diff --git "a/data/dm_maths/full_data/155_11255.jsonl" "b/data/dm_maths/full_data/155_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/155_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the greatest common factor of 107 and 1712?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-45)*35*(7 + -1). What is the hundreds digit of (-25212)\/d - 3\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31622 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -406556542 = -406556541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 9:56 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*((sqrt(78) - (sqrt(78)*-2*4 - sqrt(78) - sqrt(78))) + sqrt(78) + sqrt(78))*-6)\/(sqrt(864)\/sqrt(4) + (-3*sqrt(66) - sqrt(66))\/sqrt(11)))**2.\nAnswer: 711828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k = 32*k - 376. Let r = k + -140. What is the tens digit of r*(-7)\/2 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 + 14. Let j = t + 58. Is 12 a factor of (-1257)\/(-21) + (-7)\/j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 - (1 - 4))) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:08 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 2*l**2 - l + 1. Let y be j(0). Let b be 8\/(-2) - (2 + -2). Suppose -h = 4*g - 12, g = -4*g + 15. Sort y, h, b in descending order.\nAnswer: y, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**9\/35280 - w**7\/5880 - w**4\/6 - 4*w**2. Let r(s) be the second derivative of k(s). Factor r(q).\nAnswer: 3*q**2*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7055, -14103, -21149, -28193, -35235, -42275?\n\"Answer: s**2 - 7051*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose 1 = -4*y - v*q - 1, 3*q + 9 = -3*y. What is the tens digit of (32\/4 - 5) + 152\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3224 + 88 = 224*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14289328 from -2.\nAnswer: -14289330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 6:22 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3 - 2*u**2 + 5 + 0 + u. Let c be (-1 - 0)*(-1 - -2). Let j = -1 + c. What is w(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - ((30 - 53) + 2 + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613*a**2 + 613*a**2 + 10184*a**3.\nAnswer: 10184*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10) - 14\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.134156094 rounded to 2 dps?\nAnswer: -6.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 564 divided by -4\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8367 + -2068. Let a = q - 125937\/20. What is the common denominator of -59\/138 and a?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3194860729.\nAnswer: 3677, 868877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 116*k**2 - 346*k - 2. Let n be g(3). Solve 12 = n*r - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(432) + (sqrt(432)*-1 - sqrt(432) - sqrt(432))).\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -8, -30, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.1302?\nAnswer: -4.8698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 11195*f - 5670*f + 10035*f - 3*f**2 - f**2 - 15132100 = 0.\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z + 15*z + 4, 19*z - 24*z = 2*g + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 plus 135?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + (-5*((sqrt(68) + 2 - sqrt(68)) + -5) - (sqrt(68) + sqrt(68)*1 + 5 + -1)))**2.\nAnswer: -112*sqrt(17) + 467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 223993*-2\nAnswer: -447986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ookokkkkkkkokkkkkkkk. Give prob of picking 1 o and 1 k.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)\/j**(1\/9))**(-2\/61))**45 assuming j is positive.\nAnswer: j**(70\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 6:05 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -52\/19?\nAnswer: -52\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964*c - 8586 = 13464 - 3734 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 23 = 4*s, 4*o - 43 + 30 = -5*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.07, 2, 8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -7*o**2\/5 + 1381059*o\/5 + 3551526 = 0?\nAnswer: -90\/7, 197307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -37, -7656 in decreasing order.\nAnswer: -16, -37, -7656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 8*j - 3*j. Is j bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(28)\/sqrt(4)*6)**2 + ((0 + sqrt(112))**2 - (-1*sqrt(7) + 0)).\nAnswer: -47*sqrt(7) + 380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/11 + (-6592896)\/(-66). Let i be (-4)\/(-14) + c\/238. Calculate the highest common divisor of i and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 3*v - 3 = 0, -3*v = -4*c - 0*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44579.1 rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 10*d + 10. Let c(z) = 2*z**2 + 13*z + 21. Let a be c(-4). Let t be q(a). Let h(i) = -i**2 - 2*i - 1. Determine h(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 45*t + 5*t - 14*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 2*w**3\/3 - 2*w - 5. Suppose l(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + 0*m)*(m**2 + 45*m**4 - 43*m**4 + 0*m**2).\nAnswer: -4*m**5 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1346.\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*y**2 - 9 + 159*y**2 - 3*y - 10 wrt y?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 348.65851.\nAnswer: 348.75851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(10\/17))**(-6)\/((p**(2\/5))**(-24))**(4\/13) assuming p is positive.\nAnswer: p**(15048\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 = 3*f - 3, 7 = 3*k + 2*f. Let m(v) = -v**2 + 6*v + 2. Is 3 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3284.082 + 3281. Let q = 3.1 + i. Let o = q + -0.0180161. Round o to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-14 - -9) - -13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.2 + 21. Which is the closest to -1\/2? (a) 0.3 (b) v (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -2\/5, 2\/21, 4, 10184?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 2, m: 3, g: 5}. Give prob of picking 2 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 45790\nAnswer: -1\/45790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 - (73 - (258 + -78))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + o**4 - 2*o**4)*(-4 + 2 + 1) + 0*o**4 + 7 - 2*o**4 + 3.\nAnswer: -3*o**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355965389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 10:16 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from whwhhkhhhwhwkhhk?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/10*50\/6*(-15)\/20. Let b(a) = 0*a - a**3 + 11*a**2 - 2*a - 2*a - 1 - 3*a. What is b(c)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb1c4 (base 16) to base 6.\nAnswer: -104150032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8360.23 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 863 is divided by 79.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*s - 9*s + 13*s)*(-298*s**3 - 184*s**3 - 469*s**3 - 202*s**3 + 174*s**3 + 5*s**3) in the form i*s**2 + v*s**3 + j + g*s + b*s**4 and give b.\nAnswer: -16558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93187 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/3)*x**(2\/27))\/(x**7*(x**5*x)\/x))**(-26) assuming x is positive.\nAnswer: x**(8138\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -2171\nAnswer: 4342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (60\/(-8))\/(-5)*4\/3. Suppose 3*p + 0*g = -f*g + 534, -3*p + 534 = -3*g. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -5, -3\/2, -1\/40, 54?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 123*x + 16 = 126*x, -2*x - 16 = 2*v. Let j = -1\/6 + 23\/66. Which is the third biggest value? (a) j (b) v (c) -1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/16 and 199\/990?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11528 - -507. Let j = r - -11020.83829. Let p = j + 0.164. Round p to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from apoiotoppopoooipia.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -6*r. Suppose k + 2*k = -2*x + 16, 2*k - x - 13 = r. Let s be (-3 + 3)*(-3)\/k. Is s smaller than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7715514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1559*v - 1553*v + 3114*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1. Let v(u) = -u**3 - u**2 + u. Let g(b) = 2*b**2 + 4*b - 6. Let l(q) = -g(q) - 2*v(q). Let w(a) = -l(a) + 10*o(a). Factor w(i).\nAnswer: -2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10315 and -10317 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 40*k**2 - 1218*k + 5908. What is g(5)?\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -5771?\nAnswer: 6011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 7 = 1. Does 11 divide -55*(u\/5 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1560838746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*m**2 + 394190*m + 297318?\nAnswer: 8*m + 394190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3857*q**4 - 1444*q**3 - 2*q**2 - 79686482*q?\nAnswer: -46284*q**2 - 8664*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2016 (base 8) to base 9.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51232763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 275021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 234*l - 111. Let g = -567 + 571. Is v(g) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3782, 7695, 11612, 15533, 19458, 23387, 27320?\n\"Answer: 2*o**2 + 3907*o - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from {m: 4, u: 6, z: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/1 + (-8)\/1. Let b = r - -10. Suppose 3*a = 4*a + 4, 5*o + b*a = 17. Solve -o = -3*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -15. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 - -0.5.\nAnswer: -174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13569?\nAnswer: 3, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/65 and 151\/78?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4 = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*q + 31 - 31)*(-2*q**2 + 2*q**2 - 3*q**2)*(-3 + 5 + 0 + (-1 + 3 - 1)*(1 - 1 - 1) - 3 + 3 + 1 + 15 + 4 - 5 + (6 + 0 - 4)*(4 - 4 - 1)).\nAnswer: -462*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 49571, 49437, 49303?\n\"Answer: -134*j + 49705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 744196174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*u + 42*u + 12*u)*(1 + u - 4*u + 5*u) to m*u**2 + f + o*u and give o.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 4*x + 5. Give c(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -3*w + 54, 3*w + n = -0*w + 42. Suppose 7*c - w = 2*c. Suppose -c*m + 160 = m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -153 (b) -1\/4 (c) -0.1 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 - h - 7. Let a be (-1)\/(-2)*-1*(51 - 39). Let g(b) = 3*b**2 - 3. Let o(r) = a*m(r) + 13*g(r). Let o(y) = 0. Calculate y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-141628\nAnswer: 141628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -11979125?\nAnswer: 11979129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 4*h - 6 + 4 - 7 = 1, 4*h = 2*m - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16830 and 225675.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 - 24094*v\/5 + 144636\/5.\nAnswer: -2*(v - 6)*(v + 12053)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 13426129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 14*u + 2*x + 9 = 0, 0 = -4*u + 4*x + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i**(-1\/3)*i)\/i)*i**(-2)*i*(i**(1\/22)\/i)\/(i\/(((i*i**(6\/13)\/i)\/i)\/i)) assuming i is positive.\nAnswer: i**(-1853\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63)\/(-2*sqrt(700)))\/(-2*sqrt(75)*6 + (5*(sqrt(75) - sqrt(75)*-2) - sqrt(75))).\nAnswer: sqrt(3)\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:47 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332252280 divided by -540.\nAnswer: 615282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 44*m = 0. Calculate the remainder when (-552)\/(18\/(-6))*(m - -1) is divided by 41.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 8 + -3 + -163 + 158.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of u**5\/30 - u**4\/24 - 13*u**3 + 131*u**2. Let j(q) be the first derivative of h(q). Determine j(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33777 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 + 0*m**4 + 2*m**4 + 1 - 96*m + 44*m - 59*m as k*m + s + j*m**4 + c*m**2 + d*m**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 1734 = 5*t - 101*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 1. Let x be g(3). Suppose j = -3 + x. Solve 5 = 3*u - j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 35 = 3*y. Let n be y\/(-3 + -2 + 4) - -2. Factor n*b - 27*b - 14 - 5*b**2 - 6.\nAnswer: -5*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94359 is divided by 9422?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 44646 less than -1454735201?\nAnswer: -1454779847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -254*b**3*s**2 - 3*b**3 + 27*b**2 wrt s?\nAnswer: -508*b**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19815 + -19815. Solve 2077*s - 2080*s + 24 = m for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 38*k**2\/5 - 38*k - 154\/5.\nAnswer: -2*(k + 1)*(k + 7)*(k + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 768134993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, n: 1, k: 2, r: 3, w: 1, f: 3}. Give prob of picking 1 f and 1 r.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 566193 times -6\nAnswer: -3397158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/11 + 0 - (-540)\/297. Let f(s) = 80*s**4 - 2*s**3 + 4*s - 45. Let y(a) = a**4 - a**3 + 2*a + 1. Let d(x) = l*y(x) - f(x). Differentiate d(u) wrt u.\nAnswer: -312*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*c - 4*l - 0*l, -4*l + 4 = 0. Let j be 1\/(-2) - (-5 - c\/(-6)). Calculate the greatest common divisor of 16 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 7*s**2 - 4. Let o(c) = 56 + c - 57 + 7*c. Let g be o(1). What is w(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8065, 412 in descending order.\nAnswer: 8065, 412, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30153 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101111001100001010 + 0?\nAnswer: 1111101111001100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**3\/3 + 4*t**2 - 6*t + 2. Let r be u(7). Let q be 0 + 80 - 3\/r. Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 446 = 8*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1 - 4 + c**2 + 65. Let h be v(0). Suppose -t - h = -4*t. Solve 6*j + t = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185 - 182 + 4*v**2 + 0*v**2 to the form g*v + f*v**2 + s and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2405, 5273, 8151, 11045, 13961, 16905, 19883?\n\"Answer: i**3 - i**2 + 2864*i - 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**9\/5040 - n**7\/1260 + n**4\/6 - n. Let b(i) be the third derivative of s(i). What is the third derivative of b(a) wrt a?\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -37, -72, -131, -220, -345?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 9:57 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 2.42448.\nAnswer: 0.242448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 269083.74 months in centuries?\nAnswer: 224.23645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - d - 5 = 0, 2*i + 3*d + 4 = 3. Does 22 divide (i - 1) + (-653)\/(-6)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4 and 71\/10 - (2\/(-4) + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -5, 95 in increasing order.\nAnswer: -5, 0, 8, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2847 - 4087. Let x = 33240 + v. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3 - 128868*c**2 - 773316*c = 0. Calculate c.\nAnswer: -6, 0, 42962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**6\/60 + 3*h**5\/50 - 19*h**4\/40 - 43*h**3\/30 + 9*h**2\/10 + 4*h - 271. Find l such that n(l) = 0.\nAnswer: -5, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6925.2525 rounded to the nearest integer?\nAnswer: -6925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**2 - 15*l + 20 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q + 15. Let h be 5\/(285\/38)*-6. Calculate t(h).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183\/3784 + -1\/344. What is the common denominator of s and -17\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**5\/20 + y**4\/12 - y**3\/3 + 7*y. Factor q(u).\nAnswer: u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046 is divided by 520.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3*1)\/(28\/42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*k**3 + c**2*k + 31*c*k - 593*k**3 wrt c?\nAnswer: 4*c*k**3 + 2*c*k + 31*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 6. Let r = 31 - 37. Let n be -10 - -5 - -8 - r\/2. Let c(v) = -v + 1. Let w(d) = n*c(d) + s(d). Let y(a) = 10*a. Give y(w(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 11*o + 10. Let s be l(10). Suppose -2*v - 2*c + 6*c + 118 = 0, -v + 4*c + 63 = s. Suppose 0 = -3*f - 2*f + v. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204956000 rounded to the nearest 100000?\nAnswer: 205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -120077326, -120077328, -120077330?\n\"Answer: -2*u - 120077324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 167*u**5\/4 - 121*u**3\/2 + 42*u + 1. What is the second derivative of f(m) wrt m?\nAnswer: 5010*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814869063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 947880431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -678461.99721123 - -678462. What is n rounded to five decimal places?\nAnswer: 0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6840.977km?\nAnswer: 6840977000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -130*q. Let l(i) = 25*i - 117*i + 32*i + 32*i + 29*i. Calculate l(r(g)).\nAnswer: -130*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 170 = -5*s, -115*o + 113*o = -s + 34. Suppose -s*w + 19*w = -8130. What are the prime factors of w?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2 + 1060*z + 280900 = 0. What is z?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/4 + 5*o**3 - o**2 + 4*o - 16. Let m be h(15). Let i = -22 - m. Solve -3*u = -2*x - 7*u, i*x = 5*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001477897 rounded to 6 dps?\nAnswer: -0.001478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3752373mm?\nAnswer: 375237.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yybb when four letters picked without replacement from ybbyyyybbbbbybbybbb.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*n + 14 = -2*n, 13 = 5*u - n. Suppose 0 = 3*c - u*c + 3. Let p = c - -16. What is the remainder when 24 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in 9\/7, 2\/5, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*v + 155, -4*w + 137 = -3*v - 20. Solve -t - w = -9*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 - 5. Let q = 58 + -63. Let s be (-7)\/q - 18\/l. Put -1, s, 2 in ascending order.\nAnswer: -1, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1264da?\nAnswer: 1264df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -248.7\nAnswer: 99.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 86. Let h(l) = -120. Let t(j) = 4*h(j) + 5*x(j). Determine t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(((-61600)\/750)\/77)\/(8\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, -135, -372, -583, -762, -903, -1000, -1047?\nAnswer: -1038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64\/5 + 536\/45. Is -1.3 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2634*t - 74358. Give g(29).\nAnswer: 2028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23461*v**5 - 24*v**2 - 1746*v - 287?\nAnswer: -469220*v**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iqqqqqi. Give prob of picking 1 i and 3 q.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.75373 to one dp.\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577997?\nAnswer: 7, 82571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 0 (b) 0.4 (c) -2913 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 7*l - 25 = 0. What is the greatest common divisor of 5 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476376 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2614.\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*s**2 + 2116\/3 - 4228\/3*s.\nAnswer: -4*(s + 529)*(2*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 176273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-12) + 2)\/(2\/(-3)). Suppose 3*v = m + 12, 0 = 2*m - v + l*v - 4. Let c(b) = b**3 + b + 5. Give c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28308 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 9*h - 71. Let j = h + 78. Suppose -5*z + j*z = 2422. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1169840+-0.4\nAnswer: -1169840.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2303 + -14?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 22 = 4*w - 30, 4*w + 5*y = 76. Suppose w + 1 = 5*g. Suppose -4*p + 18 = 2*n - g*p, -4*p = -3*n + 49. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71.237 + -0.837. Let z = j - 70. Which is the closest to -0.04? (a) 0.5 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407.6 - 2.09\nAnswer: -409.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16026 + 16033. Suppose 2*j - 2*k - 4 = 0, 3*k + 8 = 3*j - j. Let z be -1 + 6\/((-4)\/j). What is the nearest to z in b, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = -4*s. Let t = -777 + 779. Put t, s, -4 in descending order.\nAnswer: t, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 13 - 4. Suppose -w*h + 350 = -244. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220 - -207. Calculate the remainder when 30 is divided by (26\/(-4))\/z + (-17)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 + 21*t**2 - 98*t - 917. Calculate r(-10).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 18*f**2 - 14608*f - 58080.\nAnswer: (f - 132)*(f + 4)*(f + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 623784.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/2349 - -25066\/11745. Calculate the common denominator of i and -77\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*a - 5*m, 5*a = -0*m + 3*m + 129. What is the third derivative of -97*s**3 - a*s**2 + 1 - 1 - 120*s**2 wrt s?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/8187 and -32\/13179.\nAnswer: 35965491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkk when three letters picked without replacement from {j: 4, l: 7, k: 7}.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1121?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15180 = 673579*y - 674085*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 20*u**2 + 34*u + 7. Does 10 divide i(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6))**(-17) assuming o is positive.\nAnswer: o**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 - l. Let q(z) = -4*z**3 - 2*z**2 + 2*z - 2. Let u(n) = 2*n**2 + 139*n - 211. Let d be u(-71). What is d*h(r) + q(r)?\nAnswer: -6*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 3*a + 96. Let g = 27 - a. Suppose -3*x + 3*s - s = -2, 0 = 3*x + 4*s - 32. Put -1, g, x in increasing order.\nAnswer: g, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 13 - 7)\/((-7)\/35). Solve -s*c = 14*c - 144 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -12212121112022020?\nAnswer: 12212121112022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l - 2*w + 108, -5*l - 3*w = 113. Is (-22854)\/l + (-16)\/(-88) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + -9. Is 4690\/16 + 2\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -6\/7 (c) -7834 (d) -2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 233*x**2 + 109*x + 340. What is the remainder when y(-3) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 369*d**3 + 14 - 4)*(2*d - d - 3*d).\nAnswer: 738*d**4 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -21. Suppose 2*j + f = 2 + 3, -2*f = -2*j - 4. Suppose 2*c - j - 19 = 0. What is the least common multiple of c and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26839.48 tonnes to micrograms.\nAnswer: 26839480000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 2, f: 1, y: 2, m: 1, i: 1}. What is prob of sequence im?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6180*o**2 - 364*o + 1079. Is c(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, h: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 0.303\nAnswer: -17.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310430801 to the power of 1\/2, to the nearest integer?\nAnswer: 17619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.17 - 2.83. Sort 3\/5, y, 3 in ascending order.\nAnswer: y, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*d**2 + 686*d**2 - 318*d**2 - 173*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34104003 and 535.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*((-3)\/(-6) - 1). Suppose 0 = 4*l + 4*p - 96, -5*l = -w*l - 2*p - 120. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 412, 1359, 3358, 6919, 12552, 20767?\n\"Answer: 85*u**3 + 16*u**2 + 304*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*w + 106 = 10. Is (5 - 196)*(4 - (w - -2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + sqrt(539) + 1 + sqrt(539) + 4 + 4)**2.\nAnswer: 392*sqrt(11) + 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from efeeqbeeebeeemfqbyf.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3899112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380887 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -145\/67 less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.8236 - -0.1236. Let p = w + 100. What is p rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2 + 2*g - 4)*(-6*g**3 - g**2 + 2*g**3 + 2*g**3).\nAnswer: 2*g**4 + 5*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2752*m**3 + 254*m**3 + 184 - 184.\nAnswer: 3006*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10788*k + 10826*k + 1171 + 919 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*q + 59*q = 5*x - 13853, 6*x - 4635 = -q. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.5 (c) 3\/133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 301 + 14 = 0 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5*p**2 + 15*p**4 + 55\/3*p**3 - 11 - 9*p**5 + 0*p. Suppose d(o) = 0. What is o?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2166 smaller than 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3769894 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40373 + 40371 + 644*t**3 - 80744.\nAnswer: 644*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1673028205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1830.3911 + 0.2911. Round i to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4770066?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28943 and 2248?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = 2*x - 3*r + 17, -2 = -4*x + 2*r. Let q be 1\/(-2) - ((-52)\/(-8))\/x. Suppose -q*w + 119 = 17. Solve 1 = -4*a + w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6578, 6576, 6574, 6572, 6570, 6568?\n\"Answer: -2*j + 6580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**23)\/f))**(-1\/56) assuming f is positive.\nAnswer: f**(11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6472 and 4552.\nAnswer: 3682568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4538\/9 (b) -2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3360 divided by 5?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 54. Let y(x) = -x**3 + 3*x**2 - 2*x + 3. Let q be y(2). Suppose q*v - 48 = -d. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 827 - 414 - 413 + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times -0.77?\nAnswer: 0.0077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g - 1. Let f be 80\/(-12) - 3\/9. Let u = f - -8. Let m(t) = 7 + 24*t - 24*t - 5 - 3*t**3. What is u*m(p) + h(p)?\nAnswer: -2*p**3 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1692976 or -1693040?\nAnswer: -1693040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - n + n**3 + 6*n**2 - 3 + 0*n**2 - 3*n**2. Let d be l(-2). Let a = -1 + 0.8. Is d greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7486602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n**3 - n**2 + 2*n - 1. Let i(p) = 8 + 7 + p**2 - p - p**3 - 33 + 6 + 13. What is i(h) + j(h)?\nAnswer: 8*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81\/31 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-86)\/(-4))\/((-3)\/6). Let z be -166*(3 + (-21)\/6). Let q = z + h. What is the highest common divisor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4))**7*b**9\/(b*b**(-7)) assuming b is positive.\nAnswer: b**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 - 284. Let w = 127 + o. Suppose -18*u - w = -11*u. Let m(i) = -12*i**2 - 2*i - 1. Give m(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(4 - 182\/46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316*1.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 61 - 16. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (0 + (-7 - -12 - -1) - (-1 + 8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Work out 19 - 0.226.\nAnswer: 18.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-241 + 304 + 65*h**2 - 66*h**2)*(-h**2 - 2*h**2 - h**2) in the form b*h**3 + g + i*h + w*h**4 + d*h**2 and give d.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108226993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -14132334?\nAnswer: 14132332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 9*i**2 + 11*i - 1. Let b be 17\/2 - (-24)\/16. Suppose -7 = -2*r + 3. Calculate the remainder when s(b) is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 28.8770806?\nAnswer: 28.8770806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - (-24 - -25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -9)*(-7)\/14. Suppose -5*y = -x*h + 22, h - 2*y + 5 = 4*h. Let n = 6 - h. What is the remainder when 4 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(19) + 1 - sqrt(19)) - sqrt(19)) + -1)*-6.\nAnswer: -6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121.2 + -8307552648.15.\nAnswer: -8307552769.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 - -1005\/7. Which is bigger: b or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 5*z + 18. Let x be h(2). Solve -6*r - 6 = -x*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 3*s - 1. Let c be ((-12)\/(-16)*2)\/3*6. Give u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*v)*(6*v - 118 + 47 + 55).\nAnswer: -18*v**2 + 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 96*b*q - 2*b + 3*q**3 + 437 wrt q?\nAnswer: 96*b + 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31726, -31733, -31754, -31795, -31862, -31961?\nAnswer: -32098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -26*w - 22*w - 80 + 11*w. Is 23 a factor of v(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4227 + 7.47.\nAnswer: 7.0473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19092937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.3162 times 60\nAnswer: 78.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 704, 4455, 10674, 19361?\nAnswer: 30516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*a**4 + 6*a**3 + 70 wrt a?\nAnswer: -16*a**3 + 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5323*g - 3 + g**3 + 5325*g + 5*g**2 - 5.\nAnswer: (g - 1)*(g + 2)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -2*f**3\/15 + f**2\/5 + 33. Determine p so that h(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3555, -19852 in descending order.\nAnswer: 3, -3555, -19852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50832 = 2*q - 3*l, 7166*l + 50816 = 2*q + 7165*l. Is 29 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 211, 681, 1945, 4399, 8439, 14461?\n\"Answer: 66*u**3 + u**2 + 5*u + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**5 + 291813*y**4 + 2*y**2 + 1754*y + 297?\nAnswer: -120*y**2 + 7003512*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2244 and 3560072.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**2 + 3*p + 31. Determine t(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 8*g**2 + 9*g - 5. Let k(c) = c**3 - c**2 + c. Let z(w) = 2*k(w) - y(w). Let a be z(5). Let i be 31\/(-4) - (-3)\/4. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6736, -13479, -20222?\n\"Answer: -6743*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2 (b) 0.1 (c) -3\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -43.1 * -0.3\nAnswer: 12.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15352?\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 64642.95 to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 43*k**2 + 22*k - 61. Let o(j) = -14*j**2 - 8*j + 19. Give 13*o(f) + 4*y(f).\nAnswer: -10*f**2 - 16*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1647538594+-8\nAnswer: -1647538602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 616*v - 4191. What is the units digit of f(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -49. Suppose -2*q + 9*q - 3311 = z. Let u be q\/55 + (-6)\/10. Solve 4*v - u + 24 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 31 (c) 242646\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 64.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 25 = 5*o, 27*h - 32*h = 4*o + 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3729?\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 368829 divided by -40981?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26038*m + 24985*m + 38606 + 3514 = 0 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(3 + -1)*-6. Let h be (8\/w)\/(4\/18). Suppose -18 = -h*t - 6. Solve 9 = t*q - q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167 greater than 3179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.004 + -34.004. Let c = 33.93 + m. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 14 = 5*b - 2*b + 85, -172*b + 171*b = c + 33 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by -392042?\nAnswer: -4\/28003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -33*n**2 - 73*n - 147. Let a be o(-3). Suppose -2*s + 444 = -4*s. Is a at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 257, 362, 451, 524, 581?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*a + 802*a - 425*a - 104*a - 109*a.\nAnswer: 62*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1844633 - -3?\nAnswer: -1844630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooooooooaooaoo. What is prob of picking 1 a and 3 o?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89135.\nAnswer: 5, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38236, 152859, 343898, 611353, 955224, 1375511, 1872214?\nAnswer: 2445333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1331154 is divided by 394?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 6*y + 269. Calculate x(-15).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 2, t: 3, w: 5, a: 5}. What is prob of picking 1 w, 1 t, and 1 g?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6)*69\/(-161)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -32*s - 65. What is u(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -92*h**3 - 3*h**2 + 2*h - 2. Let k be j(2). Let p = 1786 + k. What is p rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 8 = -0*d. Suppose 4*n + 10 = 2*w - d*w, 4*n - 11 = 5*w. Let s(o) be the first derivative of -3*o**4\/4 + o**2\/2 - 1. Calculate s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j. Suppose 5*k + 3 + 7 = 0. Let h be 4*((-9)\/6 - k). Let w(q) = -h*q - 4*q + 2*q. Calculate g(w(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25721 + 25748 - 181*q**2 + 7*q - 3*q.\nAnswer: -181*q**2 + 4*q + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 83*o**2 - 33567*o + 3788. What is w(-152)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1435442319, -1435442321, -1435442323, -1435442325, -1435442327, -1435442329?\nAnswer: -1435442331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 658 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - l**2 - 3*l**2 + (-330 + 270 + 164)*(4*l**2 + 0*l**2 + l**2) + 0*l**2 + 4*l**2 - 2*l**2.\nAnswer: 524*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*((-20)\/8 + -3) - -7)*-13. Suppose -5*g + 0*r = -3*r - 207, -2*g + 82 = -r. Calculate the highest common factor of g and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 5*y + 6, -3*x + 2*x + 3 = 5*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((6\/5)\/(1\/(-5))). Find z such that 0 - z**3 + 1\/3*z**5 + 2\/3*z - b*z**4 + 1\/3*z**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1813, -5, 1, 6 in decreasing order.\nAnswer: 1813, 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 9*f - 5. Let o be z(-7). Let c(y) = 2*y**2 - 11*y - 10. Let a be c(o). Let l = a - -24. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(704) + sqrt(77)\/(sqrt(28)\/sqrt(4)) + 5.\nAnswer: -7*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose 5*v = -13 - d. Suppose -3*s - s = 16. Put s, 0, v in increasing order.\nAnswer: s, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 5, b: 4}. Give prob of sequence bb.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c = 119*c - 60*c + 8550. Does 34 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 19*i - 187. What is b(-26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85575 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1206019164 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 10973, -9 in decreasing order.\nAnswer: 10973, -9, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13699980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**2 + 2*s**2 + 4*s**2)*(2 + 86*s - 34*s - 19*s) as l*s + j + g*s**3 + k*s**2 and give g.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 868 (base 9) in base 11?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -75*u*v**2*w**3 + u*v**2*w - u*v**2 + 275*u*v*w**3 + 2*u*v*w + 18*u*w**3 + 16*v**2 + 2*v*w**2 - 2*v*w wrt v?\nAnswer: -150*u*w**3 + 2*u*w - 2*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n + 336 = 57*n. Calculate the remainder when n is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*d + 68*d + 16625 = 150*d + 84*d for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -96017*j**2 - 68402 wrt j?\nAnswer: -192034*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/10 and -71\/3954?\nAnswer: 19770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.18 - -0.72. Let t = 19.9 - u. Let a = t - 17.0038. What is a rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 96235248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686*v**5\/3 + 784*v**4\/3 + 2450*v**3\/3 - 3100*v**2\/3 + 392*v - 48 = 0 for v.\nAnswer: -2, 2\/7, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 times 361\nAnswer: -12.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 4}. What is prob of picking 2 l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -19132*(-7)\/168 + (-2)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222570.\nAnswer: 2, 3, 5, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 814120 to the power of 1\/2, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9403.\nAnswer: 9403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9*w**2 - 6*w - 7. Let v(o) = -o**2 - o - 1. Let t(i) = -u(i) + 6*v(i). Give t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 17.8, 1\/15, 0.02 in increasing order.\nAnswer: 0.02, 1\/15, 1, 5, 17.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 247 = -4*m. Calculate the remainder when 63 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -356.95 - -357. Sort 0, k, -4 in descending order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1023, -284, 455, 1194?\n\"Answer: 739*g - 1762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*(-6)\/(-12)*-1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.73 - -8.37. What is n rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 2535689527.\nAnswer: 2535689532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -21. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 677, 707, 701, 641, 509, 287, -43, -499?\n\"Answer: -3*w**3 + 51*w + 629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.37 times 0.2\nAnswer: -1.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 2\/5, -5.2, 1\/2, 638, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -45773 - 30587. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 25 (b) 2\/9 (c) -2 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 6*w + 48*w**2 - 6*w + 2.\nAnswer: 43*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**2 - 5*a**2 + 4*a**2)*(-3 - 1 + 3)*(2 + 2 - 2)*(1 + 3*a - 1) as f + b*a**2 + h*a + y*a**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 23. Give l(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 571ee (base 15) in base 16?\nAnswer: 43acf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 1788?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6.2, -237, -3 in decreasing order.\nAnswer: 6.2, -3, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 46. Suppose 2*v + q*f = -2*v + 16, 5*v + 10 = 5*f. Solve 0*w - 2*w = v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3052?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723069639.4 plus -0.06?\nAnswer: 2723069639.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138379 * -0.21.\nAnswer: 29059.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a week?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21310, 27012, 32716, 38422?\n\"Answer: q**2 + 5699*q + 15610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 61. Let q(z) = z**3 - 4*z**2 + 2*z - 6. Let u be q(5). Let l = u - 34. Sort -39, l, y in increasing order.\nAnswer: -39, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 26821*v**2 + 8 - 132*v**2 + 28 to the form y*v + z*v**2 + h and give z.\nAnswer: 26689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.9. Let i = y + 0.05. Let z = -3.27495 + 0.27495. Put -4, i, z in descending order.\nAnswer: i, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 5*t**2 - 2*t**3 + 1 - 5*t**2 + 0 + 11*t**4 to the form y*t + p*t**4 + z*t**3 + s*t**2 + b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 176835088 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*u - 27 - 1 = 0, -w + 2*u + 10 = 0. Calculate the least common multiple of 4*3\/w*18 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 3 - 3. Suppose 0 = -4*k + 51 - 31, -3*k = -i - 6. Suppose -i*j = -648 + 918. Let q(z) = -35*z. Give j*l(o) - q(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5164 - 18a5b?\nAnswer: -138b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -4616098?\nAnswer: 4616097.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 2 - (2 + -2). Let p(v) = v**2 - 4*v + 7. Let m be p(g). Factor 14\/3*x**m + 2\/3 + 6*x**2 + 4\/3*x**4 + 10\/3*x.\nAnswer: 2*(x + 1)**3*(2*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484374 and 594?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 8*n**2 + 122*n - 663. Let i be p(5). Solve -2*o - 3*u = -i, -14 + 6 = -2*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/2254)\/(768\/(-1792))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 69*j**2 + 3*j - 2. Let g be m(1). Does 13 divide 393\/5 + (-42)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -372*a + 370*a + 4, 3*a = -j + 7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 148 = -4*b, -3*m + 158 = 4*b - 4*m. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169768 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: Let c(r) = 249*r**2. Let t(v) = 78*v - 78*v + 47*v**2 - 19*v**2 - 19*v**2. What is c(t(h))?\nAnswer: 20169*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a - 4*v + 12 = -18*a, 3*a - 5*v + 19 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 0*l**2 + 2*l**2 + 6*l**2 - l + 2. Is d(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -q + 43 - 45, -5*m + 8*q = 27 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100095 * 0.4.\nAnswer: -40038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r, n = 3*n + 3*r - 21. Let b(c) = -c**3 + 4*c**2 + n*c - 5*c + 3 + 0. What is b(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 19 - (-6 - (5 + -10)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 230*j - 1413. Give k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -343 divided by -19294?\nAnswer: 343\/19294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(468) + -1 + sqrt(468) + 1)*4 - (2*sqrt(468)*5 + -1))*-3)**2.\nAnswer: -5400*sqrt(13) + 421425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3383 and 2?\nAnswer: 6766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 2:47 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.35. What is the nearest to p in -2, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113.8 - -116. Which is the nearest to 0.1? (a) 3 (b) s (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10102, -40445, -91018, -161821, -252854, -364117?\n\"Answer: -10115*o**2 + 2*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1513 = -5*s + 457, -2*p = 3*s - 1198. Is 66 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -436334 by -261.\nAnswer: 15046\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - d**2 + 1. Let k(w) = -w**2 + w - 1. Let n(p) = -p**3 + 2*p - 7. Let b(q) = -4*k(q) + n(q). What is -b(z) - 3*y(z)?\nAnswer: -2*z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 225334266 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -1, -1\/7, -10, 0.3, -12062?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15500570 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + 4\/16. Suppose -5*r + 6 = p - 9, -3*p + 15 = 0. Does k = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 722, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**3 + 2354*g**2 - 2532*g - 388804. What is p(-262)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/113? (a) 3 (b) 2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71.0448 - 71. Let b = l + -0.05. Round b to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, n: 2}. Give prob of sequence yynn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m - 3*i, 0 = 4*i - i + 3. Suppose -8*o + m = -30. Let j(s) = -s**2 + 6*s - 4. Calculate j(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -5*v**4\/6 + v**3 - v**2\/2 + 7203*v. Let h(j) = -j. Give c(h(n)).\nAnswer: -10*n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + 0*u)*(145 + 138 + 11)*(-3 + 2 + 0 + (-3 + 0 + 4)*(1 - 4 + 2)).\nAnswer: -588*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513708 divided by -216244?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/109 + -203\/1635. What is the nearest to -1 in -2, 1\/6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 2*h**2 + 3*h + 3. Let k be 45\/(-60) - 9\/(-12). Let x be j(k). Solve x*c - 2 + 5 = -2*p, -6 = 3*c + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 7*y + 4. Let c be f(7). Is (-593)\/(-5) + c\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3\/3 - j**2\/2 + 9*j + 6. Give w(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 2:39 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c - m = -13*c - 6, -3*c + 4*m + 22 = 0. Solve -8 = y + c*y - r, 6 = -y - 3*r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 1. What is the remainder when w(11) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - q**2 + 8218*q + 5 + 3*q**2.\nAnswer: 2*q**2 + 8218*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.98642um in meters?\nAnswer: 0.00004498642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 26*l + 72. Let o be q(-23). Solve 0 = -o*f + 2*n - 4*n - 12, 0 = -2*n for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1544818117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/56 - 15\/8. Calculate the common denominator of a and (10\/(-1068))\/(952\/15008) - (-4)\/34.\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 851 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 4, a: 8, o: 2, e: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -13*g**2 + 4*g - 2. Let f(d) = 4*d**2 + d + 1. Let k(q) = c(q) + 3*f(q). Determine k(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 3:59 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -65968 divided by 38?\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 164 = -21*p. Let y be (p + -37)*(-22)\/(-8). Solve -y = -i - 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15104784 * 5\nAnswer: 75523920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -5*sqrt(6)\/(sqrt(3) + sqrt(3)*-2))**2.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1022.229 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1139771480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 10. Let v be d(-6). Let q be (-392)\/(-32) + (-3)\/v. Let k = 28 - q. 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 636 minutes before 12:32 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((26 - 4)\/2)\/1. Suppose 3*m - 5*z - r - 41 = 0, -3*z = 15. Let i be (-33)\/(-27) - 2\/m. Solve 2*t - i = -3*j, -4*j = j - 5*t + 40 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17910*z - 1. Let j(p) = p**2. Determine j(c(g)).\nAnswer: 320768100*g**2 - 35820*g + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*k - j, -2*k + 5*j + 9 = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*g - 5, 1 + 8 = -5*v + 3*g. Let o be (16\/v)\/4*-3. Solve 2*m = o*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(24\/(-112)) + 4. Which is the closest to -1? (a) 3.8 (b) 3 (c) -2\/13 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 + 33*m**3 - 14*m**2 = 0.\nAnswer: -7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 5*i + 23, w - 5*i = 10 + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 17. Let i be z(-17). Let b = i + -11. Let a be b\/(-22) - 5\/(-2). Solve 0 = -a*w + 2 + 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/10, -4\/5, -33?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/60 - r**5\/60 - r**4\/24 + r**3\/6 - r**2 - 85*r. What is p(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788*y = 1787*y + 1529. What are the prime factors of y?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -879\/2 < -440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*w**3 - 66*w**3 - 6*w**2 + 172 + 6*w**2 - 33 + 2*w with respect to w.\nAnswer: -141*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w + 9*w + 15*w - 2*w**2 - 28*w**2. Let c(x) = -30*x**2 + 16*x. Let o(v) = 6*b(v) - 5*c(v). Find the second derivative of o(k) wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8501.\nAnswer: 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, l: 3, g: 7, x: 2}. What is prob of picking 1 x, 1 g, and 1 u?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**7\/420 + m**6\/180 - m**5\/120 + m**4\/24 - 2*m**3\/3 - m. Let h(a) be the second derivative of n(a). Calculate h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 24*c - 19629 = 19*c. What is the least common multiple of 33 and c?\nAnswer: 23991","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 224*q**3 + 8 - 232*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Let s be q(2). Let k(c) = c**2 + 5*c - 3. Let b be k(-6). Suppose -b*t - s = -0*t. Is 0.2 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8672714*-4\nAnswer: 34690856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95427 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeuuuaauauaeu. Give prob of picking 2 u and 1 e.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37734 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1370\/170503 or 0?\nAnswer: -1370\/170503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 207935881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -7\/4 (b) 723 (c) -3 (d) 2 (e) -1 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, 33, 3231, -1 in decreasing order.\nAnswer: 3231, 106, 33, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12613*q + 10904*q + 1711*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1166889 or 1166890?\nAnswer: 1166889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -26\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v + 0 + 4\/27*v**3 + 1\/36*v**4 - 11\/270*v**5 - 36*v**2 + 1\/135*v**7 - 1\/180*v**6. Let k(f) = 0. Calculate f.\nAnswer: -1, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19831 or 416464\/21?\nAnswer: 416464\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 56\/5 + (-5)\/25. Let k be (23\/((-345)\/y))\/(2\/(-5)). Factor 1\/2 - f**k - 1\/2*f.\nAnswer: -(f + 1)*(2*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -843 less than -852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + 1. Let v(b) = -11*b - 4. Calculate -17*i(f) - 6*v(f).\nAnswer: -2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 25 + -34 + 28. Suppose -5*x + 3*r = -24, s = x + 4*x - 5*r. Solve -l - d - x = 0, -d - 2*d - 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.08 (b) -3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-18))\/((-20)\/8). Which is the second biggest value? (a) 5 (b) 0 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/11)*w*w)**(1\/2)*w*w*((w\/(w*w**(2\/37)))\/w)\/w*w*w**(-1\/7) assuming w is positive.\nAnswer: w**(5396\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 112\/5 != 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822*u - 46*u**2 - 43*u**2 - 408*u - 46*u**2 - 414*u + 133*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 20*g + 13. Determine b(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3530527*o**4 + 1584570*o**2 wrt o.\nAnswer: 84732648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/51929?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 5 - 4)*(2*f - 2 + 4 - 3).\nAnswer: 28*f - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:57 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12003\/5 + -2421. Let r = 21 + m. Let b be (-1)\/12 + 1\/(-4). Put b, -3, r in descending order.\nAnswer: r, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -3*a**2\/2 - 14*a - 11. Calculate the remainder when 74 is divided by g(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 735 + -735. Let h = -6 - -10. Which is the smallest value? (a) h (b) y (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -257*p**2 + 17995*p - 341. Determine u(70).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.167 + 9.067. Let t = c + -6.9. Which is smaller: 212 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-131250)\/3*(-168 - -8). Round c to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(14\/3)*x)**20\/(x\/(x**(2\/21)*x)*x)**39 assuming x is positive.\nAnswer: x**(1639\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/762 and 95\/22.\nAnswer: 8382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -5*t**5\/24 + 35*t**4\/24 + 23*t**3\/3 + 17. Let u(p) be the third derivative of g(p). Differentiate u(o) with respect to o.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*j, -9*j - 83 = 4*m - 14*j. Let n = m - -50. Round n to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024668848 rounded to 6 decimal places?\nAnswer: -0.024669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129485852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -17*q**2 - 293*q - 65. Let w be r(-17). Which is the closest to 7? (a) 4\/3 (b) 4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 - -294. Let o = u + -493.719. What is o rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122496.893 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5188*y + 32500 = 4538*y for y.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -12, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*z - 2*y + 3 = -86*z, -5*y + 30 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 34765572288?\nAnswer: -34765572288.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*n - 35 + 91 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 132611105063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12370 - 12365. Solve -4*z - 3*q = -15, -4*z + 94 = -o*q + 119 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7, 2\/2131, -2, -4?\nAnswer: 2\/2131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(1610\/(-40)))\/((-16)\/24).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 + a + 727. Let p be f(0). Let x = 728 - p. Let y(l) = 29*l**2 - l. Calculate y(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2575 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 7:42 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-510)\/(-408) - (1 + 3\/8).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.252349 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 282086 - 73342479\/260. Find the common denominator of -80\/117 and h.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 24 + 28 = -3*q, 7*v = 2*q - 29 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 + 0 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 191.1499 weeks?\nAnswer: 32113.1832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31 - -30?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 489 divided by 1?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 5*p + 3*h - 3, 3*h + 24 = 4*p. Let i(x) be the second derivative of 0*x**4 + 0*x**5 + 0*x**p - 2*x + 0*x**2 + 1\/105*x**6 + 0. Factor i(w).\nAnswer: 2*w**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpp when three letters picked without replacement from {j: 3, o: 6, b: 1, c: 2, p: 4}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/15549 + 31108\/77745. Factor -g*i**2 - 6\/5*i + 0.\nAnswer: -2*i*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbhwefw. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0067281459 rounded to 5 decimal places?\nAnswer: 0.00673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 2*g)*(-2*g + g + 2*g) - g**2 + 2 - 2 - 5*g**2 + 5*g**2 + 2*g**2)*(2*g - 4*g + g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/25 + 61936\/(-5530)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k - 1. Let x = -5 - 23. Let f(j) = j**3 - 10*j**2 + 5*j + 5. Let c be f(9). Let w = c - x. Determine l(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2212327\/20853 - 11\/2979. Let c = 106 + u. Let y(p) = -p. Let z be y(-1). Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*j**2*n**2 - 2*j**2*n + 22*j*n**2 - 7430*j + 4*n**2 wrt n?\nAnswer: 30*j**2 + 44*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 965*z + 202019. Determine f(-211).\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163175 is divided by 1813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:21 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 41 + 9 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285514?\nAnswer: 2, 142757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, -3, 0.037, -8\/3?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t**3 - 36*t**2 + 104*t - 41. Let z(a) = -2*a**3 + 2*a**2 + a + 1. Let j(q) = -5*o(q) + 35*z(q). Find h, given that j(h) = 0.\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-9) + 6759\/27 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.03 - 0.03. Suppose -2 = -p + 3*f - f, f + 11 = 3*p. Let s be (-5)\/(-2)*7\/(-105)*p. Which is the second biggest value? (a) i (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19507 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 167, -1829, -5107, -9667, -15509?\n\"Answer: -641*q**2 - 73*q + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 0*i - 20*i**2 - 226003\/24*i**4 - 5\/2*i**3. Let d be l(-5). What is d rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35581092 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4640 and 139200.\nAnswer: 139200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 10*q**2 - 13*q - 16. Suppose -4*k + 3*k - 11 = 0. Let u be c(k). Find the third derivative of -9*v**6 + 11*v**u - v**2 - v**2 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13131, -13097, -13041, -12963, -12863, -12741, -12597?\nAnswer: -12431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -16*p - 16*p - 21*p + 67*p - 40 - 16*p. Let c be g(25). Are c and -89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 55, 41, 31, 31, 47, 85?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.339 times -15776.03?\nAnswer: 5348.07417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 12*a + 58. What is q(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*x**4 + 60*x**2 - 62*x**2 - 1 + x - 45*x**4 + 47*x**3 to v*x**2 + u*x + o*x**4 + b + r*x**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1 + 1.3. Which is the second biggest value? (a) -4 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 50*f**2 - 67*f - 3. What are the prime factors of s(9)?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 6475853\nAnswer: 45330971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7575*k**2. Let v(z) = -2*z. Give v(u(h)).\nAnswer: -15150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5562 and 9682?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4*s + 68 = 0. Let z = s + 73. Let w(v) = v**2 + 5*v + 7. Let n be w(-5). What is the greatest common factor of n and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342495 and 871020.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/((-3)\/8). Suppose g = a - 1. Suppose 1039*y - 1045*y + 168 = 0. What is the remainder when y is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 15. Let o be d(-6). Solve 0 = o*p - 5 + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/5))**(7\/4)*((n**(-4\/11)\/n)\/n)**(-39) assuming n is positive.\nAnswer: n**(9909\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(-10)\/3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18982.\nAnswer: 2, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12023242134 (base 5) to base 8\nAnswer: 64755214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - (2 + (3 - 1)))*-73 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 476 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -68981016 >= -68981011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84813 and 61531?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37351 is divided by 241?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 149478 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209127130 to the nearest integer?\nAnswer: 14461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 - 600*b - 3100 = 0.\nAnswer: -5, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/2*(-11)\/(-3). Let d = 15 - m. Suppose w + 2*a - 11 = 0, 0 = -5*a - 93 + 108. Put w, 2, d in descending order.\nAnswer: w, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let c be n(-2). Suppose 0 = -3*i + 3*y + 45, -c*i - 5*y - 12 = -54. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 6*g**2 - 4*g + 5. Let o be k(5). Suppose 0*y = -4*d + y - 8, -3*d = 2*y + 17. List the prime factors of (-9)\/d*(o + -3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111020 (base 3) to base 6.\nAnswer: 232440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*k = -3368, -2*l + 1344 = 11*k - 9*k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 501 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65.9 - -24.9. Let t = h - -43. Put 4, -5, t in ascending order.\nAnswer: -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 6340517?\nAnswer: 6340514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6820, 17184, 34436, 58576, 89604, 127520?\n\"Answer: 3444*k**2 + 32*k + 3344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46718.7 hours in days?\nAnswer: 1946.6125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*k + 40*k + 0 - 2)*(2*k + 0*k - 5*k) in the form j*k**2 + t*k + a and give j.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-72)\/(-621)))\/((-18)\/(-12)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 3. Suppose -3*d + j*d + 2 = 0. Calculate the greatest common divisor of 22 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 1201*c + 348. Let r be j(8). What is r rounded to the nearest one hundred?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 2 + 2 + 2.\nAnswer: sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62247, 124484, 186719, 248952, 311183, 373412, 435639?\nAnswer: 497864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1888*y**3 - 1513?\nAnswer: -5664*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1277 + -1274. What is the smallest value in k, 1\/19, 22?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 309210 divided by 165\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 3*m - 5*m)*(-2*m**2 + 3*m**2 + m**2) - 3*m**3 - 2*m**3 + 12*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41981, 41962, 41943, 41924?\n\"Answer: -19*g + 42000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1471306505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -1, 2578, 3171 in ascending order.\nAnswer: -14, -1, 2578, 3171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -416453426?\nAnswer: 416453444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79\/9 - 9. Sort -1\/4, -4, l in decreasing order.\nAnswer: l, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c. Suppose 12 = 4*d + 3*j, 0 = d - 6*d - 5*j + 20. Let f(b) be the second derivative of d + 1\/6*b**3 + 0*b**2 - 4*b. Calculate f(a(m)).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1025565.\nAnswer: -4\/1025565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3)*(2221*w**2 - 1742*w**2 - 1184*w**2).\nAnswer: -2820*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68.11167 + -68.05166958. Let f = i - 0.06. What is f rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325670977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 33885920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 15*k + 13. Suppose -932 = -4*h - 4*l, k*h + 5*l = 2*h + 931. Calculate the remainder when h is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 15. Calculate the remainder when 203 is divided by j(26).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 6. Let k be 3\/p + (-65)\/(-10). Suppose w = k*w - 140. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 9*m + 14. Is 14 a factor of q(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 17*r**2 + 6*r - 50. Let h be y(6). What is the highest common factor of h and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25681216 and 704?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5336 and 360064?\nAnswer: 8281472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a + 124. Let t be l(11). Suppose -t*y = 5*c - y - 6073, -6061 = -5*c + y. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*w**3 - 34*w + 2*w**2 - 18*w**3 - 18*w + 0*w**2.\nAnswer: 38*w**3 + 2*w**2 - 52*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3023 * -3\nAnswer: -0.9069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 108 = -3*n, 3*t + 174 - 529 + 229 = -3*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m*m*m*m\/((m*(m\/m**17)\/m*m)\/m*m*m))*m*m*m**14*m assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*(-156)\/360)\/((-1)\/5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -448.74 - -130.74. Which is the second smallest value? (a) f (b) 4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from cmkmrss?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose -2*a - i = -b*i, -4*i + 16 = 0. Factor -2 + a + 2*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1961647.\nAnswer: 17, 23, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*x**4 - 41*x**4 - 220*x + 225*x + 2*x**3 wrt x.\nAnswer: -924*x**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3696*s**2 + 7361*s**2 - 3668*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 2\/60207, 1\/2 in decreasing order.\nAnswer: 1\/2, 2\/60207, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8284.98 rounded to the nearest ten?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 749862, 749778, 749650, 749478, 749262?\nAnswer: 749002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2214\/328*13\/(117\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0, 18, 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27970762 divided by -6.\nAnswer: -13985381\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -4 - 29. Suppose -9 = o - g. Let x be (-4)\/o - 4\/(-3). Solve s + 9 = 3*h - x*s, 2*h - 6 = 4*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -11\/7 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327827946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u - 2*u**2 + 4*u)*(28*u + 7*u + 26*u)*(5*u + 6*u - 6*u) in the form t*u**4 + x*u**2 + h + a*u + p*u**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8001668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*f + (-1 - 3 + 6)*(-f + 2 - 2) + 4*f + 3*f - 5*f)*(5*f**2 - 4*f**2 + 0*f**2) to the form o*f**2 + s*f + g*f**3 + d and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 17076*k**2 + 4*k + 3. What are the prime factors of l(-1)?\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/33, -139.654, 1\/12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5 + 511*w**3 + 3382*w**2 - 13692*w + 9800 = 0.\nAnswer: -14, 1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13*((-6)\/(-30)*15)\/3. Let p(s) be the third derivative of 0*s + 0*s**3 + 0 - n*s**2 + 0*s**4 + 1\/30*s**5. Let a(c) = -9*c. Calculate a(p(r)).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1408 and 14047.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 4. Let x(t) = -2*t + 5. Let p = 964 + -958. Determine p*h(a) + 5*x(a).\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millimeter in micrometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1244*r + 615*r + 9*r**2 + 623*r - r**3. Let c be 5 - (1 + -6 - -2). Calculate g(c).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 5\/4)\/(26\/(-416)). Let j(f) = f**2 - 22*f + 40. Let x be j(p). Suppose -5*a + 4*g + 579 = -20, -2*a + 2*g + 238 = x. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p - 6 = 0. Let f be -25 - ((1 - 1) + p). Let i be (3\/f)\/(1\/(-4)). Which is the second biggest value? (a) -2 (b) 1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(2*b**2 + b - b) + (-1 - 6 + 2)*(14*b**2 + 65*b - 65*b).\nAnswer: -74*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 3*s - 3*g + 16, -4*g = -8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, d: 1, t: 1, a: 1, v: 9, q: 1}. What is prob of picking 1 v, 1 a, and 1 c?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23029 divided by 4.\nAnswer: 23029\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*b - 28 = -11, 5*b = 4*u + 16. Solve -4*h - 4*p = -12, -3*h + 8 + u = 5*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13689 and 6?\nAnswer: 27378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 10585. Let q(n) = -18*n. Calculate f(q(z)).\nAnswer: 18*z + 10585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -x + 2 - 4, -5*v + 5*x = 10 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cc + 57?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 4. Let c be y\/(-9) + (-1)\/(-1). Find g, given that -2\/9*g + c*g**2 + 0 + 2\/9*g**3 - 2\/9*g**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.529 + -11.5289991177. Round u to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -42*d = -40*d + 11*o + 248, 182 = -2*d - 8*o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -351*x**4 + 2*x**2 - 69 wrt x.\nAnswer: -8424*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 42\/11 + 4\/22. Suppose 3*a = 5*v - 0*v + 20, -v = -2*a + b. Suppose -5*u + 71 + 94 = a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.750579 to the nearest integer.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -20, -34, 10, 2 in decreasing order.\nAnswer: 10, 2, -5, -20, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96061050 divided by -90.\nAnswer: -1067345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (5 - (-10 - 3) - 46)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j\/(j*j**22))))\/(j\/j**23))\/(j**23*(j*j\/(j\/(j*(j*j\/(j**7*j)*j*j)\/j*j*j)))\/j) assuming j is positive.\nAnswer: j**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 - 48*l**2\/5 + 151*l\/5 - 102\/5.\nAnswer: -(l - 2)*(l - 1)*(l + 51)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 7*w**2 + 2)*(-2*w + w + 4*w)*(-w + 2*w + 0*w).\nAnswer: 21*w**4 - 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 638 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of -z**4\/4 - z**3\/3 + 132*z - 3. Suppose -2*v = 8*v + 6*v. What are the prime factors of x(v)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21121101, -42242202, -63363301, -84484398, -105605493, -126726586?\n\"Answer: n**2 - 21121104*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 59*c - 28 = -63*c, c = -4*b + 29. Let x(j) = 12 - j + j**2 - 3 + 6*j. What are the prime factors of x(b)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8011 rounded to one dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 6*i + 9. Suppose -3*f - n + 10 = 0, n + 4*n = -5*f. Calculate the remainder when x(-6) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -7 - (-38 + 32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 60 = -80, y - 4 = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.05, 3, 2\/13.\nAnswer: -7.05, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 851490350 to the nearest integer?\nAnswer: 29180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 = 5*y, 3*f + y + 12 = 5*y. Suppose -4*g - 5*t + 73 - 298 = f, 3*g - 3*t = -135. What is g rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1 - (-11 - -11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**2 - 7*g - 7. Let h(z) = 3*z**2 + 2*z + 2. Let p(f) = 21*h(f) + 6*i(f). Let j(m) = m**2 + m**2 - 6*m**2. Give j(p(s)).\nAnswer: -324*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/12 - (2 + 2\/6). Let w be 6\/(8\/(-60)*p). Solve 0 = 3*r - 8*r - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 891*w**2 + 37*w - 1.\nAnswer: 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/60 + t**4\/12 + 3*t**3\/2 + 4*t**2. Let s be l(0). Solve 4*c - 3 = s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 1\/90*v**5 - 1\/12*v**4 + 0 + 0*v**3 + 2*v - 7\/2*v**2. Let f(o) be the first derivative of l(o). Find x, given that f(x) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 879 = 885. Let m = 350 + z. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11443799 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 360 + -358. Suppose -4*l = 5*z - 25, -4*l + y*z + 3*z + 15 = 0. Solve -2*a + 20 = l*s, -a = 4*a + s - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.023?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -0*b + 574. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164345, 657456, 1479329, 2629964?\nAnswer: 4109361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/5 (c) -1 (d) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -8947.4?\nAnswer: -2684.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 3, e: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 2\/7 (b) 0.02 (c) 3 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3947971 bigger than -3947968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9386001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3785 + -7085. What is s rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 + 4157 - 15*s**2 - 2085 - 7*s**2 - 2101 + 35*s**2.\nAnswer: -2*s**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8083 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 137 = 53. Suppose k - a = -i, -2*i + 0*i + 35 = 5*k. Calculate the remainder when (0 + 329)*10\/35 is divided by i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 0*d + 0*d + d. Let h = 39 + -51. Let b(i) = 14*i. Calculate h*f(a) - b(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 24 - 19 - (1 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23568, 47139, 70710, 94281?\nAnswer: 117852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -175 (base 16) to base 9\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -38*(-1)\/(-2)*3. Let k = -105 - l. Find the common denominator of 56\/k + (-1 - 0) and -39\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12877*v - 5*i - 30 = -12872*v, 4*v + v - 45 = 10*i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**7\/4536 + v**6\/6480 - 3*v**4\/8 - 3*v**2. Let m(s) be the second derivative of g(s). Factor m(l).\nAnswer: -l*(5*l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - d**2 + 7*d + 2. Let t = -1 + -4. Is f(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 178. Suppose 10*i - 367 = x. What is the remainder when i is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2456711032, -2456711034, -2456711036, -2456711038?\nAnswer: -2456711040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 79*h**3 + 5.\nAnswer: -79*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30919?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90357?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3 - 3)*(-110*v**4 + 33*v**4 - 21*v**4)*(-1 - 1 + 1).\nAnswer: -98*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.014 + 0.214. Which is the closest to j? (a) -3 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 4:12 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15371 - 4?\nAnswer: -15375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6. Let i = f - 5. Let d(v) be the first derivative of v**4\/4 + 5*v**3\/3 + 5*v**2\/2 + 5*v - 3. What is d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.046 + -0.254. Sort 0.4, 185, r in descending order.\nAnswer: 185, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 60\/15) + 2\/(6\/243). Solve -i*l = -70*l - 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -16 + 74 - 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-66) - (-39)\/104 - -5*(-2)\/(-80).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, -17, -5, 9?\n\"Answer: k**2 + 7*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 47 - (5 + 0 - (31 - 27) - 2).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (1570\/(-308))\/5. Let j(u) = -u**3 + 73*u**2 + 227*u + 75. Let k be j(76). Is f greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j = -5. Let a(u) = -9*u + 5. Let b(t) = -9*t + 4. Let c(g) = -5*a(g) + 6*b(g). Is 8 a factor of c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -13. Solve -50 = -x - z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210)*-2 - sqrt(210))\/sqrt(7))\/sqrt(6))**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -2*m - 3300. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - 31890743*t + 31890739*t + 133.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 + -206 + 4 + -4 + 1 + 38?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*a + 51 = -954*a + 477*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000523277786 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 3084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - b + 3)*(-5*b + 5*b + 2*b**2) + 3*b**3 + 0*b**3 + b**3 - 4*b**3 - 3*b**3 - 18*b**3.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 219*p**3 - 18*p - 16. Let n be x(-8). What is n rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5933787634 to the nearest integer?\nAnswer: 77031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5229, 8, -1 in ascending order.\nAnswer: -1, 8, 5229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.5 - 30.38. Let g = 6.0238 - h. Round g to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 14 - 6\/(-1). Suppose -y*d + 25*d = -7. Which is smaller: -13\/19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 457.85 + -458. Which is the biggest value? (a) 0.4 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.051 in 6.82, -1297, 1\/6, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1624238 + 632996949.\nAnswer: 634621187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32514540 and 388620.\nAnswer: 97543620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 6. Let k(s) be the first derivative of -s**2\/2 - s - 2. Suppose u + 0 = 1. Let w(q) = u*m(q) + 6*k(q). Let j(n) = n**2. Determine j(w(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 691 - 685. Let q(r) = r**3 - 7*r**2 - 2*r + 6. Calculate q(g).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 11*q**2 - 15*q + 37. Calculate f(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5086157 and 116034?\nAnswer: 30516942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1021*q - 6126. Let d be a(6). Solve -11*i + 14*i - 3*m = 15, 3*i - 4*m - 17 = d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -69. Let l be 27\/6 - (-1)\/(-2). Suppose -o = p + l, 2*o - a*p = -o + 28. Solve -o = -n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -284498 (b) 8 (c) 15.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14282981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 - t - 6. What is k(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 68*o. Let a(z) = -45*z. Let h(p) = -8*a(p) - 5*l(p). Let k(u) = 4*u**2 - 30*u**2 + 19*u**2 + 6*u**2. What is h(k(d))?\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 + i + 30*i**2 - 27*i**2 + 8*i**3)*(-1 + 3*i - 4*i + 5*i).\nAnswer: 32*i**4 - 20*i**3 + 7*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1649, 1086, -441, -3412, -8307?\n\"Answer: -80*w**3 - 2*w**2 + 3*w + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from fhfffzpffmfhpf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 42.986. Let l = -0.474 - i. What is l rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/((-2700)\/(-27))*195\/(-4)\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10716448 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 7.82. Let p = r - -8.82. Let w = -8.8 + p. What is the third biggest value in 2, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1630 - 1658. Suppose -4*f - 46 = 126. Let o = b - f. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-940)\/3290*1\/(-2)*427?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 208, 4, -4, 5, -12, 3.\nAnswer: -12, -4, 3, 4, 5, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + j - 7 = -4, -5*m - 5*j = 0. Does 16 divide -63*(-3)\/(10 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w + 12*w - 50 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrryryyv. Give prob of sequence vy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6815 + 4?\nAnswer: 6819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 1384815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43480 rounded to the nearest 1000?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + t. Let y(q) = -6*q**4 + 5*q**3 - 4*q**2 - 5*q. Let u(f) = 5*v(f) + y(f). Find the third derivative of u(w) wrt w.\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2635)\/(-1870))\/(-1 - (-16)\/18). Let x = 511\/88 + j. Which is greater: x or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 138, 141, 140, 135, 126, 113, 96?\n\"Answer: -2*k**2 + 9*k + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((4*(-1)\/(-2))\/6). Let r be ((-16)\/w)\/(((-4)\/(-4))\/(-76875)). Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m + 2414 = 7514 for m.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -538778\nAnswer: -7\/538778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p - 4. Let x = -325 + 241. Let c = 141 + x. What is the remainder when c is divided by h(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 47*a + 305. Determine v(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1882?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*1447434\nAnswer: -43423.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -0.3. Let f = i - -0.96. Let k be ((-2)\/(-8))\/(204\/6324) + -8. What is the closest to -2\/11 in 3, k, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606384 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times 0.01?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1664 = 7*v - 17050. What are the prime factors of v?\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 i when four letters picked without replacement from jipiopoibi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5095*f**2. Let g(u) = -33*u**2. What is g(i(q))?\nAnswer: -856647825*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 9*z - 4. Let d be t(6). Suppose -2 + d = 3*m. Suppose -1066 = -m*j + s + s, j - 256 = -3*s. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 957 - 65371?\nAnswer: -64414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 274*o - 14367. Determine w(319).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(22\/(-4) - -4). Solve 5*q = k*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 21 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 17193?\nAnswer: 17192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7 - (2 - 23)) + 16 - 10) + -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 24*f + 2. Let r(o) = 48*o + 3. Calculate -5*k(n) + 3*r(n).\nAnswer: 24*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3 - 1812*w**2 - 410418*w = 0. Calculate w.\nAnswer: -453, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/12)*a)**(4\/11)\/(a*a*a\/(a*a**6\/a)*a*a*a*a*a*a**(-17)) assuming a is positive.\nAnswer: a**(508\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 13 - -12) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755240.4km to micrometers.\nAnswer: 755240400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**4 + 192*i**3 - 4092*i**2 + 29040*i = 0?\nAnswer: 0, 20, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/91)\/w*w)\/w)\/(w**(-2)*w*w) assuming w is positive.\nAnswer: w**(-89\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 7*y**2 + 3*y - 4. Let u be m(7). Suppose -u*s - 216 = -21*s. Calculate the greatest common divisor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182247 + 0\nAnswer: -182247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1043, 2536, 5013, 8966, 14887?\nAnswer: 23268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -57*f + 67. What is w(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 125?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18488, 18398, 18240, 18008, 17696, 17298, 16808?\nAnswer: 16220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/2 - 12*w**4 + 51\/2*w - 99\/2*w**2 + 81\/2*w**3.\nAnswer: -3*(w - 1)**3*(8*w - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmnnmnhonhmhhh. What is prob of sequence ohmm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-1)\/(-4)). Suppose 0*m = 2*m - 36. Suppose 0*o = -o + b - a, 3*o + 3*b - m = 0. Solve 0 = -o*g - 2*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -20. Let g(t) = -2*t**2 - 11*t + 8. Let z be g(f). Factor 58 + 3*y**3 + 6*y - 58 - 2*y**2 - 7*y**z.\nAnswer: 3*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**2 + 2*x + 1\/5*x**6 + 0 - 1\/4*x**4 + 0*x**5 + 0*x**3. What is the third derivative of w(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 0*n - 4*n - n - 24*n - 7*n + 12*n + 16 - 16 - n - 3*n + 3*n + (-4*n + 5*n + 0*n)*(2 - 2 - 2) + 0*n + n + n to z + g*n and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**2\/9 - 122745362*y\/9 + 3766605973127761\/9 = 0. Calculate y.\nAnswer: 61372681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 263 (c) -0.3 (d) -1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(63).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 1:09 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -165*a**5 + 18321*a**4 - 679476*a**3 + 9449484*a**2 - 32682720*a + 1176000 = 0.\nAnswer: 2\/55, 5, 28, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 65*o**2 - 896*o + 33. What is r(-45)?\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 11926271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23d - 3?\nAnswer: 23a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14254 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.8 + 24. Let v = -45 - -40. Which is the nearest to j? (a) v (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 19970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, m: 4, f: 1}. What is prob of sequence uumm?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13283997 and -39.\nAnswer: -518075883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 5*w. Let m be v(4). Suppose 0 = 2*p - p - 5, 2*p = m*l - 1338. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10575*r - 264*r - 147905 + 1249778 = 83007 for r.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1685509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 311 + -113. Suppose -a + 0 = -18. What is the greatest common divisor of r and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20779 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1266, 1\/168, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = x + 2*q - 519, -4*q - 2344 = -2*x. Suppose 0 = -a - a + x. Suppose 0 = -3*c - 4*k + a, 0 = -6*c + 2*c - 4*k + 780. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {y: 1, l: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, -2\/51, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1 - 6 + 9 - 5*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74831911697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**4\/7 - 40*f**3\/21 + 2*f**2\/7 + 40*f\/7 + 197. Solve z(c) = 0 for c.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 3. Suppose 2*w - 2 = -0. Does 4 divide (2 - -8)\/c*w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472\/(-448) + 6\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2. Let l(q) be the third derivative of -q**5\/4 - 5*q**4\/24 - 83*q**2. Let k(o) = -46*o**2 - 16*o. Let n(r) = -5*k(r) + 16*l(r). What is f(n(w))?\nAnswer: 300*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -5, -3, -589, 4, 18 in increasing order.\nAnswer: -589, -37, -5, -3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 309*j - 35*j + 4384 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 21*r**2 + 65*r - 56. What is m(18)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2156*j**4 + 2553*j**2 + 9*j. Let k(y) = 539*y**4 + 638*y**2 + 2*y. Let o(m) = 9*k(m) - 2*w(m). Find the third derivative of o(t) wrt t.\nAnswer: 12936*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 811 = c + 822, -3*x + 2*c = -48 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485, 450, 411, 368, 321, 270, 215?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -62, 3733 in descending order.\nAnswer: 3733, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(832) + -1 - sqrt(832))**2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(24\/15) + 8. Suppose z*v - 45 = -18. Solve 0 = -5*h + v*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-7)\/k)\/k)\/(k\/(k**(-2)*k*k)))\/((k\/(k\/k**1)*k)\/(k\/(k*k**(-7)))) assuming k is positive.\nAnswer: k**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/25170 and -41\/6.\nAnswer: 25170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 483 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a factor of 67010669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 8*d**2 + 9*d + 7. Let q(n) = n**3 + 7*n**2 - 10*n - 6. Let x(h) = 5*q(h) + 4*w(h). Let g be x(3). Solve -5*v - g + 35 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from klxvkkxpvbv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 + 2308*j - 2308*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3339 and 49449?\nAnswer: 1038429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 10 + 1 + (-6 - (-4 + 3))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**4\/7 + 30*f**3\/7 + 96*f**2\/7 + 14*f + 33\/7 = 0?\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-3))\/(x*x*(x*x**(-3))\/x)*(x**0)**(-2\/67))**(-2\/33) assuming x is positive.\nAnswer: x**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 29*j**2 + 3*j - 70. Let u(q) = 60*q**2 + 7*q - 140. Let i(b) = 2*u(b) - 5*x(b). Differentiate i(a) with respect to a.\nAnswer: -50*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-1056))\/((-10640)\/308 + 34)?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9765 and 3360?\nAnswer: 312480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2052, -3365, -4678, -5991, -7304?\n\"Answer: -1313*b - 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20426, -20516, -20656, -20870, -21182?\nAnswer: -21616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*d**2 - 554*d**2 + 276*d**2.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 3. What is m(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 4089620176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 6*b**2 - 3*b + 2. Let z be i(-5). Suppose 2*f = -2*f - 12. Let l be (-18)\/2*2\/f. What is the greatest common factor of z and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3546311404 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*h - 5 - 5, 4*u = -3*h - 4. Let d = 0 - -4. Solve d*b + u*q - 16 = q, 3*q + 4 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -42. Let w = 37.9795 - q. Let r = -23 + w. Round r to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.26 and 113.\nAnswer: -29.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -0*m - m. Let o = -5 + m. Differentiate -7*p + 7*p + p**o - 2 wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7302*o - 839 - 7296*o + 14605*o.\nAnswer: 7*o - 839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from avoajjvse. What is prob of sequence svoe?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 40 = 0. Let n(m) = 6*m - 7. Let c(i) = 17*i - 20. Let r(x) = h*n(x) - 3*c(x). Determine r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090172096 a multiple of 8128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 3*d - 8, -3*w + d = w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6275.94 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -2*a**6\/5 + 197*a**5\/60 + 65*a**2. Find the third derivative of h(l) wrt l.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**4 + 24*c + 5. Let t = -12 - -17. Let k(m) = -5*m**4 - 25*m - 6. Let z(f) = t*k(f) + 6*o(f). What is the second derivative of z(a) wrt a?\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 + 86*r - 13. Let c be l(7). What is the closest to -1\/5 in 3, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-112)\/(-12 - -5) - 3) + -4. Solve j = 5*n - n - x, -2*j - n + 9 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - u + 74 = 88, -4*k = -5*u + 50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -523*y**3 + 8*y**2 - 44*y - 15. Let j be g(15). What is j rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.111721 + 4.0921. What is j rounded to four decimal places?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 6, n: 1, f: 6, b: 6}. Give prob of sequence cf.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/15)\/(4\/48).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -845 - -377. Let n = j - -474. Solve n*t = 16 + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 9:00 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 (base 6) in base 9?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -52*a + 1107. What is the remainder when 256 is divided by b(20)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 9:11 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (28 + (-34 - -15))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*k + 6, 12*k + 17*k + 74 = -4*w. Let y(n) = -n**2 - 4*n. Let c be y(-3). Suppose s - 3 = -s + c*a, 5*a - 5 = 0. Is k >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 166\/221415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10612\/(-44) + 2\/11)*-1. Suppose -l = -4*q + 375. Let g = q + -66. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 336, 427, 466, 453, 388, 271?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 889.13 nanoseconds in seconds?\nAnswer: 0.00000088913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-85)\/80*-4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13*u**2 + 3*u + 5. Suppose c = 4*t - 17, -18*c + 23*c + 10 = -5*t. Let f(a) = -27*a**2 - 5*a - 9. Give c*r(m) - 3*f(m).\nAnswer: 16*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*l + 8*l + 15 + 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -513578.65 rounded to the nearest ten thousand?\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1423261 litres to millilitres.\nAnswer: 142.3261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)\/(sqrt(12)\/(sqrt(2)*1)) + -3 - (-5 + ((sqrt(102) + sqrt(102)*2 - sqrt(102))*4 - sqrt(102))\/(sqrt(24)*-5)))**2.\nAnswer: 54*sqrt(17)\/5 + 12793\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + -0.81. Let l = d + 0.6000018. Round l to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2*i + i)*(i**2 + 0*i + 0*i) - 39*i**3 - i + i.\nAnswer: -41*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.6 + 1.69. What is the closest to -0.1 in -2\/3, -0.06, x?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-64757)\/(-87))\/29*(-6)\/4)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 47*d - 813. Determine n(17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 9272 + 6688 = 0. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -3.5, -17, 2\/15?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 1869.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 1. Let a = 22 + o. Calculate the highest common divisor of 65 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m + 83. Let d(p) = 10*p - 41. Let z(h) = -9*d(h) - 4*g(h). Let n be z(19). Let b = n + 386. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1526 and 153363?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*k + 8 = -509*k. Which is the second biggest value? (a) 3\/8 (b) 3\/23 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 827*(-3 + -3)*1\/(-2). Let z(s) = -s - 2481 + u. Let w(x) = 2*x - 14. Calculate z(w(a)).\nAnswer: -2*a + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 14*k**2 - 11*k + 54. Let f be v(-15). Let b be (21\/f - -2)\/(9\/(-12)). Solve -2*z - 5*m + 12 = -9, b*z = 5*m - 29 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -322. Let z(c) = c**3 + 5*c**2 + 6*c + 1. Give z(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**5 + 0*r**5 - 2*r**5 + (2*r - 6*r + 2*r)*(-2*r**4 + 4*r**4 + 4*r**4) + (18*r**2 + 2 - 3 - 14*r**2)*(-r**3 + 4*r**3 - 5*r**3).\nAnswer: -16*r**5 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 81 = w, -339 = -w + v - 263. Calculate the remainder when 253 is divided by w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25\/28 (b) -169 (c) 0.5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -565.231 - -565. Let c = v - 36.769. What is the second biggest value in -4\/3, 0.4, c?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7759205*d**4 - 94114*d**2 + 10*d - 2 wrt d?\nAnswer: -186220920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97294427 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -49791*12.7\nAnswer: -632345.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let f(w) = 11*w - 3*w - 4*w + 14*w. Give f(g(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62656?\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6874 by -7.\nAnswer: -982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/5? (a) -5 (b) 0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 5*l. Let u be h(5). Suppose -5*t - s = -15, u = -5*t - 4*s + 23 + 7. Suppose -q - 30 = -t*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*sqrt(425)*1 + (((sqrt(255) - (sqrt(255) - 1*sqrt(255))) + sqrt(255))\/sqrt(5))\/(sqrt(432)*2 - sqrt(3)).\nAnswer: 1152*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -24 + 43 - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011110 + 100100111011101110?\nAnswer: 100100110111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 + 1. Let m be b(-1). Let x(w) = 2*w + 1. Let h be x(2). What is the units digit of (-1*(0 + h))\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 19 = -7. Let f(a) = 65*a**3 - 6*a**2 + a + 2. What is the hundreds digit of f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, -2\/379, -4\/11, 4, -7\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c - 4*l = -14*c + 6, -c + 4*l + 5 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1958 - 3.0884605755\nAnswer: -1961.0884605755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o - 3*o - 2*o - 22*o - 154*o - 292*o + 0 + 0 + 2*o + (o - 3*o - 3*o)*(-4 + 2 + 3).\nAnswer: -472*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(0 - (-2)\/4). Let r be (-3)\/q + 2 + -5. Which is the biggest value? (a) r (b) 0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:55 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -127 + 127. Is 112\/747 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-7) + 192\/28. Suppose -i*d = 2*d - 45. Suppose 7 = s + 2, 2*s = d*q - 35. Solve f + 17 = 3*r + 2, f - q = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 11 - 3. Suppose -t*j = -j - 39. What is the remainder when j is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -995 + 1008. Let t(h) = h**3 - 13*h**2 - 2*h + 32. Calculate t(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.074 in 370\/7, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 t, and 1 s when three letters picked without replacement from {s: 1, o: 1, n: 1, t: 5, x: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -13\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*4 - (-4 - -5). Suppose -c + 38 = 2*l, 16 = f*c + c. Suppose 10*t - 23 = l. Solve t = x + x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122935352.7 rounded to the nearest ten thousand?\nAnswer: 122940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 1. Let t(d) = -13*d**2 + d + 1. Calculate -p(w) - t(w).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 321950 and 1298075?\nAnswer: 3425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*m + 19, 0 = 2*a + a + 3*m - 27. Let z(d) = 3 + 5*d - 4*d**2 - 10*d + 5*d**2. Let h be z(a). Let s(k) = -2*k**3 + k. Determine s(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/59? (a) 19 (b) -141\/8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -397*a + 403*a - 390 = 0. What is the greatest common factor of a and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g. Suppose -4*o = -g - 8. Sort 4, o, -4 in decreasing order.\nAnswer: 4, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -299, -297, -295, -293, -291, -289?\n\"Answer: 2*w - 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a hour in minutes?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from jaaaajjjjmmaaa.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 70 = -98. Calculate the remainder when 59 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6aa + -323b?\nAnswer: -2971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 234192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/8*456\/(-285)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -29*p. Let v(c) = -c**2 + 6*c + 6. Let b(t) = -3*t**2 + 17*t + 17. Let f(w) = -6*b(w) + 17*v(w). Give l(f(u)).\nAnswer: -29*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 597730 = -17*p + 35*p. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i, -6*j = -2*j + i + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -6\/16364087 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.82 + -8. Let s = r + -1.72. Let b = s + 2. What is the nearest to 0.2 in 3\/2, 0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39685528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 42. Suppose -3*b = 2*b - k. Suppose 2*r - 6*r = 2*n - 20, -32 = -5*n - 4*r. What is the smallest common multiple of b and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2739, -2736, -2733?\nAnswer: -2730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1011455 by 5.\nAnswer: -202291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/14)\/((-64)\/(-56))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w + 76 = -9*w. Solve -3*m - 4 = 5*c - 7, c = -2*m + w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -4*i**2. Let v(u) = -96*u. Calculate l(v(z)).\nAnswer: -36864*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00632876 rounded to 4 decimal places?\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + 29 + -24 + (-21 - -7 - -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(((j**(2\/7)\/j*j)\/j)\/j))**(1\/2)*(j**(2\/7))**(1\/6) assuming j is positive.\nAnswer: j**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -50777987.\nAnswer: 12\/50777987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 16 + 29. Suppose c + 0 = 3*j. Let n = j + 8. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -r - 7 - 8, 35 = r + 5*z. Solve -3*m = -x + 2*x - r, -10 = 5*x - 5*m for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 357, 866, 1575, 2478, 3569?\nAnswer: 4842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*i**4 + 33*i**3 - 1089*i wrt i?\nAnswer: -300*i**2 + 198*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -667 - -191. Let k = 2634 - 1481. Let h = c + k. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from jmzjiijijzmemm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n. Let v be g(0). Suppose v*d = 3*d - 114. Let q = -4699 - -4775. Calculate the greatest common divisor of q and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853740 a multiple of 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -336.4 - -336. Which is the third biggest value? (a) 1 (b) 10 (c) y (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 + -894 + -19 + 1 + 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Let y(c) = -1218*c + 0 + u - 731*c. Let o be y(-4). Round o to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 1456 = -7*h + z, -77 = -11*z. What is the least common multiple of 828 and h?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/55 - 318\/715. Which is the second smallest value? (a) y (b) 6\/325 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112251 (base 6) to base 14\nAnswer: -3703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12916 + 12916.0052942. Round z to 4 dps.\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6378 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4 + (-2*(sqrt(9072) + 1 + 3))**2 + -1)*-4.\nAnswer: -145383 - 4608*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-24)\/56 - 3498\/70)*-5 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0*b = -3*y - 138, -630 = -5*b - 5*y. Let d = b - 1679\/13. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.044424 to 3 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -7706 greater than or equal to -2\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74269 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5)*(-4 + -4 - 7). Suppose -5*a + o*a = 3*x + 15, 2*x + 10 = -a. Suppose 4*m + 188 = 3*v, -m - v - 40 = -a*v. What is m rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/1130 (b) -0.2 (c) -4 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2\/2 - 93*b\/2 + 1015 = 0 for b.\nAnswer: 35, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + (-90)\/12)*8\/(-10). What is the third smallest value in a, 0, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7379 in -2\/11, -2\/5, 2\/3, 1\/4, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8870253 - 0.3.\nAnswer: -8870253.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lopdpllppl. Give prob of picking 1 d and 2 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109417051?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9445 * 0.2.\nAnswer: -1889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 26, -2.6 in descending order.\nAnswer: 26, 17, 3, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/32)\/((-2)\/8). Let z(o) = 1296316*o - 3*o**2 - 1296315*o - 2 + 6. Determine z(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6341 divided by -18.\nAnswer: -6341\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 38*t + 157. Let o be s(-4). Suppose k + 0 = 5*d - 22, -o = 5*k - 4*d. Let b(g) = g**2 - g + 4. Give b(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-228*(-17)\/(-204))\/(1\/1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 1522125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -31*v**2 - 2062184*v - 133044 = 0.\nAnswer: -66522, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 100, -32.03, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -2. Let y be 48\/27 + (-2)\/(-9). What is the first derivative of f**2 + 2 - f**w - f**y wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 31. Suppose i - s = -0*i. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/192 and 131\/18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by -5?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -19013.7 and 1.\nAnswer: -19012.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 3\/2*b**2 + 0 + 223\/42*b**7 + 0*b**4 + 0*b**5 - 7\/3*b**3 + 138*b + 0*b**6. Find the second derivative of p(m) wrt m.\nAnswer: 4460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - (sqrt(156) + -2*sqrt(156)))*-5)\/sqrt(12))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.5 + 2.5. Let o = -9.881778424 - 0.118220176. Let j = c - o. What is j rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -598577 by -85511.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 9, -400, -23?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**2\/2 - 2*u + 2. Let h be z(5). Suppose -3 = h*x - 4*x. Put x, -1, 0 in decreasing order.\nAnswer: x, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13774998.\nAnswer: 2, 3, 17, 135049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/25*(-1)\/2. Let v = d - -62\/75. Factor 4\/9*g + 0 + v*g**2.\nAnswer: 2*g*(3*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 + -1.6. Put -3, 2\/3, l in decreasing order.\nAnswer: 2\/3, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u - 30. Let b be ((4\/6)\/(-1))\/(24\/(-540)). What is the tens digit of m(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*(-5 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 8*v**2 + 7. Let p be r(-8). What is the highest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 1396*c + 5570. Give t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -2.4 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -43.57 - -4161.225052\nAnswer: 4117.655052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/30)\/((-1)\/(-5)). Let n be 3 - (-20)\/(-12) - -1. What is the third biggest value in n, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22377938.\nAnswer: 2, 11, 1017179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3*o**3 + 1)*(23*o + 4*o - 9*o) + 0*o**4 - o**4 + 2*o**4)*(4 + 1 - 6)*(3 + 3 - 4).\nAnswer: 106*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from iybhibii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8696 is divided by 166.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -6*t**3 - 3*t**2 - 5*t. Let l(j) be the third derivative of 1\/6*j**4 + 1\/24*j**6 + 3*j + 0 + 0*j**3 + 1\/20*j**5 - 73*j**2. Give -7*l(h) - 6*x(h).\nAnswer: h**3 - 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -10. Let d be (3 - -1)\/(h\/(-3)). Solve w + d*w - 10 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - 2*sqrt(68)) + -2 + sqrt(68) + -5 + 3 + sqrt(68) + -3)**2.\nAnswer: -28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*l - 5*j - 67, -l = 3*j + 34. Is l bigger than -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 s when two letters picked without replacement from titsnninikn.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/368788 and 33\/16.\nAnswer: 1475152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**1*p*p)**(-31)\/((p*p**(-5))\/p*p\/(p\/(p\/p**(-3))*p*p)))\/((p**(-3)*p**(1\/4))\/(p*p**1\/p)**22) assuming p is positive.\nAnswer: p**(-385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/555 + 308\/185. Put 5, 3, o in decreasing order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 3:08 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(3\/5))*b**(-1)\/b*b*b)\/(b\/b**(-1))**(-1\/5) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1945696451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 704 + -701. Solve 6 = 2*u + 2*v, 21 = -s*u + 3*v - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 5. Suppose 4*y - 14 = 4*b + d, 0 = 2*b + 4. Suppose -5*m - 5*w = -10*w + 5, 3*m + y*w = -33. Are m and -6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -533, -3293, -6053, -8813, -11573?\n\"Answer: -2760*k + 2227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 - -110?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 388338 and 1294460?\nAnswer: 3883380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1096\/(-1918))\/(8\/(-42)*(-3)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 - 1.08. Let s(j) = 21*j + 107. Let t be s(-5). Which is the closest to 1? (a) t (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/24*960\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208325 and 137475?\nAnswer: 88121475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -15*g**2 + 8*g + 6. Let v(n) = n**2 + 2*n + 1. Determine -q(r) + 6*v(r).\nAnswer: 21*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -212 + 352. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l + 4. Determine n(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3247 and 8213?\nAnswer: 139621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/469 + 3019\/469. What is the common denominator of b and -44\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103017817 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r - 8. Let w be z(-6). Let x be -12 + 15 + (-1 - 1). Put w, x, -1 in descending order.\nAnswer: x, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 30. Suppose -x - 2 = 8. Is z > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/20 (b) -72\/71 (c) 0.01 (d) 1 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2185 - 2014. Put 2, 0.3, a in increasing order.\nAnswer: 0.3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a + 48 = 0. Calculate the highest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + ((-2)\/(-4) - 7767\/(-78)). Let d = m + -98. Which is greater: 1\/4 or d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/50*-2)\/((-324)\/135)*10\/(-65)?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d + 118. Let f be h(22). Let s(q) = f - 7*q**3 - 7*q - 257*q**2 + 250*q**2 + 6*q**3. What is s(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 + -643\/6. Which is the second smallest value? (a) -42 (b) w (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + 31 + -2 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 - -1.7. What is the nearest to -6 in 2, 2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 7 (b) -5 (c) 7\/5 (d) -35 (e) 3\/632\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10240*b + 2449*b - 13639*b - 3453*b to the form f*b + h and give f.\nAnswer: -24883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 2:11 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-7) - ((-13)\/1 + 9). Let r(w) be the first derivative of l*w**2 + 10\/3*w**3 + 17\/4*w**4 + 0*w + 2. Find the third derivative of r(x) wrt x.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6868688 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 414472.8068 to the nearest one hundred.\nAnswer: 414500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmdddmirmgddr. What is prob of sequence irmm?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 + 105. Suppose -508 = -8*l + 4*l. Suppose 0 = -4*p - 39 + l. What is the remainder when v is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s**2 + 58*s - 168. Let v be u(6). Solve v = 86*p - 83*p + 2*o + 15, 0 = 3*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1260 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*300 - -1*2. Let i(d) = -d**2 - 13*d + 33. Let w be i(-20). Let y = w - n. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + s = 22, 14 = -2*u + 5*s - 3*s for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3054 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -51. List the prime factors of (-10)\/x*6*-141.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 220348, 220105, 219862, 219619, 219376, 219133?\n\"Answer: -243*q + 220591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12103 + 21f5?\nAnswer: -ff0e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296 = -6*s + 5*g + 940, 12*s - 14*s = -4*s - 2*g + 200 for s.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0787 * 389\nAnswer: 30.6143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92.18 - 94.18. What is the nearest to 7 in i, 3, 3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14636*t - 614*t - 1273794 = -1699*t for t.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 + 5*y**2 + 18*y + 9. What is v(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 86703 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 122*v - 4 = 127*v, 0 = -u + 2*v + 7. Solve -4*q = 2*g - 2, 5 = -u*q + 6*g - g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 18082a8?\nAnswer: -18082aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.74705 and -2.\nAnswer: -39.4941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16*((-459)\/(-272))\/(-9). Let u(v) be the third derivative of 10*v**2 + 5\/2*v**m + 0 + 0*v - 1\/8*v**4. What is the derivative of u(r) wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15962 and 3957535.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4 + 335*l**3 - 2651*l**2.\nAnswer: -24*l + 2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - o + 3. Let x be u(0). Let i = -172 + 172.91. Let n = i - -0.09. Which is the closest to -2? (a) n (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m**(1\/2)*m))*m)\/((m**(3\/2)\/m)\/m*m))**(-2\/39))**22 assuming m is positive.\nAnswer: m**(-88\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2. Let d(y) = 6889*y**2 + 728*y + 1. Calculate d(a(l)).\nAnswer: 27556*l**4 + 1456*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -82*l**2 - 2410*l + 7. List the prime factors of w(-9).\nAnswer: 5, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -513*w**2 + 208*w - 208*w as t + x*w + y*w**2 and give y.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1676 = -2*w - 2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5494\/335 + (-6)\/(-10). Suppose -3*q + w*q - 742 = 0. What is the remainder when q is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125.42 - 128. Let p = 0.53 + g. Let l = p - -0.05. Is l at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 5136 in ascending order.\nAnswer: -4, 0, 5136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -100, -183, -266, -349?\n\"Answer: -83*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 5*z**2 - 5*z + 2. Suppose -2*h = -3*h + 5. Suppose -10 = h*i, -3*f - 2*f + 25 = -5*i. Give k(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -3007\/2957 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*q + q + 4*q)*(-3*q - 2*q + 3*q)*(-3 - 5 + 5) as b*q**2 + w*q + l and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*q = n - 2, 9 = -3*q. Let j = -209 + -63. Let d = j + 272. Which is the third biggest value? (a) -2 (b) d (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -0.4888538175183.\nAnswer: -0.5111461824817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13 from -5.5.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*v - 19*v + 678. Calculate the remainder when v is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.2 - 0.2. Let f = -3.9 + k. Sort 3, f, 0 in descending order.\nAnswer: 3, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2982 divided by 6\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(1\/(-12)). Suppose 63 = y*h - 3*h. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156)\/(sqrt(12) + (sqrt(36)\/sqrt(3) - sqrt(12))) - (sqrt(39)\/sqrt(3) + 1)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b*b**1)\/((b\/(b*b**(2\/13)*b))\/b**(1\/3)) assuming b is positive.\nAnswer: b**(58\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.8, 69\/7, 1.84522, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18, 21, 24, 27, 30?\n\"Answer: 3*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-2))\/(-9*(1615\/(-306))\/(-95)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5667 and 5064?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*d - d + q, 2*d - 2*q = -4. Suppose 0 = -4*s + 5*s + 3*p - 14, 0 = -3*p + 9. Put d, -5, s in increasing order.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(i**2 + 3*i - 3*i) - 4*i**2 + 6*i**2 + 3*i**2 + 0*i**2 - i**2 - i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 14. Let h(t) = -t - 5. Let a be h(-8). Suppose -2*p = 0, 2*p + 36 = a*u + 4*p. Calculate the smallest common multiple of u and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*x + x. Let p = -7 - -1. Let i = p - x. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*(-1 + -1))\/2. Let k = 3 + -4. Is o less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*t**2 - 16*t**2 + t - 184*t**3 - 10 + 11 + 28*t**2 to h + x*t**3 + y*t + c*t**2 and give x.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280764 and 693.\nAnswer: 1965348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6070038314.\nAnswer: 2, 29, 104655833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, -14, 9, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 + 2*z + 4. Suppose -9 = -2*o + h + 4*h, -1 = h. Suppose 23 - 17 = o*y. Let u(i) = -6*i**2 + 3*i + 5. Determine y*u(w) - 4*v(w).\nAnswer: 2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 28. Which is the third biggest value? (a) -0.5 (b) h (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*g + 5 = 0, 3*g - 3 = 2*m - 2. Suppose -k + m*d = 3*k + 32, 0 = -k - 5*d + 10. What is the units digit of (55\/k*(5 - 0))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/6*60\/(-42). Which is the nearest to -2? (a) x (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 102*z**3 + 0 - 17*z**2 - 4*z**2 + 94*z**3 + 3 - 2*z**4 to y*z**4 + g*z**2 + n + x*z**3 + c*z and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**2 + 4*q**2 - 7*q**2 - 3*q**2 - 4*q.\nAnswer: -19*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.2, -64.52, 13, -2\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 + 1 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(162) - (sqrt(162) + sqrt(162)*2))*4 + -1)**2*2.\nAnswer: 1728*sqrt(2) + 124428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 3:24 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -483946.0269 + 483970. Let d = r + -23.85. What is d rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.63352 + -143?\nAnswer: -136.36648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/25 in 0.4, -7, -0.5, 3\/17, -0.3?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*c - n, -3*n + 19 - 30 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-210)\/112)\/((-3)\/(-4))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = k + 4*k - 7, -3 = 3*b + 3*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226.12167s to hours.\nAnswer: 0.062811575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 4. Let j = 303 + -297. Let z = j - u. What is the nearest to 0 in -3, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 175 - 56 = -6*s + s + 109, 2*t + 8*s - 530 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -36 (b) 2 (c) 456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 20*s**2 + 8*s + 818. Give z(22).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -18049*z + 3989. Let k be a(-39). Round k to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(720)*2 + -3 - sqrt(720)).\nAnswer: -12*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.6365073ug?\nAnswer: 0.0000006365073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 71, 107?\n\"Answer: 36*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 13.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*120.66\nAnswer: -144.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*k**5 - 2*k**4 + 53*k**2 - 3*k.\nAnswer: 5220*k**2 - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3388 + -29.3388. Let v = 28.588 + 0.212. Let n = v + w. Is 3 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-72)\/(-27))\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-2\/5)*(v\/(v*v**21\/v))\/v assuming v is positive.\nAnswer: v**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 990658567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, m: 1, q: 2, h: 1, e: 1, j: 1}. What is prob of sequence kqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10*4\/1)\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/378 + 422\/18.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t + 495 - 49 - 20 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -9. Let z(f) = -f**2 - 11*f - 28. Let c be z(-5). Put -3, c, j in descending order.\nAnswer: c, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, p: 1, h: 6, x: 6, t: 1}. What is prob of sequence xtp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 4 - 5)*(-12 + 2*m + 12) - m + 0*m + 0*m)*(2*m**2 + 2*m**2 - m**2) to the form z + v*m**3 + d*m + o*m**2 and give v.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -5?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdsd when four letters picked without replacement from dsssdsddsdssssssdss?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w + 18 = -u, -u - 5*w + 22 = 0. Let g(r) be the first derivative of -r**2\/2 + 8*r - 3. Calculate the remainder when 20 is divided by g(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 10:47 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 0 - 2\/3*f**3 + 3\/2*f**2 + 2*f. Suppose -3*l = -10 + 1. Give c(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 607758, -2, 1\/2 in increasing order.\nAnswer: -2, 1\/2, 607758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18123 - 18123 - 28*r**2 - 16*r)*(-6*r**2 - 2*r**3 + 6*r**2).\nAnswer: 56*r**5 + 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**2. Let f(l) = l**2 - 1. Let k be (-3)\/(-9) - (1 + (-4)\/(-3)). Let r(c) = 5 + 0 - 3. Let t(w) = k*f(w) - r(w). Give v(t(y)).\nAnswer: -32*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncz when three letters picked without replacement from caazaazzapnzaaaaacea?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 + 9. Let r(w) = -w + 7. Let y(n) = 9*n - 49. Let k(u) = -56*r(u) - 8*y(u). Calculate t(k(f)).\nAnswer: -512*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/185927638 and -39\/16.\nAnswer: 1487421104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 65\/6491129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 86, 93, 100?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = p - 25. Let w = -81 + 173. What is the remainder when w is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*a - 4*y, 4*a - 6*y = -y + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.01 (b) -43 (c) 341 (d) 5 (e) -3 (f) 0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443120 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3940 = 8*v. Let m = v - -398. Solve 0 = t - 0*t + 4*p + 6, -m*t + 5*p = 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 4*k**2 + 4*k. Let x be h(-3). Suppose x = 5*w - 79. Let l(u) = -u**2 - 8*u + 9. What is the remainder when w is divided by l(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2\/9 + 7424*r\/9 - 3444736\/9 = 0 for r.\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1369 + -869. Differentiate -s + s + 37*s**3 + h - 457 wrt s.\nAnswer: 111*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (2*(1*sqrt(209) - sqrt(209))*6)\/(1*sqrt(539)*-1 - sqrt(539)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 575133, -20, 2\/3, 4, 0.\nAnswer: -20, 0, 2\/3, 4, 575133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-39) + 8\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 2068*t + 4152.\nAnswer: -4*(t - 2)*(t + 519)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144503 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*z**2 - 11423996*a**3*z - 20990906*a**2*z**2 wrt a.\nAnswer: 12*z**2 - 68543976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 448697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10658 - -1?\nAnswer: -10657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11, -14, -19, -26?\n\"Answer: -l**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -1. Suppose 0 = 2*l - 5*k - 79, l + b*k + k - 32 = 0. Suppose -l = -3*j + 41. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49943 - 2*a**3 + 49943 + 14*a**2.\nAnswer: -2*a**3 + 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.72 + 0.22. Let c = l + 10. Let v = -0.3 + 0.34. Sort v, c, 1\/6 in ascending order.\nAnswer: v, 1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 (base 9) in base 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336860.\nAnswer: 2, 5, 16843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1687, -31, 1, -17 in increasing order.\nAnswer: -1687, -31, -17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/7 and 56\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 + -9.38. Is 1 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**5*s + 4*n**4*s*u + 3*n**4*u - 9*n**2*s*u - 2*n*s - 4*n*u - 3*s wrt n.\nAnswer: -60*n**2*s + 96*n*s*u + 72*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2122 - -3029. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -18860.8 in descending order.\nAnswer: 5, 1, -18860.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6535255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3 = l, -3*j = -0*l - 4*l + 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 867\/6 - (-1)\/(-2). Suppose -3*n + c = 15. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 314 = 94. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - 14*c - 2. Let o be d(5). Factor -12\/7*j**2 - 2\/7*j**4 - 8\/7*j**o - 2\/7 - 8\/7*j.\nAnswer: -2*(j + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 3*p**2 + 8*p + 13. Calculate t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqroggx. What is prob of sequence rgq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.3 (c) 0.1 (d) -0.11 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 0*q - 1 + 3*q)*(2 - 6 + 2 + (3 + 7 - 4)*(-3 + 2 + 3))*(-2 - q**2 + 2) as x*q**2 + y + o*q + a*q**3 and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309 and 54693?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7))**(1\/16) assuming m is positive.\nAnswer: m**(3\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -292\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/((-112)\/1008).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/84554317 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 49 = 3*k + 12*s, -6*k + 8*s = -106 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**3 - 740*l**2 - 1463*l + 370. Calculate g(-183).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 0*s + 3*s)*(-114 - 63 + 38)*(s + s - s) as w*s + z*s**2 + d and give z.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + 33 + -7 + 1 + 8 + 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-5))\/((-2)\/335). Let i = 57212\/3 - 19070. Are i and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, -0.4, 5, -2\/507, 0.2, 3\/2, 1\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*q = -407*q + 6888 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 623180*f - 272656960.\nAnswer: 5*(f - 125072)*(f + 436)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 2 - (5 + 161\/(-21)). Which is the fourth biggest value? (a) -5 (b) l (c) -1\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 18. Let k(u) = -2*u + 5*u - v*u + 2*u. Calculate the remainder when 25 is divided by k(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.3 (c) 1\/49 (d) -0.03 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -97 + 19. Suppose 10*a = 113 + 247. Let f = a + n. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 22*s**2 + s - 26. Let z be h(22). Which is the nearest to -0.3? (a) z (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + -5 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-1 - 4)\/10.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1702 (base 16) to base 5.\nAnswer: -142030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6124176325 divided by -5.\nAnswer: 1224835265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + ((-84)\/(-15))\/2. Let o = -0.02 + 1.02. What is the biggest value in 0.4, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let i(j) be the second derivative of -j**3\/3 - j**2\/2 + 732*j. What is i(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.7 less than -1681\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12468.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) + sqrt(1300)*-1)*5 + sqrt(1300) + sqrt(1300))\/(sqrt(576) - -5*2*sqrt(576)))**2.\nAnswer: 325\/4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + -36. Let s(t) = t**3 - 6*t**2 - 9990*t - 103. Let f be s(103). Solve -6*d + 3*d - q = f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**1)**(-10\/9)*((u\/(u**(-3)*u)*u)\/u)\/(u**(2\/19)\/u) assuming u is positive.\nAnswer: u**(74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 - 9*i**2 - 3*i - 6. Let a(y) = 11*y**3 + 19*y**2 + 5*y + 12. Let t be 21*(-3)\/(-9) - -2. Let u(m) = t*l(m) + 4*a(m). Give u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = k + 3*k. Let c(a) = -7*a**2 - 79*a - 18. Calculate the lowest common multiple of c(-11) and k\/(15\/(-6) - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-41 + 74 + 32)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16, 15, 46?\n\"Answer: 31*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (44 - (-1 - 3)). Let f = t - -48. Solve -8 - 8 = -f*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87176 by 17.\nAnswer: -5128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578578061.\nAnswer: 701, 825361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368, -356, -344, -332?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54 - -110) + -87 + 30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*a + q - 0*q, -4*a - 48 = 3*q. Let v = a - -14. Solve 2*l - t = -0*t + 4, 0 = -2*l - v*t + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -41. Let u = -2908 - -2916. What is the remainder when m is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.094 + -95.094. Let w = p - -94. What is the biggest value in -0.06, -3\/2, w?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 0)*1\/(-1) - 357. Is -2 + (-33)\/(-15) + m\/(-5) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 18312260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -5. Let f(n) = -n + 5. Let l be f(5). Suppose l = -i + 37 + 12. Calculate the remainder when i is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 17*i**3 - i**2 - 4*i + 5. Let q be d(2). What is the common denominator of 53\/2 and 4\/30*q\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c - 142. Determine v(25).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846755099?\nAnswer: 431, 1964629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5\/(c**6\/c)*(c**1\/c)**(-49) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -266 - -538. Calculate the greatest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -1\/36, -5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 594019816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6636 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 6*k + 7. Let o be d(-11). Let f = -59 + o. Suppose 0 = -2*b + 3*z - 28, -7*b + 2*b - f*z - 91 = 0. Is -14 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (81\/(-21))\/(-9) + 7557\/7. Let t be a\/567 + (-6)\/(-63). Factor 0 + 2\/11*c**t - 2\/11*c.\nAnswer: 2*c*(c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -401 + 9?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 = 2*q - 3*a + 209, -3*a = 5*q - 1232. Suppose -268 = -z - 0*z - 4*i, -z + 4*i = -q. Is (6 - 2) + z\/8 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/75 + (-2)\/(-6). What is the nearest to -9\/5 in 0.3, 0.5, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275.5295ug to grams.\nAnswer: 0.0002755295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2057) + 2 + (sqrt(2057)*5)**2 + -1 + -2 + sqrt(2057))*1 + 3)*-6.\nAnswer: -308538 - 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -1675\nAnswer: 58\/1675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-3)\/(-3))\/(7\/14). Suppose 3*b + k*i - 34 = 0, 5*b - 5*i - 1 = 9. Calculate the remainder when 16 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3499*b + 23171. What is i(7)?\nAnswer: -1322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 201002000121 (base 3) in base 10?\nAnswer: 375451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -42*d**2*i**2 - 16*d**2 + 2*d*i**2 - 2*d + 3*i**2 wrt i?\nAnswer: -84*d**2*i + 4*d*i + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, -2\/15, 27, 1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/20)\/(2\/5). Let v = 84.3 - 79. Let q = -1.3 + v. What is the closest to -2 in g, q, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k + 459*k = -999*k - 250*k - 1689 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a + -73?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 6304208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2 + 11*g - 51. Let v(n) = 7*n**2 + 17*n - 76. Let c(q) = 8*p(q) - 5*v(q). Calculate the remainder when c(5) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -2\/3*y**3 + 0*y**2 + 0*y - 2. Let u(j) = -j**2. Determine c(u(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttiiiiiiiitii. What is prob of picking 4 t?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u**2. Let r(b) = 144*b. Calculate r(y(m)).\nAnswer: 576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 209, 497, 909, 1451, 2129, 2949, 3917?\nAnswer: 5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v = 15 + 77. Put -2, 3, v, 5 in descending order.\nAnswer: 5, v, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012703 to five decimal places.\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 29. Let d be c(7). Let h = 55 + d. Let s = h + 44. Calculate the greatest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.05 - 34.05. Which is the closest to -0.03? (a) -10 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-15))\/(1\/110). Suppose -2*i - 12 = -b. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 5:15 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2566236 kilometers in nanometers?\nAnswer: 256623600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655*l - 39 = -3*n - 658*l, 4*n = 2*l + 52 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)\/c*c**(1\/7)*c)\/((c\/(c*c*c*c\/c**(-15)*c*c))\/(c*c**(-17))) assuming c is positive.\nAnswer: c**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1633535*y - 24503027. Determine q(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.199 + -3.909. Which is the closest to -0.1? (a) 1\/10 (b) 2 (c) k (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((28\/(-66))\/(-14))\/((-42)\/1260)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-119)\/21)\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113068079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.2. Let m = 0.08 - -0.32. Let h = 0.7 - 0.9. Which is the closest to w? (a) m (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -0*l - 4*l + 11, -2*h - 5*l = 2. Let s = -10 + h. Put 4, s, -4 in decreasing order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0\/1)*3. Suppose -12 = 2*b + 5*i, -6*i - 32 = -5*b - t*i. What are the prime factors of 9\/2 + 2\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t - 7*t)*(t**4 - t**4 - t**4) + (-4*t**2 + t**2 + 2*t**2)*(-3*t**3 + 4*t**3 + t**3) - t**5 + 0*t**5 - t**5.\nAnswer: 5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 32\/8 + 13\/((-351)\/90). Let m = 17 + -29. Let u be (m\/30)\/((-6)\/5). What is the closest to u in 1\/8, 0.1, t?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2947410 and 127170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092 a factor of 4187489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = 5*l - 1603. Suppose 0 = 5*g - l - 20. Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/3)\/(-6*1\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 + 4*k**2 + 6*k. Let y(c) = 20*c**3 + 11*c**2 + 17*c. Suppose 0 = 11*m - 7*m - 24. Give m*y(x) - 17*f(x).\nAnswer: x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-736)\/240)\/(-23) - 52\/30\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 + -4.75. Let k = -0.09 + 0.2. Let p = k + 0.29. Which is the third biggest value? (a) p (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 20 = 5*m, -5*m + 29 = -230652*o + 230654*o for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3 + 2177\/726). Let p = y - -2765. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -14?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 50*v**2 - 7. Let q(k) = 17*k**2 - 2. Suppose 31*g - 26 = 30*g - 4*b, 0 = 3*g + 2*b - 18. Determine g*l(t) - 7*q(t).\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 507653 and 74227.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2426745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnxnnnnn. Give prob of sequence nnx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/7*6\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 184 + -185. Sort -0.3, h, -5, 1.\nAnswer: -5, h, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282*o**2 - 25061 + 25061.\nAnswer: 1282*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -170, -3, 2\/5, 10, -91?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, 3\/8, -0.023, -1\/5 in increasing order.\nAnswer: -1\/5, -0.023, 0.1, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*q - 10431 = -9585 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 14741145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 15*g**2 + g + 220. What is y(16)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8696 divided by 2174?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 88 = -0*q. Suppose -3*h = -i - 33, -4*h + 3*i + q = -0*i. Calculate the greatest common divisor of h and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-22 - 14) + 11 + -2 + 15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -16, -35, -5, 2, 4, -1.\nAnswer: -35, -16, -7, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 1 - (6 - 1) - (31 - 25)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 4*t**2 - 2*t - 5. Let g be x(-4). Suppose u + 0*u = g. Suppose u*v + 88 = 7*v. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 601 by -601.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30181072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - 4*q + 243*q**3 - 262*q**3 + q.\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 58625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348725, 348443, 348161, 347879, 347597?\nAnswer: 347315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**6\/40 + 3*d**5\/10 + 9*d**4\/8 + 29*d**2. Let c(w) = 0. What is w?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*t**2\/5 - 52*t\/5 - 16\/5.\nAnswer: -4*(t + 1)*(9*t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5454*o**3 - 1209*o**2.\nAnswer: 32724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let q be (-6)\/(-4)*n\/(-3). Which is the nearest to 0.2? (a) 1 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 7*f**2 - 2*f - 3. Let h be (-1 - -3)\/(2\/16). Suppose 5*l = -2*b + h + 15, 4*l - 11 = 3*b. Is x(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21391*z - 55. Let h be f(13). Is (h\/72)\/((-2)\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1865.67824 from -0.32.\nAnswer: 1865.35824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 700 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-42)\/6 + -37 + 17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -43*h**2 + 44. Let f(z) = 16*z. Give p(f(a)).\nAnswer: -11008*a**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-17 + -21) - 19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 63*y**3 - 42*y**2 - 2*y - 2. Let m(b) = 31*b**3 - 22*b**2 - 2*b - 1. Let d(o) = -9*m(o) + 4*z(o). What is the second derivative of d(g) wrt g?\nAnswer: -162*g + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*h + 686, -n + 69*h + 118 = 65*h. Calculate the remainder when n is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001001011011011110 (base 2) to base 7\nAnswer: -4533065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnfnfnfffff. Give prob of sequence nffn.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199227738, -398455476, -597683214, -796910952, -996138690?\nAnswer: -1195366428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2 - 2819*d - 4802.\nAnswer: -4*d - 2819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/(-608)*(-1)\/((-5)\/20).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 1661*m + 92689 = -783*m + 28833 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*y + 228*y - 75 = 0. Suppose g = -14*g - y. Put 0, 1, -10, g in ascending order.\nAnswer: -10, g, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*n - 55 = 0, n - 3*n = -4*w - 44. Let t = 13 + w. Suppose -t*d - 3*v + 104 = v, 5*d - 260 = -2*v. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11277 minus -2.2?\nAnswer: 11279.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57968308 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 2, n: 2, w: 10, z: 5, c: 1}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123523621 + -270643621. What is d rounded to the nearest 1000000?\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -12. Which is greater: -0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -21 + 14*a**2 + 19\/6*a**3 - 2*a. Does 15 divide n(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(3 + 4 - 5)*(-5863 - 2116 - 9882)*(3*x + 3*x - 4*x) as k*x + s and give k.\nAnswer: -142888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -365b5 (base 13) to base 15.\nAnswer: -1e8c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 5*b + 109, -3*r - b - 4*b + 77572 = 77689 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4522242 is divided by 94213.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:04 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgr when three letters picked without replacement from grrrrrwrrrwwrrrrr?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-175)\/4 + 57\/12 + -4. Let q = -52 - c. Let r(s) = -s - 15. What is r(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 11*y - 19. Let p(h) = -3*h**2 + 22*h + 39. Let c(v) = 2*p(v) + 5*z(v). Let j be c(-12). Let o = -13 - j. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:51 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4 - 4 = 0. Suppose -2 + 10 = h*w. Suppose -3*b - 5*y + 24 = 0, -w*y + 2*y + 3 = -b. Solve -o + 4*u = u - 12, 5*u + 6 = -b*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97303*b - 125449 wrt b?\nAnswer: -97303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 3*w + 1846, 17*z - 928 = 16*z - w. What are the prime factors of z?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*990.281.\nAnswer: 1980.562","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 442048990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3)\/(f**(-1\/7)\/f))\/(f\/(f**(2\/9)*f*f)*f)**23)**(-2\/73) assuming f is positive.\nAnswer: f**(-830\/4599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7\/(21\/(-2)) - (-3080)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -8) + 23 - 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -66 (b) -121 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.9 and -4344709.9.\nAnswer: -4344709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.7. Suppose 3 = 3*q - f, 10*f - 3 = -3*q + 7*f. Which is the second biggest value? (a) -3 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 2\/3 (b) 5 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 + a - 7. Let y(v) = -12*v**2 - 1 - 7 + 28 + 126*v - 129*v. Let p(c) = -11*t(c) - 4*y(c). Let n(s) = 9*s**2 + 3*s - 7. What is 3*n(m) - 7*p(m)?\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15007767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222*j**3 - 61*j**2 - 1608*j - 25 wrt j?\nAnswer: 1332*j - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -593*g + 22 + 17 + 20 - 59 in the form l*g + y and give l.\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 3*m**2 - 13*m - 15. Determine g(-4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**2)**(-2\/81)\/(o**7\/(o*o**3\/o)) assuming o is positive.\nAnswer: o**(-322\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58706 + 63568 = 143*h for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -98 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 6 - 38 = -2*g - 10, 0 = 51*g - 2*k - 708 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 + 0 + 5. Let f(z) = 0 - z**2 - 5 - 2*z**3 - 4*z + j. Is f(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let p(k) = 311*k. Let c(l) = 4*b(l) + p(l). Is c(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 1*18\/6. Which is the nearest to 2? (a) 0.3 (b) n (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 19 - 141. Let n = -224 - -232. What is the greatest common factor of n and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + -10 + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82\/35 + 22\/7. Let j = 55.3 + -51.69. Let z = j + 1.39. Sort -0.5, -0.1, v, z in ascending order.\nAnswer: -0.5, -0.1, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130362658771 minus 266?\nAnswer: -130362659037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -23, 5, -5, 14, 7 in ascending order.\nAnswer: -23, -5, 2, 5, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (7 - 10) - (2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 29. Let c = 12 + -23.1. Let o = p - c. Is o at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(72) + sqrt(72) + 1)*-6)**2 - (1 + sqrt(72) - sqrt(72) - sqrt(72))*1) + 2)*-3.\nAnswer: 7830*sqrt(2) + 93645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54f (base 16) to base 10.\nAnswer: -1359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 239, 0 in descending order.\nAnswer: 239, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 5*z**2 - 27*z + 261. Let b be f(8). Let p = -363 + b. Solve 0 = -h - 0*o - 2*o - 3, p*h + 3*o = -5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkkyllkknkllkklllnlk. Give prob of picking 1 k and 3 l.\nAnswer: 224\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472628 is divided by 1570?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 424670.2 minus 0.0782?\nAnswer: 424670.1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635 >= 416113\/158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 191?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/2177?\nAnswer: 1\/2177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 8*a + 12. Let p be x(-9). Suppose 2*z + p*z = 25. Suppose -3*k = -z*k + 52. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 3. Let r(w) be the first derivative of 1 + 6*w + 11\/2*w**2. Determine 6*r(j) - 13*u(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19023 and 207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7078 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -37633\nAnswer: -3\/37633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2)\/(9 - (11 - 1)). Solve r = 2*t + w + 5, -2*t - w - 7 = 2*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - -8) + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(14)\/sqrt(2) - (sqrt(847) + 0))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 7) in base 11?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from {k: 11, g: 6, j: 1, m: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*o - j, o - 15 - 6 = -4*j. Let v be (-29)\/(-4) + o\/(-4). Let d = 2880 - 2880.4. Which is the closest to 0.1? (a) 0 (b) v (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 306809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 + 150\/(-138). Let d(x) = x**2 + 2*x + 1. Let q be d(-2). Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -27*b**2 + 9. Let a(t) = -2*t**2. Calculate a(k(o)).\nAnswer: -1458*o**4 + 972*o**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.6 + -1.5. Let q = v + 0.9. Let h = q + -13. What is the third biggest value in h, 3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*n = -4, u - 6*u + 26 = -3*n. Suppose -u*v + 80 = -0*v. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -792\/284869 or -1?\nAnswer: -792\/284869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12283.01 + -12283. What is the fourth smallest value in -0.3, f, -5, 0.2, -1\/24?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 44 = -j + 2*x, -x - 81 = -2*j. Solve -43*k + 2 = n - j*k, 2*n = k - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2. Let r(h) = -314*h + 101. Determine r(d(f)).\nAnswer: 942*f**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35553.\nAnswer: 3, 7, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 113, 222, 333, 446, 561, 678, 797?\n\"Answer: u**2 + 106*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3032\/7555 + 2\/1511. Sort -172, 3, l in decreasing order.\nAnswer: 3, l, -172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5187, 5161, 5149, 5157, 5191, 5257, 5361, 5509?\n\"Answer: q**3 + q**2 - 36*q + 5221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -111.\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-84)\/18 - -4) + 2\/3. Which is smaller: -2\/47 or a?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.016, -0.3, 3, 5, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/36 and 127\/1458.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140850559 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22003*k - 10934*k - 11009*k.\nAnswer: 60*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/33 and 3\/5*(-23240)\/(-8217)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*b + 669*b - 98*b + 32*b**2 - 295*b.\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303875 plus 256062.207?\nAnswer: 559937.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a (base 11) to base 13.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1140\/(-9) - -1)\/((-5)\/60). Suppose k = -9*t + 13*t. Find the second derivative of -t*v**2 + 5*v + 2*v + 374*v**2 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294060 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 3, -64, -385?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 + z**4 - z**4 + 59*z**2 + 19*z**4 - 59*z**2 + (z**3 + 0*z**3 + z**3)*(0*z + z + 2*z) - 3*z - z**4 + 3*z.\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2, -8\/23, 43, 2 in descending order.\nAnswer: 43, 14, 2, -8\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-306)\/510 + (-52)\/(-70)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 7:13 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 742 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12*-1)\/((-6)\/(-4)). Let g(n) = -n - 3. Let s be g(m). Sort s, 2, 3.\nAnswer: 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q + 2278 = 0. Suppose -9*p - 1568 = -5564. Let j = p + q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217850 is divided by 419?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + 40\/(-6). Let g(r) = r. Let f(p) = -p + 1. Let v(k) = 5*f(k) + 6*g(k). Calculate v(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -148, -151, -164, -193, -244?\n\"Answer: -b**3 + b**2 + b - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) -4 (c) 3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 11*o - 8*o - o.\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 4*g**2 + 3*g**2)*((-7*g + 3*g + 3*g)*(g - 3 + 3) + (2 - 5 + 2)*(g**2 - g**2 - 2*g**2)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.6 + 13.8. Let q(w) = -w**3 - 4*w**2 - 5*w - 6. Let a be q(-4). Let o = 6.13 - 1.13. Put a, f, o in decreasing order.\nAnswer: a, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = -24684 + 68321. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6)*(-6)\/(-4). Let j = 298172 - 298171.95. Which is the nearest to x? (a) 0.3 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 4\/1 + 3 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 1. Let t be v(-1). Let o = t + -3. Let q(h) = -h**3 + 10*h**2 + 8*h - 159. Let s be q(9). Are s and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.3 + -2189\nAnswer: -2176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -1286, -2442, -3942, -5786?\nAnswer: -7974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1558453 and -5?\nAnswer: -7792265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 1655641 = -4*z, -246*z + 2069560 = -241*z - 5*i. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/414588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*v - n + 549, -3*n + 1133 = 4*v. List the prime factors of v.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/1279, 1\/2, 2\/5, -0.09 in descending order.\nAnswer: 1\/2, 2\/5, -2\/1279, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 13*z**2 + 0*z**2 + 6*z**4 - 13 - 19*z**2 + 2*z**3 to o*z**3 + g*z**2 + h*z**4 + y*z + l and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -33*u**5 + 175917*u**4 - 235567719*u**3 + 2985049419*u**2 + 7550102868*u + 1272650580 = 0.\nAnswer: -2, -2\/11, 15, 2659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -5, 9, 5.\nAnswer: -10, -5, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127364355\/4187 - -30419. Is u equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-128)\/288 - 571\/(-9). Suppose -4*c - 2*d - 9 + u = 0, 5*c - 75 = -d. Solve -5*s + 5*r = 45, c = s + r + 3*r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + n - 60 = 0, 13 - 1 = 4*n. Is (-41)\/5*(-8 + r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*g*o + 29918*g - 389*o wrt o?\nAnswer: -28*g - 389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 0*z)*(2*z**2 - 6*z**4 + 0*z**4 + 4*z**4).\nAnswer: -4*z**5 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/768 and 23\/1090878?\nAnswer: 139632384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 9. Let o be (3 + 2 - 1) + -12. Is c(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -659\/13? (a) -1\/5 (b) 3 (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Suppose 6*b - 10*b - 16 = 0. Let o(h) = 265*h**2 + 45*h. Let x(q) = 24*q**2 + 4*q. Let a(j) = b*o(j) + 45*x(j). Give a(w(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 1. Give p(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -430 + 749. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 2*q**2 - 10*q + 24. Give x(-3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q + 2. Let t be 60*5\/60 + (-20)\/2. Let c(x) = -6*x - 2. What is t*c(z) - 4*h(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170331 is divided by 1812.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 10*u. Let h be x(1). Suppose 12*i = h*i. Suppose -111 = -i*k - 3*k. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26115041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-n + 0*n + 2*n) - 4*n + 4*n + n + 30 in the form t*n + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*z, -3*d + 76 - 37 = -3*z. Let f = -1 - -3. Solve -f*j - j = -d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/238048106 and 5\/14?\nAnswer: 1666336742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 140413000 rounded to the nearest 1000000?\nAnswer: 140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {p: 2, s: 3, r: 1, k: 1, t: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*l**2 - 10*l**2 - 5*l**2)*(-4*l + 8*l + 7*l).\nAnswer: -264*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 8)*(74*s**2 + 119*s**2 - 139*s**2) + (-2*s**2 + 2*s**2 + s**2)*(-1 + 2 + 0) to the form g + z*s**2 + l*s and give z.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2119205910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2015*q + 2761*q + 1756*q - 1179*q + 3311*q as u + r*q and give r.\nAnswer: 8664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3000 - -44?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 20*x = 450. Solve x*z - 7 = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 61. Calculate the highest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -77*v**5\/5 + 136*v**2 - 1083*v. What is the first derivative of m(x) wrt x?\nAnswer: -924*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 1\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f + 10388 = 5*l, 2*l - 4*f - 4144 = 0. Calculate the highest common factor of 64 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -23 + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 20 = -9*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 68 = -100. Suppose -2*u = -u + 7. Let p(t) = -t**2 - 10*t - 9. Let j be p(u). What is the greatest common divisor of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20123532 (base 7) in base 5?\nAnswer: -411414432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10942 + -10941.99975642. What is h rounded to six decimal places?\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*d + 10 = -w, 2*w - 11 = d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 14. Put -3\/2, 2, r in descending order.\nAnswer: 2, -3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4407 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*d + 9. Suppose -2*f + 4*a + 2 = -2, -d*a = 3. Suppose -5*z + 65 = -f*i + 5*i, -i + 15 = 3*z. Calculate the least common multiple of i and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 s when three letters picked without replacement from {s: 8, c: 5, v: 2, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1516 divide 67798961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -7, 0.4, -5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 223646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1100 + 1868. Calculate the remainder when x is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118604, -229, 1.\nAnswer: -118604, -229, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -4. Solve 0 = 3*a + a - g + 21, -h*g = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227306936385*l - 227306936385*l - 3*l**3 - 9*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from yfficyy.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 7:34 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94.088 + 94.1. What is the second biggest value in -1\/5, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2695)\/374 - -6 - (12 + -12 - 25\/20)\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1722 - 630161\/366. What is the common denominator of 77\/18 and p?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/(1\/(-20)). Suppose -2*o = -g*o + 6. Let k(x) = 5*x + 3 - x - 2*x - x**2 + o*x**2. What is k(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from gggggwnngg?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 0 - (1931 + -1959)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*k + 1, -4*s - 11 = k + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 16*m + 148. Let s(g) = 9*g + 88. Let v(x) = -3*n(x) + 5*s(x). Suppose -9 = -k + 5*o, -5*o - 15 = 5*k - 0*o. Let p(w) = -w. What is k*v(z) + 4*p(z)?\nAnswer: -z + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-898 - 964 + 2415)*(-2*j + 3*j - 3*j).\nAnswer: -1106*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -48*50\/182000*70\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 2. Let c(o) = o + 4. Let l(g) = 2*g + 7. Let k(q) = -7*c(q) + 4*l(q). What is 4*k(m) + w(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -22*x - 137, -19*x - 3*r - 9 = -20*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - 0 - 0)\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.42 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from {b: 3, o: 8, p: 2, t: 6}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-18) - (0 - (-16)\/(-9)). Solve -d = z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 10*l**2 - 11. Is 49 a factor of r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 3:53 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 2.9, 3, -0.5, 6\/11, 8 in descending order.\nAnswer: 8, 3, 2.9, 5\/4, 6\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 6:53 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-981)\/763*280\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45701 + -45701. Let i = 2.8 - 3. Which is the closest to 0? (a) -5 (b) i (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*u + 94, 5*u + 5*m - 176 = -26. Solve -7 = -5*l - u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 156*o**2 - 364*o - 334. Is r(68) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(8) + sqrt(84)\/(sqrt(18)\/sqrt(3)))*1)\/((sqrt(392) - -1*sqrt(392))*5).\nAnswer: 3*sqrt(7)\/280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from {i: 1, e: 2, k: 1, w: 1, g: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1458.\nAnswer: -1\/1458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2 + sqrt(2) + 5)**2 - (-4 + sqrt(2)*3)).\nAnswer: 11*sqrt(2) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 + 57*l**2 - 312*l + 46. Determine g(10).\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 39910822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20\/9, -0.02, -6\/11 in descending order.\nAnswer: 20\/9, -0.02, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 106 = 56*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2245789076 is divided by 411.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1475 = 18*l + 7*l. Let m = l - 61. Suppose -9 = -3*i + 3, -2*i - 12 = 4*v. Which is the smallest value? (a) 3 (b) m (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiooii. What is prob of sequence oiii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -4 - 4\/3*o + 4\/9*o**3 - 1\/3*o**2 + 1\/6*o**4. Factor m(y).\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 2. Let m be l(9). Is 2 a factor of 6\/18 - m\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*g - 124 = g, -4*g = 16. Let o(i) = 5*i**3 - i. Let p be o(1). Calculate the common denominator of 957\/189 - p\/14 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/((-2)\/15). Suppose k*a + 4*r - 28 = 0, 5*a - 2*r - 3 = 13. Suppose 2*q = 3*z + 45 + 17, -4*q - a*z = -164. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 32\/(-80) + 33\/(-5). Let l be 10\/(-16)*(u - 6)\/(-65). Let s = 7 + -4. Put l, -5, 2\/9, s in ascending order.\nAnswer: -5, l, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 1. Let g be z(4). Suppose 5*h - 42 + 2 = 0. Let k be (g - 0)*h\/140. Which is the nearest to k? (a) 2\/7 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 275128031?\nAnswer: 275128024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/5*(38\/(-6) - -3). Suppose 0 = 4*f - m - 0. Solve 0 = 3*k + f, h - 5*h + k = -10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-20) - (-8)\/(-5). Let n be g - 2*(-69)\/(-6). Let q = n + 43. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 7:39 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62987, -125975, -188963, -251951, -314939?\nAnswer: -377927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -925?\nAnswer: 3\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, 1\/3, -103 in descending order.\nAnswer: 5, 2, 1\/3, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(539) + -4 + sqrt(539)*3 + sqrt(539)))**2.\nAnswer: -10080*sqrt(11) + 485676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -1 - 4. Let d(m) = 4*m - 2. Let w be d(t). Suppose 3*u + 0*v - 6 = -3*v, -2*u - 3*v = -w. What is the smallest common multiple of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -7015?\nAnswer: -7015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/54 + 12\/(-9). Let t(o) = -11*o - 1. Calculate t(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(sqrt(12) + -2*sqrt(24)\/sqrt(2))*-6)\/(sqrt(125)*2 + sqrt(125) + (sqrt(500) - (2*sqrt(500) + sqrt(500)))))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4 + f**2 - 4. Let t(v) be the first derivative of -v**6\/120 + 2*v**3\/3 - 1. Let w(i) be the third derivative of t(i). What is w(l(r))?\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and 7.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4. Let a be (-4)\/l + 4\/6. What is the third derivative of s**4 - 4*s**2 - 2*s**4 + a*s**2 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 245. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -3*c**2 + 0 - 7\/3*c**3 - 7*c. What is the derivative of x(u) wrt u?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 360*m**2\/7 - 2018*m - 14484\/7.\nAnswer: 2*(m - 34)*(m + 1)*(m + 213)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21143*h**4 - 6038*h**2 - h - 2 wrt h.\nAnswer: 507432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1887 - -27?\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 476445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10\/66*4 + ((-88)\/12 - -7)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27564133*o**3*t**6 - 56*o**3*t**2 - 414*o**3*t + 5*o**3 - o*t**2 + 6*o wrt t.\nAnswer: -3307695960*o**3*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 250*h - 57570. Calculate b(230).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181803, -363609, -545415, -727221?\nAnswer: -909027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/5 - 49*m**5\/20 + 37*m**4\/4 - 33*m**3\/2 + 2396*m**2. Factor s(k).\nAnswer: 3*(k - 1)**2*(8*k - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 859276\/(-125552) + (-6)\/456.\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l**2 + 2 + 8*l**2 + 11*l + 2*l**3 + l**2 to c*l**2 + w + g*l + q*l**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 52 = 2*n - 5*n, w - 2*n - 32 = 0. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**5\/30 + k**4\/6 - 41*k**3\/6 - k + 8. Let p(s) be the second derivative of h(s). Determine p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0 - 2. Suppose z + 1 = 0, 108*y = 111*y + 5*z - 34. Calculate the remainder when y is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*d*j*p**5 + 3*d*j + 5*d*p**3 - d*p**2 - j wrt p?\nAnswer: -540*d*j*p**2 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2642 or 12055?\nAnswer: 12055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(40\/90). Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1059270, -1059291, -1059324, -1059369?\n\"Answer: -6*l**2 - 3*l - 1059261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-12)*(-3)\/(-2). Suppose -3*t - 1726697 = i*a + 613328, 0 = 3*t - 5*a + 2339975. What is t rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1539) + 2)**2)*5 + -1 + (5 + 6*(-1 + sqrt(1900)*-2))**2.\nAnswer: 420*sqrt(19) + 281340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2048) + 0 + sqrt(2048)*3 + -3)**2.\nAnswer: -768*sqrt(2) + 32777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111544\/5548 + 65 + 3\/(57\/(-2)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 - 81. What is the smallest common multiple of 16 and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2573, -2543, -2493, -2423, -2333, -2223?\n\"Answer: 10*r**2 - 2583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101180192005*x + 101180192005*x + 55*x**2 - 317*x**2.\nAnswer: -262*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28759989?\nAnswer: 3, 37, 259099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 292.9511 - 293. What is u rounded to 3 decimal places?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 247 - 50 - 258*c + 257*c + 951 to the form f + r*c and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2 - 33\/(-15)). Sort 1, p, -0.5, -0.02 in increasing order.\nAnswer: p, -0.5, -0.02, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, x: 2, r: 6, t: 3, d: 2, i: 1}. Give prob of sequence xt.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6628*b - 6643*b - 165 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8 and -107\/3876.\nAnswer: 7752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-44)*((q**(-7)\/q)\/q)\/q*(q**(-3\/5)\/q)\/((q\/q**(-1\/4))\/q*q) assuming q is positive.\nAnswer: q**(-1137\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-573*(-7)\/(-756) - (-4)\/18)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2*q - 4*q)*(q - 3*q + q)*((-1 - 1 - 1)*(1 - 5 - 12) + 1 + 3 - 3).\nAnswer: 98*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -465*g + 229. Let m(x) = -31*x - 2. What is m(l(z))?\nAnswer: 14415*z - 7101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 3:35 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1780?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40598)\/3)\/(3\/(-9)). Let p be (1 + 2)\/(2\/(-14)). Let v be (-6)\/p - h\/(-7). Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 955, 3827, 8613, 15313?\n\"Answer: 957*f**2 + f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-9)*6\/2. Suppose 4*l - 47 = -3*t, 5*t + 2*l - 37 = 2*t. Suppose 137 = -t*i + 155. Solve -4*o = -a*f, 3*f - o = -i*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 1\/4, -5\/4, -2\/107?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = u + 9, -45 = 22*u - 17*u. Let l = 2.02 - 0.02. Let h = 2.4 - l. Which is the nearest to y? (a) 8 (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, b + 3 = q - 2. Suppose 12 = 2*p + 4. Let j be 3 - (3 + p\/(-1)). Solve -q*m - j = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 196, -350.74, 5?\nAnswer: -350.74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197757954.\nAnswer: 2, 3, 10986553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 115, 149, 219, 337, 515, 765, 1099?\nAnswer: 1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/5068636 and 109\/22808862.\nAnswer: 45617724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - s = 3*s + 16, -4*s + 12 = 5*d. Suppose -5*b + 6 = -d*l + 1, -4*b + 3 = -3*l. Let r = l - -38. List the prime factors of r.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -l - 3*l - 25, 10 = -l + m. Let b(h) = -5*h - 16. Let g(y) = -4*y - 15. Let z(s) = -3*b(s) + 4*g(s). Calculate z(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -4, 13985, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5440?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*z - 2*m + 94, 2*z + m - 3108 + 3094 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/3, -91, -299 in descending order.\nAnswer: 1\/3, 2\/7, -91, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -k**4\/9 + k**3\/18 + 6*k + 3. Let s(u) be the first derivative of y(u). Solve s(a) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1752, -1717, -1642, -1515, -1324?\n\"Answer: 2*a**3 + 8*a**2 - 3*a - 1759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Suppose v*k + j = -4, 5*k + 2*j + 3 - 1 = 0. Let c = 3 + k. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 584, 1190, 2008, 3038?\nAnswer: 4280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, g: 1, k: 1, m: 2, n: 1}. Give prob of sequence kgb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -821 (b) -0.5 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r - 5*r + 5*r)*(1 + 2 - 4) - r + 0*r + 0*r + r - 5*r + 2*r)*((2 - 5 + 1)*(5 - 2 - 4) + (-4 + 2 + 0)*(-1 - 2 + 2) + 10 - 47 - 29).\nAnswer: 248*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5 + 5*(sqrt(931) + -1) + sqrt(931) + -2 + 4)*-4 + -1)**2.\nAnswer: 10080*sqrt(19) + 2145249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {a: 1, t: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -9785, 0, -2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 287 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-18) - (-70)\/(-9). Let p(t) = 5*t**2 - 8*t - 5. Is p(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138350177.\nAnswer: 29, 73736213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 18*j**2 - 19*j + 4. Let i be d(-19). Suppose -4*m + m - 39 = -3*y, -5*y + i*m = -65. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 6*n**2 - 4*n - 2. Let z be s(5). Let i be (-11)\/(1 - 2\/z). Let w = -12 - i. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -2\/5 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - -8 - ((-18 - -8) + -8)) + 1 + 0.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2408*o**3 + 6599*o**2 - 2*o - 143596635.\nAnswer: 7224*o**2 + 13198*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -117896619 + -0.3?\nAnswer: -117896619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -391583, -2\/19 in descending order.\nAnswer: -2\/19, -0.5, -391583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g + 1. Suppose -33*b = -159*b + 1764. Let y(i) be the third derivative of 0*i + 5\/8*i**4 + 0 + b*i**2 + 1\/3*i**3. Give -13*w(r) + 6*y(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7686)\/(-112))\/(-61)*(-2 + 24\/9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.28 + 0.3. Let w = a - -3.98. Let o = -0.35 - 0.05. What is the second biggest value in o, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2688) + sqrt(2688)*1)*-1)\/(5*(sqrt(6) + 2*sqrt(216))).\nAnswer: -16*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 128064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191947880.\nAnswer: 2, 5, 11, 17, 426731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-4) + -3)\/((-3)\/48). What is the highest common factor of 24 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*v**3 - 17*v**2 + 7*v**2 + 10*v**2 + 24 wrt v.\nAnswer: 129*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*q - 0*f - 9, 2*q = -2*f + 14. Suppose -78 = -q*v - d - 7, 5*v = -3*d + 94. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 32*l**2 + 27*l - 117. Determine y(-31).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**18*j*j*j**5\/j*j)**(-6\/11) assuming j is positive.\nAnswer: j**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*b - 11*b + 16*b + ((4*b - 2*b - b)*(-4 + 2 + 1) + 3*b - b - 4*b - 1 - b + 1)*(1 + 1 - 1))*(4*b - 3*b - 3*b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -113 smaller than -165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7\/2, 0, 3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -8*(-355)\/(-20)*-1 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-12)\/(-14))\/(24*6\/(-504))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 + 2*n**2)*(3*n - 5*n + 0*n) + (5*n - 2*n + n)*(-1285*n**2 - 3*n + 2544*n**2 - 1273*n**2).\nAnswer: -60*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -71681103 plus -0.1?\nAnswer: -71681103.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d**2 + 7. Let y(a) = 29*a**2 + 20. Determine 17*g(r) - 6*y(r).\nAnswer: -4*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9344 - 9336. Suppose 5*v - 25 + 6 = 3*m, 2*m + 6 = 0. Suppose -4*d - 108 = -5*b, -37 = -4*b + v*d + 53. What is the greatest common factor of n and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**1)\/f)**11\/(f**7*(((f*f**3)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 296\/13, -2\/7, 1\/4, 0.08, -28\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7*x + 145 = x, y + 4*x - 3 = 0. Suppose y*n - 101 - 1210 = 0. What is the remainder when n is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -20. Suppose a - 6 + 4 = 0. Suppose -2*k = -k + d*l - 17, -2*l + 14 = a*k. Solve c - 11 = 3*m, -2 = k*m + c - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**3 + 5*c**2 - 47*c + 18. Let w(k) = -10*k**3 + 6*k**2 - 48*k + 27. What is -3*o(f) + 2*w(f)?\nAnswer: 7*f**3 - 3*f**2 + 45*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 14. What is f(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 e when two letters picked without replacement from ykekekmehykyk?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60285493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 49*i**2. Let n(w) = 13336*w. Calculate m(n(h)).\nAnswer: 8714595904*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 + 1. Let x be z(1). Let u(p) = -p**3 + 6*p**2 + 13*p - 24. Let b be u(-4). Suppose x*o + b = 11*o. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956506663?\nAnswer: 3, 11, 179, 500509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6004157 to the power of 1\/2, to the nearest integer?\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {n: 2, v: 3, k: 1, z: 4, u: 7}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1376921 and 546?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060627 to four decimal places.\nAnswer: 0.0606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253494 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 615516677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + -a0?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 6. Let a(l) = 71 - 22 - 31 - l**3 - 10*l - 23 - 8*l**2. What are the prime factors of a(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*x**3 + x**2 + 127*x**3 - 73*x**3 - 10*x**4 + 3 in the form b*x + i*x**2 + o*x**4 + m + n*x**3 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2634 + 2635. Is m smaller than 3\/586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkulihlkklukukik. What is prob of picking 1 i and 1 u?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 104844.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 3107001.58?\nAnswer: -3107003.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmma when four letters picked without replacement from {k: 1, b: 1, x: 2, m: 8, a: 3, n: 1}?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 31*h**2 - 32*h - 40. Let m be a(-30). Let k be 4 - (m\/(-14))\/((-24)\/72). Sort 0.2, k, 5, -2.\nAnswer: -2, k, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/12 - o. Let k(z) = 704 - 1401 - 5*z**2 + 697. What is k(l(u))?\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484 = 10*y - 504. Suppose -4 + 3 = -3*w - y*v, v = -2*w + 2. Solve w*o + 2 = 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.161 * -49.\nAnswer: 7.889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 4. Let b(v) = -2*v + 4. Let n(z) = -4*b(z) + 3*m(z). Determine n(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -0. Let q be (4\/3)\/1*6\/40. What is the closest to 0.2 in 2, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -511 - -1025\/2. Let v = 11 + -9.9. Let x = v + -1. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91350*a**5 - 9788*a + 11.\nAnswer: 1827000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o**(1\/4))\/(o**(-7)\/((o**(1\/7)*o)\/o)) assuming o is positive.\nAnswer: o**(1091\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2848456.\nAnswer: 2, 13, 61, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2121 - 2099. Let a(o) = o**3 - 22*o**2 - 2*o + 24. What is a(b)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = -4. Let t be 9*(-2)\/(-27)*57*2\/(-4). Which is the third biggest value? (a) -0.3 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/15 - 6334*z**3\/15 + 19052*z**2\/15 + 101464*z\/15 + 5072 = 0.\nAnswer: -3170, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 66*z = 36 + 404 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -451461.4 to the nearest one thousand.\nAnswer: -451000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-1 - 0) - (184 + -198)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {w: 6, g: 2, c: 10}.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3782*d. Let z(b) = -5*b. What is z(k(w))?\nAnswer: -18910*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -382, -205, 64, 425?\nAnswer: 878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**3 - 4*o**2 + 16*o - 9. Let r be w(3). Let h = 2 + 4. Calculate the highest common divisor of h and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(70) + -4*sqrt(70)))\/sqrt(10))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -50303?\nAnswer: 50303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 + 7*z + 7. Let c(t) = -3 + 11*t + 16*t - 2*t**3 + 14*t - 44*t. What is -5*c(n) - 2*l(n)?\nAnswer: 2*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:02 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 41 = -69. Let c(o) = -o**2 - 7*o - 12. Calculate c(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**5 + p**5 - 2*p**5 + (-2*p**4 + 2*p**4 - 4*p**4)*(-p + 4 - 4).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/7*v + 0 - 2\/7*v**2.\nAnswer: -2*v*(v + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Solve u = l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 + -13.6. Let l = 16 + h. Let u = 0.366 - -0.134. Which is the closest to -1? (a) 0.2 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 - s**2 + 4*s**2)*(0 - 5 - 2).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n - 28. Let h be s(-6). Suppose -h*c + 40910 = 11490348. Let v = -2824719 - c. Round v to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 147*r - 1632.\nAnswer: -3*(r + 17)*(r + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 68*v**2 + 65*v + 216. Calculate r(69).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 22*a + 6. Let r = -5 + 9. What is the remainder when c(r) is divided by (2 - (-6)\/(-4))*48?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277706.1 kilometers in nanometers?\nAnswer: 277706100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 381 divided by 4\nAnswer: 381\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -627323 and -627323 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187493228.\nAnswer: 2, 13, 79, 45641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0539208 + 0.054. Round r to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4743 or -216?\nAnswer: -216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89510 and 12?\nAnswer: 537060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25661458 by -5.\nAnswer: 25661458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 7 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - 15. Suppose -k*i + 23 = 5*y, i = 2*y + y - 7. Suppose 5*w - 4 = -4*a, 0 = -4*a + a - 5*w + y. Solve 5*s = 2*f + 10, s + a = -f + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3868*v - 27432 + 309796 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1139\/2 - 569. Let v = 4 - 9. What is the closest to 2\/5 in v, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-657 + 657 - 29*y)*(214*y**2 - 214*y**2 + 6*y**3) + y**4 + 6*y**2 - 6*y**2.\nAnswer: -173*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -12. Which is the smallest value? (a) w (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 10*z = -8. Let m(h) = -14*h + 7. Let s(w) = 28*w - 15. Let f(q) = z*s(q) + 5*m(q). List the prime factors of f(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*(-30)\/(-180))\/(30\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*s**2 - 9362322*k - 58698218*s**2 with respect to k.\nAnswer: 2*s**2 - 9362322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1927.2 and 25279.8.\nAnswer: 23352.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 3*r - 6*r + 5*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/10)\/(8\/(-22852)). Let q = 1135 + f. Find the common denominator of 2*(147\/105 - 6\/(-4)) and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 2)\/((-2)\/(-40)). Suppose 17*o = 22*o - q. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*i + 14, -r - 2*i = -5*r + 30. Let d = r - 6. Let b(t) = 2*t**3 + t. Is b(d) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5026568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let j(x) = -4*x**2. Suppose -95*s + 77*s = 144. Let n be 7 + -14 + s\/(-1). Give n*j(m) + 8*h(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -z + 4*d, z - 22 = d - 4. Let n(h) = -17*h + 77*h**2 - 214*h**2 + 74*h**2 + 64*h**2 + 22. Let o be n(z). Solve o*k = k + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -27981\/4 + 6996. Suppose a + 42 = -2*a. Which is greater: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**3 + 1404*a**2 - 2*a - 3. Let d(x) = x**3 + x + 1. Determine b(j) + 3*d(j).\nAnswer: -2*j**3 + 1404*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 + 3*c - 1. Let z(w) = -4*w**2 - 4*w + 1. Give 3*d(u) + 2*z(u).\nAnswer: u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 28590409*c**5\/2 - 85728451*c**4\/4 - 2373068103*c**3\/4 + 599510981*c**2\/2 + 224491*c + 42 = 0.\nAnswer: -6, -2\/5347, 1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664230?\nAnswer: 2, 3, 5, 7, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -489\/5 - -88. Let z = 10581 + -275215\/26. What is the common denominator of z and k?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -592*v**4 + 51*v**3 + 4*v**2 + 118299 with respect to v.\nAnswer: -2368*v**3 + 153*v**2 + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - g - 1. Suppose -1072*k - 136 + 518 = -690. Let z(u) be the first derivative of -3*u**4\/2 - 3*u**2 - 6*u + 1. Determine k*z(l) - 4*h(l).\nAnswer: -10*l**3 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 + 1 - 2 + 3 + 15*a - 215*a + 0 to the form m*a**2 + o + x*a and give x.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f = 95 + 145 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 200168*h - 2504201764.\nAnswer: -4*(h - 25021)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 823211 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 + 86. Suppose 0 = -s + d*b + 37, 0 = -4*s + b + 44 + 44. Find the first derivative of -17*h**2 - s*h**2 - 6 + 31*h**3 + 38*h**2 wrt h.\nAnswer: 93*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:12 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/93465 and -68\/2325.\nAnswer: 467325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 219\/10*-92*(-715)\/19734?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1016 + 948 - (-958)\/14.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -8 (b) 4\/5 (c) -84 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9996960 and 20493768?\nAnswer: 409875360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*s + 41*s - 9576. Calculate the remainder when 1479 is divided by s.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 31221?\nAnswer: -31218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j - 66*j - 49*j.\nAnswer: -130*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, 2, 0.03, -4, 3\/4, -2726\/7, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*(-8 - 1). Let y be ((-224)\/5)\/((-6)\/(-30)). Calculate the remainder when (-4)\/o + y\/(-12) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 2710*s - 13532. Calculate m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24941065819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 537.22.\nAnswer: 26.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -36619, -43973, -51327, -58681, -66035?\n\"Answer: -7354*i - 29265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17744 times 0.019\nAnswer: 337.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34593 and 29271.\nAnswer: 380523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2 + 17*i**2 - 29*i**2 + 6*i**2 - 2 - i. Let u(l) = 4*l**2 - 3*l - 6. Let x(v) = 6*g(v) - 2*u(v). Let j(c) = 16*c. Calculate x(j(m)).\nAnswer: -512*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*m + 325 = 1494 + 5531 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 3*v = -4*s + 28, -5*s = 4*v - 33 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 10:05 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, v: 9}. What is prob of sequence vwvv?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 27193 (b) 0.2 (c) -2 (d) -2\/9 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1023, 3\/4, -0.018.\nAnswer: -0.018, 3\/4, 1023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -75270774*f + 75270776*f, f = 6*i + 36 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 3. Let t = -2.07 + 3.07. Let k = u - t. Is k not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(174*p + 16*p - 43*p) - 3*p + 2*p - 3*p.\nAnswer: 143*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 9*p + 9. Let s be o(-10). Is 29 a factor of 71 - s\/3*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3 + 3)*(-1 + 2 - 2) + 887*o - 165*o - 238*o + 466*o + 17 - 17 + 4*o.\nAnswer: 955*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-14 - -14))\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3 + 3 - 4*d. Let h(y) = 19 - 2*y - 19. What is h(k(r))?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39430913881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 17078816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 636 and 4876?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/7)\/o**(-3\/5) assuming o is positive.\nAnswer: o**(41\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (47 - 54) + (-4 - (6 - 15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1465 - 19025\/13. Let v = 355\/104 - o. What is the common denominator of v and (5\/(-27))\/(2\/(-75))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4050 and 70650.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2566240 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7947*c - 218. Is q(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11130 - -110110?\nAnswer: 32320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 9*r**2 - 5*r**2 - 5)*(2*r**2 + 3 - 3).\nAnswer: -2*r**4 - 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3\/3 - 2*q**2 - 2*q - 22. Suppose -2*z + 32 = 3*z - 3*o, 28 = 2*z - 5*o. Determine j(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 7*y - 10. Suppose -3*d = -9, 4*v - 2 = -d - 23. Let o be m(v). Suppose 3*a + 4*j = 91, -5*a = 4*j - 233 + o. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.44392 - 0.295314. Let f = s + -0.149. What is f rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - 24. Let a be ((-2)\/4)\/(2\/p). Let -2*d**5 - 3*d**5 - 18*d**3 - 3*d + 2*d**5 - a*d**4 + 3*d**4 - 12*d**2 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)*b**(-5))**(2\/9) assuming b is positive.\nAnswer: b**(-106\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.2 (b) 6\/5 (c) 2\/5 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 250*s**3 - 5916*s**2 wrt s?\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(315))\/sqrt(9) + -2*sqrt(35)*2)\/(sqrt(77)\/((-2*sqrt(11) + sqrt(11))*4))*-4.\nAnswer: -48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/196)\/(12\/(-6)*(-12)\/64)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2139 by 69.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 2*a - 14*a + 4*a + 8*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 20*n**3 - 4*n**2 + n + 77. Let a(g) = -7*g**3 + g**2 - 26. Let f(h) = 17*a(h) + 6*z(h). Is f(8) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1725)\/60)\/(-23)*(-36)\/(-90)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4475816.6 to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(-105)\/(-28)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/684*6)\/((-2)\/(-42)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12108949 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 748825.\nAnswer: -3744125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**2 - 18. Let w(a) = -5*a**2 + 8. Let h(u) = -9*w(u) - 4*y(u). Let d(b) = -2*b**2 + b**2 - 3*b**2. What is h(d(i))?\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00402687 to four decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 603 + -622. Let h(s) = s + 21. Let b be h(0). Let y = t + b. Solve 0 = -p + y*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/32*600\/(-1500)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 569 - 1031*v**3 - 183 - 189 - 197.\nAnswer: -1031*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/6 + (-4 - 1970\/(-15)).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 244*x**2 + 911*x + 11220. Determine c(240).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*t, 5*f + 5*t - 52 + 12 = 0. Suppose 3*l = -4*b + 45029, -2*l - 33759 = -f*b + b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 27.8. Let i be (12 + (-116)\/8)*(-8)\/(-10). Let r be (-10)\/(-8) + 1\/4. What is the nearest to i in r, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 34, 41, 40, 31, 14, -11?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 4*g + 5. Suppose -k - 4*q + 2 = 12, 13 = 2*k - 3*q. Let z(i) = 5*i - i**2 + 0*i + k*i**2 - 4. Let s(v) = -4*u(v) - 3*z(v). Calculate s(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -12572?\nAnswer: 12571.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 13. Suppose g*y + x - 17 = 0, 2*x = -3*y + 4*y - 15. Are 8 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3137 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 646 + -597.66. Let p = -0.66 - g. Let k = p + 48.99951. Round k to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 7:50 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(76) - (sqrt(76) + (2 + sqrt(76) - sqrt(76))))*-3 + sqrt(76))*1 + -6*3*(2 + sqrt(76)))**2 + 2)*-4.\nAnswer: -91464 - 8160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -42*s + 40*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15557*n**3 - 4*n**2 - 2*n + 3. Let d = 2 + 0. Suppose d*x - 8 = -y + 3*x, -y - x - 2 = 0. Let k be m(y). What is k rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 1:01 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44115, 87789, 131463, 175137, 218811, 262485?\n\"Answer: 43674*n + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -528, 0.4 in increasing order.\nAnswer: -528, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -13 - (-553 - -523)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 372*j - 66*j - 1144 = -80*j, 2*j - 20 = -a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or 4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - i**5 + i**5 + (3*i**4 - 3*i**4 + i**4)*(-3*i - i + 2*i) + 0 + 3*i**5 + 0 + (3*i**3 + 0*i + 0*i)*(-2 + 2 + i**2) - i**5 - 4*i**5 + 7*i**5.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133337074?\nAnswer: 2, 13, 5128349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**(-2\/37) assuming y is positive.\nAnswer: y**(-2\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19472*g + 5*w = -19477*g + 45, -w = -2*g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4*(-4 - -6). Let o(g) = -5*g**3 + j*g + 3 + 4*g**3 - 7*g. Let h = 5 - 7. Determine o(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*84\/(-36)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 3684?\nAnswer: 11052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*d**2 + 19*d**2 - d**4 + 3*d**4 - 4*d**4 - d**4 - d**4 - d**3 + d**3 - 2*d**4 + 2*d**4 - d**4 + (2*d + 3*d - 3*d)*(d - d + 2*d**3) + 2*d**4 - 3 + 3.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32401453 - 3?\nAnswer: -32401456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 78 = 188. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/10)\/(3\/(-8)). Suppose -d + 79 = z + x*z, 5*z = -3*d + 87. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Let q = 0.22 - -3.38. Let x = 3.9 - q. What is the fourth smallest value in 0.2, x, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.06*-176.\nAnswer: -1946.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (13 + -7) - 6) + -14?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:46 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -835 or 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 + 1.9. Let x = 0.02 + -4.02. Let n = x + 8. Sort y, n, 0.2 in decreasing order.\nAnswer: n, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212114 (base 5) in base 12?\nAnswer: -4187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -269 + 404 + (-8 - -2) + -23?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*w - 5, -5*d + 4067 = -4*w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 = -l - 5*z + 213, 4*l - 10 = -2*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -209 + 205. Let a be -3 - o - (-1)\/(4\/(-6)). Is a bigger than -0.22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**4 - m**3 + m**2 + m. Let w(q) = -9*q**4 - 17*q**3 - 5*q**2 + 5*q + 2. Let n(o) = -6*s(o) + w(o). Factor n(u).\nAnswer: -(u + 1)**2*(u + 2)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12973156?\nAnswer: 2, 7, 59, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + 1 + 3 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -163, -171, -179?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -290569.\nAnswer: -21\/290569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/311 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10592.0775 rounded to the nearest ten?\nAnswer: 10590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1689, -2216, -3093, -4320, -5897, -7824?\nAnswer: -10101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + sqrt(343) + 5)*-6*-5*3.\nAnswer: 630*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:00 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 1849*b - 20208. Give u(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954.45379 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -6. Let r(d) = -2*d**2 - 15*d - 8. Let i(p) = p**2 + 7*p + 4. Let s(t) = j*i(t) - 2*r(t). Let m be s(-4). Solve m*z + z = 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.0542 milliseconds to microseconds.\nAnswer: 36054.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*a = -70*a + h - 1, 4*h = -a + 4. Solve a = -2*f + 5*w + 10, -4 = f + 3*w - 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2072\/9 - -230. Sort -0.2, -5\/4, u in decreasing order.\nAnswer: -0.2, u, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-8)*o**(-5))\/(o**(2\/9))**(-39))**(-48) assuming o is positive.\nAnswer: o**(-608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*d + 56. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + 16275\/147. Suppose p = -2*b + 6, b = -4*p + 2*b + 15. Is r\/p*(-1 + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:37 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 2*q - 3. Let r be d(-2). Suppose r*h - 15 - 25 = 0. Suppose 0*k + 4*s - 16 = 5*k, -2*k - 2*s = -h. Solve k*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.4. Let m = -0.7 + 3.7. Let v = m - 3.3. Sort 0, v, l in increasing order.\nAnswer: v, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - (-176)\/6. Let f be (-37)\/2 - (-15)\/s. Let i = f - -21. Solve 2*k + i*c - 4 = 0, 6*c - 8 = -4*k + 3*c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 = -6. Let n = i - -2. Is 0 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -466, -885, -1304?\n\"Answer: -419*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h**3 + h + 11. Let u(m) = -1312*m**3 + 123*m + 1353. Determine 246*i(o) - 2*u(o).\nAnswer: 1886*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 242. Let q be 3\/(-6) - v\/(-2). Suppose 3*b + 2*g = 6*g + 64, -5*b = 5*g - q. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -9663701?\nAnswer: 9663700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131537*0.2.\nAnswer: 26307.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2245412 and 15080.\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -8 + 23 - 11. Solve o*s + 13 = 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -1, 4\/5, 5, 2\/5, -5\/153, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 19*k - 33. Let v be c(21). Solve 3*f = v*f + 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41290?\nAnswer: 2, 5, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55482303 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.34, -0.4, 0.03, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -397\/4?\nAnswer: -397\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 33*a**2 + a**2 + 12*a**2)*(-113*a - 32*a + 23*a) as g*a + s + d*a**2 + l*a**3 and give d.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5 + -20)*-1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66469774?\nAnswer: 2, 7, 41, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.8 - -13.8. Put -1\/6, 1\/2, y, 6\/17 in descending order.\nAnswer: 1\/2, 6\/17, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 greater than 587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37541519 to the nearest integer?\nAnswer: 6127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*-1*(-3 - -2). Let z be 1 + 1 + d + 3. Let p be -2 + z + 16\/(-18). Sort -4, -1, p in ascending order.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let b(f) = -2*f + 9. Give d(b(a)).\nAnswer: 4*a - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 f, and 1 j when three letters picked without replacement from {f: 1, j: 2, q: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n**3 + 5*n**2 - 1. Let b(u) = 13*u**3 - 6*u**2 + 1. Let l(j) = 5*b(j) + 6*p(j). Find the common denominator of l(1) and 49\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -40*k - 1. Let d(p) be the second derivative of -5\/12*p**4 + 0*p**2 + 142*p + 0 + 0*p**3. Calculate c(d(v)).\nAnswer: 200*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 11, z: 6}. Give prob of picking 2 z and 1 g.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1120433 and 6231.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88330.949451 - -88331. Round c to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 54*v + 175 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nncnntnudqucd. What is prob of sequence qud?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.254063265 to 5 decimal places.\nAnswer: -0.25406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -307.990081407.\nAnswer: -306.990081407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -88 * 491714\nAnswer: -43270832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/2)*v*v*v**(-3\/7))**(-21) assuming v is positive.\nAnswer: v**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, x: 3, n: 2, i: 2}. Give prob of picking 1 x and 2 a.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -144 - -330. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18830 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 6 - 6 + 0 - 2*y as d*y + j*y**2 + b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -6*t**2 + 0*t - 1\/24*t**4 + 0*t**3 + 1\/120*t**5 + 0. Find d, given that u(d) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Suppose -1 = k - 3*s, -5*k - 5 = -0*s - j*s. Let h = 3.5 + -4. Which is the second smallest value? (a) h (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24196*m**6 + 4*m**5 + 4*m**4 + 54220057*m**2 wrt m?\nAnswer: 2903520*m**3 + 240*m**2 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193\/33 - 68\/11. Calculate the common denominator of 21\/6 + 3\/(-5) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 0. Let u be -9*13\/(1053\/18). Which is the second biggest value? (a) -1 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240 + 419. Let p = g - 105. Let s = p - 74.00000105. What is s rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*r**2 - 10\/7*r - 2\/7*r**3 - 4\/7.\nAnswer: -2*(r + 1)**2*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 8 + 12. Let y be (4 + r)\/(-3) + 61. Let b = y + -42. What is the remainder when 54 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 34. Let t = d - -40.972. Let l = t - -0.027972. What is l rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -0.5, 11, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-36)*-186 - (-2)\/(-3). Suppose -18*n - 48 = -v*n. Calculate the remainder when 86 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1100010?\nAnswer: -1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*x = 0, 2*t - 4 = 7*x - 2*x. What is the lowest common multiple of (0 - 4)*t\/2 and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*l + 1 + 4*l + 0*l - 2*l + (1 - 2 + 2)*(-3*l + 4*l - 2*l) + 2*l - 8*l + 4*l)*(-73 + 73 - 56*l).\nAnswer: 168*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:12 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 376 and -0.12?\nAnswer: -45.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5.02. Let o = v - 0.48. Which is the third smallest value? (a) -0.4 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*q = -32, 0 = -2*y - 4*q - 0*q + 28. Find the third derivative of 16*c**y + 15*c**5 + 6*c**2 - 2*c**2 - 15*c**5 wrt c.\nAnswer: 1920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243851424 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (0 - (-2)\/(-1)). Suppose -2*t + 35 = v*t. Let g = 80.59 + -81.59. What is the third biggest value in t, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 (base 12) in base 8?\nAnswer: 3742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y - 4. Calculate c(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 30*k**2 + 767*k + 100. Give n(-25).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 12 = 3*d. Let x be (-4)\/d + (-132)\/(-5). Suppose 0 = -3*a - x + 68. Calculate the remainder when 26 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-395)\/280*-2 - 2 and -67\/10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**19)*u)\/u**(-29))\/(u\/u**(-7\/2)*u)**(-2\/143) assuming u is positive.\nAnswer: u**(638\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.16 less than 13412?\nAnswer: 13403.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 387930 and 24125?\nAnswer: 965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1571064 (base 8) in base 10?\nAnswer: -455220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1147 in -0.1, 10, -20?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Suppose f = 2*f - 3*y - 302, s = 5*f + y - 1494. Suppose -f = -3*u - 56. Calculate the highest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-45)\/(-9) - 44\/(-10). What is the nearest to -2\/7 in k, 3, 1\/4, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601.36 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twtcdwtcwct. Give prob of sequence wc.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15562406 is divided by 1729154.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(-4*2*4*(sqrt(288) - sqrt(288)*1*1))**2*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4165505560?\nAnswer: 2, 5, 73, 1426543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80091 is divided by 8921?\nAnswer: 8723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1594714.13+26819\nAnswer: 1621533.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*j**2 + 290*j**2 + 1 - 1.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8590633 (base 11) in base 10?\nAnswer: 15110274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/3))\/(o*o*o**(1\/2)) assuming o is positive.\nAnswer: o**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1780.74 - 1793.34488. Let k = -434.5 - -421.9. Let c = x - k. Round c to 4 decimal places.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350003 is divided by 174993.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 28. Calculate the highest common factor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213879?\nAnswer: 3, 71293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -505 - -511. What is the smallest common multiple of u and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 1, l: 1, c: 2}. What is prob of sequence ie?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a factor of 1470197589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -7*w + 2*w. Let q = -65 - -146. Suppose q - 48 = 3*m. Is m bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19298084?\nAnswer: 2, 13, 71, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/26 - 744\/(-403). Let l = -41 + 44. Solve -z = -j*z + l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -3, 0.03, 29?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25671367919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 3:11 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -49. Let s be z\/1 - (6 + (-1 - 2)). Suppose s = -2*g - 1 + 9. Solve -4*h = 4*b - 2 - 14, 0 = -g*b + 4*h + 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2 - 7105239*l = 0.\nAnswer: 0, 2368413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3008 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 0 + 2*p - 1 + 2*p**3 + 0 + 0*p. What is w(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c976 + -3?\nAnswer: -1c979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 1\/76 (c) 0.8 (d) 0.5 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 4*u**2 - 3. Suppose -15 = 5*a + 2*b, -a - 16 = 3*b - 0. Give p(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62.638 * 1.876\nAnswer: 117.508888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0322 at least 0.066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -771 - -771. Suppose w = 3*x + 3*l, 5*x + 6 = 3*l - 34. Let u(b) = -b**3 - 2*b**2 + 8*b + 7. Determine u(x).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384\/7 + 3749\/70. What is the common denominator of (-223)\/(-84) - (-2)\/8 and z?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -14*u**3 + 2*u**2 + u - 3. What is s(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/(-10))\/((-68)\/(-31790))?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 257382 and 3989421.\nAnswer: 7978842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1300) + 3*(sqrt(1300) + -1) - -6*(2*sqrt(1300) - sqrt(1300)))*-5)**2 + 5)*6.\nAnswer: -90000*sqrt(13) + 19501380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 1225 = -9*c. Let v = c + -164. Round v to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43960 to the nearest 1000.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 20?\nAnswer: 21\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 41. Let o(c) = 2076*c - 410. Calculate 10*n(z) - o(z).\nAnswer: -2066*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 2*f. Suppose 3*j + 5 = -f. Let x(t) be the second derivative of -t**3\/6 - t**2\/2 + t + 1. Give x(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 - (-1 + 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 13*b - 2120. Let c = b - 183. Solve -2*n + 12 = 4*d, 0 = c*d - 2*n + 5*n - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2) + (-460)\/8. Let q be 3888\/p + (-6)\/(-14). Let z = -482\/7 - q. Which is the third biggest value? (a) 0 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2799.3 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*n = -10. Suppose -4*q + 8 = -4*j, -j - 8 = q - n*q. Suppose j = -4*a + 8, a = -3*r + 41. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 334268*g - 668552.\nAnswer: 4*(g - 2)*(g + 83569)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6555595 years to months.\nAnswer: 7.866714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19727*n**2 - 432902*n wrt n.\nAnswer: 39454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 16, v: 2}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 192*f**2 - 2*f + 2. Let t(a) = -a**3 + 7*a**2 + 22*a - 38. Let y be t(9). What is the hundreds digit of j(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*r + 28 = -s, 0 = -2*r - 8. Let j = s + 47. Let y = -31 + j. What is the nearest to y in 3\/8, -6, -2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 95 = -3*d - 3*w, 5*w = -4*d + 89. Suppose d = 3*m - 112. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 183.421 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f**3 + 14 - 14.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/696309396 and 5\/84.\nAnswer: 4874165772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2499, 2531, 2545, 2541, 2519, 2479?\n\"Answer: -9*c**2 + 59*c + 2449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f + 75 + 33. Let l be 3*(30\/(-40) + (-29)\/f). Suppose -5*v + 453 = r - 0*v, -l*v + 1409 = 3*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -834 - -835. Which is the fourth biggest value? (a) q (b) -5\/3 (c) -0.2 (d) -16\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -5*q - 40. Let f be g(-13). Suppose -5*y = 5*u - f, -2*y = u - 0*u - 14. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 4*((-580)\/(-176) - 3). Let x = 3 + -3. Which is greater: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 7126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**6\/720 + 7*s**5\/120 - 13*s**4\/12 - 7*s. Let n(z) be the third derivative of t(z). Give n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 18 + x - 2*x)*((3 - x**3 - 3)*(-x + 1 - 1) + 2*x**4 - 3*x**4 + 2*x**4).\nAnswer: -2*x**5 - 38*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 - 3 = 0. Suppose 3*m + 5 = 4*w, 3*w - m = n*w. Let q = 20.8 + -22.4. Which is the biggest value? (a) -0.4 (b) q (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**4 - g**4 - 5*g**4)*(-3*g + 5*g - g) - 2*g**2 + 2*g**2 - g**5 + (0*g - 1 + g + 3)*(14*g**4 + 17 - 17).\nAnswer: 11*g**5 + 28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 5:46 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 l when four letters picked without replacement from yllyyyyyyyyyyyyyyyyy.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296207*q - 296174*q - 858 = 0 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) -3 (d) 0.3 (e) -899\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4d - 5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d + 2*n + 4, d + 3*n = -7. Solve t = -d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 3779490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5792 - -5777. Put 3, -0.05, -1\/6, 0.1, z in descending order.\nAnswer: 3, 0.1, -0.05, -1\/6, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -1, 4\/3, 1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(-1 + (-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163247 - -138923214\/851. What is the common denominator of q and -10\/407?\nAnswer: 9361","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 4*x - 9*x**2 - 4*x - 2*x.\nAnswer: -9*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/8 (b) 1\/2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 3*m**2 + 3*m - 2. Suppose -5*y - b - 3 + 36 = 0, -3*b = y - 1. Suppose y*h - 2*h = 0, -6 = -2*g + 5*h. Determine s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2)*(-1260)\/840*(-2)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*f + 1)*(2*f**3 - 3*f**2 + 3*f**2) + 29*f**4 - 12*f**4 - 5*f**4 - 35*f**4 + 30 - 30 in the form z*f + r*f**3 + q*f**4 + p*f**2 + t and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-5))\/((-323)\/(-1615))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -3*z**5\/20 - 11*z**4\/4 - 13*z**3 - 24*z**2 + z - 18. Factor d(l).\nAnswer: -3*(l + 1)*(l + 2)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14371\/6 - 155033\/66. Let g = h - 46. Let n = -2.252 - 2.748. Sort g, -1, n in increasing order.\nAnswer: n, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*f + 3988 + 15812 = 0. What is the remainder when f is divided by 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9129*n**3 + 0 + 0.\nAnswer: -9129*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 3 + -1 + 3. Solve 16 = -2*x + 4*m - 0, 0 = 5*x - b*m + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 5 + 0*l**2 + 0*l**3 + 0*l**4 - 3*l + 3\/35*l**5 + 1\/2*l**7 + 2\/5*l**6. Solve t(p) = 0 for p.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -19*f**2 + 13*f**2 + 288*f + 10*f**2 - 242*f - 27. Calculate n(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-873024)\/45470 + (-48)\/10.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 113, 175, 237, 299, 361?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33154 - -1?\nAnswer: 33155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 129380, 129347, 129294, 129221, 129128, 129015, 128882?\n\"Answer: -10*a**2 - 3*a + 129393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/156*1\/(-4). Let s(d) = -d**2 - 2*d + 8. Calculate s(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eea when three letters picked without replacement from eaaeaaaeeeaaaa.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/1 + 1)*((-5750)\/300 - -19). Solve -2*u = -17*l + 21*l, 4*l - 3*u + 20 = a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.114 + -2315805818065.\nAnswer: -2315805818064.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -174, -247, -300, -327, -322, -279, -192?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) -2\/15 (c) 2\/155\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432*w - 2*w**3 - 350*w - 720*w + 5 - 928*w + 1453 + 110*w**2.\nAnswer: -2*(w - 27)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/((-40)\/(-40))*(-340)\/(-3026)\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4466321 (base 7) to base 14\nAnswer: -1060b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26959488 to the nearest integer?\nAnswer: 5192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 43. What is the least common multiple of 16 and a?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3420 and 3205110.\nAnswer: 19230660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 51 - 11 - 859*y**2)*(-17*y**3 - 32*y + 32*y).\nAnswer: 14603*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 2\/5*n**3 - 2\/5*n**2 - 34\/5*n.\nAnswer: 2*(n - 5)*(n + 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005414.4 rounded to the nearest 10000?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -1 - (10093 + -10068)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 + 7*n + 19. Calculate a(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.459037 hours to days.\nAnswer: 1.227459875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -351*s**2 - s - 6. Let i(f) = -70*f**2 - 1. Let t(h) = -11*i(h) + 2*l(h). Let b be t(-1). Is 9 a factor of b\/5 + 2\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4829.475 + 2.525. Let b = f + -4838.099. Round b to one decimal place.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -21*x**2 - 12*x + 3. Let a(f) = -126*f**2 - 69*f + 17. What is -6*a(l) + 34*i(l)?\nAnswer: 42*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: (3 - (6 - (-3 + 3 + 10))) + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*w - 4*s, -4*s = -4*w + 28. Let a(b) = -b**3 + 7*b**2 + b - 9. Let k be a(7). Let m = w - k. Solve -l = -m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85 + 7 + -39 + -36.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -r - 87, 2*o - 3*r + 49 = -34. Let m = -0.0091 - -0.0091. Which is the third smallest value? (a) 0.4 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6148 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (108\/15)\/(5\/50) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/44)\/(2\/(-61612)) + 432\/(-792). Calculate the highest common divisor of 112 and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f - 123 = -56 + 219 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6746*v**3 + 10*v**2 - 3233*v. Let q(h) = -3373*h**3 - 6*h**2 + 1621*h. Let u(i) = -3*g(i) - 5*q(i). Find the second derivative of u(t) wrt t.\nAnswer: -20238*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*q = 39, -5*k - 9*q + 73 = -6*q. Calculate the smallest common multiple of 160 and k.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 6. Let t(h) = -h**j - 1 + 0*h + h + 6*h. Calculate t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (36\/27)\/(2\/108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-17226)\/1755 - (1 - (-17)\/(-15)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-31 - (-342)\/12)\/(1\/(-2)). Let l(q) be the second derivative of -15*q - 2\/9*q**3 + 1\/60*q**r + 0 + 0*q**2 + 1\/12*q**4. Factor l(j).\nAnswer: j*(j - 1)*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 1770?\nAnswer: 65490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -264.29 + 258.29. Is t <= 0.0991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 4.5\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 797\nAnswer: 4\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -369*r**3*s**2 + 52*r**3 - 4*r**2*s**2 + 37*r**2 + r + 3339*s + 841 with respect to s.\nAnswer: -738*r**3*s - 8*r**2*s + 3339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*c**2 + 429420 - 429420.\nAnswer: -1117*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63.7 + -2.7. Let g = -0.262 - 60.538. Let h = w + g. Sort h, -1, -2\/7, -1\/4 in increasing order.\nAnswer: -1, -2\/7, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 3. Give s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1066*m + 1048*m + 71118. Calculate the smallest common multiple of 4829 and m.\nAnswer: 43461","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - 1*(sqrt(19) + 2))*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 17.0351.\nAnswer: -51.1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -2 (b) 4 (c) 0.2 (d) -5133 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15772 is divided by 278?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 229*g - 393*g + 178*g.\nAnswer: 2*g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*b**2 - 15 + 12*b**2 + 143*b**2 - 52*b**2.\nAnswer: 73*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9838 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00996833219 rounded to 5 dps?\nAnswer: -0.00997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(180) + 1) + sqrt(180))**2 - (sqrt(180) + sqrt(180) + (2*sqrt(180)*-2)**2 + sqrt(180) - sqrt(180)).\nAnswer: -1244 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-4\/5))\/y**(2\/7))**(-49))**(6\/5) assuming y is positive.\nAnswer: y**(-1344\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 5*n - 2. Let w be u(5). Let q = -38 - w. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 259944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1715494*k**2 + 2*k - 1712345.\nAnswer: 3430988*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j - 5. Let y = -8 + 7.7. Put 0.1, j, y in descending order.\nAnswer: j, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11468 a factor of 1496414917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 21. What is o(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 - 1.9. Let t = 41\/14790 + -99301003\/340170. Let s = 292 + t. Which is the second smallest value? (a) d (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*o + 107*o = 2. Suppose -d + 12 = 3*d + 4*l, -o*l = d + 1. Calculate the remainder when 24 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -91\/8, 1, -0.62 in increasing order.\nAnswer: -91\/8, -5, -1, -0.62, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-38))\/(204\/1938)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/372 in 6, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20736 divided by -12?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151440?\nAnswer: 2, 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = 4*q - q, 2*p + 5*q = -13. Suppose -p = 6*o + 5. Sort o, -4, -2 in ascending order.\nAnswer: -4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -8 + (-90)\/(-15). Let k(d) be the third derivative of p*d**5 + 0*d + 9*d**2 + 0*d**3 + 0 - 1\/2*d**6 + 0*d**4 + 1\/42*d**7. Factor k(r).\nAnswer: 5*r**2*(r - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4\/3 + 164*r**3\/3 - 1108*r**2\/3 + 940*r\/3 = 0.\nAnswer: -47, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3 - 612980328*f**2 = 0 for f.\nAnswer: 0, 204326776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3713760?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (-2 - -2) + -19. Let f(m) = 0 + 8*m + 20*m**2 + 0 - 11*m**2 + 8*m**3. Let b be 6 - 3 - 7\/7. Let x(o) = o**3 + o**2 + o. What is b*f(v) + l*x(v)?\nAnswer: -2*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 14*s**2 - 11*s - 19. Let g(i) = -i**3 - 15*i**2 + 37*i + 64. Let b be g(-17). Let d be (-5 + 5 - b)*-1. What is k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7695, -30632, -68941, -122688, -191939, -276760?\n\"Answer: -11*k**3 - 7620*k**2 - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-2)\/(-6)))\/((-12)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*m**4 - 204*m + 1 wrt m.\nAnswer: -732*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**3 + 9*c**3 - 8*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -23*u + 12. Solve -4*g + 1 = 4*m + 13, 3*g + u*m + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, t: 13}. Give prob of picking 2 e.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -109, -194, -301, -430, -581?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25134 + -1004?\nAnswer: -30142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27183 is divided by 13561.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1908 is divided by 785?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((13 - -15) + 15) - -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or 278?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11972, -23939, -35904, -47867, -59828?\nAnswer: -71787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3.5. Let t = 6 - 5.1. Let n = z - t. Which is the nearest to 0.1? (a) -3 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -27 - (-1 - -5) - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -4*n**4\/3 + 5*n**3\/6 + 541*n**2 + 101*n + 3. What is the derivative of v(z) wrt z?\nAnswer: -32*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8048?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koetbeooob. What is prob of sequence to?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 206552199*x**3 + 1123712 wrt x?\nAnswer: 619656597*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.65 - 0.625. Round v to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 29570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14979481 is divided by 67475?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from {m: 5, c: 11}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2332829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 94449420 divided by 1086\nAnswer: 86970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppye when four letters picked without replacement from {y: 1, p: 4, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**5\/60 - z**3\/3 - 26*z. Let l(o) be the second derivative of g(o). Let r(a) = 25*a. Calculate l(r(y)).\nAnswer: -50*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4664*q + 1. Let p(k) = 1247*k. Determine i(p(l)).\nAnswer: 5816008*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(18)*6) + (2 + sqrt(2))**2 + -1 + (sqrt(2) - -3*sqrt(2)*-3)*-2.\nAnswer: 3*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/6 + (-1)\/3. Suppose y = 2*d - 4*d. Let p(f) = -f**3 - 4*f + 1. Is 17 a factor of p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-910)\/(-26)*(22\/77)\/((-10)\/14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 20. What is the second smallest value in 0.2, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 w when four letters picked without replacement from wxrnnnnw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 43 = 5*w, -5*w = -2*n + 112 - 154. Let h(a) = -a**3 - a**2 + 5. Let t be h(0). Suppose -w*v + 2361 = -t*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -43*y + 263. Let o be w(6). Solve -o*x - 69 = -79 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 31 = -4*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 75*l**2 - l + 75.\nAnswer: (l - 75)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2. Let l(f) = -5*f**2 - 4*f + 4. Let d(v) = -12*v**2 - 9*v + 9. Let y(c) = 4*d(c) - 9*l(c). Calculate y(k(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 10*j - 4. Let d be q(-6). Suppose 6*f + 360 = 12*f. Calculate the highest common divisor of f and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581854\/73531 + (-9 - (1 - 2)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 30*y + 1090 = 4*n, y - 2 = 0. What is the greatest common divisor of n and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -88.5. Which is the third biggest value? (a) -0.01 (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 610748, 610924, 611100, 611276, 611452, 611628?\nAnswer: 611804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 489670, 979492, 1469314, 1959136, 2448958, 2938780?\nAnswer: 3428602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -30. Let t = o - -57.6. Let l = -4.7 + 0.7. Which is the closest to t? (a) l (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1. Let m = h - -7. Let v = m + -6.35. What is v rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bxxxxbbbxxbbx. What is prob of picking 4 x?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7894.8565 rounded to the nearest one hundred?\nAnswer: -7900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 16*j**2. Let d(s) = s**2. Let v(q) = -a(q) + 20*d(q). Let u(b) = -98*b - 168. Let x(n) = 18*n + 30. Let k(p) = 5*u(p) + 28*x(p). Determine v(k(l)).\nAnswer: 784*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -38, -87, -148, -221, -306?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 18*s = -36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/3 - 14*g**2\/3 + 16*g\/3 + 32\/3 = 0. What is g?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x - 2 = 3*o, 10 = 3*o + 2*x. Suppose -2*f - o*v + 11 = -1, 3*v = 5*f - 30. Solve 3*j - f = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/13 (b) -0.5 (c) -0.4 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.15 + 9. Let i = f - -0.150063. What is i rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-24))**41 assuming x is positive.\nAnswer: x**(-984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l**3 - 32*l**2 + 26*l - 1144. Let k(a) = 2*a**3 - 6*a**2 + 5*a - 229. What is -11*k(o) + 2*v(o)?\nAnswer: 2*o**3 + 2*o**2 - 3*o + 231","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.38 + -0.4?\nAnswer: -19.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186.7175 hours to microseconds.\nAnswer: 672183000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 33*s\/2 + 34.\nAnswer: -(s - 68)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-13\/2)\/((n**(-5)\/n)\/n)*((n\/(n*n**(2\/7)))\/n)**(-1\/19))**(-8\/5) assuming n is positive.\nAnswer: n**(-604\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -4*p - 4*u + 52, -p + 4 = -4*u. Let y = 13 + p. What is the remainder when y is divided by 9 - (66\/297 + 7\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**7\/2940 + o**6\/1260 - o**5\/210 - 5*o**3\/6 + 2*o**2. Let q(k) be the first derivative of g(k). What is u in q(u) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 754*n**3\/7 + 748*n**2\/7 - 1514*n\/7 + 12\/7 = 0. What is n?\nAnswer: -2, 3\/377, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6734 and 95641?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1282834?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -34*z - 6. Is 20 a factor of j(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 - 1050 - 735 - 49*n.\nAnswer: -49*n - 2041","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b1 (base 12) to base 13.\nAnswer: 158b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/84 and -93\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*c = 201*c, -3*m = 4*c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227 - 104. Let l = -117 + u. Solve 0 = -c + l - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*d = 4*d + 4, 5*d = -5*s + 5. What is the second derivative of -32*a - 2 + 24*a + s - 14*a**4 wrt a?\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**3 - h + 1. Let u be c(1). Let p(q) = -q**2 - 3*q + 2. Let m be p(u). Suppose -i - 6 = -m*i. Calculate the least common multiple of 20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 3*q + 1. Let t be (-9)\/(-12) - 26\/(-8). Let r = t - 8. What is b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -67*i**6\/40 - i**5\/20 - i**4\/24 - 21*i**2\/2 - 8. Let o(n) be the second derivative of p(n). Is o(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**2 - 4*u**2 - 11*u**2 - 39*u**2 + 66*u**2 - 4*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, -5, 547, 27, 0 in decreasing order.\nAnswer: 547, 27, 12, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-66)\/(-368))\/(345\/1564) + (-62)\/(-713)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938 = -4*x - 11*u - 84*u, 4*u + 1179 - 1139 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from jlljlqlladjldllll?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2)\/(-4*(-12)\/64).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 786 (b) 25 (c) 2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15521227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*d - 20. Which is greater: d or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (35 - 12)\/(1\/1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1585.185 to zero decimal places.\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979974.\nAnswer: 2, 3, 54443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/47 - -76\/423. Let d = -0.1 - 0. Which is the closest to 1? (a) r (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -12. Suppose -f*v - 5*p = -35, -3*v + 17 + 0 = 2*p. What is the closest to 2\/3 in 2, -1\/7, v?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 5*w**2 - 7*w - 3. Let b be l(8). Let n = b - 95. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 716, 819, 922?\n\"Answer: 103*k + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*r - 47*r = 7 + 51. Calculate the remainder when 7126 is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340284777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.284 - 1.156. Let g = y - -1.44. Which is the closest to g? (a) -0.3 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -983900 * -0.139\nAnswer: 136762.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478733783.\nAnswer: 3, 492911261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 42*u**2 + 2 - 6*u**2 - 2. Let k(d) = d**2. Determine 66*k(s) - 2*t(s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:06 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 66158, 132861, 199564?\n\"Answer: 66703*o - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = -29*w - 1 + 1. Which is bigger: w or 25\/51?\nAnswer: 25\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v. Suppose 1452*x + 156 = 1426*x. Let i(o) = -5*o**3 + o**2 + 6*o. What is x*s(p) + i(p)?\nAnswer: p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 79 - 7 = 0. Suppose d - 26 = 5*k. Suppose -a + 36 = 2*o - 4*a, -2*o = -a - 28. Calculate the highest common factor of k and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, 10, -2, 4\/99, 2 in descending order.\nAnswer: 10, 2, 1\/7, 4\/99, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(sqrt(468) + 2 - sqrt(468)) - -2*(-1 + sqrt(468) + -3 + sqrt(468) + sqrt(468)))**2.\nAnswer: -1224*sqrt(13) + 17137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g. Let f be (-6)\/(-9) + (-17)\/3. Let d = -43.2 + 39.2. What is the smallest value in g, d, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444*l = -157054 - 213029 + 15771. Calculate the greatest common factor of 138 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12*y = 512. Suppose 3*h + 41 = -4*l + 233, -h - l = -y. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1 - 5 = 0. Let g(p) = 314307*p - 314193. Calculate the remainder when g(1) is divided by w*((-87)\/(-2))\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*l**2 + 49*l + 7 + l**4 - 15*l - 11 + 4 wrt l.\nAnswer: 12*l**2 - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/30 - 10\/75. Let q = -3 + 0. Let w = o + q. Is -1\/4 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.95 + 11.55. Which is the nearest to -0.1? (a) 1\/6 (b) -4\/31 (c) 0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56 - -62. Let x be -2 - (-3)\/((-3)\/(-2)). Solve r = -x*l - 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4750 by 2375.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 63. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9100\/11 - 5232467\/6325. Let z = f + -25381\/15525. Find the common denominator of (-451)\/72 + (-4)\/(-18) and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/10)\/(10\/(-100)). Suppose -4*c - 1 + 9 = 4*v, -2*v + c = -x. Solve 2*z = -z - 2*f - 5, 0 = -v*f - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 107?\nAnswer: -7\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 10*a + 6. Suppose -3*s - 12 - 3 = -3*d, 2*s = -4*d - 28. Calculate the lowest common multiple of k(s) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g**2 - 51*g - 39. Is x(8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 1042926882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1660957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 20*r**2 - 2*r + 13. Does 17 divide q(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292356000 rounded to the nearest 1000000?\nAnswer: -292000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-87)\/(-10))\/((-12)\/5235). Let s = 3783 + p. Find the common denominator of s and 13\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -537920*a**3 + 2148400*a**2 + 13115*a + 20.\nAnswer: -5*(a - 4)*(328*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 - 2882*g + 2881 = 0.\nAnswer: 1, 2881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8 - 2850*m**2 + 5.\nAnswer: -2850*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.13, 2\/13, -15, -0.138, 2\/17?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 186cca0?\nAnswer: 186cc9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14923*b**5 - b**2 + 128162*b + 1 wrt b?\nAnswer: -895380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 4*v**2 + v - 4. Let n be o(-2). Let r be (2 - 3)\/((-39)\/26). Sort n, r, -2\/65.\nAnswer: -2\/65, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -20 (b) -3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/22, -37, 2\/13, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*(-21)\/66*(-288)\/(-168).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5578293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6129 + 6093. Which is greater: -3.01 or m?\nAnswer: -3.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*r - 25, 0*r + 29 = 3*y - 5*r. Suppose 0 = -5*b - 25, 5*b - y = 2*a + 52. List the prime factors of (16\/a)\/((-1)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 11*x + x)*(-5 + 3 + 3) + (2*x - 4*x + x)*(1 + 2 - 4).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = n + 26, -3*n + 31 = 4*h - 21. Let i(w) = 2*w + h*w + w**2 + 2*w**2 - 2*w**2. Let d be i(9). What is the highest common factor of 27 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6.97, 0.3, -1, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from uhqvqozhovhovzzh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 32*v**2 + 15*v - 36. Is k(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/114679392 and 83\/157684164.\nAnswer: 1261473312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(76))**2*-4 + ((sqrt(190)*-2 + sqrt(190))\/sqrt(10) + 1*sqrt(19)*4)**2 + 1.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a microgram in nanograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14877.476 to the nearest ten.\nAnswer: -14880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1138950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100312031 (base 4) to base 6\nAnswer: 1251245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*l + 4491 + 909 = 0 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -68, -104, -160, -242, -356?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (4 - (-3 + -4 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - k**4 - 3)*(-30 + 16 + 22) - 19*k**4 - 11*k + 18*k - 9*k.\nAnswer: -27*k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1255?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 8*x**2 + x - 3. Let b be z(8). Suppose -s = -b*w + 196, w - 4*w - 2*s + 128 = 0. Suppose -4*u = -5*u + w. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.78078 centuries in decades?\nAnswer: 877.8078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4431, -9310, -14189, -19068, -23947?\nAnswer: -28826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 2)*(-3*m**2 + 3*m**2 - 2*m**2 + (-4*m + 7*m - 2*m)*(4 - 4 - 2*m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -528, 2\/7 in increasing order.\nAnswer: -528, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.258458 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.043, 0.2, -2.85, -3\/2 in increasing order.\nAnswer: -2.85, -3\/2, -0.043, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 739.9 + -744.857. Round h to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2110211202?\nAnswer: 2110211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*l + 771 = 1520 + 1924 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 17*x + 17*x - 1 + 5.\nAnswer: -x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -18, 5 in increasing order.\nAnswer: -18, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2\/3 - 6957244*w\/3 + 13914464 = 0.\nAnswer: 6, 3478616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-560)\/640)\/((-7)\/4)*-38.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 110*a**3 - 6*a**2 + 6*a. Calculate the remainder when 1857 is divided by g(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-13 - (-22 - (-16 - -2)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 40\/3*z**3 + 6*z + 7\/5*z**5 + 23\/3*z**4 + 8*z**2 + 5. Let h(c) be the first derivative of x(c). Determine n so that h(n) = 0.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f86b1 (base 16) in base 5?\nAnswer: -2031210444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1369 = 7*x - 227. What is the units digit of x\/(-8)*2\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 299, -4 in increasing order.\nAnswer: -14, -4, 5, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(91)\/sqrt(63)*-4.\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -13*j**3 - 2*j - 2. Let l(t) be the third derivative of -13*t**6\/20 - 13*t**4\/24 - 13*t**3\/6 - 2506*t**2. Give 26*h(m) - 4*l(m).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 548\/61?\nAnswer: 548\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -34. Suppose 3*v = -2*v + 5, -3*o + 2*v + t = 0. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1316\/(-3102))\/(330\/27225)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -32*s - 276. Let n be (0\/(-1))\/3 - -17. Suppose -2*z + n + 19 = 0. Calculate the smallest common multiple of z and f(-10).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 - a**2 + 2*a**2 + (1 - 1 - a)*(2*a - a - 3*a) + ((3 - 6 + 2)*(3*a - 3*a + a) - 30 + 30 - 2*a)*(60*a + 2308 - 2308).\nAnswer: -176*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**3)*y**(2\/11)*y*y)**(-2\/31) assuming y is positive.\nAnswer: y**(18\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 444\/(-36) - (10\/(-37 + 7) + 1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 - (18 + -4 - 11)) + -5 + 9?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30113272 and 93562?\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4318 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*3\/2. Let t(m) = 7*m**3 + 4*m**2. Let r(g) = -g**3 - g**2 + g. Let u(p) = j*t(p) - 4*r(p). Find the second derivative of u(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -24 + 32 + (-6 - -9 - -2)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-379 - -372) + (5 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135532 and 496?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 - -9.87. Which is the nearest to 0? (a) -1 (b) q (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2) + 21\/23. Let z = -3147 - -1968. Let n = z - -1176. Sort a, -5, n, -0.2.\nAnswer: -5, n, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i - 3*i + 7*i - 5 - 8*i. Determine j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*x - 41 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783166338 divided by 26937.\nAnswer: -29074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:36 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - 6*c**4 + 4*c**4 + (-c**2 + 1 - 1)*(2*c**2 - 6*c**2 + 0*c**2).\nAnswer: 3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 12*l**4 + 23*l**3 - 89*l**2 + 73*l - 16. Let s(k) = -k**3 - k**2 + k. Let g(h) = r(h) + 3*s(h). Determine n so that g(n) = 0.\nAnswer: -4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21 + -1 + (-1)\/(-1). Suppose 0 = -0*v + 3*v + 36. Let x = o - v. Is x a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:52 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3950*y + 4999 = -10801. Let b(q) = 167*q + 1. Let w be b(3). Sort y, w, -5 in descending order.\nAnswer: w, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(2) + sqrt(288)*-2))\/((sqrt(98)\/sqrt(7)*2)\/sqrt(7)).\nAnswer: -sqrt(7)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17427729959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(1 + -2 + 2). Suppose 166 = 4*i + 4*z - 14, 2*i = 3*z + 65. What is the highest common factor of b and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*q - 151*q - 186*q + q**2)*(3*q**2 - 28*q**2 + 8*q**2).\nAnswer: -17*q**4 + 6171*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 1. Let a(u) be the first derivative of -1\/3*u**3 + 2*u + 0*u**2 - 1. Let p(j) = -3*a(j) - 5*v(j). Differentiate p(q) wrt q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4*m + 273 = 269, 0 = -m - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(-4*(sqrt(10)*-1 - sqrt(10))))\/(sqrt(64)\/(sqrt(8)*1) - 1*sqrt(200)).\nAnswer: -sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15255323 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d**3 + 147*d**3 - 86*d**3.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 273*z - 3134. Calculate p(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -5\/6*q**3 + 6*q + 0 + 1\/2*q**2. Let k(b) be the second derivative of -2*b**3\/3 + b**2\/2 + 3*b. Calculate -3*k(w) + 2*z(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 768 = 5*k, -2*k + 3*k + 384 = 2*t. List the prime factors of t\/9*15\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/(-92) - ((-13)\/20)\/1. What is the third smallest value in -0.3, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/337285 and 38\/1781.\nAnswer: 46208045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 258924817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17085 and 278035?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2988202, -2988218, -2988234?\n\"Answer: -16*u - 2988186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80898723 is divided by 5330?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1493715 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m + 36. Let d be n(-10). Let g(h) = 65*h - 35. Let l(x) = 11*x - 6. Determine d*g(r) - 35*l(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1539075 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 13 + 22 - w + 2*w - 7. Let o be j(-15). Let f = -22 + o. Is -9 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v**3 - 2*v**2 + 5*v - 6. Let i(c) = -20*c**3 + 3*c**2 - 10*c + 12. Let x(m) = 9*b(m) + 4*i(m). Calculate x(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(91)*-1)\/(-1*sqrt(112) + sqrt(7)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 8. Let f = 1 + 5. Let p be w(f). Suppose 0 = -2*q - 8, q = -n - p*n + 571. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 3:03 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1365, -2187, -2995, -3783, -4545, -5275, -5967?\nAnswer: -6615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 7:41 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000177344 rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11200212211222 (base 3) to base 7\nAnswer: 30141116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r - 9. Let c = -68 - -72. Let a be (-1)\/c - (0 + 3\/(-12)). Let p be l(a). Let x(n) = n + 13. Give x(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/33 + -2\/33. Put -3, -153, g, -0.5 in decreasing order.\nAnswer: g, -0.5, -3, -153","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 612430 times -21\nAnswer: -12861030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11644977\/7 + -1660081. Let t = z - 781701\/224. Find the common denominator of t and -33\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/30 and 7\/11715.\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -9, 0.\nAnswer: -9, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 873*t**2 - 302*t**4 + 2*t**3 + 750*t**2 - 511*t**4 + 231*t**2 - 153*t**2 wrt t.\nAnswer: -19512*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-2)*k)\/k*k**(-2)\/k)\/((k\/(k\/(k*((k**2*k)\/k)\/k*k)))\/(k**(-4)*k)))**(-20) assuming k is positive.\nAnswer: k**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 15*k = -13*k + 582, -5*k = -96 + 111 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4323*a**4 - a**3 - 3*a**2 + 44143 wrt a?\nAnswer: 17292*a**3 - 3*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/261 and -33\/98306.\nAnswer: 25657866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.404 - 28.504. Which is the closest to 0.1? (a) -4\/3 (b) k (c) -2\/153\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -48 - 12. Let x = 26 - 41. Let q = c - x. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 1262848424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11061 (base 8) in base 5?\nAnswer: 122112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38502 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2 + 3*m + 2. Let q be h(-1). Solve -3*k = 3*o - 30, -k - q + 6 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/14 - -29\/70. Let w(m) = -m - 2. Let q be w(-5). What is the third smallest value in q, 0.5, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n**2 + n)*((-5*n + 6*n + 0*n)*(-1 - 2 + 1) - 215 + 215 - 16*n - 20*n - 87 + 87) - 2*n**3 - 2*n**3 + 2*n**3.\nAnswer: 74*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i**2 + i. Let h be q(1). Let u(f) = -f**2 + 8*f - 11. Let s be u(8). Let x = -20 - s. Is h at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23719 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(2*sqrt(2) + sqrt(2)))**2*-5.\nAnswer: -220\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/2*(-480)\/84. Let x be (18\/81)\/(s\/6). Let c = -1884 - -1885. Do c and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12549 + -150481\/12. Let v = -25\/531 + -8779\/9027. Find the common denominator of x and v.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from {x: 6, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times 19540.507\nAnswer: -1367.83549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21*s**3 - 3*s**2 - 4*s + 6. Let j(w) = w**3 - 4 - 3*w**3 + w + 3 + 3*w**3. Let c(d) = j(d) - m(d). Is c(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/4)\/m)\/m)**24*m**(-1\/4)\/m**(-6))\/(((m*m*m**(-6)*m*m)\/m**(2\/7))\/(m**0)**(5\/16)) assuming m is positive.\nAnswer: m**(-615\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32628.\nAnswer: 2, 3, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 + 3*c - 3. Let w be v(3). Let a(f) = 27 - 9 - w + 3*f. Let z(s) = -7*s - 7. Calculate -5*a(b) - 2*z(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r = -o + 173, -5*o - 155 = -5*r. Let g be 148\/(-185) - r\/(-55). What is the nearest to g in -1\/6, 0.2, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 + 15*i**3 - 15*i**2 - 15*i + 18 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52621 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6273.5 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 188.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -239885?\nAnswer: -239885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, d: 13, k: 1}. Give prob of sequence khh.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 9:23 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 2 = 0. Find the common denominator of n and (6\/45)\/(48\/40*(-50)\/(-495)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.607 + 0.057. Let d = -14.45 + n. Sort d, 5, -4 in descending order.\nAnswer: 5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) 4\/5 (c) 3 (d) -49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -47*p + 1554. Calculate y(34).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by -10965?\nAnswer: 199\/10965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1154063838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 - 123*j**2 + 333*j**2 to d*j**2 + l + s*j and give d.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppkpkppkppppp.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 2)*(-2*v + 3*v + 0*v) + 3*v + 2*v - v)*(14 - 14 - 8*v) in the form t*v**2 + o*v + w and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 11:17 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = -w. Solve -2*y - 3*y + w = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 - 3*z - 4. Let m be 3 + (-1 + -4)\/(-1). Suppose 0 = -2*w + 7*c - 3*c + m, 3*w - 12 = 5*c. Calculate x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(5500)*-3)\/(-5*(sqrt(1584) + sqrt(1584) + (sqrt(1584)*2 - sqrt(1584)) + sqrt(1584))*5))**2.\nAnswer: 1\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, d: 1, x: 1, y: 1, l: 1}. What is prob of picking 1 d and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(42)\/sqrt(3) - (sqrt(56)\/sqrt(4)*3 + sqrt(14)))*2)\/((sqrt(240)\/(sqrt(12) + (sqrt(12) - sqrt(48) - sqrt(12))))\/(4*(sqrt(10) - sqrt(160)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 16 = -12*s + i, -s + 3*i + 4 = 0. Suppose 3*f - 2*c = 11, 3*f + 4*c = c + 6. Sort -1, s, f, 8 in decreasing order.\nAnswer: 8, s, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 14 - 3 + 14*w**3 - 14*w - 23 - 20*w**2. Let s(n) = 5*n**3 - 7*n**2 - 5*n - 4. Let v(d) = -4*h(d) + 11*s(d). Calculate v(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 112 = -28*p. Let h(l) = l**3 + 3*l**2 - 5*l - 3. Let q be h(p). Let t = -1 + -2. Which is the third biggest value? (a) -5 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*d - 11, -4*f = 4*d - d - 5. Let c = -3 + 9. Is 4306*(f + c\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7502*s**5\/13 + 24530*s**4\/13 + 25274*s**3\/13 + 3566*s**2\/13 - 8080*s\/13 - 3400\/13 = 0. What is s?\nAnswer: -1, -10\/11, 17\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40849.\nAnswer: 40849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4451304 and 4576.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jggrgggghhlhhjrg. What is prob of picking 1 r and 2 j?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 4 - 2*a - 5 + 0 - a**2. Give v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + k - 6*k - 36, 2*w + 2*k - 18 = 0. What are the prime factors of -615*((-87)\/w - -8)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16475 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 - 229*j + 111. Determine y(-74).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 5*i**2 - 2*i - 6. Let a be t(-5). Suppose r = a*r + 12. Let c = 13 + r. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*k = 5*n, -4*n - 2*k = 0. Let q(w) be the third derivative of n*w**3 + 0*w + 0*w**4 + 1\/15*w**5 - 2*w**2 + 0. Let t(r) = -r**2. What is t(q(h))?\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 464900 and 1255.\nAnswer: 116689900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402389 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) -2 (b) -0.02 (c) -0.4 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcku when four letters picked without replacement from ckfqcckudkccc.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2 + 910*b + 3672 = 0?\nAnswer: -4, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 + 23*o + 1554. Let c(l) = l**2 - 4*l - 2. Calculate 6*c(h) + w(h).\nAnswer: h**2 - h + 1542","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17843136 to the power of 1\/2, to the nearest integer?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1421)\/(-315) - -35*4\/(-126).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 998.631 times 115\nAnswer: 114842.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -64, -135, -244, -403, -624, -919, -1300?\nAnswer: -1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -47, 176, 18, 68 in descending order.\nAnswer: 176, 68, 18, 5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3909 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-2))\/(3248\/(-5568)). What is the nearest to 2 in m, -1\/6, -1\/4, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((217\/220 - 1)*-4)\/(272\/8160)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 344*v - 1312.\nAnswer: -4*(v + 4)*(v + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 719013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 greater than -590\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 1068520?\nAnswer: 11753720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.955 rounded to one dp?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1370?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkykykkkk. Give prob of sequence yk.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15682 + 16515. What is the greatest common factor of 459 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b - 11. Let z be c(6). Suppose 2*u + 925 = z*u. Suppose -5*x + l + u = -4*l, l + 160 = 4*x. What is the remainder when x is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 223, 502, 789, 1090, 1411?\n\"Answer: n**3 - 2*n**2 + 278*n - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 16 = 3*r + 1, 19 = -b - 4*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 14881416 + 14881136 = 0 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4397, -5705, -7013?\nAnswer: -8321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 158.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*a**5 + 34*a**5 + 225*a**5 + (3*a**2 - a**2 - 4*a**2)*(-3*a**3 + 4*a**3 + 0*a**3).\nAnswer: 206*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffafaffafaaffaafaa. What is prob of sequence aaf?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -14 - (2 + 7 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-14)*10\/(-5) + 16524\/252. Solve -5*a = -25, 23 = -2*s + b*a - 61*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 20*g - 21*g, -26724 = -3*d + 5*g. List the prime factors of d.\nAnswer: 3, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5853536 divided by 100\nAnswer: -1463384\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175259.7ug to kilograms.\nAnswer: 0.0001752597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -580*k + 341*k + 6076*k.\nAnswer: 5837*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43387 is divided by 6866.\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) 4 (c) 74 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.8 + 1.2. Let r = -31 + p. Let w = -29.6 - r. Round w to 0 decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 4764?\nAnswer: -4762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k. Let l(q) = -3*q + 2. Suppose 0*t = -2*n + 3*t - 7, 5*n + 5 = -5*t. Let a(g) = -g + 1. Let j(w) = n*l(w) + 4*a(w). Give j(f(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 3*k - 4. Determine t(20).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 34 = h, -7*h + 124 = -3*h + 2*c. What is the greatest common divisor of h and 1910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x - 65. Suppose 125 = 5*w - x. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40149?\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2736) + 4 + -4 + (sqrt(684)*-2 - sqrt(684)).\nAnswer: -6*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((5*(-1*sqrt(171) - sqrt(171)) - sqrt(171) - (sqrt(171)*1*2 + sqrt(171) - sqrt(171)))\/(2*sqrt(441) + sqrt(1089)*-2 + sqrt(9)))**2 + -1.\nAnswer: 3162\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 9. Let i(h) = -3*h + 69. Let k be i(-2). Let p = -80 + k. Calculate d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 78*b - 122. Let q be p(21). Solve -8*g - q = -7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-559)\/547 + 4 + -3. Let o = 3726\/20239 + r. Let s = -55\/111 + o. Put s, -4, -9, 0.3 in ascending order.\nAnswer: -9, -4, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375 - -382. Let g be 7*(x\/((-98)\/(-64)) + -4). Solve z - 2 = 2*k - g, -2*k = -3*z - 10 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**2 - 23407074*c - 136972778310369 = 0. Calculate c.\nAnswer: -11703537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(252)*-2)\/sqrt(7))\/((sqrt(120)*-2*-2 + sqrt(120))\/(sqrt(90) - (sqrt(90) - (sqrt(90) + 1*sqrt(90) + sqrt(90))))).\nAnswer: -108*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4\/3 - 8*a**3\/9 + a**2\/3 + 4*a\/3 - 4\/9 = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q - 7*q. Suppose 7\/5*u**5 + 0*u + 0*u**2 - 9\/5*u**4 + 2\/5*u**3 + q = 0. Calculate u.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134555 - 94668. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (416\/2)\/2 + 1. Let w = -11 - -77. Suppose -4*m = 3*b - w + 21, 4*b + 80 = 4*m. What is the greatest common divisor of m and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + (sqrt(11) + sqrt(11) + sqrt(11)*-1)*-2*-6 + sqrt(484)\/(sqrt(99)\/(sqrt(27)\/sqrt(3)))))**2.\nAnswer: -504*sqrt(11) + 19440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -53*d**6\/60 + d**5\/60 - d**4\/24 - d**3\/2 + 3*d**2 - 59. Does 11 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/12 + 28*z. Let v(g) = 3*g**2 + 3. What is -4*h(y) + v(y)?\nAnswer: -y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1103865740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33d328 - 4?\nAnswer: -33d32c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4165606 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/36*-15 - 5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5202.447 litres?\nAnswer: 5202447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/(5 - 41\/4) and -113\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513 - 42*u**3 + 512 - 2104 + 33*u**3 + 558 + 521.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.22 or 1\/30?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14 + 3 + -1 + -3. Let d = -28 - x. Let w be ((-12)\/(-2))\/((-2)\/d). What is the highest common divisor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 36*z - 7. Let x be g(1). Let b = 34 - x. Suppose -12 = b*r - 3*i, -2 = -5*r - 3*i + 10. Solve 31 = 3*y + 4*s, r = y - 0*y - s - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxxvyynkxykx. Give prob of picking 1 k, 1 x, and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 30775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 8*h + 5. Let n = 1 - 5. What are the prime factors of f(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 2*i**5 + 16*i + 28. What is the derivative of p(u) wrt u?\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 948294.87 rounded to the nearest ten thousand?\nAnswer: 950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 2*f + 14, 3*f = 5 + 4. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -111010551?\nAnswer: 111010550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 7, n: 3, y: 1, s: 1}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*a + 15 = 0, -x + 5*a - 4 + 15 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 624*b**2 + 2457*b + 1836.\nAnswer: 3*(b + 1)*(b + 3)*(b + 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*o**5 + 2*o + 456 wrt o.\nAnswer: 1760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1550113786?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -380 - -468. What is the greatest common divisor of g and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 3 (b) 0.3 (c) 0.63 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2469.96 + 2470. What is the nearest to 0 in q, 4, 3, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/b**(-1\/3)*(b\/(b\/(b**(-2\/5)\/b)))**(2\/99))\/((b**(-1))**(1\/63)*((b**(-2\/5)*b)\/b)**46) assuming b is positive.\nAnswer: b**(78728\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3*n + 3*l**3 - 4*l**2*n - 802*l**2 + 4*l*n - 4*l + 1524*n wrt l.\nAnswer: 6*l*n + 18*l - 8*n - 1604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -623, -1697, -3227, -5213, -7655?\nAnswer: -10553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-24)\/9)*(-2)\/2.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 = -21. Let r(u) = -u - 1. Calculate r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, u: 4, d: 2, p: 2, h: 3}. What is prob of picking 2 q and 1 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 924 times -462\nAnswer: -426888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56689757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/6 + 2)*-10. Let p be (t\/((-40)\/3568))\/(-2). Which is smaller: p or 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -17 (b) 59 (c) 1\/4 (d) -27 (e) -0.7 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:44 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x**2 - 36*x. Suppose 0 = -16*o + 22 - 70. Let f be m(o). Solve 11 = 13*b - f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003310332 + 113?\nAnswer: -1003310213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 779.57 * -3\nAnswer: -2338.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -201411054 (base 6) in base 15?\nAnswer: -47dc5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 15) to base 16\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 46*s + 189. Calculate h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f. Let q(u) = -6*u - 13. Let t(n) = 13*n + 26. Let z(j) = 9*q(j) + 4*t(j). Let m(o) = -o - 6. Let h(v) = -13*m(v) + 6*z(v). Give h(y(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269411, 269409, 269407, 269405, 269403?\nAnswer: 269401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -5, 1031 in descending order.\nAnswer: 1031, 2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5\/5 + 46*c**4\/5 - 201*c**3\/5 + 278*c**2\/5 - 72*c\/5 = 0.\nAnswer: 0, 1\/3, 2, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -15*j**3 + 2*j**2 - 15*j + 38. Let s(h) = -7*h**3 + h**2 - 7*h + 19. Suppose -32 + 8 = 4*d. Let w(n) = d*i(n) + 13*s(n). Is w(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1.8\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0 + 0)*-3. Suppose 5 = k + l, -k - 4*l = l - 13. What is the second derivative of -2*q**3 + 9*q - 3*q**k - q**u wrt q?\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*m**2\/3 - 964888*m - 14473820\/3.\nAnswer: 4*(m + 5)*(5*m - 723691)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-88)\/14 + -1. Let b be (2\/6 - (-44)\/165)*-10. Is g at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71272 bigger than -356356\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 17. Let h be d(12). Let p(w) = 21*w**2 - 6*w. Let j be p(h). Let q be 69\/j - 1\/5. Are q and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -0*l + 3*l - 12, 3*y - 2*l = 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + 4205?\nAnswer: 4116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and -4.3746?\nAnswer: 4.3346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579067?\nAnswer: 359, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of c**2\/2 + 67*c - 3. Is j(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 39*j**3 - 9*j**3 - 12*j**3 + 0*j - 17*j**3 - 3*j. Determine s(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20\/3, 0.5, -2, -3 in increasing order.\nAnswer: -3, -2, 0.5, 20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4*n + 3*a, 41*n - 44*n + 5*a = -34 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 198, 407, 616, 825, 1034?\n\"Answer: 209*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3\/9 - 16*r**2\/9 + 8*r\/3 + 32 = 0.\nAnswer: -6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 59795 (b) -5 (c) -6\/11 (d) 5 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/7 - 23068*z\/7 - 66516578\/7 = 0. Calculate z.\nAnswer: -5767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/5587 and -79\/302.\nAnswer: 11174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -13 + 26*s + 5 + 19*s - 7*s. Let h be p(6). Let i = 2854\/13 - h. Is 1 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - 7. Suppose 0 = -5*x - 2*v + 1 + 2, -1 = -4*x - 3*v. Let m = -130.24 - -129.74. What is the closest to -0.1 in m, z, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 21*o + 12*o = 0. Solve q = 2*x + 5 + 7, -x + 4*q - 20 = o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 603? (a) -0.01 (b) -2\/13 (c) -4\/11 (d) 1\/6 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -326. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**7\/56 - g**5\/60 + 5*g**3\/6 + 16*g**2. Let z(m) be the first derivative of l(m). Find the second derivative of z(x) wrt x.\nAnswer: -90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1301 = 2*t - 3*j, t + j = -302 + 940. Is t a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14981 + 19553. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147 a factor of 83519952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -134\/3. Let q = -2.2 - -2. What is the third smallest value in z, q, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7482873 (base 9) to base 10\nAnswer: -4010943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10942650 by -24317.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**4*v**(-1\/10))**12)**(21\/5) assuming v is positive.\nAnswer: v**(7434\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 3. Suppose 22 - 7 = -5*z. Let r be (z\/26)\/((-12)\/(-16)). Put r, 5, y in increasing order.\nAnswer: y, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:08 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.4 + 46.8. What is the biggest value in 3, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 13. Let g = 1.1 + -0.1. Let h = -4 + 16\/5. Put h, q, g in increasing order.\nAnswer: h, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268 take away -0.9?\nAnswer: -267.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 21 - 83*r - 6 + 85*r to the form z + t*r**2 + f*r**3 + n*r and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 7*d - 17. List the prime factors of l(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 563 = 2*a, -3*w = 3*a - 6*a + 831. Suppose -5*y + a = 5*k, -197 = -4*k + y + 4*y. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + g + 1. Let u = 10 - 9. Let l(j) = j**2 + 4*j + 4. Give u*l(h) - 5*i(h).\nAnswer: -4*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - j**2 + j. Let n be -1*(0 + 2)\/(-2). Let y be m(n). Differentiate i + 0*i + y - 2 wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-7 + 34 - 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**4\/3 + 38156*d**3\/3 - 12718*d**2 = 0.\nAnswer: 0, 1, 19077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17288331 to the power of 1\/2, to the nearest integer?\nAnswer: 4158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*f - 55127 = -5*p + 16*f, -3*p + 33069 = 3*f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((2548\/21)\/(-13)))\/((-45)\/240).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5532196187 to the power of 1\/2, to the nearest integer?\nAnswer: 74379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(231)\/(sqrt(396)*-1))\/((3*sqrt(600))\/sqrt(8)).\nAnswer: -sqrt(7)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g - 11. Let r(h) = -8*h - 36. Let s(u) = 2*r(u) - 7*w(u). Suppose -8 = -2*c - j, -c + 32 = c - 5*j. Calculate s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -422, -0.1, 2, 1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**6\/120 + 2*d**5\/15 - 5*d**4\/24 - 2*d**2. Is y(7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 55*a - 12. Determine x(29).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u = 606. Let v = u + 9. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = -4*w - 4*k + 166, 0*w + k - 111 = -5*w for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7647 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usjgskaaggag. What is prob of sequence ga?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 45341656 + -25.1\nAnswer: 45341630.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92\/11 smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b**2\/3 + 11855*b\/6 - 76 = 0. Calculate b.\nAnswer: -456, 1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/(-4)*(18486\/24024)\/237?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -132*g - 238*g + 1477, -7*g + 3 - 4 = g - 6*g - 3*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 greater than or equal to 2\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -591184 - 106.\nAnswer: -591290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d + 1. Let y(c) = -c**2 + 2*c + 5. Let q be y(2). Let n be i(q). Calculate the greatest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -1109 + 1061 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*r - 0*r + 8, -2*r + 337 = 4*w + 269 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -197*d + 9552. What is f(44)?\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -274718, -274680, -274626, -274550, -274446?\n\"Answer: h**3 + 2*h**2 + 25*h - 274746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72.07 + -71.47. Let d = 0.2 - -0.3. What is the second smallest value in d, -0.2, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at most as big as 83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 56, 2, -30.6, 5 in increasing order.\nAnswer: -30.6, 1, 2, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-15))\/(8\/(-70)). Let c(i) = i**2 + 5*i - 3. Let m be 9\/(9\/2) - 7. Let k be c(m). Is s >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 682077797 to the nearest integer?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**7\/840 - v**6\/72 - v**5\/30 - v**4\/8 - 85*v**3\/6 - 63*v. Let n(t) be the second derivative of l(t). Determine n(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + ((sqrt(18)*2 - (sqrt(12)*-2)\/sqrt(6))*-5 - (6*(sqrt(18) + sqrt(72)))\/((sqrt(99)*2)\/sqrt(11))))*5)**2.\nAnswer: 4900*sqrt(2) + 120150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 + 44 + -8 + -11?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160347365?\nAnswer: 5, 19, 191, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 106 = -2*r - r, -r - 19 - 8 = a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 4*(sqrt(171)*2)**2)*-2 + ((-1 + sqrt(684) + ((sqrt(209)*-2 - sqrt(209)) + sqrt(209))\/sqrt(11))*-1)**2.\nAnswer: -14*sqrt(19) + 5777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1037 and 2562.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*v - 20 = -2*x, 0 = -2*x - 3*v - 2. Suppose 4*q + x*m + 2*m = 1936, -1456 = -3*q - m. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:33 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 p, and 1 j when three letters picked without replacement from {j: 2, f: 6, c: 2, p: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) 2 (c) -0.91 (d) 1 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-154)\/(-10) + (-16)\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 7. Let a be u(5). Suppose k + 7 = 3*b - 8, b - 21 = -5*k. Solve -3 = a*v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2361 = 4*l + 2368, 14*a - 3*l = 2*a + l + 20 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**20\/d)\/d)\/d)\/d*(d\/(d**(18\/11)*d))\/d*(d\/(d*d*d**(2\/31)))\/d**(10\/3) assuming d is positive.\nAnswer: d**(9172\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (59\/118)\/(20\/(-1080))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-52)\/8 - -3) + 5\/(-10). Let b(m) = -2*m**3 + 2*m**2 + 2*m - 3. Let j(l) = 6 + 0*l**2 + 2*l**3 - 2*l**2 - 9*l + 6*l - 2. Give r*b(s) - 3*j(s).\nAnswer: 2*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, v: 1, n: 2, z: 4}. Give prob of picking 2 z and 1 v.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 29 = r + 2*p, 0 = -4*r - 4*p + 68. Let t = 17 - r. Calculate the lowest common multiple of t and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.4. Let i = -1.9988 + -0.0012. What is the closest to 1 in i, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**2*n**2 + 57*h**2 - 2*h*n - 14*n**2 - n wrt h?\nAnswer: 6*n**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 19*f - 11. Let o be b(-18). Let j be 4*-1 + (-2 + 3)*o. Solve 4*w - d + j = -8, 4*w = -d - 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4620 is divided by (1938\/(-285))\/(2 + (-123)\/60)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**3 + 21*v**2 + v - 3. Let g(f) = f**3 + 4*f**2 + 2*f - 1. Let o(x) = -5*g(x) + t(x). Give o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03610373 - 0.1\nAnswer: -0.06389627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.881015870998 - -12.\nAnswer: -9.881015870998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2 - r + 1 - 1 - 3*r**2 - r**3. Let k be w(-3). Solve -3*i + 3*z = -0*z + 3, -k*i - 17 = z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 2*u + 2*u - 3*l, -4*u + 5*l = 35. Let f = -5 - u. Let s be (-13)\/11 - f\/(-55). Sort 0, -2, s in descending order.\nAnswer: 0, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18610 by -8.\nAnswer: -9305\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1799, -7184, -16161, -28736, -44915, -64704, -88109, -115136?\n\"Answer: -t**3 - 1790*t**2 - 8*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 5:22 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4525350 by 452535.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, x: 3}. Give prob of picking 3 y and 1 x.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 j, and 1 d when four letters picked without replacement from jbdjpdajdpdjjjj?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-3))\/((-3)\/3). Let r = -5.3 - -5. Which is the third biggest value? (a) 4 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p\/(p\/((p*p*p**(-7))\/p))*p)\/(p**(1\/5)*p*p**(5\/2)) assuming p is positive.\nAnswer: p**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301682147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 4, -11, 3, -4, -33, 0.39?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -114463 equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 756*v**4 - 1327?\nAnswer: 3024*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 414861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3803 divided by -6?\nAnswer: -3803\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/1*2*(-3)\/(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/120 + 3*a**3\/2 + 6*a + 3. Let g(f) be the second derivative of z(f). Let o(c) = 104*c. Determine o(g(y)).\nAnswer: -104*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*6.6256.\nAnswer: -1.98768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55499\/635 - 105) + (-36)\/(-10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 24. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 233474*o + 933928.\nAnswer: -2*(o - 4)*(o + 116741)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31126\/11 - 2834. Is j smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*b + b + 11, -r + 10 = 4*b. Let y = 46 - b. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1107*l + 12166. Determine j(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 66.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 12:55 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1061924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c. Let w be 0 + -6*(-4)\/6. Let y(b) = -9 + w*b - 2*b - 3*b. Determine x(y(k)).\nAnswer: 2*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 2079006090660401*o + 2079006090660401*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 278643665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15475a2 + -13?\nAnswer: 154758a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625600?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1008 by -36.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10713044.700057 + 10713050. Let s = -88.3 - -83. Let b = r + s. Round b to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c - 2*c)*(-3*c - 2*c + 4*c - 1 + 1 + 2*c + (0*c + c - 3*c)*(-2 - 2 + 2) + 4 - c - 4).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*s - 22*s - 43 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 837 and 3.\nAnswer: 2511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 475079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.065.\nAnswer: 0.0195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h - 236 = -932. Suppose h*l - 520099 = 6*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-11)*o)\/o)\/((o\/(((o\/(o*o**(-21)))\/o*o)\/o))\/o))**(-22\/9) assuming o is positive.\nAnswer: o**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 + 697*t + 3*t**2 - 699*t + 2. Let m be r(1). Suppose -513 = -m*w + 6*w. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1611 - d?\nAnswer: -c1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/22 and 146\/(-24) + (-2)\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53415.\nAnswer: 3, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5749575.9 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**2 + 0*u + 2*u - 12*u**2 + 370000 - 3*u. Let n be g(0). Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) - (sqrt(17) + (2 + sqrt(272) - sqrt(272))**2) - sqrt(17)).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*n - 160*n + 87*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 7 + 34 + o**3 - 7 + 2*o + 8*o**2 in the form y*o + q + x*o**2 + u*o**3 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 851 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 800603 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -80.285 + -10291.815. Let p = -10384.0974 - r. Let n = p - -12. What is n rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 24 = 2*j + 4*o, 0 = 3*j - 2*o - 41. What is the remainder when 23 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -23. Suppose -q*y = -135 - 130. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 3. Suppose -4*d + 3*w = -w - 44, 3*w = d - 15. Suppose -5*h + 2*h = -d. What is a(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11867*r**4 - 92958*r?\nAnswer: 142404*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-321)\/(-1)*(-13)\/(-156)*4. Suppose -113 = 2*r - q. Put r, -5, 16 in decreasing order.\nAnswer: 16, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-2 - (16 + -10 + (12 - -3)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + ((-4144)\/(-1000) - 5). Is d not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus 97626?\nAnswer: 97625.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 j, and 1 a when three letters picked without replacement from drjlead?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4164.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9271107l?\nAnswer: 927.1107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054262 is divided by 1105?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/4*13*(-6)\/(-10)*530\/159.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1008) + -2)*4 + 5 + -5)*-3)**2.\nAnswer: -6912*sqrt(7) + 145728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 6824*d + 1378*d**2 + 4 + 1416*d**2 - 2793*d**2 to c*d**2 + z + o*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f = -9. Let j be -4 + (4 + 0)\/(-1). What is the units digit of f\/(-36) - 242\/j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799 + 799 - 4218137*r**2.\nAnswer: -4218137*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -257746616376.\nAnswer: -257746616376.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4*k + 8 = 0, 0 = -2*w - 0*w - k + 6. Let t = -3.31 - -1.31. What is the nearest to 3\/4 in t, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = n - 2. Suppose 7*l + 83 + 407 = 0. What are the prime factors of n\/5 + (-3934)\/l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26 - (-6)\/(0 + 3). Suppose 3*p - k = -p - 2*i, 0 = p - 2*i + 3. Let n = p + -4. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6854 + -6850. Let f(g) be the first derivative of 0*g**5 + 0*g + 0*g**3 + 9\/2*g**2 - 1 + 0*g**b + 1\/3*g**6. Find the second derivative of f(t) wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 9:07 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, 242, 677, 1134, 1613?\nAnswer: 2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 + 39*l - 5. Give a(12).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjp when four letters picked without replacement from {p: 5, j: 11}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(66)\/sqrt(6) + sqrt(11))**2 + (-5 + sqrt(11))*-3 + sqrt(11) - (((sqrt(11) + sqrt(1100) + sqrt(11))*1)**2 + 5*(sqrt(11) + -2)).\nAnswer: -1514 - 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813.173t in micrograms?\nAnswer: 2813173000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 11132844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 10, r: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 greater than 1346\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -34. Suppose 2*x + 6 = 3*r + 2, y*x = 5*r - 7. Suppose -v = -r*k + 112, 5*k - 315 + 9 = -4*v. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 1. Let x be l(-2). Let r be (x\/(-2))\/(1\/2). Suppose 0 = -3*z - 3*u - 0*u, 0 = -r*z + 5*u. Which is the closest to 0? (a) 1\/2 (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1025007000 rounded to the nearest 1000000?\nAnswer: -1025000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/12 (b) 0.02 (c) -137 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -2*i**2 - 1\/24*i**4 + 0*i**3 + 4*i + 0. Let z(m) be the first derivative of l(m). Let k(q) = 2*q. What is k(z(t))?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*u - 20. Suppose 4*c - 5*l - u = 0, 9 + 0 = c - 3*l. Solve 0 = -z - c*z - 3*f - 4, z + 3*f + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c + 14. Let j be g(-8). Let h = j - 33. What is the remainder when 12 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292229694 a multiple of 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 13772.\nAnswer: 68860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.68 - 27.68. Which is the closest to 1\/4? (a) l (b) 2\/7 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -3, 0.5, 31 in increasing order.\nAnswer: -3, 2\/7, 0.5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -137, -145, -155, -167, -181, -197?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 65, -0.4, -2, 0.7, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/29 (b) -12 (c) 1.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-14)\/((o*o**(-8\/5))\/o)*(o*o**(2\/3))**(2\/13) assuming o is positive.\nAnswer: o**(-2368\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50544\/127 - 398. What is the closest to -1 in o, -4, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, 0.4, -3.2, -0.2, -5, -8.409?\nAnswer: -8.409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**3 + 5*a + 3. What is v(-2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -185. What is the greatest common divisor of 36 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 137\nAnswer: -232.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 = 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11977220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -774 + 798 = 6*b. Suppose b*m + 18*m + 152460 = 0. Round m to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 328188.3, 2\/7, 0.\nAnswer: 0, 2\/7, 328188.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 12:31 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 3*c = 4*p, 0*c = 3*p - 4*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 12*q - 1. Let m(f) be the first derivative of -f**3 + 12*f**2 + f + 2111. Calculate 5*d(w) + 3*m(w).\nAnswer: w**2 + 12*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + -2. Let n = -22 - g. Solve n*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n**3 + 6*n - 6. Let f(t) = 168*t**3 + 77*t - 77. Determine 6*f(v) - 77*x(v).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**6\/15 + 557*z**5\/20 - 364*z**4\/3 + 5997*z. Find the third derivative of n(c) wrt c.\nAnswer: -48*c + 3342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/10 of a minute?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*v + 636 = -676 - 392 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 25 - 49 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6602081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -5478, 0, -12\/13, -0.3?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 95 = -3*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83248 divided by -473?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4455 divided by 405.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 5843381151.4?\nAnswer: -5843381141.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-9)*(-15)\/2*(-1489)\/(-17868).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11*(-28)\/3773)\/((-1)\/(-7)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y - 6 = 59*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:08 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -4620.929 and -304.\nAnswer: -4924.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(4 + -2)*3\/(-12). Let t be (w\/3)\/((-41)\/21 - -2). Let z(x) = 3*x**2 + 3*x + 7. Let g(k) = k**2 + k + 2. Determine t*g(q) + 2*z(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12920 divided by 59\nAnswer: 12920\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8524952341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from rznzrnhu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 62. Suppose -m = -5*r + 3*q + 106, 0 = -3*r - 4*q + 110. Let y = r + -16. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 25, d - 370 = -5*x + 6*d. Suppose 93*f - 2664 = 22*f - 40*f. What is the remainder when x is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 90?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/6)\/(6\/(-27)). Suppose -w - 4*w + 5*x + 5 = 0, 2 = 3*w - 4*x. Let i = -2 + w. Which is greater: q or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2*v + 23, -12546*r + 12549*r = -3*v + 24 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 991\/6 + -171. Let v = 31\/5 + b. Find the common denominator of v and -59\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2. Let a(z) = 61*z**2 + 0*z**2 + 4*z**2 - 21*z**2 + 42*z**2. What is a(b(g))?\nAnswer: 344*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 165636888, 165636891, 165636894, 165636897?\n\"Answer: 3*r + 165636885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*4\/30 + (-16)\/(-6). Which is the smallest value? (a) 40\/3 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) 8 (b) 0.38 (c) -2 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*o + 0*o - 2*o)*(0*o**2 - 2*o**2 + 0*o**2) + 2*o**3 + o**3 + 2 - 1)*(-37 + 19 + 12) to the form z*o**3 + b*o + q*o**2 + d and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-21))\/(13*30\/585).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*n**2 + 107*n**2 - 51*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514*y - 48717 = 492*y + 181557. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/13 + 132*f\/13 - 1530\/13 = 0. Calculate f.\nAnswer: 15, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 39, 31.\nAnswer: -5, 0, 31, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1666825?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 11*u**2 + 28*u - 26. Let m be s(13). Suppose m = 4*b - 5*z - 45, 2*z + 10 + 25 = 5*b. Solve b*k - 30 = 5*w, 0 = -5*k - 0*w - 2*w + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 0*o - o**2 + 2*o + o**2 - 2*o + (-2 + 2 - 2*o)*(1 - 1 - 2*o) + 1 - 1 - 2*o**2 + (4 + 0 - 2)*(-2*o**2 + 2 - 2) - 632 - 397 + 317 - 2*o**2.\nAnswer: -4*o**2 - 712","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*6*(-5 + 1*sqrt(125)*-1*-3)*-3)**2.\nAnswer: -777600*sqrt(5) + 5961600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/8 + (-1)\/(-1). Let m = -4.2 + 4. Let b = -3.04 - -0.04. What is the nearest to m in a, b, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0753 times -0.089\nAnswer: 0.0067017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16709*v**4 + v**3 - 54*v**2 - 17300113?\nAnswer: -66836*v**3 + 3*v**2 - 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 397081014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 + 532632*o - 4261120 = 0.\nAnswer: -532640, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:47 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -172? (a) 1\/2 (b) 142 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 20.79 (c) -3\/2 (d) -0.3 (e) -4\/9 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 34, 20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214, 205, 176, 115, 10?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-10)\/60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1062 - 18*v - 1010 + 2076)*(0 + 0 - 2) to f*v + d and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010011111100001 - -1011?\nAnswer: 1010011111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/14*-84)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 488*j**2 - 64*j + 474. What is the thousands digit of y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6)*12\/(-8). What are the prime factors of (m - (3 + -6)) + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/78*(-72)\/(-42).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3344342180 to the nearest one million.\nAnswer: -3344000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*s - 92, 0 = 2*x - 2*s - 5 + 31. List the prime factors of (-3)\/(18\/x - -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17280, -1, -5.\nAnswer: -17280, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.4, -79, -2192 in descending order.\nAnswer: -4.4, -79, -2192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b65 - -4?\nAnswer: 4b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 65574.94 hours?\nAnswer: 236069784000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222306 not equal to 1222304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.4 in -0.1, 2.015, 0.4, 2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5340)\/36)\/5*309\/103?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3831338 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: What is 77 minutes after 1:26 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 96841010?\nAnswer: 193682020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 766*n - 24482. Determine s(32).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/52902 and 40\/81.\nAnswer: 476118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6\/11)*u*u**(-6)*u*u*u*(u**(1\/2)\/u)**(-45) assuming u is positive.\nAnswer: u**(439\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4522814 (base 9) in base 11?\nAnswer: -1414433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1)\/i*i)*i)\/i)**(-18\/11)*(((i*i**(2\/7))\/i)\/i)**(-45) assuming i is positive.\nAnswer: i**(2349\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -2 - 4 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (145\/3915*6*-1)\/(28\/(-189))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1 - 4 + 5*j**2 - 4*j + 6. Let q(k) = 6*k**2 - 5*k + 2. Suppose 3*a + 5*r + 4 = -13, -2*a - 3 = -5*r. Determine a*m(c) + 3*q(c).\nAnswer: -2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 7*q - 9. Let b be g(11). Let y = b + 291. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5348 + 5348.001309. Round m to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, 0.0394, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 484285 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 172.\nAnswer: 9632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 63, -5, -103, -225, -365?\n\"Answer: g**3 - 21*g**2 - 12*g + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 13*r**2 - 58*r - 82. Let c be j(-5). Solve -3*z - 20 = -n, -4*z = 7*n - c*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**2 - 14562512*b + 13254172234384 = 0. What is b?\nAnswer: 1820314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*m + m**3 + 4*m**3 + 102*m - 48*m.\nAnswer: 5*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2 - 1. Suppose 2*z - 1261 = -4*n + 193735, 3*z = -i*n + 292494. Let h = z + 1492502. What is h rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/2 + 315709*o\/2 + 28430010 = 0 for o.\nAnswer: -180, 315889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 49*x**2 + 15*x - 23. Let f(r) = r**3 + 23*r**2 - 8*r + 12. Let p(c) = 9*f(c) + 4*z(c). What is p(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.3, -2, 850, -32 in descending order.\nAnswer: 850, 0.3, -2, -16, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19903 + -39809\/2. Put 6226, i, 4 in ascending order.\nAnswer: i, 4, 6226","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.12 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.43 from 31.040954.\nAnswer: 34.470954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (-56)\/12)\/(24\/36). Which is bigger: m or 18\/295?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5002 + -32010?\nAnswer: -41012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 1652979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 29\/7)*28\/(-6). Solve -3 - 13 = -l*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35221620*u**5 - 20853723*u**2 - 3 wrt u?\nAnswer: -2113297200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1702751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -g - 10, -4*g - 28 = 5*r - 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688*a**2 + 0*a - 2101*a**2 + 5037*a**2 + 2*a - 1728*a**2 - 3*a.\nAnswer: -480*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*j + 30979 = 0, -2*j = -4*y + 37231 + 24691. What are the prime factors of y?\nAnswer: 2, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m. Let o(i) be the second derivative of 0 + 0*i**3 - 13*i + 0*i**2 - 1\/4*i**4. Determine o(p(v)).\nAnswer: -1083*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhhhlhhhhhhhhhhh.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32974 (base 10) in base 12?\nAnswer: -170ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -973\/3 + 334. Find the common denominator of ((180\/(-360))\/((-7)\/86))\/(4\/14) and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -425, -894, -1375, -1868, -2373?\n\"Answer: -6*j**2 - 451*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 3\/5 (c) -3 (d) 19\/1228 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 6, 3\/8, 23, -2\/15, 1\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j + 6. Suppose -2*d - 27 + 11 = 0. Calculate g(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 698 (b) -2\/27 (c) 0.5 (d) -11 (e) 4\/3 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-972)\/27*(-842)\/6*2. Is (0 - -1)\/(k\/(-2022) + 5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 0.032.\nAnswer: -0.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z + 28*z = -162. What is the nearest to 0.39 in -2, 1, -0.4, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a923 + 33083?\nAnswer: 23260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 47911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + -18)*(-3)\/(-6). Let x be -6*(4 + -1)\/h. Suppose -3*j - 5*d + d = -25, -2*j = -x*d + 6. Solve -a + j*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 5*y + 3. Let a be i(-5). Let n(u) be the second derivative of -u**4\/12 + 5*u**3\/6 - u**2\/2 + 12*u. Calculate n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -590 and -0.3.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 2. Let u(y) = y + 18. Let i be u(-13). Let c(k) = 4*k - 5. Give i*x(a) + 2*c(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2500 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: Let a be -2*(-2)\/((-16)\/(-12)) + -143. Let m be (-5 - -3)\/(-3 + a\/(-48)). Calculate the highest common factor of m and 288.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:12 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 + -0.3. Suppose 35*x = 30*x + 180. Let u = -41 + x. Which is the nearest to -1? (a) 2 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82075586 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**6)\/(f*(f**1*f)\/f))\/(f**(2\/5)\/f*f)**(-34)*(f\/(f*f**4*f))\/f**1*(f*f**(-2\/3)*f*f)**(-46) assuming f is positive.\nAnswer: f**(-1601\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54421780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s. Suppose 15 + s = -5*y. Calculate the remainder when ((-9)\/2)\/(y\/4) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiekk. Give prob of sequence kk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**3 - 14*q**2 + 72*q + 178. Give p(-9).\nAnswer: 1312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265576 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2266389*h**2 + 26*h - 160. Let i be q(6). What is i rounded to the nearest 1000000?\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -4\/7 (c) -3 (d) 0.4 (e) -1212\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (76\/(-228)*(2 - 1))\/(4\/(-108168))?\nAnswer: 2, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.03 (b) 2 (c) -2 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95023734 - 95024436.99719. Let y = p + 703. Round y to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 816 divided by 24\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 104858225366740.\nAnswer: -104858225366738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -1, 35263732?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548208 by 94.\nAnswer: -5832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -11\/120*z**6 + 1\/16*z**4 + 3\/80*z**5 + 0*z**2 - 1\/24*z**3 + z + 1\/28*z**7 + 20. Suppose c(g) = 0. Calculate g.\nAnswer: -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 6 + -7 - (-1 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 4\/28 - ((-866)\/(-14) - 5). Put 1, v, 0 in decreasing order.\nAnswer: 1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 147. What is the units digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18798131 minus 692.71?\nAnswer: 18797438.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*k**3 - 17*k**3 - 20*k**3)*(-k**2 + 3 - 3).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, p: 3}. What is prob of sequence uu?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24562 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 - 3*m - 6 + 5*m - 9*m**2 - 4*m**3 + 7*m. Let n be p(8). Let z(b) = 2*b**n + 2 - 2 - b**2. Let d(g) = -2*g. Give d(z(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47342993?\nAnswer: 23, 29, 70979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 2, y: 1, j: 1, q: 1, h: 1}. What is prob of sequence jh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/1246 and 83\/1050.\nAnswer: 93450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2 + -4 - (-2295)\/270)*(-138)\/9?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 + 4 - (-2 - -6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (68\/(-85))\/((-1)\/5). Suppose 5*y = q*n + 146, 5*y = n + 174 - 40. Calculate the remainder when 121 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 6. Let l be p(-6). Suppose 2*m - 4 = -l*m. Suppose -10 = -0*j - m*j. Sort -2, j, 0.\nAnswer: -2, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 8. Let b(h) be the first derivative of -j - 2\/27*h**3 - 8\/9*h + 4\/9*h**2. Factor b(n).\nAnswer: -2*(n - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 10 - 10. What is the common denominator of k - 0 - (-559)\/(-78) and -53\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - w - 2. Let g be x(2). Let u(i) = i**3 - 2*i**2 - 5*i + 1. Let k be u(g). Let n = 22 - k. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 4755?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97033 divided by 54.\nAnswer: -97033\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, 15, 11, -1 in decreasing order.\nAnswer: 15, 11, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 894100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5577 + 4*j**2 + 5577.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -17.2. Let s = -0.2 + v. Which is the third smallest value? (a) -0.4 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -47, -96, -165, -254?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -6757*h**5\/20 + 2069*h**4\/3 - 7*h + 717. What is the third derivative of f(p) wrt p?\nAnswer: -40542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 - (-117)\/(-90)*-6. Suppose -i*o = -2*o - 240. Let x = -2 + 6. Calculate the smallest common multiple of o and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**3\/2 + 3*u. Let n(q) = q**2 + q + 1. Let k(h) = -6*h**2 - 5*h - 5. Let s(d) = k(d) + 5*n(d). Give s(f(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33459 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - -25 - 31 - -4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-1)\/(-30))\/((-54)\/20).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 8*v**2 + 9*v + 1. Determine u(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 75. Let h(z) = -z**2 - 6*z + 18. Let p be h(-8). Let x be (-2 - -4)*14 + p. Calculate the highest common divisor of o and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 + -3. Let v = y + -0.4. Do -1 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 492.14 - 492. Which is the smallest value? (a) i (b) -0.5 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8 - (15\/(-175) + 9) and (-29)\/5*10\/25?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 - 126. Suppose 4*u = -s + 17, 0 = 8*s - 3*s - y. Solve 10 - 6 = u*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h - 1 = -18*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*b - 277 + 277 in the form o*b + p and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.5 - 32. What is the nearest to 1 in f, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143009294517010 - -143009271574806.0000014. Let a = l + 22942189. Let s = a - -15. Round s to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.3, 13\/33, 13744?\nAnswer: 13\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:13 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222542808?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 929 or 923?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1772 and 4427342?\nAnswer: 8854684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 15, 0 = -4*z + 4*n + 4. Suppose -z = -4*a + 14. Are a and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*j**5 - 14*j**5 + 10*j**2 - 7*j**5 + (2*j**3 + j**2 - j**2)*(2*j**2 - 6*j**2 + 2*j**2).\nAnswer: 6*j**5 + 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -28*z - 24. Suppose 5*s + 8 = 4*s. Let w be d(s). What is the greatest common factor of 25 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by -2.\nAnswer: -157\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3872368.7466 plus 20?\nAnswer: 3872388.7466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, s: 4, c: 2, p: 3, i: 1}. What is prob of picking 1 p and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 399158 greater than or equal to 399436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.6 + -0.3. Let o = 27448.7049 - 27451. Let x = b + o. Round x to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107996.\nAnswer: 2, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -463111 - -171.6.\nAnswer: -462939.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36)\/24*(-316)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x**2 + 1 - 8*x - x**2 - 11*x**2)*(0*x + x - 2*x).\nAnswer: 2*x**3 + 8*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 8*m - 9. Let c be u(5). Find the third derivative of 2 + 77*o**6 + 8*o**2 + 86*o**6 - 2*o**2 - 53*o**c wrt o.\nAnswer: 13200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21*(4\/(-2 - -14))\/1 + 2. Let y(t) = -4*t**2 + 3 + 1 + 1527*t**3 + 7*t + 6. Let z be y(m). What is z rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - r - 1. List the prime factors of c(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55\/30 + -3*10\/36. Solve 13 - u = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 22*z**3 - 5*z. Let g(w) = -15*w**2 + 1530*w + 5. Let l be g(102). Let t = 47 - 80. Let n(d) = 143*d**3 - 33*d. Calculate l*n(s) + t*p(s).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -22442, 0, 3, 2, -4 in increasing order.\nAnswer: -22442, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10495 + 10497. Let h(g) be the first derivative of 0*g**r - 43 - 12*g + 11\/3*g**3. Differentiate h(y) with respect to y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 16 = -4*y. Let b(t) = 2 + y + 6 - 5*t - t**2 - 10. Let x be (-2)\/(1\/1) - 4. Give b(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 8. Let t be i(-6). Let l(g) = -9*g - 24. Let f be l(-6). Let h be 3\/(18\/4)*(-225)\/f. Sort 5, t, h.\nAnswer: h, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 1225448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9691.4 + -9691. Let n(z) = -z**3 - 4*z**2 + 2. Let w be n(-5). Which is the closest to 5? (a) -2\/3 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -583015*x**3 - 81225*x**2 + 3249*x - 3249. Let r(m) = -359*m**3 - 50*m**2 + 2*m - 2. Determine -6498*r(f) + 4*t(f).\nAnswer: 722*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 80194223 to the nearest one hundred thousand.\nAnswer: 80200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 15*m - 6. Let s be 1 - (6\/2 - 7). Let z(n) = 3*n + 4 - n**2 + 3 + s*n - 4. Let f(u) = 6*w(u) + 11*z(u). Give f(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6*c - 3*f - 24313, -4*c + 4*f + 24308 = 0. Suppose -2*d + 1103 = m + c, -4*d + 3*m = 9953. List the prime factors of d\/(-19) - (0 + -1 - -3).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 22. Let o be g + -6*(-8)\/12. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 + 18 = -2*a + n, 5*a - 405 = -5*n. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.100000133 + -15.1. What is f rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57480*y**2 - 93665 wrt y.\nAnswer: -114960*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 + -0.5. Let u = d + 3. Let f = -0.19994 + u. Round f to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 152*p**2 - 4*p + 3. Let s be z(1). Let n = s - 55. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/3 + 46*v**3\/3 + 576*v**2 - 120832*v\/3 + 1638400\/3.\nAnswer: -(v - 32)**3*(v + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 2.1\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*a**2 - 646\/3 + 7*a.\nAnswer: (a - 17)*(a + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*n + 11, 3*n = 4*o + n - 10. Suppose 0 = 3*k - o*k + 6. What is the third derivative of -2*a**k + 6*a**6 + 72*a**2 - 65*a**2 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/4 of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -66246.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaua when four letters picked without replacement from uamauammaauaauau.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5535\/(-20) - (5\/(-4))\/(-5). Let g = 105 - y. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12075, -12078, -12081?\nAnswer: -12084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((19196\/(-6))\/(10\/(-15)))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 41*t + 3*t + (2 + t - 2)*(-1 + 3 - 1))*(-t - 2*t + 2*t).\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -16.3, 6\/5, -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -13*c - 33. Let a(s) = -7*s - 17. Give -7*a(f) + 4*n(f).\nAnswer: -3*f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bz when two letters picked without replacement from bwguz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13031\/2356 - 445330317\/25916. Let t = 17194 + x. Let r = -137\/2 - -64. Find the common denominator of t and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5418347 to the power of 1\/2, to the nearest integer?\nAnswer: 2328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Suppose 41000000 = -9*x + l*x. What is x rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17335\/32051 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783 + 777 - (-2 + -1 + 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.8 - 13.7. Let c = 0.1 - d. Sort -2, 0.2, c in descending order.\nAnswer: c, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 28 = c, -i + 2*c = -5. Solve -5*n - 2*u - 6 = 0, 3*n - u + i = -1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f - 7. Let t be u(-3). What are the prime factors of 34 + (-3 - (5 + t))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(21\/(-6) - -2). Let h be (37\/3)\/((-2)\/y). Let o = h + 61. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h = -3*v - 34, -3*v + 56 = -5*h. What are the prime factors of (120\/h)\/((-6)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (143\/78 - 8\/(-16))*2\/7. Which is the closest to n? (a) -3\/5 (b) -18 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1228967 is divided by 661.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10 + (2 - -2) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afa when three letters picked without replacement from {f: 1, e: 1, a: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4061615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4)**25 assuming z is positive.\nAnswer: z**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12)*(-9)\/(-2). Let x be (45\/10 - 3)*6. Suppose -3*c - 2*o = -12, c = -3*o + x + 2. Is c at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -92.4028 and -0.0188.\nAnswer: 1.73717264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.9 - 93.9. Let n = t - -86.745. Let j = -0.19 - n. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:56 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**2 + 3 - 3 + 0 + 16*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861*i - 21652 + 1352 = 811*i. What is the remainder when i is divided by 86?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31297670 to the nearest 100000.\nAnswer: 31300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*w**2 - 17*w**2 + 2*w**2)*(w + 0*w + w)*(-3 + 2 + 0) in the form z*w**3 + r*w + g + y*w**2 and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -555, -1111, -1667?\n\"Answer: -556*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 9*w - 7. Let c be b(10). Suppose -4 = -c*h + h. What is the third derivative of 4*g**2 - 2*g**2 - 3*g**3 + 2*g**h wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 67. Let a(n) = n. Calculate -5*a(y) + u(y).\nAnswer: -2*y + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -163.9, 5, 1999?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 1612.3732?\nAnswer: -12898.9856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 323, 689, 1041, 1373, 1679, 1953, 2189, 2381?\n\"Answer: -m**3 - m**2 + 376*m - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 228 = -5*w, -5*w + 2*o - 219 = 4*o. Let m be 4\/6*w\/(-2). Solve -3 = 5*v + 2*n, 0*v + 5*n = -5*v - m for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 12:00 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from twwtttttwtwtttwt.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/3)*q*q)\/q*q*(q\/(q\/(q*q*q**(1\/3)\/q)*q))\/q*q)\/((q*q**1*q*q)\/(q*q**(2\/5))))\/(q**(-2\/15)\/((q**(-2\/13)*q)\/q))**(-4\/3) assuming q is positive.\nAnswer: q**(50\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 38, 61, 84?\n\"Answer: 23*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(200) + sqrt(200)*1) - (4*(1 + sqrt(2)) + (4 + sqrt(2) + 0)**2).\nAnswer: -22 + 68*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 12, 5, 2 in decreasing order.\nAnswer: 12, 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59842057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 604, 1033, 1462?\nAnswer: 1891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 372 - 372.08. What is the third biggest value in 3\/5, d, 5\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*1 - (-1 + 3). Let o(p) = -3*p**3 - 2*p**2. Let a be o(-3). Suppose -a = 4*t - 11*t. What is the greatest common divisor of d and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/165 and 107\/105.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 566.028 kilograms in grams?\nAnswer: 566028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 382 - 54?\nAnswer: 32e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**2))**(-4)*(a**(-2\/23)*a*a)\/((a\/((a*a\/(a\/a**(-3))*a)\/a))\/a) assuming a is positive.\nAnswer: a**(-186\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -c + 162, 4*c - 10*u + 11*u = 631. What is the remainder when c is divided by 69?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 0.5, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 132\/8*(-8)\/6 and (-303)\/4*2\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -3. Let d(x) = x + 2. Let m(a) = -3*a - 6. Let u(l) = p*d(l) + 2*m(l). Let q be -8 + 19 - 2 - 5. Calculate u(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2116 + 2112. Let z = 9.49 - -0.51. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2 + 5*t - 13. Give u(-4).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 632 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-25\/3)\/(d\/(d*d**(-1\/4)))**(19\/4)*(d\/((d*d*d**0*d)\/d))**(-47)*(d**(2\/3))**(-30) assuming d is positive.\nAnswer: d**(839\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13047561 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 5:33 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 94, 12, -30, -20, 54?\n\"Answer: 2*l**3 + 8*l**2 - 120*l + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -1\/5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from ejjogegdgjjjejgjex.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.82 - -1.14. Let u = 3.046 - 0.046. Let l = u - j. Round l to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + t**4 - 5*t**4 + 0 + 0 + 2*t**4 + (139*t**3 - 2*t**3 - 72*t**3)*(2 - t - 2).\nAnswer: -67*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16518586957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = s - 27, 0 = 4*c - 2*c + 5*s - 3. Let m(u) = -u**3 - 6*u**2 + 1. Let z = -19 + 21. Calculate the least common multiple of z and m(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (102\/(-288))\/((-1406)\/(-1400) + -1). Let z = -343\/4 - u. Calculate the common denominator of z and -77\/57.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let h(o) = 7*o + 8. Let q(t) = -13*t - 15. Let l(i) = 11*h(i) + 6*q(i). Give -j(b) - l(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 + 178 - (18 + (-6 - -7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235, 203, 181, 163, 143, 115, 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**4\/12 - u**3\/2 + 3*u**2\/2 + u - 82. Give g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - (-1 + (0 - (11 + -18)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2696*m + 21441. What is f(-8)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15996 - 31961 + 15965 + 13*a.\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 67*o**2 - 18. Let j(i) = -269*i**2 + 73. Suppose 10 = -4*u + 2. Let s(g) = u*j(g) - 9*h(g). What is the derivative of s(d) wrt d?\nAnswer: -130*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by -5?\nAnswer: -273\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*-6*6\/(-72)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -4) + (2 - 2). Suppose -6*w = c - 11. Let a(x) = -3*x - 5. Let j be a(-3). What is the highest common factor of j and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d - 1. Let p(w) = w - 1. Let u(t) = b(t) + 3*p(t). Let o be u(-2). Solve -6*q = -o*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -153*r - 1. Is d(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -71*o**3 - o**2 - o + 1. What are the prime factors of w(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -2*l, l + 0*x = -5*x + 3. Solve -n - 2 = l for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.5. Let f(q) = q**3 + 14*q**2 + 12*q - 1. Let n be f(-13). Let z = n + -14. Which is the closest to z? (a) h (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/3*(-2)\/8. Let z = 231.7 - 233.7. What is the third smallest value in 0.5, 4\/9, z, m?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 h when four letters picked without replacement from {a: 11, b: 1, h: 2}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 106\/(-10) + 48\/(-20) + 2. Suppose 0*k = 4*k + 40. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.412023 litres to millilitres.\nAnswer: 5412.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18130 divided by -93?\nAnswer: -18130\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -8)\/(-4 + 1). Let o = -57 + 60. Does o = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Let x(h) = -3*h - 4 - 4*h + t*h + 3*h. Suppose -5*l - 2*f = -11, 2*l + 2*l = f + 14. Calculate x(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -127. Let u = -35 - q. Is 12 a factor of 6\/u + 149 + 2\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 - 17445\/20)\/(1\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737952 + (-242)\/(-176)*-8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665379230 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8416561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27084*a**2 - a - 2598?\nAnswer: 54168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12797873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/15 - (-574)\/70. Solve -3*y - 5*m + 2 + 9 = 0, -m = -5*y + j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33431 and 26159.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*h - y - 6, h + 3 = -4*y. Suppose 2*a = -2*a + 16. Let g be (3 + -1)\/(a\/(-2)). Sort g, h, 3.\nAnswer: h, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**8\/560 - a**5\/24 - 2*a**3 - 5. Let l(k) be the third derivative of c(k). Find the second derivative of l(r) wrt r.\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53.85 + -53.82491. What is c rounded to three dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 4*d - 4 = 0. Let x = d - 3. What is the second smallest value in x, -1\/4, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4376 = -5*l + h, 4*l + 2*h = 789 + 2709. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*i**3*l**3 - 2*i**3 + 14*i**2*l**3 - 5*i**2*l**2 + 68*i**2 + 815*l**3 - 142*l wrt l?\nAnswer: 54*i**3 + 84*i**2 + 4890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20664?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 10*t - 1. Let a be v(3). Let x = 27 - a. Sort 5, -1, x in decreasing order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d + 4. Let i be r(0). Suppose 4*j = -m - 5, i*m - 5 = 3*m - 2*j. Find the second derivative of 8*n**3 - 8*n**3 - 25*n**4 - m*n wrt n.\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -53. Suppose 110*c - 115*c = -15. Solve a - 19 = i*k, 0 = -k - 2*a - c - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.1 + 3.7. Let g = h + 4. Let o be (-2)\/8 - (0 + 7 + -7). What is the closest to -3 in -1, o, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 87\/2? (a) 1 (b) -4\/23 (c) 0.3 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**2 + 3*g + 15. Is q(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**4\/12 + 2*m**3 + 5*m**2\/2 + 20*m. Let h be r(10). Solve 3*c + 3*j - 5*j = h, -3*c = j - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/658 and 89\/55452.\nAnswer: 18243708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34352 and 81586?\nAnswer: 652688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-1) - 338\/(-468)*-27\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 3*g + 0*g)*(-2*g + 3 - 3) + 0*g + 0*g + 3*g**2 + 262*g - 16771 + 16771 + 2*g**2.\nAnswer: 9*g**2 + 262*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2\/43 (b) 0 (c) 7 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1691028 divided by 3852.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2848560 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013318 to six decimal places.\nAnswer: -0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13738.68 - 13932. Round z to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358539763 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55734 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n - 403 - 53 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 318.2 + -317.5. What is the nearest to -0.1 in j, 2, -8, 5\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/11 - 12592*a\/11 - 19819808\/11 = 0.\nAnswer: -3148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1988 - -5612. Calculate the lowest common multiple of 24 and v.\nAnswer: 3624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0519 - 15?\nAnswer: -15.0519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -197*a**3 + 2*a**2 - 1126*a - 3386. Give n(-3).\nAnswer: 5329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1026 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7111 less than -1966481.87?\nAnswer: -1966482.5811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 205703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 61.91 and -0.6.\nAnswer: 61.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 0.3, 1\/6, 3 in ascending order.\nAnswer: -1.6, 1\/6, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1 - 2. Let u be (-20)\/24 - (s - -2). What is the closest to -5 in 2\/5, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 5)*(613 - 1200 + 11*i**5 + 3*i**3 + 593).\nAnswer: -121*i**5 - 33*i**3 - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -178*o + 171*o + 21. Suppose 0 = -o*r + 2*d + 1872, 2*d = -2*r - r + 1872. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000589984 to 6 decimal places.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/123 + 28\/41. Let c be (32\/(-12) - -3)*33. Let v = -9 + c. Do v and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4579395 is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 23\/1240?\nAnswer: 23\/1240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3569361209972\/6605 + -540402904. Let q = j + 2\/1321. Find the common denominator of q and 9\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27062044*g - 26372858 with respect to g.\nAnswer: -27062044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 421960355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-264)\/(-100))\/((-20)\/75). Let f = u + 907\/30. Let q = 1061 - 4167\/4. What is the common denominator of q and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) 1\/26 (c) 0.2 (d) 1\/7 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 + 6*t**4 - 2*t**4)*(-4*t + 2*t - t) - t**4 + t**5 + t**4 - 3*t**5 - 2*t**3 + 2*t**3 - 2*t**3 + 0*t**2 - 2*t**5 + 0*t**5 - t**2.\nAnswer: -25*t**5 - 2*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -7*j**5\/6 - 29249*j**4\/2 - 8564529*j**3\/2 - 1744621757*j**2\/6 + 4033186955*j + 1175975700 = 0.\nAnswer: -12237, -155, -2\/7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1249231, 1249240, 1249253, 1249270, 1249291?\n\"Answer: 2*o**2 + 3*o + 1249226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, h: 1, a: 6, t: 1, x: 2}. What is prob of sequence qq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068284 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 888 + -339. Let f = -548.999999621 + i. Round f to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - ((61 - 12) + -3) - -15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 456*x + 209. Let f(l) = -13*l - 6. Let s(z) = -209*f(z) - 6*v(z). Let d(p) be the second derivative of p**4\/6 + 7*p. Calculate s(d(h)).\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -17*i**7\/210 + 3*i**3 + 8*i**2 + 9. Let v(w) be the second derivative of n(w). What is the derivative of v(o) wrt o?\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.17 * 0.12\nAnswer: 7.3404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 7300844?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -5*m. Let u(i) be the first derivative of 11*i**2\/2 + 2*i - 8952. Let q(y) = 11*y + 2. Determine m*q(r) - 4*u(r).\nAnswer: -11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377*x - 348*x - 261 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -45. Suppose -2*f = y - 33. Solve -5 = -f*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 2*w**4 + 3*w)*(-3 + 3 - 1) + 60 - 60 - 15*w**4 as p*w + a*w**4 + n*w**3 + q*w**2 + g and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 31*m**2 + 13*m - 17. Is c(-15) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8044 + 8048. Suppose 0 = q - 5*m - 7, -q - 1 = -2*m - 5. Solve j*k = 5*u + 5, 0 = 5*u - 3*k + q*k + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/30*(-890)\/(-2136).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**5 - 50076*z**4 + 2712852*z**3 - 36662868*z**2 = 0.\nAnswer: -12573, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -75535612 (base 8) to base 7\nAnswer: -254304316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqcchqc. What is prob of sequence hcu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-10))\/((-6)\/(-180)). Suppose 10*w = 4*w + h. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2\/7, -1, 2 in decreasing order.\nAnswer: 2, 2\/7, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51589173 divided by 29.\nAnswer: -1778937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 8 = -2*i + i, 2*i - 3*b = 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 679, 697, -1.\nAnswer: -1, 679, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 11*y - 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4756238 (base 10) to base 13.\nAnswer: ca6b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 22*m - 12. Let d(x) = 11*x - 7. Let n(q) = 13*d(q) - 6*h(q). Let o(w) = 5*w - 9. Determine -6*n(u) + 13*o(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 3118*i**5\/5 - 5911*i**2\/2 + 895. Find the second derivative of t(m) wrt m.\nAnswer: 37416*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -16*7\/(-224)*(1915 + -1). What is the highest common divisor of v and 406?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 18. Let l be (2 + 0)*(-2)\/2. Sort 3, j, l.\nAnswer: j, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**5\/20 + j**4\/4 - j**3\/3 + 2*j**2 + 102*j + 2. Suppose -4*h + 3 = -2*m - 1, 5*h - 35 = -5*m. Let v = h + 0. What is a(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2667, 2715, 2789, 2883, 2991?\n\"Answer: -t**3 + 19*t**2 - 2*t + 2651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**5\/4 - 2109*o**4\/4 - 107488*o**3 + 4630746*o**2 - 50060052*o + 82465452 = 0.\nAnswer: -222, 2, 18, 2293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-64)\/240*(-12)\/8)\/(2\/20). Sort 7\/5, o, -0.01, -0.4, -4\/7.\nAnswer: -4\/7, -0.4, -0.01, 7\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1183248.6 rounded to the nearest one thousand?\nAnswer: -1183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13*p + 344. Determine u(51).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 51*m**2 + 75*m - 729. Let x be j(8). Calculate the greatest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwvwvwvvvvvv?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-12)*(63 - 39). Solve 0 = -4*k - 3*o - x, 5*o + 4 = 2*k + 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j**2 + 14*j + 11. Let l = -87 - -91. Let d(x) = -5*x**2 + 5*x + 4. Calculate l*k(m) - 11*d(m).\nAnswer: -5*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 760 and 80.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*k + 8, -l + 2*k = 3*l + 26. Let j(q) = 28*q + 9. Let p(d) = -7*d - 2. Determine l*j(x) - 26*p(x).\nAnswer: 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y = 30*y + 56 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124, 584, 1830, 4252, 8240, 14184, 22474?\nAnswer: 33500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-640)\/(-15)))\/((-22167)\/(-14778))\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 12)*1\/(-3). Let j be (-4 - 69\/(-10)) + -3. Which is the fourth biggest value? (a) j (b) 0.2 (c) 2\/5 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(-2\/21))))\/(r\/(r\/r**0))*r**3*r\/(r*r\/r**(-3))*(r\/(r*r**(-2\/7))*r**(3\/7))**(-38) assuming r is positive.\nAnswer: r**(-572\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-81)*36*(-9)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17796.3365 - -17792. Let b = 2536 + -2540.3. Let k = n - b. Round k to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - -2.4. Let p = 44.471 - 44.471. Sort j, -0.1, p, 5.\nAnswer: -0.1, p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7\/(21\/90)*372\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1616032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15520137 to the nearest integer?\nAnswer: 3940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 1\/2*z**2 - 2\/3*z**4 + 0 - z - 2*z**5 - 1\/6*z**3. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -59, -132, -233?\n\"Answer: -14*t**2 - 3*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2 - 4*j + 15. Calculate the remainder when 80 is divided by k(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.118 in -4, 0.4, 2, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2254)\/70)\/(-23)*-10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 23*s + 7. Let m = 23 - 12. Let j be q(m). Let b be (-90)\/392 + (-1)\/j. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16 - 40*c + 4 + 35*c**4 + 2*c**3 - 105*c**2 - 13*c**3 + c**3 = 0. Calculate c.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 247*a. Let u(y) be the first derivative of -y**2\/2 - 309. Determine u(d(r)).\nAnswer: -247*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**4\/8 - x**3\/6 + 7*x**2. Differentiate y(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*l**3 + 0*l**4 - 1\/2*l**5 + 33\/2*l - 5 - 19*l**2.\nAnswer: -(l - 2)*(l - 1)**3*(l + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1245544*g**2 + 278900*g wrt g?\nAnswer: 2491088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246180317 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 12:04 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/13 + (-1930)\/(-130). What is the highest common factor of r and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 23*u + 13 - 21*u - 16. Give a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 minus 262099?\nAnswer: -262436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500) - (4*-2*sqrt(1500) + sqrt(1500)))\/(sqrt(80)*-5 + sqrt(5) + (-2*sqrt(180) - sqrt(5))).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -3\/8 (c) 146 (d) 0.01 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-324)\/(-891))\/(10\/11). Put 61, g, 4 in descending order.\nAnswer: 61, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -206. Solve q = 3*d + 10 + 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 9. Calculate b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u + 2*u - 10 - 1 - 5*u. Let y be g(11). Suppose y = -0*h + 2*h - 2. What is the least common multiple of h and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 80a95?\nAnswer: -80a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8010 and 890?\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13074*z - 352999. What is j(27)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/5)*((y\/(y**(-1\/3)*y)*y)\/y)\/y)**(-17)\/((y**(-6\/11)*y*y**0)\/((y*y*y\/(y**(-1\/6)*y)*y*y)\/(y**(1\/4)\/y))) assuming y is positive.\nAnswer: y**(1231\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (7 + -10 - (0 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 1 + 3. Let c(h) = -h + 8. Let x be c(0). Suppose -x = -n*q + 6. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.21 and -72521559976.\nAnswer: -72521559975.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.5 - -15. Let o = 1 + k. Put o, -0.04, 4 in increasing order.\nAnswer: o, -0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f - 623 = 131*f + 349 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, j: 4}. Give prob of sequence jjss.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g + 9. Let a be n(-11). What is a rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d + 3*h + 42 = 0, 76 = 5*d - 2*h. Let r be 3\/(-1) - (2 - d). Suppose r + 43 = 2*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4 - 0. Suppose 0 = -4*o + h*c + 12, 2*o - 2*c + 9 = 3*o. What is the first derivative of 0*r**4 + 3 + o*r**4 - 9 wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114056265 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: Let w(o) = 7*o**3 + o**2 - 6*o - 10. Let f be w(3). Is f != 167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*24\/224 + 1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/1)\/(2\/(-10)). What are the prime factors of -4*(3 + f\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/15)\/(28\/10 + -3). Let x(h) = h**3 - 5*h**2 - 5*h - 1. Let k be x(6). Let z = k + -2. Solve 6*c = z*y + q*c + 3, 2*c = -2*y - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 19. Suppose 0 = -2*w - 4*y + 32, -5 = -8*y + r*y. Suppose 0 = n + g - 7, -4 = -2*g - w. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 27\/2 of a gram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 150360\/(-10080) - 30\/(-2). Let y(w) be the second derivative of -1\/2*w**2 + 0 - 29*w + 0*w**3 + x*w**4. Give y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -2\/15, -1\/10, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0081646mg to grams.\nAnswer: 0.0000081646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 4:58 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7468, 7474, 7482, 7492, 7504?\nAnswer: 7518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - a**2 - a. Let y(q) be the second derivative of -2*q**5\/5 - q**4\/2 - 4*q**3\/3 + 3*q**2\/2 + 183*q. Give 6*x(p) - y(p).\nAnswer: 2*p**3 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3752.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2248\/207617?\nAnswer: -2248\/207617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + k**3 - 2*k**4 + 3*k**4 - 6*k**4 + k**4 + (-2*k**2 - 4*k**2 + 4*k**2)*(4*k**2 - 6*k**2 + 4*k**2) + 5 - 5 + 12*k**4.\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*v + 108, -3*x = -4*x + 5*v + 42. Suppose 3*y + x = 4*g, 4 = g + 2*g + 4*y. Suppose g*p + 5 = 5*p. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 4156405.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is (44 + -46 - (-13 - -8)) + 1 + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/101 and -14\/8035?\nAnswer: 811535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1770*t + 325666. Calculate k(-184).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 20*c - 16. Let w(t) be the first derivative of 5*t**3\/3 + 2141. Give w(g(y)).\nAnswer: 2000*y**2 - 3200*y + 1280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2120849621 or -2120849622?\nAnswer: -2120849621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.037 + 0.103. Which is greater: -2 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4.5, -0.1, -5\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -24*x**2 + 54*x + 84. Let f be i(5). Is -12 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2\/3 - 340*c\/3 + 5780\/3.\nAnswer: 5*(c - 34)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55100 is divided by 9952.\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*g - 66 + 180 = 0. Is g bigger than 25.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(8670\/(-375) - -23).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 2?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.058794 * -0.07928\nAnswer: -0.00466118832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**3 - q**2 - q. Let m be v(-1). Let k be 1\/4 - m\/(-4). Let p be -2*(-1)\/(-2) - -4. Solve -4 = -p*c - k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 506337 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*t = 65, -21405 = -4*t - 21385 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.22 - -4.78. Which is bigger: -0.3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69466760 is divided by 34733374?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 160\/12*6\/5. Suppose -h - 3*h - r = 0. Let w be (-8)\/12*-6 + h. Solve w = -y + 2 - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127938946 divided by 2\nAnswer: 63969473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 49\/3*t**3 + 0*t**4 - 5\/21*t**7 + 0*t + 197*t**2 + 0*t**6 - 1\/30*t**5 + 0. What is the third derivative of l(u) wrt u?\nAnswer: -1200*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w = 34*w + 3842. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -1251*s**5\/20 - s**4\/12 + 543*s**2\/2 + 745*s - 2. Differentiate a(b) with respect to b.\nAnswer: -3753*b**2 - 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63.2 in -930\/19, 4, 0.2, 0.3, -3?\nAnswer: -930\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 677037 or 3385187\/5?\nAnswer: 3385187\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.44 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 8) to base 5.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-78)\/(-12) + (-2)\/4. Let u(x) = -x**3 + x**2 + 2*x + 2. Let a be u(-1). Let h(b) = -2 - 7*b - 8*b**a + 9*b**2 + 4. Calculate h(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*m + 34, 6*p - p - 55 = -5*m. What is the remainder when ((10\/(-6))\/(-5))\/(2\/102) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 4\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 - 3. Let y(s) = s**2 + 2. Let d(x) = -4*l(x) - 6*y(x). Let z(a) be the second derivative of a**3\/2 + 15*a. Determine d(z(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 11*t**2\/2 - t - 1. What is the units digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -8 + 22. Suppose 3*t - y = -c - 4*c, -3*t + 7 = -2*c. What is the nearest to -1 in c, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/2 + 89*b**3\/2 + 561*b**2\/2 + 851*b\/2 + 190 = 0.\nAnswer: -4, -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152602571 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166440*k - 2*t = -166437*k + 17, -2*k - 3*t = 18 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3\/5 - 76*a**2\/5 + 448*a\/5 - 768\/5 = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6114, -12228, -18344, -24462, -30582?\n\"Answer: -z**2 - 6111*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjojoooj. What is prob of sequence jjo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -103?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 29 = -5*b, 65 = 5*z - 4*b + 55 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/(-63))\/((-12)\/18). Is v bigger than 3\/8648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180589197?\nAnswer: 3, 60196399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/128*-4)\/((-2)\/(40\/(-5))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-142)\/((-1373424)\/(-520)))\/(5\/2)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23\/5 of a micrometer?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1527273*k**3 - 2453254.\nAnswer: -4581819*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -226*y + 4279. Give v(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-6))\/((-24)\/(-9)). Let w = -17 + 12. Which is the biggest value? (a) w (b) -0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 3*c + 1. Let f be d(3). Let p be (1 + 1 - f)*3. Solve 4 = -p*a + 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/118 and 133\/6.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*n - 30 = 0, -12*f + 16*f + 48 = -2*n for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20879332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 - -123. What are the prime factors of (4*45)\/3*78\/l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203 or 610\/3?\nAnswer: 610\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*z + 5 = -1, -5*y + 3*z = -10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-25 - -21)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200, 1, -5, 58, -6 in increasing order.\nAnswer: -6, -5, 1, 58, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnnqqtqtq. What is prob of sequence nn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -454\/7, -60, -0.152, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Let y be f + ((-80)\/12)\/2. Is 2 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1854 - -4.\nAnswer: -1850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 902*m**2 - 901*m**2 + 0 + 8 = 0. What is m?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (16\/2)\/((4 + 1)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16309685 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 0. Let m(u) = -4*u**3 - 58*u**2 - 24*u + 50. Let b be m(-14). Let n = -10 + 6. What is the closest to q in 0.3, b, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 18*q - 34. Let c be r(-2). Is 0 - (5 + c) - (-3 - 419) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3) + 12\/11. Sort -5\/2, 0.5, s in decreasing order.\nAnswer: 0.5, s, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 2288?\nAnswer: 228b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**2 - 52*k - 58. Let i be p(22). Let y = 19574 + i. What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(252)\/(sqrt(9) + sqrt(36)))\/(-2*sqrt(108)\/sqrt(3))*1)**2.\nAnswer: 28\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1602346 and 826652?\nAnswer: 5662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let z be u(13). Let y(o) = -3*o**2. Let b be y(-1). Let c = z + b. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = -126*y + 132*y. Let j(s) = -5*s. Let q(f) = 85*f. Let x = 5 - 3. Let n(o) = x*q(o) + y*j(o). Let i(a) = 4*a. Determine i(n(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164798231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 380052 and 87210?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 5*t - 35, 121*i = -5*t + 122*i + 35 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189390, -189416, -189442?\nAnswer: -189468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 - 257*j - 1266. Calculate u(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 4929\/22 and 223 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c + 3*j - 25 + 19, j = -c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/96 and -119\/66.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -14. Let d = a - -4. Suppose 5*k + 2*h = -h + 41, -5*k + h = -33. Calculate the remainder when d is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 810276312 - 9.\nAnswer: 810276303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of q**4 - 137*q**3 + 11*q**2 + 7*q + 1316948 wrt q?\nAnswer: 4*q**3 - 411*q**2 + 22*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 4*q - 20, 6*q + 3*f - 829 = -835 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 13 (c) 2 (d) 3494\/3 (e) -486\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.94895109 or 2\/3?\nAnswer: -6.94895109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.745 - 0.015. Let z = d + 0.7709. Round z to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41 - -0.59. Let z = 3.6 - 4.1. What is the nearest to z in 2, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -709192, -1418422, -2127652, -2836882, -3546112?\nAnswer: -4255342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(1\/2))**(-11)*(((y\/(y*y\/y**(-4\/3)))\/y*y)\/y*y)\/y**(-4))**(4\/3))**(-4) assuming y is positive.\nAnswer: y**(712\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 15 = -j. Suppose j*f = 2*f - 0*f. Solve 5*m + 3 = -a, 0 = 5*m + 2*a - f*a + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.4 + -11.1. Which is the closest to 0? (a) 0.5 (b) -0.7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.1 or -0.557?\nAnswer: -0.557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2101, 2100, 2099, 2098, 2097, 2096?\nAnswer: 2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-5))\/(2\/(-5)). Suppose 3*m - 4*o = -2*m + 35, -4*o - 26 = -p*m. What is the remainder when 8 is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 24*h + 375. Let s be b(-15). Suppose s*n - n - 56 = 0. Solve z = z + n*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 5318\nAnswer: 1\/5318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 7.3, 39\/31, 0.7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 a, and 1 h when four letters picked without replacement from {b: 4, h: 2, a: 2, f: 6, x: 1, v: 2}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1\/g)\/g**6)**(20\/9)*(g\/g**3)\/(g\/(g**4\/g))*(g*g*(g\/g**(-1\/8)*g)\/g*g*g)\/((g\/g**(-1))\/g) assuming g is positive.\nAnswer: g**(-221\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83160 = -33*c + 105*c. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.32549*3.38\nAnswer: 1.1001562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95390.\nAnswer: 2, 5, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (5 + 3 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.484 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4, 0 = -13*o + 12*o + 3*x - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/7*(64\/(-28))\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/7*(-2)\/((-24)\/21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiiieiueiiiueuiiio. Give prob of picking 2 o.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1221 - 0.1779. Suppose 4*y = 6 - 22. Sort b, y, 0.5, -2 in descending order.\nAnswer: 0.5, b, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 4:35 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4679 by 7317.\nAnswer: 4679\/7317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7287 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6\/24 - ((-34224)\/336 - -102 - (-83)\/(-532))\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 6. Let n be u(4). Let c be (-81)\/(-105) - n\/(-10). Suppose -2*a + 3*p + 18 = -0*a, 5*a - 7 = -2*p. Sort -1, c, a in descending order.\nAnswer: a, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = f + 12, 4*p - 2*f = f + 4. Which is the closest to 0.2? (a) p (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2046 = -2*d, -2*d + 4*d - 2*i = -2038. Let c = d - -11193\/11. What is the common denominator of -47\/11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (34\/7)\/(14\/98). Suppose -47 + 16 = -3*z - 4*v, 4*z = 2*v + d. Calculate the greatest common factor of 18 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 9*q**2 - 7*q - 13. Let m be g(10). Let u be 34\/6 - 2\/(-6). Let v = m - u. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -383\/5 + 76. Let b = 17\/2 + -9. Which is bigger: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z + 189 = -2*z. Find the common denominator of (-10 - z)*5 + (-224)\/(-45) and 67\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 281*b. Let x(c) = -2*c - 21. Let t(y) = 9*y + 91. Let z(r) = -6*t(r) - 26*x(r). Give z(f(k)).\nAnswer: -562*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**3 - 6*z**2 + 6*z - 14. Let r(t) = -6*t**3 + 7*t**2 - 7*t + 14. Give -7*h(p) - 6*r(p).\nAnswer: p**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 8*b - 7. Let c(u) = u**2 - 6*u - 7. Let d be c(-2). Give o(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 + 11*d**2 - 2*d**2 + (3*d - 2*d + 0*d)*(d + 3*d - 6*d))*(d + 0*d - 2*d)*(52*d + 64*d - 103*d).\nAnswer: -156*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -100*n - 322. What are the prime factors of c(-6)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**3 + 27*a**3 - 54*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 2*o**2 + o)*(3 - 6 - 6) + 57*o**2 - 11033 + 11033 as k*o + g*o**2 + h and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 47. Let u be x\/2*3*48\/(-4). Let n be 10*(8\/(-12))\/((-15)\/u). What is the greatest common factor of n and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18697463 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -55041206?\nAnswer: -55041213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0623 and -1463.\nAnswer: -91.1449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 - 68*a**2 + 67*a - 110. What is u(-35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12*((-100)\/(-30))\/(-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 0.03, -2, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*k**2 + 11*k**2 - 2*k**2 + 20*k**2 - 3*k wrt k?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 o when four letters picked without replacement from oiikkiiaoo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 31. Let t be o(0). Suppose -2*v = 5*f - t, 5*v - 3*f = -0*f. Suppose v*h - 14 = 10. Solve 2 = 2*y - 2*i, 4*y + 5*i = h*y - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18927.9 rounded to the nearest 100?\nAnswer: -18900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/16 and 5*(-27)\/(-450) - (-6)\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -61*x + 7. Let m(i) = 119*i - 12. Let g(c) = -6*m(c) - 11*u(c). Let v(d) = 2*d**2. Give g(v(s)).\nAnswer: -86*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 924 and 88.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 166\/14 + -3. Let u be 8 - (2 + -1)\/((-8)\/16). Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5415631 + -17?\nAnswer: 5415613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 20, -0.4 in descending order.\nAnswer: 20, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.6685us in seconds?\nAnswer: 0.0007426685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2365*v + 116345 - 5190 = 0 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5147104.\nAnswer: 2, 239, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 118*r**3\/3 - r**2\/2 - 1639. Let s(y) = -2*y**2 + 2*y + 4*y**2 - 2*y. Calculate s(d(g)).\nAnswer: 27848*g**4 - 472*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**2\/4 - 335*f + 22445 = 0. What is f?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 405 - 269. Does 34 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -210\/1453 - 34499\/595730. Find the common denominator of -69\/4 and d.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - g - 16 = 0, 0 = 5*d - g + 21 - 37 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.08977 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454600684 is divided by 1067.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) + (-1100)\/(-70). Let x = 18 - i. Solve -n = 5*z - 13, z = -x*z - 5*n - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 31, 46, 59, 70?\n\"Answer: -m**2 + 20*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*m = -100*m + 7. What is the least common multiple of m and (-2 - -4)*(-119)\/(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000150629155 to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1714, 3434, 5154, 6874, 8594, 10314?\n\"Answer: 1720*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 10*d**2 + 22.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x. Let t(z) = 4*z + 3495 - 3495 + 3*z. Determine 13*g(w) + 6*t(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*v = -1 - 3, -4*v + 2 = j. Suppose -4*b - 4 = -5*u, -b + 2 + 2 = 0. Suppose -c + 5*w + 9 = c, -28 = c + u*w. Which is smaller: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (41\/((-4920)\/(-8)))\/((-3)\/6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6096 is divided by 343?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/4))**(-13\/6)*(m*m\/(m*m*(m**0\/m)\/m*m))**35)\/(m*m**(-1\/3)*m**(-1\/2))**(-2) assuming m is positive.\nAnswer: m**(261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*m**3*t - 41*t with respect to m.\nAnswer: -1086*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u**2. Let h(i) = 17*i. What is a(h(k))?\nAnswer: -2312*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71\/316 - -2\/79. Which is the closest to p? (a) 0 (b) 2\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(6*sqrt(45)) - ((sqrt(11) + -1)*-3*-4)**2.\nAnswer: -1728 + 5185*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77598 - 24883. What is the ten thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1716*y**3 + 2092*y**2 wrt y.\nAnswer: -10296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005206 to four decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354611029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11250548?\nAnswer: 2, 79, 35603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51786208 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2394)*(6 - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14604 - 11089. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 3, -1, -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 73.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + k + 3. Let m = 8535 - 8538. Let r(s) = -2*s**2 + s + 3. Give m*r(a) + 2*v(a).\nAnswer: 2*a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzs when three letters picked without replacement from {w: 1, s: 1, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 9*q**2 + 11*q - 5. Let h be (-16)\/88 - 560\/(-55). What is y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = 3*j. What is the units digit of 35 - (2 + 2)\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -68. Suppose -4*n + v*n + 21 = 5*g, -17 = -4*n - g. Solve -11 = -n*x - 3*c, -4*x - 2*c + 26 = -4*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/9 + 1304*m**2\/9 + 10528*m\/9 + 7040\/3 = 0.\nAnswer: -4, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -5 + sqrt(192) + 2)*-4)**2.\nAnswer: -1280*sqrt(3) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-2) + 2\/(5 + -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c**3 - 1. Let h be v(1). Let g be 1\/(-4) - (-39)\/h. Solve -2 = g*a - a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23695 - 126?\nAnswer: 23569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/16)\/(2\/20). Let y be 4 - (-7)\/(-1) - o. Let u(h) = y*h + 1 - 3*h - 3*h. Calculate u(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 18 = x, -24 - 55 = -5*x - j. Let f = -1110 - -1140. Calculate the lowest common multiple of x and 160\/24*108\/f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g + 20, -f + 4*g + 209 = 0. Let o(x) = 4*x**2 + 11*x - 17. Let r be o(-11). Let u = r - f. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -155*h**4 - 5238*h**3 - 10783*h**3 + 154*h**4 + (0 - 2*h**3 + 0)*(-3*h + 6*h - h).\nAnswer: -5*h**4 - 16021*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**4\/8 - 3*c**2\/2 - 1. Let k(u) be the second derivative of a(u). What is the units digit of k(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jalq when four letters picked without replacement from {l: 1, x: 1, a: 2, k: 1, j: 1, q: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 9. Let i(f) = -5*f + 10. Let r(l) = -5*i(l) + 6*q(l). What are the prime factors of r(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 + 9*m + 3. Let x be n(-6). Let s = x - -31. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((6*(sqrt(325) + sqrt(325)*-1) + (sqrt(325) - -5*(sqrt(325) - sqrt(325)*-1)))*-1 + 4 + -3)**2.\nAnswer: -110*sqrt(13) + 39323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34892285202694534 - -34892284747466986.69999841. Let q = 455227540 + o. Let b = 7.3 + q. Round b to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*d - 131*d - 1064 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.002599672 - 0.0026. Round k to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11849184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p + 10*p)*(4 + 1 - 2)*((-1 + 3 + 0)*(0 + 1 + 1) + 2 + 1 - 4 + (0 + 0 - 2)*(-3 + 3 + 1) + 0 - 29 - 41) to l + w*p and give w.\nAnswer: -2484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 648*s - s**2 - 632*s + 3*s**2. Let t be k(-8). Which is the nearest to -1? (a) 1\/3 (b) t (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 + 5*r + 7. Let a(f) = -1 - f + 5*f**2 + 2 - 6*f**2 + 0*f**2. Let n(w) = 5*a(w) - s(w). Determine n(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-2)\/(-14))\/(((-3959)\/37)\/(-749)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.45 - -0.05. Let g(a) = -a - 11. Let w be g(-14). Suppose -5 = 5*p + 2*h, 0*p = -w*p - 5*h - 22. What is the closest to p in m, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -609, -7, -2, 3, -434.\nAnswer: -609, -434, -7, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a3001 - -50?\nAnswer: a3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-15) - 1\/(-3). Let x = -3 - -4. Let m = 3\/14 + -5\/7. Which is the second smallest value? (a) m (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 4*q + 2. Let i be (1\/1 + 0)*-3. Let s be c(i). Let x = 9 - s. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18966, 0 in decreasing order.\nAnswer: 18966, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + 2*l**2 + 2*l - 1. Let t(c) be the third derivative of c**5\/60 + c**3\/6 + 6970*c**2. What is 2*t(a) - w(a)?\nAnswer: 2*a**3 - 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50850396 or 50850397?\nAnswer: 50850397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1413 or 9434?\nAnswer: 9434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 19 = -5*h, -h = -2*o - 0*o - 2. Solve 4*p + 4*x = -8, 4*x - 2*x = -h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by -44?\nAnswer: -41\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.25905757 to three decimal places.\nAnswer: 0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(147)*2 + 3 + sqrt(147))**2.\nAnswer: 336*sqrt(3) + 1387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209808 divided by -124?\nAnswer: -1692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6730981460*z + 6730981460*z - 7*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((2\/(-220))\/((441\/(-90))\/49))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Let v = -38\/99 + 2851\/6138. Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(209) - (sqrt(209) - -1*sqrt(209))) + sqrt(209))\/(sqrt(66)\/(3*sqrt(6))))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8445 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6701 = -92*s - 905. What is the lowest common multiple of 1428 and s?\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.18003 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f - 66*f = 132*f - 4968. Solve -4*a - f = -3*c - 0*a, -5*a - 20 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463126281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -109 - 4ae?\nAnswer: -5b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87385749223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408189546?\nAnswer: 2, 3, 22677197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 + 111653628 - 111653628.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173\/63 + -26\/9. Let h = 108443 - 108446. Which is the fourth smallest value? (a) -4 (b) 2 (c) h (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29860 - -2717287\/91. Find the common denominator of (-4)\/10 - (-682)\/(-20) and z.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, p: 3}. Give prob of picking 2 t and 2 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.29498801 + -80.29482601. Let p = t + 80. What is p rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: Simplify -5 + (sqrt(13) - (sqrt(13) + (sqrt(13)*-1*5 - sqrt(13))))**2 + -1 + 3.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(170)*6)\/(sqrt(1440)*-1).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + 3*o - 2*o + 2*o - o + (1 + 2 - 1)*(5*o - o - 6*o) - 3 - 3 + 2*o + 5)*(-22 - 23 + 3)*(0 - 2 + 0).\nAnswer: -168*o - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-8))\/((-1)\/(-6)). Suppose -v*o = -0*o. Suppose o = -2*i, -2*t + 0*t + 3*i = -2. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 49393*o + 1037252. What is p(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -21 + 10 + 10 + 3 - j. Calculate o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43, -176, -389, -676, -1031, -1448, -1921?\n\"Answer: i**3 - 46*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -51. Put -37, 5, v in increasing order.\nAnswer: -37, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1856 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*c - 12, 6*j = j. Suppose 5*z + c*m = 4*z + 54, m = 4*z - 177. Calculate the greatest common divisor of z and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 5*z**2 + 6*z + 3. Let q be a(6). Let g be (2\/q)\/(2\/6). Suppose -g*b = -29 - 19. What is the greatest common factor of 60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((9 - (-6 + 17)) + (9 - 0)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 1. Let w(i) = -i - 21. Let x be w(-18). Determine h(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 4*u + 303. Give v(-19).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or -13\/23?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(19) + -2)**2*-2.\nAnswer: -51 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*k + 84*k - 8 = x - 85*k, 0 = 5*x + 4*k + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(3) + sqrt(3) + (sqrt(6)\/sqrt(2))**2 + 5 + 4.\nAnswer: -sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y = -37*y + 12. Suppose 0 = 4*i - y*a, -i - 4*a = -7 - 8. Solve g - 6 = i*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - 2*l**3 - 6*l**3 + (-4*l**2 + 5*l**2 + 0*l**2)*(-3*l + 3*l - 2*l) - 16*l**3 + 13865*l**2 + 27 + 14*l**3 - 14001*l**2.\nAnswer: -11*l**3 - 136*l**2 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 87, 216, 457, 846, 1419, 2212?\nAnswer: 3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 965*w**3 + 726*w**3 + 4*w + 284*w**3 + 1 - 22*w**3 in the form l + t*w**3 + i*w**2 + r*w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1583 + -0.1583. Which is the third biggest value? (a) -0.5 (b) 4 (c) s (d) 0.4 (e) 3\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10327 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1061 + -207036?\nAnswer: -205975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -409332082*v**5 - 22998985*v + 2 wrt v?\nAnswer: -8186641640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 13 = -5. Suppose 2*q - 8 = -0. Suppose -q*b + 4*x = -16, 5*b - b - x - 1 = 0. Is u <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 0 + 0)*(-5 + 5 - 3)*(-h - h + 0*h).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 6*j + 8. Let c be f(-6). Suppose 0 = z - 4*o + o - c, 2*z - 163 = 5*o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, 150, 5, 152.\nAnswer: -3, -1, 4, 5, 150, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -a?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 4*z - 10. Determine r(-7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0*(-5)\/(-10). Let g(t) = -t**2 - t - 16. What is g(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:03 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 269, 473, 855, 1475, 2393, 3669?\nAnswer: 5363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3414043 (base 5) in base 10?\nAnswer: -60523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + -1 + 11 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1073 is divided by 1064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 8*k - 8. Let i be w(6). Let c = -0.43855 + 0.37855. What is the nearest to 0 in i, c, -4\/7, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 192*n + 8. Let h(v) = -191*v - 4. Determine 3*h(o) + 2*q(o).\nAnswer: -189*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -43. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12\/13)*v**(1\/28)\/v*((v*v*v*v**(2\/19))\/v)**(-13\/5) assuming v is positive.\nAnswer: v**(-50909\/6916)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7))**11 assuming t is positive.\nAnswer: t**(-11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2245, -3364, -4481, -5596, -6709?\nAnswer: -7820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose 0 = -2*r, 3*x + r - t*r = 30. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:49 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:17 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.57 * -0.3\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13782 - 0.114.\nAnswer: 13781.886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*t**2 - 15\/4 - 3*t = 0. What is t?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 8*p**2 + 6*p - 6. Determine s(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from jojjssojs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 91 + 20\/(-4) + (-1 - -1). Let x = o - 47. Calculate the greatest common divisor of x and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*n - n + 49, 5*t + 19 = -4*n. Suppose 3*o + 66 = o. Let x be -8 + (o\/264 - (-78)\/(-16)). Is x at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*w = -289*w - 180 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 34687?\nAnswer: -34686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 5*x - 2. Let g = 1156 - 1151. Let m(d) = d**2. What is g*m(s) - b(s)?\nAnswer: s**2 - 5*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (21093 + 18324 - 3438 + 16496 - 11455)*(2*l - 2 + 2) in the form o*l + c and give o.\nAnswer: 82040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8141171917 + 8141171917 - 29*f**3.\nAnswer: -29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 36 - ((7 + 4 - 2) + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*o = -o - 23, -3*o - 5 = s. Let d(l) = -1 + 3*l + s + 7 - 7. Let z(v) = -3*v - 2. Let q(a) = 2*d(a) + 3*z(a). Give q(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13640 >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1161\/2 > -582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 + 3*l**2 - 3*l**2. Let w(n) = 114207*n + 114197*n - 228442*n. Calculate y(w(g)).\nAnswer: -4332*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1 (c) -6\/11 (d) -887\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2504, -2508, -2510, -2510, -2508, -2504?\n\"Answer: d**2 - 7*d - 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -366?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * -439\nAnswer: -1712.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - d + 1 + 102 = 0, -2*i = d - 69. Let y = 14 + 20. Let j = y - i. Solve 3*w + j*w + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 41, 55, 79, 113, 157, 211, 275?\n\"Answer: 5*g**2 - g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32.57726 times 5\nAnswer: 162.8863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/529 + 11 + (-14976)\/(-552).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + (-6)\/(-5 - 1). Let m(f) = -29*f - 85. Let z be m(p). Solve z*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 - -44. Solve 2*y + 0 = p for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvo when three letters picked without replacement from {v: 1, l: 1, r: 3, o: 3, p: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 2*d. Let h be n(-2). Let r be (-3128)\/h - 10\/(-35). Suppose -v + r = 7*v. Solve -3*k = -2*l - v, l + 8 = k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -21, -28, -35, -42?\n\"Answer: -7*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 10*j**2 + 8*j + 11. Let b be m(9). Suppose -b*v + 2*v = 4*v. Let g(k) = k**2 + 2*k - 2. Calculate g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 (base 9) in base 7?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -1. Let d = 0 - -2. Suppose -d*a + 14 + 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: What is the tenth root of 11479 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s + 72. Let z be p(-5). Suppose 5*y - 4*m - 5 = 0, -4*y - z*m - 10 = -8*y. Solve -3*v = -3*t + 9, -y*t - 2 = -t + 3*v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 109*o - 8. Is m(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 2*w - 4*l - 6, -4*l = 2*w - 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -277 less than or equal to -6525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:44 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21694938.3035 + 21739279.3. Let o = p + -44313. Let j = -28 + o. Round j to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 - 1790365*u**2\/3 + 801350813123*u\/3 + 801352603489\/3.\nAnswer: (u - 895183)**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/(m*(m**(-3\/8)*m)\/m))\/m)\/((m*m\/(m\/m**(2\/3)))\/m))\/(m**(-1\/3))**35*(m*m**(3\/5)\/m*m*m)\/m*m*m\/m**(-3)*m**(1\/6)*m*m**(-4\/5) assuming m is positive.\nAnswer: m**(2201\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10673280 divided by -6528.\nAnswer: 1635","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13294101031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1203033 * 0.1\nAnswer: 120303.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/4, 0.3, 3\/2, -1\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**4\/12 + j**3\/2 - j**2. Let y(u) be the second derivative of u**4\/12 + u**3\/6 - u**2 + 3*u. Let z be y(0). What is x(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9796249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 535 and 428?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m**(-11)\/m)**27 assuming m is positive.\nAnswer: m**(-459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y**(8\/7)\/y*y*y)*y\/((y**(-1\/7)*y*y)\/y*y)*(y**(2\/31)*y)**(-6\/5) assuming y is positive.\nAnswer: y**(-818\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1660, 3209, 4684, 6049, 7268, 8305, 9124?\n\"Answer: -6*f**3 - f**2 + 1594*f + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, x: 9}. What is prob of sequence vx?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 49\/366 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5719)\/(-516)*(-24)\/(-56).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*(-112)\/2940*-15?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/5 + -227\/35. Let l = 0.04 - 0.44. Which is the nearest to w? (a) -4\/5 (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*(-3 + (-26)\/(-6)). Suppose -x = -3*p + 24. Calculate the smallest common multiple of 10 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-140)*(-7 + 2) - (-646)\/(-420) and (-129)\/54 - (-2)\/3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 3. Let b = -130 - -128. Give p(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 29334?\nAnswer: 146670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 1173*y - 4644.\nAnswer: -3*(y + 4)*(y + 387)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + j = 4*j - 15, -2*m - 2*j = 0. Let y = m + 6. Let l be (-9)\/(-3) + (2 - 1)\/1. Solve -x + l = -y*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2092.332 - -2161.5. Let y = -230.8 - -230.468. Let m = y - l. Round m to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119865039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 46*s**2 + 17*s - 36. What is the units digit of z(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = 19*q - 17*q. Let b = q - -135. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 22 = -b, 31 = -5*l - 5*b + 41 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22\/3 (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.871 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 10*t - 352. Calculate the greatest common divisor of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 282544778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3917*i - 2296. List the prime factors of s(5).\nAnswer: 3, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -6*(2 + (4*(0 + sqrt(612)))**2)*-1 + -5.\nAnswer: 58759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2902 and 20.\nAnswer: 29020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3226 less than 0?\nAnswer: -3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6666 divided by 11\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 787505 and 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -19. Let p(s) be the third derivative of 0*s + 0 + 3*s**2 - 1\/12*s**f + 0*s**3. Let g(q) = 2*q**2. What is g(p(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 16. Let p = -1.0815 + 0.0815. Put 0.2, x, -0.3, p in increasing order.\nAnswer: p, -0.3, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17142*b = 17187*b - 376290. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**2 + 8*i + 51. What is p(-8)?\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*i - 1725, -10*i = q - 8*i - 564. Suppose -w = -q + 74. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 5. Let c be k(-4). Which is greater: 14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128644 + -85429. Suppose 3*r + 32391 = 3*u, -4*r + 8*r + 5*u = -x. What is r rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 7 = 5*p, 221*n + 11*p = 225*n - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 463 - 456. Let s(d) = 5*d**2 - 34*d + 7. What is the smallest common multiple of s(r) and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011110 (base 2) in base 10?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 - -149 - (0 + 1 + -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782331.8 tonnes to milligrams.\nAnswer: 782331800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256276 - 176480. Let w = k - 7181759\/90. Calculate the common denominator of w and 151\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1031520379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -9. Let z(g) = 3*g**3 + 5*g**2 + 5*g - 5. Let y(r) = -2*r**3 - 4*r**2 - 4*r + 4. Let t be 1 + ((-12)\/10)\/(6\/30). What is f*z(c) + t*y(c)?\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011110 - 11110011?\nAnswer: -100000010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 3*a**2 - 14*a - 13. Let w be k(-5). Solve -60 = w*b + 8*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(30\/25))\/((-3)\/(-1)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1 - 102*x**2 + 116*x**2 + 131*x**2. Let z be w(-1). Calculate the highest common factor of z and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 11 = -2*j + 3*j, 5*j + 1 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 330614, 3, 7\/2?\nAnswer: 330614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from kkovvkvvkbvkrkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 35*k + 5538. Calculate l(59).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 2 e when four letters picked without replacement from {e: 6, n: 3, w: 4, z: 4}?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 34308.42 decades in years?\nAnswer: 343084.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 - 7*o**2 - 2*o + 10. Let p = 25 + -29. Does 18 divide d(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:05 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + (-4)\/(-10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 133*z + 4383. Let n be r(60). Solve -4 = 10*o - 4*o + 4*l, -n*o + 4*l = -22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 q when four letters picked without replacement from {q: 2, c: 3, o: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6493 (base 10) to base 3\nAnswer: 22220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128446 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 249*p**2 + 2140*p. Let a(k) = -k**2. Let w(n) = -6*a(n) - u(n). Find the second derivative of w(d) wrt d.\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 17. Let q be w(10). Suppose 2*p = -9*v + q*v - 14, 3*p = -v - 17. Which is smaller: p or -22\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 352*o + 11840. What is q(31)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 887410368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/600 - a**5\/150 + 12*a**2 + a. Let l(v) = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(2520\/(-16)))\/((-4)\/(-14))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*y**3 + 10*y**3 + 174*y**3 - 2*y**2 - 4*y**4 to the form f*y**4 + l*y + g + t*y**2 + c*y**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppppvpppvv?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:14 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*n**2 + 56*n**2 - 17*n**3 - 115*n**2.\nAnswer: -17*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 53. Let h be -182 + (-4)\/8*v. Let b = -53 - h. List the prime factors of b.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1288 and 2800?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 800967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(1 + -5))\/(114\/(-152)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2187, -13, 6 in decreasing order.\nAnswer: 6, -13, -2187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 52. Let a be x(-26). Suppose 5*h + 4*r - 853 = a, 3*h - 5*h + 344 = 3*r. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0328370304 rounded to five dps?\nAnswer: -0.03284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 + 25635*i - 4141600 = 0.\nAnswer: 167, 4960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 43. Let k(n) = -735*n + 1467*n - 731*n. Determine k(i(z)).\nAnswer: 2*z - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 150418 times -50\nAnswer: -7520900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -0.3. Let y = d + -1.34. Let a = y - 0.06. Which is smaller: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 + -122 - (-2 - (7 + (8 - 4) + -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 11699630617*n + 23399261230*n - 11699630613*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*p + 13, 2*p + 5*v = -3*p - 30. Let j be 35\/45 + 0 + p. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 26. What is the units digit of (8 + -10)\/(b\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + 11 + -5 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 85*r**2\/2 - 5. Let s be z(-1). Let k = s - -134. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3244843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 14. Let m = -7 + 29. Suppose m + l = z. What is the remainder when z is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*r**6 + 280*r**3 - 289*r**2 + 4*r + 1 wrt r.\nAnswer: -6240*r**3 + 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d**3 + d**2 - 2*d + 1. Let w be q(2). Let c(y) = 11*y - y**2 + 1 - 4 - 8. Let o be c(8). What is the greatest common factor of w and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*y - 8 - 2 = 0, 6*b - 2952*y = -2958*y + 114 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12226885?\nAnswer: 5, 11, 131, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5364040?\nAnswer: 2, 5, 11, 73, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*f**2 + 21*f**2 - 12*f**2)*(3 - 3 - 2*f) to the form a*f**2 + x*f + o*f**3 + k and give o.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -27*v + 31*v + 2*a, -2*a = 5*v + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16141355189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 >= 45.7141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05609, -4, -2\/185 in increasing order.\nAnswer: -4, -2\/185, 0.05609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - -4 - 0) + 3 - (186 + -198)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21605249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 42 = 7 + 59 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4585.1229 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5 + 5. Let o(s) = -s**3 + s**2 + 8. Let f be o(0). Suppose -3*z = -3*r, -4*r - 3*z = f - 1. Sort 3, r, m.\nAnswer: r, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, p: 4}. What is prob of picking 3 p and 1 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))\/i)**22*i**(1\/3)*i\/(i**15*i*i) assuming i is positive.\nAnswer: i**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(4) - (sqrt(4) - sqrt(4)*4)))**2 - sqrt(3) - (sqrt(105)\/sqrt(7))\/sqrt(5))*4.\nAnswer: -8*sqrt(3) + 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 57*v - 508. Let n be q(9). Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 502*u + 36857. Let q be t(65). What is h in 125\/4 + 115\/2*h**q - 15*h**3 - 75*h + 5\/4*h**4 = 0?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0, -2\/7, 9, 1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/8))**(4\/5)*(n**(-3\/7))**10)**(-7) assuming n is positive.\nAnswer: n**(279\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 41213000 (base 6) to base 9\nAnswer: 2204000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -9.8. Let b = w - -1.139. Round b to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*s**3 - 134736*s + 2455678 wrt s.\nAnswer: -12*s**2 - 134736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380058817 to the nearest integer?\nAnswer: 37149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 3. Suppose -r - 4*r = 0. Let c be (-1)\/2*(r - 34). Suppose f + c = 11. Determine l(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 628*m. Let q(h) = 3*h**2. Calculate q(b(s)).\nAnswer: 1183152*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*t + 64*t - 126 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2 - 23*b + 14. Let l be q(7). Is l at least as big as 16\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 11. Let z(h) = 5*h + 12. Let d(i) = -4*t(i) + 3*z(i). Let n be -3 + -1 - (0 + -4). Calculate d(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10 and 109\/1164.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -97*z - 1735. Calculate p(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22851 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**3 - 14*r**2 - 3*r + 53. Is 82 a factor of h(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2264 times -1\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 7 + 11. Suppose 22*t - 39 = 9*t. Let w(v) = v - 6. Let m be w(6). Solve 3*f - 15 = 0, t*x + 3*f - 6*f + r = m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34071.5 hours in seconds?\nAnswer: 122657400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 14*f**2 - 1290*f - 21186. Determine u(-16).\nAnswer: -1058","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -2.88\nAnswer: 0.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 + 5)\/2 + (-1 - 1) + 478 is divided by 268?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3076, 6247, 9504, 12859, 16324, 19911, 23632, 27499?\n\"Answer: 2*s**3 + 31*s**2 + 3064*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -44*r. Let l(m) = -92171*m. Give l(x(b)).\nAnswer: 4055524*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2494\/13 + -192. Let r be 135\/18 - (-3)\/2. Suppose r = l + 2*z, -5*z + 15 = 5*l - z. Which is the closest to l? (a) 2 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 12719120*z**2\/3 + 20222014415914*z\/3 - 40443977955364\/3.\nAnswer: 2*(z - 3179779)**2*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78507520 and 166478.\nAnswer: 8762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x + 3, 0 = 4*f - x + 4. Suppose -10 + f = -5*m, -r + 5*m - 10 = 0. Solve -3*g - 2*g = r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68578 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*y = -y + 10, -4*i - 4*y + 8 = 0. Suppose -4*h = 3*o - 10, 5*o - h - 29 - 3 = i. What is the smallest value in 4\/3, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, i: 4, e: 10, k: 1, z: 2}. What is prob of sequence kp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001932751 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2 (b) 2 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 399\/(-6) - 3\/(6\/1). Let p = 70 + r. Suppose -2*h = p*j - 6*h - 167, h = j - 56. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8370587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 12 + 20 + 8 - 120)*(5*j + 0*j - 3*j) as g + h*j and give h.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3340 - 3342. Which is the smallest value? (a) 54 (b) 5 (c) y (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.7 in 1\/5, 2\/11, 21, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 38*l + 5. Let i(v) = 39*v + 4. What is 5*i(k) - 4*n(k)?\nAnswer: 43*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -599 + 602. Which is the biggest value? (a) h (b) 57 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 49*i**2 + 140*i**2 - 69*i**2 + 4*i - 41*i**2.\nAnswer: -19*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1567 + 1573.91. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 3*s**3 - s**3)*(-s**2 - 5*s**2 + 5*s**2) + (-21 - 7*s**4 + 21)*(-s - 5 + 5).\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:19 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -1\/28, 4\/11, -15\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72\/5 of a milligram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 - p**2 + 11*p**2 + (-71 - 12 + 1)*(-2*p - p**2 + 2*p) + (3 - 2 + 1)*(p - p - 2*p**2).\nAnswer: 85*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224831614 and 3962?\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 + -21.66. Let y = -32 - -12. Let t = y - o. What is the third smallest value in -0.5, t, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-319 + 449 + 354)*(0*y + 0*y + 4*y).\nAnswer: 1936*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3*c - 9 + 0*c - c + 2*c + (-c + 0*c + 0*c)*(1 + 1 - 3))*(-11 - 4 - 6).\nAnswer: 21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5769923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 13752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -10*a + 6. Solve -15*z = -a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44176 is divided by 496.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6514 * -5.2.\nAnswer: 33872.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v - 1174. Is (-4)\/18 - v\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q - 239. Let c(w) = -36*w**2. Give l(c(s)).\nAnswer: -72*s**2 - 239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(2)*1 + -3)*3)**2*4 + 4 + 5 + sqrt(32) + 3.\nAnswer: -212*sqrt(2) + 407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 9:57 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12400*t**3 - 23886*t**3 - 72593*t**3 - 55764*t**3.\nAnswer: -164643*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -1) + (-115 + 75 - -43)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314482452.\nAnswer: 2, 3, 19, 47, 29347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749045779 is divided by 140.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1207278 and 6.\nAnswer: 1207278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*q + 4*q - 7, 5*f + 5*q - 5 = 0. Suppose -4*s - 5*r + 108 = -3*r, -f*r + 36 = s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3662 - 3662 + 256653*h**3.\nAnswer: 256653*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -31*q + 1322. What is the least common multiple of k(42) and 7000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (139 - 7)\/(-3)*(0 + -1). Calculate the common denominator of ((-1900)\/(-2166))\/(w\/(-3)) and -13\/20.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -670 - -658.87. Let u = x + 11. Round u to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(81)\/sqrt(3))**2 + -2 + 0.\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + 22. What is the third biggest value in s, -2, -2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 + 99*s**2 - 6*s + 9. Let h(d) = 21*d**3 - 419*d**2 + 25*d - 36. Let w(a) = -17*f(a) - 4*h(a). Determine w(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 + 282 = 16*t - 40*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 5271.648008 and 0.09.\nAnswer: 5271.738008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918265446 less than -5?\nAnswer: -1918265451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*h - q, -5*h + h - 3*q = -17. Let r(o) be the first derivative of -2\/33*o**3 - 8\/11*o - 3 + 4\/11*o**h. Factor r(j).\nAnswer: -2*(j - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12381\/3944 + 7\/493. Let y(z) = z**3 + 4*z**2 + 8*z + 6. Let c be y(-3). Let g = c + -4. Calculate the common denominator of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-64)\/20)\/4*(-5)\/(-10). Sort 13, t, 0.4 in ascending order.\nAnswer: t, 0.4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47448523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 144*a**2 - 20*a - 56. Let b(s) = 49*s**2 - 7*s - 19. Let f(d) = -11*b(d) + 4*g(d). Differentiate f(l) with respect to l.\nAnswer: 74*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189051)\/10865*15\/(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sesk when four letters picked without replacement from {u: 4, k: 1, s: 2, e: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2*r**2 + 2*r**2)*(-2*r - 1 + 1) - 3*r**3 + 2*r**2 - 2*r**2 - 3*r**3 - 19*r**2 + 19*r**2.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223006338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-336))\/(6\/4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -481317 divided by -1933?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/180 and -83\/56.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/11, 1\/9, -0.142673.\nAnswer: -0.142673, 1\/11, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 79.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10 = -6*c - 5*b, 4*c = -b - 8. Let y(k) = -385*k + 6. Does 15 divide y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18613*u + 1440 = 18733*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.3 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/((t*t*t**0*t)\/t)))\/t)**(-5)\/((t*t**(-2\/9))\/(t**(-17)*t)))**42 assuming t is positive.\nAnswer: t**(-2744\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6.5 * 0.217\nAnswer: 1.4105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26270 (base 8) to base 14\nAnswer: 425a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uccuufuuukuukkkkkkr. Give prob of picking 1 u and 1 f.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 - 10*d + 4. Let o(n) = -5*n**2 + 12*n - 4. Suppose -70 = -4*q - 58. Let y(t) = q*o(t) + 4*l(t). Factor y(s).\nAnswer: (s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205c1ac (base 13) to base 11.\nAnswer: 55aa26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/((-8)\/(-3))*(-150)\/45. Suppose 0 = a + 4*a. Suppose -5*o + r + 11 = a, -2 = -3*r - f. Solve -5*n - 24 - 6 = -2*t, o*t + 5*n = -10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 71*u**2 - 2*u. Let z be m(2). Suppose -r + 5*v = 1, -3*v - 14 = 2*r - v. What are the prime factors of z\/r*(-30)\/25?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 2 - -1) + -3 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 13) in base 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-49181)\/2618 - -19*1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 2*n**3\/3 + 492*n**2 + 121032*n - 453. Factor p(u).\nAnswer: 2*(u + 246)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-87)\/(-21) + -4)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 13*a - 5*a - 8*a**2 in the form i*a + n + y*a**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -3\/5, -5, -7 in increasing order.\nAnswer: -7, -5, -3\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 + 3*j**3 - 7*j**2 + 0*j**2 + 4*j**2.\nAnswer: 3*j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 328984 and 1448366.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 z when three letters picked without replacement from {o: 1, c: 3, z: 3, f: 2, d: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose 4*y = h*y + 2. Let s(c) = c**3 + 6*c**2 - c + 2. Let v be s(-6). Calculate the greatest common divisor of v and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 393fa - 7?\nAnswer: 393f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1084 + 1263. Calculate the remainder when i is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79136 and 864.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 153*q + 922. Calculate the remainder when k(-5) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {b: 2, h: 2, e: 1, s: 2, r: 8}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 3*f - 1. Let d(k) = -2*k + 1. What is 6*d(y) + 4*t(y)?\nAnswer: 4*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -11 + (-2 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-24) - 14\/4. Let c(x) = 4*x - 1. Let y(k) = 4*k - 1. Let z(i) = g*c(i) + 4*y(i). What is z(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2.5. Let l be ((-6)\/21)\/((-1)\/7). Let i be l*1\/(-9) - 38\/(-9). What is the nearest to 2\/7 in i, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(8\/(-2)))\/(3\/(-36))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 2. Suppose -3*q + m*d = 21, 0*d - 29 = 3*q + d. Suppose 581*z - 574*z = -56. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.917 - -4.93. What is y rounded to 0 dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 12 - x**3 + 11*x**2 + 4 - 13*x - 4. Calculate the remainder when 71 is divided by r(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372.16 - -3189.06. What is b rounded to the nearest 10?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -93. Let q(h) = -8*h + 3. Let s(r) = 3*r - 1. Let y(i) = u*q(i) - 3*s(i). Let k(a) be the third derivative of 13*a**5\/20 + 2*a**2. Give k(y(d)).\nAnswer: 39*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 5)*(z**2 + z**2 + 0*z**2 + 3*z**2 + 2*z**2 - 6*z**2 + (0*z - z + 0*z)*(-2 + 2*z + 2)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.9. Let b = -1 - i. Let k = 1232 + -1246. Sort k, 2\/7, b in ascending order.\nAnswer: k, b, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 2\/3, -2\/7, -1.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36017.\nAnswer: 36017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 398*i + 190*i**2 - 476*i + 278*i**2 - 6 wrt i.\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 17. What is a rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13958 + 13970. What is the nearest to -2 in y, 0.5, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2539024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:01 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 5:02 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and 192979.5057.\nAnswer: 192979.4157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, c: 1, y: 2, w: 11}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.93 + -2.2. Let n = z + -0.03. Which is the closest to 0? (a) n (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 97*o**2 + 1059*o - 12. Give a(-10).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.35 - -95.35. Let u = c + -90. Let x = 33 - 98\/3. Sort u, 5, x.\nAnswer: x, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -8\/3 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/(6*(-11)\/(-726))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(1\/4))**19\/((c\/((c\/((c*c**(2\/9))\/c))\/c))\/(c\/(c*c**(-3)*c))))\/(((c\/((c\/c**3)\/c))\/c**6)\/(c\/(c\/(c*c\/c**(-2\/7))*c)*c**8)) assuming c is positive.\nAnswer: c**(6631\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056316692 to seven decimal places.\nAnswer: 0.0000563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/45 and 79\/1165750.\nAnswer: 10491750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1214114 (base 5) to base 10\nAnswer: -23034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/6900*-40)\/((2\/(-25))\/(2*1))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12560 + 12602. Put -1\/4, 4, w, -4, 2 in decreasing order.\nAnswer: w, 4, 2, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/252 and -67\/24.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001201 (base 3) to base 9.\nAnswer: -2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*d = 1392*d - 18964 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s. Let a(z) = 1566*z**2. Calculate t(a(m)).\nAnswer: 3132*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/267 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 12*s = -25. Sort s, -2, -1, 2 in descending order.\nAnswer: 2, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -o + 2, 34*o + 2*p - 10 = 29*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 178 - 126. Let l = a + -26. Let n = l - 24. Sort n, 0.05, 5\/3.\nAnswer: 0.05, 5\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 6231?\nAnswer: 622d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1784257?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1817352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/25, 0.0458, -2, -3?\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0847 and 22?\nAnswer: 1.8634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/3 - -1)*-2*(-16323728)\/(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111001011 - 101?\nAnswer: 10100111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264*u + u**2 + 264*u + 4)*(2 - 4*u + 2*u + 4*u).\nAnswer: 2*u**3 + 2*u**2 + 8*u + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + -187 + -14 + 104.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**4 + 11*l**3 - 11*l**3)*(0 + 3 - 2).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*i - 6*i + 3*i**2)*(-883 + 863 - 3*i + 15*i) to the form f + z*i**2 + g*i + j*i**3 and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 46*y**3 - 172*y + 3483?\nAnswer: 138*y**2 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) - 138\/(-12). Suppose 3*j - 2*o = 7, 5*j + 2*o - 5*o - t = 0. Put -5, -2, j in decreasing order.\nAnswer: j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 2. Let l be a(2). Suppose l*d - 27 = 7*d. Let g(b) = 4 - 4 + 0 - b. Calculate g(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8699.\nAnswer: 8699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.002 + 0.102. Which is the biggest value? (a) i (b) -4 (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 584*r + 6313. What is y(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/40*4\/21*3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 85\/102 - ((-248)\/196)\/((-108)\/63)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 20*k. Let l be (-4)\/16 + (-1481)\/(-20). Let p = l - 74. Is k smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z = 175*z + 1441 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134287 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and 29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265664036 a multiple of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8369281 kilograms?\nAnswer: 836928100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/(-12) + 3 + 8\/(-24). Suppose w = -4*r - 69 - 51. Is r < -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 6. Let o = u - 4. Let t = -13 - -12.7. Which is the second smallest value? (a) 0 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**3 - 297*s**3 - 425*s**3 + s to l*s**3 + n*s + y*s**2 + z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + (-2 - 2) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 3*x**2 + 2*x + 4. Let u(h) = 23*h + 11. Let n be u(0). Let l(b) = 21*b**3 - 16*b**2 - 11*b - 20. Calculate n*t(s) + 2*l(s).\nAnswer: -2*s**3 + s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y + 1. What is the units digit of i(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - (-2 + 5))\/((-2)\/(-2)). Suppose 0 = -9*k - 12*k - c*k. Find i such that 2\/15*i**2 - 2\/15*i + k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u**(2\/23)\/u*(u**(-2\/31)*u)\/(u**4*u) assuming u is positive.\nAnswer: u**(-5688\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 434*f + 19963. Give u(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/824?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1. Let b(r) = 62*r**2 - r - 63. Let i(p) = b(p) - 2*v(p). Find the first derivative of i(l) wrt l.\nAnswer: 124*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 1\/(4*30\/(-696)). Let v = -2.2 + 0.2. Which is the closest to -0.2? (a) l (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/2))\/(q*q*(q\/(q\/(q\/q**(-4))))\/q*q*q*q))**(2\/19) assuming q is positive.\nAnswer: q**(-15\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 111, 237, 363, 489?\n\"Answer: 126*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-54))\/(40\/50)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 837, 832, 827?\n\"Answer: -5*h + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11089669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, u: 6}. Give prob of sequence umm.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1130, -1125, -1116, -1103, -1086, -1065, -1040?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 249 - 0 - (7 - 7). Suppose -2*x - 3*x - s = -4*w, -4*x + 57 = w. Let d = 11 - -5. What is the remainder when w is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -608\/7 - -87. Let z = 0.1503 - 0.0503. What is the closest to -0.5 in c, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126559 + 25208 = 27*x. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/5*25\/(-30)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5037061*f**3 + 5194010*f**2 + 3*f wrt f?\nAnswer: -30222366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2831, 5690, 8547, 11402, 14255?\nAnswer: 17106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 59*n**3 - 2*n**2 - 10*n + 2. Let c be u(6). Is -1*((-2)\/9 - c\/18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 times -3607\nAnswer: 119031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -34, 20.6, -337 in increasing order.\nAnswer: -337, -34, -25, 20.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/25083832 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 210150786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/4*2180\/(-3270)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 - -172. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 30. Let j be l(-9). What is the highest common factor of 32 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2555272 is divided by 69061.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3101 - -0.026.\nAnswer: -3100.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*z = -31, 0 = -4*b + 596*z - 620*z + 316 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-15))\/((-54)\/1035*-23)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*i**2 - 1 + 31 + 1 wrt i?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5\/((-25)\/10))\/(1\/37). Let r = -516\/7 - j. Which is the second smallest value? (a) r (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3301 is divided by 1051.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 10175?\nAnswer: -10176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.633 * 0.2\nAnswer: 0.1266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16551 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1063289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -221230 (base 6) in base 8?\nAnswer: -44022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7958 - 55740\/7. Which is smaller: 301 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18960 and 69520.\nAnswer: 208560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let f be (-2)\/6*((-1968)\/(-276) - 7). Do f and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2643111 and -2643112 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-14 + 44))\/(-2 - -1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 >= 533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23098661, -23098663, -23098665, -23098667, -23098669?\nAnswer: -23098671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1 - 6*c + 6 - 2 + c + c**2. Determine a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + accad?\nAnswer: accbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.32 - 0.18. Let v = 211 + -1901\/9. What is the closest to 1\/2 in -1, x, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtyppjjjwjyyyjtjj. Give prob of picking 2 y, 1 w, and 1 t.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4670 + 4669.7. Which is the second biggest value? (a) l (b) -2\/9 (c) 5.47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -32*o - 5. Let x be y(-5). Suppose -5*d + x + 100 = 0. Calculate the remainder when d is divided by 20 + (5 - 1) - -3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**3 - w**2 + 3*w**3 + w + w**3 - 2. Let d = 5 - 3. What is the units digit of n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 25*o**6\/6 + 17*o**2\/2 - 18. What is the second derivative of h(d) wrt d?\nAnswer: 500*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.566116kg?\nAnswer: 6566116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 18. Let x(h) = -h**3 - 3*h**2 - 3*h. Let u be x(-2). Let f be (-1)\/((-3)\/12*u). Solve -j - d = 2*c + 3*c, -f*c - 4*j = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*-2*3)\/(sqrt(343)*-1).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.97 + 0.03. Let a = 4.9 - m. Put 0.2, 4, a in ascending order.\nAnswer: a, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*h - 440*r + 437*r, 0 = 2*h - r - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:17 AM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6179 = -35*w + 34*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*(s*s*((((s\/s**(-15))\/s)\/s)\/s)\/s*s*s*s*s)\/s*s))\/s**32)**4)**(-7\/5) assuming s is positive.\nAnswer: s**(1428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29200407 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/401, 4, 7399, 0.02 in ascending order.\nAnswer: 1\/401, 0.02, 4, 7399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erge when four letters picked without replacement from lgllgelre?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.7 + -8.48. Let f = -0.28 - b. Is -1\/5 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/58*1\/4. Which is the second biggest value? (a) -7 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -717*c**2 - 8*c + 2. Let l(t) = -358*t**2 - 3*t + 1. Determine 5*l(y) - 2*n(y).\nAnswer: -356*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 79431176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2511674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:12 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -13*f**8\/336 + f**6\/30 + 133*f**5\/20 - 287*f**2. Find the third derivative of r(x) wrt x.\nAnswer: -780*x**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -478, -966, -1454?\nAnswer: -1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - f + 3 - 2*f**3 - 1 to the form a*f + t + l*f**3 + o*f**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000302745 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 265 (b) 1 (c) -1 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58128415 divided by -5?\nAnswer: -11625683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -125*g**3 - 2*g - 5558. Let o(i) = 5*i. Calculate z(o(r)).\nAnswer: -9375*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + x - 2477 + 296 = 0, 5*x = 2*g - 2211. Does 103 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -6, 14 in decreasing order.\nAnswer: 14, -6, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 33 + (1 - 0). Suppose -2*b + v + 4 = -16, -3*v - l = -3*b. Find the first derivative of b - 3 + 3*y**2 - 2 wrt y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7043*y**3 + 13999*y**3 - 7008*y**3.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81546, 81514, 81486, 81462, 81442?\nAnswer: 81426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 176940233 or 176940235?\nAnswer: 176940233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (116\/9 - 3) + 3\/27. Solve -o*h = -3*h + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -1, -1.9, 4 in decreasing order.\nAnswer: 4, 2\/19, -1, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 55392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 234*q - 244*q - 120 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(1160\/348 + -4 + 0) + 108\/(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i = 0. Solve -3*h = 5*d + 2*h + 40, 5*d - 2*h + 5 = i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 - 585\/8. What is the smallest value in y, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38648, 38661, 38688, 38735, 38808, 38913, 39056?\nAnswer: 39243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 5*u - 3*u + 0*u + 3*u - 5*u + (2 - 3 - 1)*(-u + 4*u - 2*u) + 5 + 4 - 8 + 16*u.\nAnswer: 14*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 341 divided by 174633\nAnswer: 341\/174633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 91?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46009 to the power of 1\/2, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 2*h, -24*t + 27*t - 5*h = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 35*f**3 - 20. Let z(b) = 3 + 2 - 2 - b**3 - 4*b**3. Calculate 3*q(c) + 20*z(c).\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/120 and (-4 + (-318)\/(-80))\/(3\/(-596)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573113504.\nAnswer: 2, 3347, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 0.5. Let w = -10 + 12.7. Let l = g - w. Which is smaller: 0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/12, 5, -3\/121?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -13*m - 13. Solve m*z - 15 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409729.3nm to micrometers.\nAnswer: 409.7293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -119971.69 times -0.6?\nAnswer: 71983.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 521909964\/27 - (3 - 52\/12). What is i rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2*(-532)\/(-114). Let k be 512 + u\/((-42)\/24). Calculate the greatest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 1\/4 (c) 171 (d) -58.637 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 66 - 4 - (-8 + -12 + 43 + -26).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.22076 months to centuries.\nAnswer: 0.0435173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 10 - (116 + (-159)\/3).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 75.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 754 - 530. Calculate the lowest common multiple of y and 20.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713910 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 103458650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 35\/26 + (-300)\/200. What is the nearest to -2\/7 in t, -3\/8, -1\/10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - 3*y)*(26 + 58 - 104).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*t + 4*z, 5*t + 168063*z - 11 = 168066*z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 2*t**4 - t**4 + 0*t**4 + t**4 + 2*t**4 + 3*t**4 - t**4 - t**4 + (-2 + 2 + 2*t)*(2*t**2 - 2*t**2 + t**3) - 5*t**4 + 6*t**4 - 3*t**4.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-30) + 20\/(-132).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391985651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 - 2*v**3)*((4 + 1 - 3)*(0*v - 3*v + 5*v) + 17 - 17 - v) - 2*v**4 - v**4 + 0*v**4.\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 603, 1708, 3307, 5400, 7987?\nAnswer: 11068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**3 + 11*k**2 + 3*k. Let i be y(-2). Let d be 72\/i + 2 + 420\/102. Solve 0*f = -f - d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3 + (-2 + 0 + 0)*(1 + 3 - 3))*(-7 + 0 - 4)*(r**3 - 2 + 2) + 8*r**3 + 7*r**3 + 0*r**3 as n*r**2 + c*r**3 + d + w*r and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwwwwwwwh. What is prob of picking 1 w and 2 h?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -37*w + 38*w + 59 - 44. What is p(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14*h - 80. Determine r(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*d - 14, 0 = -5*d - 0*q - q + 35. Suppose i + 11 = 4*s, -2*s = s - 2*i - d. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(sqrt(180)*-3 + (1 + sqrt(80) - ((sqrt(10)*2)\/sqrt(2) - sqrt(5))))**2.\nAnswer: -150*sqrt(5) + 5628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.974 + 0.026. Let j = 3.68 - 47.68. What is the fourth biggest value in j, 3\/7, -0.5, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 185, -1, -9, -4?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**5 - 15*z**4 + 87*z**3 + 111*z**2 - 84*z - 96 = 0. What is z?\nAnswer: -8, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, 9, 480, 1709, 4026, 7761, 13244, 20805?\nAnswer: 30774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -8. Suppose u - 22*w + 18*w - 22 = 0, -14 = -2*u + 2*w. What is the smallest value in u, s, -0.22, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(3 + 41 + 75)*(1 - 1 + 2*p).\nAnswer: 238*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbhxhkhhhxmx. What is prob of picking 1 k and 2 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3732199.\nAnswer: 307, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:28 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/757 - 50619\/15140. Let n = -7691\/5 - -123461\/80. Calculate the common denominator of n and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2)\/((t\/(t\/t**(-2\/3))*t*t)\/t))\/((t\/((t\/((t*t**(2\/5))\/t))\/t)*t)\/t**5))\/((t**(1\/4)\/t)**(-30)\/((t*t**(1\/2))\/t)**(-2)) assuming t is positive.\nAnswer: t**(-341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*i - 131*i - 70 = 0. Let x(c) = c**3 + 13*c**2 - 15*c + 12. Let k be x(i). Calculate the highest common factor of k and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*t + 164, f = -3*t + 2*f + 246. Suppose -t*m - 18 = -84*m. List the prime factors of (-915)\/10*(3 + (-33)\/m).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 - 8*z + 3. Let q(o) = 23*o**2 + 24*o - 9. Determine 11*f(t) + 4*q(t).\nAnswer: 4*t**2 + 8*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 - -3079\/18. Let t = 960 + -958. Which is the closest to 0.1? (a) -1 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 2. Let z(n) = 7*n + f + 16*n + n. Is z(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 53*j**7\/21 - 4*j**4 + 24*j - 83. Let h(d) be the first derivative of u(d). Find the third derivative of h(v) wrt v.\nAnswer: 6360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-532)\/193914*21\/(63\/9)*(0 + -1).\nAnswer: 2\/243","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2546*l - 4. Let g(h) = 3833*h + 6. Calculate 7*b(d) + 5*g(d).\nAnswer: 1343*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlaahmu. What is prob of sequence aa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -18937231, -18937223, -18937211, -18937195, -18937175?\n\"Answer: 2*d**2 + 2*d - 18937235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 6:30 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34232089?\nAnswer: 41, 563, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 5. Calculate b(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77067 divided by 3?\nAnswer: 25689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a week in minutes?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 15. Let i be (4\/(-2))\/2 + -1. Let z be (1 + -1)\/(3 + i). Solve -a - m = -z*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-3*i**3 + 5*i**3 + 9*i**3) + (i**2 - 2 + 2 + 0*i - 2*i**2 + 0*i + (-3 - i**2 + 3)*(3 + 0 - 1) - 8 + 3 + 2*i**2 + 2)*(-3*i + 7*i + 0*i).\nAnswer: 18*i**3 - 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-144))\/((-6)\/120*-5)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9. Let y = 0.1 - u. Sort -1\/4, y, 3.\nAnswer: -1\/4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.5 - -12. Let x = 2 + -1.9. Let s = -0.26 - -0.36. What is the closest to x in j, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -24. Let b be 4\/(-38) + (-39 - (-12690)\/342). Sort b, t, 4 in decreasing order.\nAnswer: 4, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i**2 + 2*i**3 + i - 6*i**2 + 5 - 31*i**2 - 15*i**2 in the form q*i**3 + l*i + p*i**2 + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -531.94618 - 16333.1.\nAnswer: -16865.04618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 2*f + 0*f)*(1 - 2 - 1) + (3 + 3 + 4)*(-f - 7*f - 14*f - 9*f) to k*f + x and give k.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 10*t + 250256 = 7*t, -t + 2252276 = 9*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + j. Let x(d) = 15*d**2 - 12*d. Let p(k) = -36*w(k) - 3*x(k). Let a(s) = 2*s. Give a(p(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 41. Let o(r) be the first derivative of -2\/5*r + 2 + 2\/5*r**2 - 2\/15*r**c. Factor o(h).\nAnswer: -2*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 162, 171, 182, 195, 210, 227?\n\"Answer: t**2 + 6*t + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.023, -3, -123, 986 in ascending order.\nAnswer: -123, -3, -0.023, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -149*t**2 + 13*t - 480. Let k(i) = -447*i**2 + 41*i - 1439. Let n(x) = -6*k(x) + 19*w(x). What is the second derivative of n(d) wrt d?\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y + 0 + y**2 - 1\/6*y**3. What is the units digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 545663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9972 divided by -4.\nAnswer: 2493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2. Suppose -66 = -6*d - 54. Let t(s) = -1 + 8 - 7 + 34*s**d. Give m(t(l)).\nAnswer: 3468*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.8, 1199, -3\/8, 15, -2\/9, 1 in decreasing order.\nAnswer: 1199, 15, 1, 0.8, -2\/9, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2545*y + 28 = 2538*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, g: 5}. Give prob of picking 2 n and 1 g.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4074 >= -4075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -277.921 + 278. Let z = r + 0.006. Which is the second smallest value? (a) 1\/6 (b) -1 (c) -2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8268 and -8274 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*q + 80, 5*q + 20 = -0*l - 2*l. Suppose -1 = -3*u + 116. Let a = u + l. What are the prime factors of a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/(-138))\/((-4)\/120*1)*1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3175 or 3174?\nAnswer: 3174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v - 2, v - 21 = -q. Suppose 0 = 24*o - q*o - 16. Calculate the remainder when 19 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162612027 divided by 123\nAnswer: -1322049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 76146 divided by 259\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 17*c - 68 = 6*f, 121*f = 125*f - 3*c + 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - sqrt(168)\/(sqrt(7) + (sqrt(7) + sqrt(14)\/sqrt(2) - sqrt(7))))\/sqrt(8).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*d + 1997*d**2 - 186*d - 71*d.\nAnswer: 1997*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6099943l?\nAnswer: 609.9943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 h, and 1 d when four letters picked without replacement from {o: 2, t: 4, h: 1, d: 8}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 + -139. What is the nearest to -0.06 in -2\/11, 3\/4, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 1\/60*j**5 + 0*j + 0*j**3 + 0 - 7\/24*j**4 + 4*j**2. What is q(4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -161 + 26?\nAnswer: -13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/3*2. Let x = d + 1. Solve 6*z = 2*z + x*c - 2, -z - 2*c = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 991 = 3*o + 993, 0 = 2*o + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 - u**2 - 4*u**2)*(4*u - 5*u - 2*u) as h + d*u**2 + t*u + n*u**3 and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 10*v - 1. Suppose -4*h + 2*j + 51 = h, -h + 3*j + 5 = 0. Let d be t(h). Solve -3*w = 1 - d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2447496 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from guagggvagug?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n - n**2 + 5*n**2 + 7 - 4*n**2 + n**2. Suppose 0 = 4*r - 7*r + 24. What is the remainder when i(8) is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 + -3. Let v = i + 0.3. Suppose 23 - 7 = 4*x. Put x, v, -5 in decreasing order.\nAnswer: x, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 3*d - 4. Determine x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 2*r - 5. Let s(a) = a**2 + 3*a - 5. Let l be s(r). Calculate the least common multiple of 9 and l\/(-2)*48\/(-20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(704) + -4*sqrt(704))**2 - sqrt(704)))*-5 + ((sqrt(11) + sqrt(704)*4 + sqrt(11))**2 + sqrt(11) + -2)*3.\nAnswer: 43*sqrt(11) + 6477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 1, i: 1, q: 1, w: 1, j: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*h = 504 - 132 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38736913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*d + 16*d - 27*d - 2*d**2 + 33 in the form w + b*d**2 + l*d and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10283827\/635 + -16195. Let p = b - -1877\/8890. Let l(f) = -f**3 + 4*f**2 + f - 3. Let w be l(4). Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161292461767\/7650 - -21083982. Let w = b - 6\/425. What is the smallest value in -5, 2\/5, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 430 + 25. Solve w = -5*f + 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:40 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*d + 21, 0*d + 5*d = -4*o + 9. Solve 0 = 7*n - d + 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 6, -133, -3\/8, -5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5115 rounded to 2 decimal places?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 296\/154 - (-4)\/(-14). Let i(v) = v**2 - 4*v + 4. Let d be i(4). Suppose 0*t = 4*t - d. Which is greater: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 208, 209, 208, 205, 200?\n\"Answer: -d**2 + 4*d + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 5)\/((-7)\/(-28)*-4). Let q be 102\/(-17)*(-1 + n). Solve -12 + q = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tahik. What is prob of sequence at?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -4, -96, 0.5, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -986516*n**3*w - 2*n**3 - 35428*n**2 - 7*n - 2 wrt w.\nAnswer: -986516*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (237 - 237 - 3*t**5)*(-5 + 1 + 2) + (-2*t**3 - 2*t**3 + 2*t**3)*(-8*t**2 - 3*t**2 + 3*t**2).\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 64908008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4499 and 1227.\nAnswer: 13497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 10) to base 12\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*y + 40*y + 75*y + 140*y - 40*y.\nAnswer: 312*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*((1 - 1 - o)*(o**2 + 4*o**2 - 3*o**2) - 9*o + 9*o + 16*o**3).\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 1, 20, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18339 is divided by 17928?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (3 + (sqrt(153) + 2 - sqrt(153)))) + 0.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + a + 8 = 3, 4*a + 2*a + 30 = 19*k - 22*k for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(16))\/((sqrt(245) - sqrt(245)*-2) + sqrt(5)).\nAnswer: sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 5*o + 13\/6*o**3 + 17*o**2 - 34. Let x(i) be the first derivative of c(i). Find the first derivative of x(b) wrt b.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*s + 341, -4*s = -3*w + 19 - 291. Suppose 0 = 8*f - 12*f + 132. Calculate the remainder when s is divided by f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 10*d + 13. Let q be x(-8). Let o be (-7 - q) + 55384\/51. Let a = o + -1082. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3377315551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93430079, -186860155, -280290229, -373720301?\n\"Answer: c**2 - 93430079*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - -820. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6561391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 845189916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**3 - x + 2 + x.\nAnswer: 7*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 7 (c) 133\/2 (d) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*m + 4*m + 4*m + (7 - 2 - 3)*(2 - 2 + 5*m))*(1 - 3 + 1)*(-9 + 31 + 18) to g + w*m and give w.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24920 - 24932. Calculate the common denominator of m and -44\/731.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-530))\/(314\/(-91531))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 at least 1007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24482 - -1321969\/54. What is the common denominator of v and -91\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*d**5 + 2*d**2 - 1147*d + 0*d**2 + 16*d**4 + 0*d**2 - 2*d**2 wrt d?\nAnswer: 880*d**3 + 192*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g - 4. Let s be j(0). Is ((-57)\/s)\/(12\/32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 10*j**2 - j - 3. Give k(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4*((sqrt(1377) - (-1 + 0 + sqrt(1377) + sqrt(1377))) + 3 + 1))**2*4.\nAnswer: -7200*sqrt(17) + 90628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 (base 4) in base 14?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(343) + -1*sqrt(343)*-5)*2)**2*2 + 1.\nAnswer: 98786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 10. Suppose -3*y - t*y + 10 = 0. Let j(q) = -q**2 + 6*q - 5. Let d be j(4). Solve -d*u - 1 = -y*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((4\/108)\/(4\/36))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5393534028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, 5, 1, 18, 3.\nAnswer: -18, -2, 1, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:01 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-6))\/(9\/(-486)). Let v = 37 - a. Put 5, v, -3, -5 in descending order.\nAnswer: 5, v, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r = 38*r + 224. Let t = 35 + r. Solve t*i - 3*i - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 195 = 8*v. What is the remainder when v is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 98\/913?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167*v - 650 = -3*g, 6*g = -2*g + 15*g - 4*g + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 1)*(-37)\/(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9225 and 5868.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449639 to the power of 1\/2, to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02025 - -114.0861.\nAnswer: 114.06585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 80361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 2*r - 3. Let b be x(-3). Suppose z - 3 - 4 = b. Calculate the remainder when 17 is divided by 84\/z + 1*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whuz when four letters picked without replacement from ueehwhz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 35 = 5*a + 6*z, -5*a - 3*z + 33 = 0. Suppose 18 - a = -4*d, -2*v + 4*d = -514. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10))**(1\/85)\/(a**1\/(a\/a**21)) assuming a is positive.\nAnswer: a**(-359\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 426 and 15909893.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -2*n + 4, 10*n - 5*n - 8933 + 8927 = -4*r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2471*v**3 - 2581*v**3 + 7522*v**3 - 2468*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7860?\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/72 - 118*m**3\/9 + 3950*m. Factor a(v).\nAnswer: -v*(v + 472)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -251.3 and -225003.389.\nAnswer: -225254.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + (-44 - (41 - 6)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1620) - (sqrt(1620)*-1 + sqrt(1620)))\/((sqrt(40)*2)\/sqrt(10)).\nAnswer: -45*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/5 (b) 4\/7 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 1, d: 6, b: 2, e: 3}. What is prob of picking 1 d, 1 e, and 2 k?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2.916 - 1\nAnswer: -3.916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2782 divided by -13?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:58 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = -2*x + 641. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 - 12*k + 7. Let l be v(11). Which is the third smallest value? (a) -5 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 13*n + 50, 2 = -72*j + 70*j - n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c - 30*c**4 + 24*c**4 + 8*c wrt c.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2115 divided by 423.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, x: 1, a: 3, i: 4, s: 1, b: 1}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*c + 113*c - 1084 = -235*u, 4*u + 4*c = -128 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nneeeeneenueneeeee. What is prob of picking 3 n and 1 u?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-10) - (-2)\/(-5). Let p be 36\/10 + 522\/(-45) + 12. Suppose 0 = -p*v - 8 - 12, j - 17 = 3*v. Solve -s*m = -2 - j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -231211 + 1210?\nAnswer: -230001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 1)*(4*j**2 + 0*j**2 - 5*j**2) + 27*j - 55*j - j**2 + 26*j as v + m*j + q*j**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5 + 7*m**2 - 8 + m - 23 - 15 in the form y + a*m**2 + q*m and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/((-6)\/(-24903)). Let r be 4\/(-10) - (-582201)\/(-210). Let x = k + r. What is the common denominator of -37\/18 and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -39 (c) 1\/9 (d) -95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(114)*1 - (sqrt(114) - (sqrt(114) - sqrt(114)*-1))*1)*6)\/((-2*sqrt(72))\/sqrt(12) + sqrt(54)\/sqrt(9)*-4).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 7*q**2 - 7*q + 14. Let c be j(-8). Calculate the common denominator of 33\/2 and (c\/(-45))\/(4\/(-355)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 17)*(-4)\/(-8). Suppose -z*c + 13*c + 70 = 0. Let n = -11 - c. Calculate the remainder when n is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/2 + 408*h**2 - 44217*h\/2 = 0.\nAnswer: -867, 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + z - 12 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009497256 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/929, 7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 642774, 1285546, 1928318, 2571090, 3213862?\n\"Answer: 642772*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 18*a - 76. Let p be k(-9). Suppose p*z + 2*j - 14 = 0, -j = 3*z - 12 + 4. Calculate the remainder when 31 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 5*k**4\/6 + k**3\/3 + k**2\/2 + 22*k. Let g = -4 - -3. What is p(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -80509, 21 in ascending order.\nAnswer: -80509, -3, 6, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150813*i**2 - 467402*i wrt i.\nAnswer: 301626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/4*(-6)\/9 + 211. Let o = 218 - z. Put -2\/11, o, 0.3, -0.23 in decreasing order.\nAnswer: o, 0.3, -2\/11, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 770 - 761. What is the remainder when 395 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 + 0 = 4*h, 0 = -3*h - 3. Suppose -5*l = n, 2*l = -k*n + 3*l. Which is the fourth biggest value? (a) -5 (b) n (c) -1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c + 1 = v, -5*v - 2*c - 23 = 0. Let b be 1\/(-3) - (-20)\/(-12). Sort 3, v, b in increasing order.\nAnswer: v, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 18*l**2 - 4 - 18*l**2 in the form j*l + h*l**3 + w + m*l**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586499936?\nAnswer: 2, 3, 7, 103, 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*27\/16740*-8.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-36)\/(-10))\/((-8)\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*f - 3*h + 47, -f - 2*h + 24 = 0. What is the greatest common factor of f and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2038.943ug?\nAnswer: 0.002038943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9385373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12622 - -512. Let r = -13134.051764 + n. Let m = 0.052 + r. What is m rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 191 and 1005.\nAnswer: 191955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 245*s**4\/12 + 52*s**3 - 13*s - 2. Find the second derivative of d(f) wrt f.\nAnswer: 490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/1357 - -123267\/29854. Let c = -1639 - -9793\/6. Calculate the common denominator of v and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2078905650?\nAnswer: 2, 3, 5, 103, 239, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -137.2 + 141.8. Let g = 9537.6076 - 9533. Let a = g - r. Round a to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120301122 (base 4) in base 2?\nAnswer: -100011000110001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (4 - (0 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19445, -39106, -58961, -79022, -99301?\nAnswer: -119810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 15*f**2 + 18*f + 53. Is a(16) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b = -b + 28 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24904368 divided by 48\nAnswer: 518841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(171) + sqrt(228)\/sqrt(48) + sqrt(19).\nAnswer: 2 + 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -223689, -223353, -223017, -222681, -222345, -222009?\n\"Answer: 336*w - 224025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/86 + -93\/602. Let s = -2 + 3. What is the second biggest value in y, -3, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 11 = -4*p, 2*p = -12*v + 10*v + 6. Solve 2*d = -5*a + 22, -p*a + 4 = -5*d + d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -85\/3. Let o = -4.4 + 4. Let j = 0.01 - 4.01. Put j, h, o in decreasing order.\nAnswer: h, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**3 + 9*o**3 - 26*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45227.55 grams in micrograms?\nAnswer: 45227550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5514*l**2 - 5496*l**2 + 2*l - 2*l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -37251*v + 260661. Determine n(7).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -1) + 245 + -229?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, b: 1, t: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.038082, 4, 0 in increasing order.\nAnswer: 0, 0.038082, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98880595 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 4*u - 3*u)*(3*u + 2*u + 3*u + (2*u + 1 - 1)*(3 - 5 + 4)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5537147 is divided by 956?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 3 + 3 + (0 + 0 + 2)*(0*s + 0*s - s) - s + s - 2*s + 0*s + 3*s - s + 15*s + 7*s + 12*s - s + 7*s + (2 - 7 + 1)*(2*s + s - s).\nAnswer: 31*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*f + 1 = -f, -3*f = -o - 5. Let j be (1\/o)\/((-4)\/(32\/20)). Which is the smallest value? (a) j (b) 21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*w**3 + 1556*w**2 + 76048*w + 37636 = 0. What is w?\nAnswer: -97, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**6 + 1184*q**4 + 2*q**2 + 37*q + 1?\nAnswer: -600*q**3 + 28416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4115, -8219, -12323, -16427, -20531?\nAnswer: -24635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l, -3*k - 2*l + 60 = -6*l. Suppose -k = -4*t - 0*t. Let g(v) = v + 4. What is g(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967239?\nAnswer: 3, 7, 13, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.12 + 0.12. Let f = -0.9 + 0.6. Let z = 0 - f. Which is the smallest value? (a) -1\/4 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 + 10*r - 37 + (0 - 2 - 1)*(r - r + r) - 3*r + 7*r + 9*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*(x*x\/(((x**(3\/8)*x)\/x)\/x))\/x*x))\/x**(3\/5))\/(x\/(x**(-1)*x))**(-3\/5)*(x*x**3*x**0)\/((x*x**5)\/x**(-5\/2)) assuming x is positive.\nAnswer: x**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230902.\nAnswer: 2, 7, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 3 - -9) + 1 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 0.1494520565393?\nAnswer: -0.6494520565393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:18 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11643 divided by -45\nAnswer: -3881\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*p - 833 = -5*v, 4*p - 664 = -4*v. Suppose 3 = -u, 2*t + 2*u - v = -3*t. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.075 and 10747.61.\nAnswer: 10747.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(3*c - 5*c + 4*c) + (c - 4*c + 6*c)*(0 + 2 + 0) to u*c + x and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9774, -2964, 3846, 10656?\nAnswer: 17466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93160139 or 0.1?\nAnswer: -93160139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:32 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -47*o + 9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -51*q - 1 - 21 + 47*q. What is the remainder when 148 is divided by b(-13)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddnddddddndddd. Give prob of sequence ndnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + r - 1 - 2.\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100 + 100010?\nAnswer: 102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 919610000 rounded to the nearest 1000000?\nAnswer: 920000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2 - 254?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10908)\/31815)\/(-10 - -6 - (22\/7 - 5)).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/792*9 - (-64)\/11. Calculate the greatest common factor of w and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 4*b + b + b - 5*b + 2*b + (39 - 2*b - 39)*(2 - 2 - 2)*(3 + 1 + 9) as f*b + i and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2343 - 8635*k + 4695 - 2350 as v*k + p and give v.\nAnswer: -8635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 - 5*u**2 + 6*u**2)*((4 - 4 + 3*u)*(2 - 1 + 1) - 185*u - 332*u + 109*u) to the form w*u + r*u**2 + s*u**3 + q and give s.\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2413.\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*p = 2, 2*n + 4*p - 3 + 5 = 0. Calculate the common denominator of -55\/8 and (-3)\/(-8)*(-176)\/56 + n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94286 - -221459. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 666*b**5 + 32*b**4 - 22929*b.\nAnswer: 13320*b**3 + 384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*d**2 - 3*d + 95*d**2 + 3*d.\nAnswer: 221*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/18 and -85\/421968.\nAnswer: 1265904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1 (c) 9 (d) -4 (e) 3128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2284)\/(-24) - (-1)\/(-6). Suppose 3*c + 3*t = 48, -5*c + 2*t - 3*t = -88. Suppose -c*s + 13*s = -95. What is the highest common divisor of a and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -6) + -4 + -2. Suppose 3*g = 6*g - x*g. Solve 2 = -t - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 330 = 4*q + 50, -2*o = 0. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > -764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -48738.929 - 1799\nAnswer: -50537.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.05, -3857, 1313?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 21 = 3*q, 3*x - q - 3 = 10. Suppose -48 = -x*b - 23. Suppose 5 - b = -7*r. Solve r*j - 3*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48419584?\nAnswer: 2, 189139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 5*d**2 + 13*d - 1. Let a(w) = -6*w**3 + 31*w**2 + 78*w - 6. Let x(l) = 6*a(l) - 34*i(l). Does 14 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 815971*p**3 - 92*p**2 + 3*p + 607.\nAnswer: 4895826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4980)\/9 + (-56)\/84)\/(2\/(-34))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -3. Suppose 36*f - 31*f - 200 = 0. What is the greatest common divisor of r and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 2*i + 1. Suppose 5*v + 5*j - 211 = -646, 5*v - 2*j + 414 = 0. Let w = -54 - v. Suppose 0 = 3*m - 2*y + 2, 0*m - 5*y = 5*m - w. What is b(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -14 (b) 0.3 (c) -2 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04078566 rounded to 5 dps?\nAnswer: -0.04079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -617.07 - -617. What is the third biggest value in 3\/2, q, -0.2, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 14 = -16*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laazmyl. Give prob of sequence ym.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/13 + 2*j**3\/13 - 32*j**2\/13 - 32*j\/13.\nAnswer: 2*j*(j - 4)*(j + 1)*(j + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2272*c - 5494 wrt c.\nAnswer: -2272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21738 - -21737.9236. Is n greater than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*d + 32, d - 5*x = -2 + 4. Let z = -1.3 - -1.31. Does z = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + -6 + (4 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16643, -34541, -52439?\nAnswer: -70337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/8)\/((-2)\/(-8)). Let k(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - 4*x**2 - 8*x + 30. Let o be k(b). Which is bigger: -1\/15 or o?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3921 - -3805. Which is the third biggest value? (a) -5 (b) 1 (c) s (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18113 - 36207 + 18094 - 29*k**2.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5980 + 0.1500718?\nAnswer: -5979.8499282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1934538, 1934537, 1934536, 1934535, 1934534, 1934533?\nAnswer: 1934532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -10*o - 33, 85*o - 17 = 89*o + 4*c - 9*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 11*d + 15. Let i be j(-10). Solve x = 6*x + i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 3*r + 10, 0 = -2*l - 4*r - 22. Let k be l\/3*-3 - 0. Solve -5 = k*s - 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223.5 + 224. Which is the closest to -2? (a) k (b) -0.2 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1174888 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21873030 to the nearest integer?\nAnswer: 4677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5.302914g?\nAnswer: 5302914000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -9200960?\nAnswer: 9200959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 1:52 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in 0.3, -0.1, 40, 3, -222\/13?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 192 = -209. Let g = r + 441. Calculate the highest common divisor of 16 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6119.\nAnswer: -6110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(68) + (4*sqrt(68)*-3 - sqrt(68)) - sqrt(68)*1*-2)\/(6*(sqrt(8) - sqrt(8)*-2)\/sqrt(2)*-3).\nAnswer: -5*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/32)*c*c*c\/((c*c\/c**(-1\/12)*c*c)\/c*c*c)*c*c)\/((c*c**(10\/9))\/(c*c**(-18)*c)) assuming c is positive.\nAnswer: c**(-4943\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.63*-0.3.\nAnswer: 1.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111010 (base 4) to base 7.\nAnswer: 21605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28224 divided by 8?\nAnswer: -3528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-120)\/(-100))\/((-2)\/(-55)) + -1. Let b be (a\/4)\/((-2 + 0)*1). Let u(g) = g**2 - 3*g + 4. Give u(b).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56.67 and -38.46?\nAnswer: 2179.5282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let c(u) be the first derivative of -u**2\/2 - 68. Let v be 33\/4*(-120)\/(-45). Suppose -5*i - f = 2*f + v, -i + 2 = -f. Calculate i*c(d) + 5*r(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhb. Give prob of sequence bh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 200, 1.\nAnswer: -3, 1, 2, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s + 2 = 2*a, 2*s + 2 = -a. Suppose a = 3*i - i + 222000. Round i to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -12*v**2 - 43*v - 7. Let h(j) = 36*j**2 + 118*j + 21. Let g(a) = -4*h(a) - 11*y(a). Let p(w) = 23*w**2 - 2*w + 13. Determine 11*g(q) + 6*p(q).\nAnswer: 6*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46258?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1178 and -0.016.\nAnswer: -18.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1254\/(-18) - 5\/15. What is the units digit of (k\/(-8))\/(10\/200)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/135)\/(1\/(-9))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2533\/3 - -843. What is the nearest to -2\/7 in 0.02, -2, 2\/3, b?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + n + 69. Give f(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 0, 1 = -s + 4*g + 24. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 3*c + 0*c)*(-1 + 2*c + 1) - c**2 - 7*c**2 + 2*c**2.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3407422.85000306 - -3407422.5. Let y = 1.5 - 1.15. Let l = y + a. Round l to seven dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/(((n\/n**(-4\/7))\/n*n)\/n)*n**7\/n*n**(-1\/2)*n\/n**(-6)*n assuming n is positive.\nAnswer: n**(209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -136359.666 to the nearest 10.\nAnswer: -136360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -69298 - -1\nAnswer: -69297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7248486 to the nearest integer?\nAnswer: 2692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23\/2*d - 8\/3*d**2 - 9 - 1\/6*d**3.\nAnswer: -(d + 1)*(d + 6)*(d + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = -a - 22, -2724*a + 2723*a - 4*c - 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 3683801.\nAnswer: 14735204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -2*t - 10*t. Let b(g) = 2*g + 14. Let y(a) = 5*a + 29. Let z(l) = 5*b(l) - 3*y(l). What is the remainder when z(t) is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b**3 - 42*b**3 + 33*b**3 + 8*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.03493 - 22.143. Let n = -0.885 + v. Round n to four dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**3\/3 - 9*t**2\/2 - 5*t. What are the prime factors of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(38) - sqrt(190)\/(sqrt(20) + sqrt(5)))\/(-2*sqrt(98) + sqrt(2) + sqrt(2)))**2*1.\nAnswer: 19\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of 1\/2*l**6 + 0*l**3 + 2*l**4 - 5 + 37\/2*l**2 + 0*l**5 + 0*l. Find the second derivative of a(t) wrt t.\nAnswer: 60*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3034497*h**3 + 91220917*h wrt h?\nAnswer: -18206982*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u**(-23)\/u))\/u)\/u**(-1))\/(u*u*u*u**4*u**(-1\/8)))**(-12\/5) assuming u is positive.\nAnswer: u**(-459\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 91, 93, 95?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*n**3 - 85*n**3 - 102*n**3 + (-5 - 2*n**2 + 5)*(-2*n + 0*n + 4*n) - 2 + 2 - n**3 to c*n + u*n**3 + l*n**2 + k and give u.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, s: 4, d: 2, e: 3, k: 1}. What is prob of sequence edse?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48515 and 90?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - ((3 - -7) + -12 - -4)) + 46\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 + s**2. Let b be k(-1). Let c be -21*(368\/20)\/b. Let p = c + -96. Put p, -4, -5 in increasing order.\nAnswer: -5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68 - -273\/4. Let o = -0.71 + -0.09. Let f = -0.4 - o. Sort z, -1, f.\nAnswer: -1, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4648 and 89\/922.\nAnswer: 2142728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 0.2, 1\/2, -614, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67\/(((-2)\/3)\/(-2)). Suppose -t = -9*m - 21. Suppose -3*v = -132 - 159. What is the remainder when v is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*sqrt(704)*-3)\/(-5*2*(sqrt(24)\/sqrt(6) + sqrt(4))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6120 divided by -16.\nAnswer: 765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70757540 and 980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -31.75\nAnswer: 63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(209) + 4*sqrt(209))*6)\/((sqrt(11) - -2*sqrt(22)\/sqrt(2)) + sqrt(121)\/(-2*sqrt(11))).\nAnswer: -60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.65753 nanograms in milligrams?\nAnswer: 0.00006665753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-177)\/(-7) - ((-156)\/42 - -4). Solve 0*k - s = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7482 and 474935.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -376 + 376 - t**2. Let s(h) = h**2 - 4*h**2 + 8*h**2. Calculate s(v(p)).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = -15, 0 = 4*z - 3*h - 659. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47754571, -95509144, -143263717?\n\"Answer: -47754573*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 35 = 8*a + 4*o, 4*a + 5 = -5*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u, -2*q - 22 = -4*q - 2*u. Calculate the least common multiple of q and 25\/((-75)\/(-18)) + 1 + 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 16 = 2*j. Let h(c) = -13*c**2 - 65*c + 94. Let n(d) = -7*d**2 - 33*d + 46. Let t(s) = j*n(s) - 6*h(s). What is i in t(i) = 0?\nAnswer: -29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-2 + 1 - 2)*(0*b - 6*b - 5*b).\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2297050, -2297051, -2297052?\n\"Answer: -y - 2297049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1640.52981 and 10.\nAnswer: -1630.52981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.641397ug to kilograms.\nAnswer: 0.000000009641397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 45890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -7*o - 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -179333986, -179333994, -179334004, -179334016, -179334030?\n\"Answer: -f**2 - 5*f - 179333980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 1. Let l be q(3). Let u(b) = 2*b + 0*b + 0*b - b - l. Determine u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20637690 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1.842, -2\/3, 1\/4 in decreasing order.\nAnswer: 1.842, 1\/4, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30165 divided by 78\nAnswer: -10055\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 115 - 174. Let v = z + 69. Suppose -v*c + 0*c + 1070 = 0. List the prime factors of c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -19*q + 50. Let g be u(-9). Let o = -112 + g. Which is bigger: 110 or o?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h = 21. Let p be (-2)\/h*49\/63. Let p - 4\/9*i**2 + 0*i + 2\/9*i**4 + 0*i**3 = 0. Calculate i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53950*u**5 + 3*u**2 + 85*u + 1.\nAnswer: -3237000*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*r - 33 = 353*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*w**4 - 155*w**3 + 30*w**2 + 220*w - 40 = 0. Calculate w.\nAnswer: -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10480 - 3)\/(-2 + 3 + -2). Let d be (-1132125)\/108 + (-5 + -1)\/(-24). Let q = d - a. Find the common denominator of -37\/27 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*o - 513 = 103 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 7}. What is prob of sequence zd?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.3762\nAnswer: -0.15048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*f + 2*f - 5*d, -4*d = -f - 13. Let g = 14 + f. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffifxcxcjffjcffjiccx. Give prob of picking 2 x.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(2\/(-10)*(-7840)\/(-1344)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 499477, 499441, 499379, 499297, 499201, 499097, 498991?\n\"Answer: q**3 - 19*q**2 + 14*q + 499481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4303088, 4303087, 4303084, 4303079, 4303072, 4303063?\n\"Answer: -u**2 + 2*u + 4303087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/7, 0.4, 8?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -226\/5. Let i = 3.4 + -0.4. Let k = i + 1. What is the closest to -1\/7 in -4, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2297*x - 11500. What is s(-4)?\nAnswer: -2312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 166910?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -1\/4 (b) 95 (c) -2\/151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17461729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -21681*t**4\/4 + 3*t**3 + 6*t**2 + 9. Let d be x(8). What is d rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from azaurr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/3171264 and 59\/1638752.\nAnswer: 1956669888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 35. Let o(l) = l. What is -m(u) + 3*o(u)?\nAnswer: u - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.08 + 0.08. Let n = -9 - o. What is the biggest value in n, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -940772 * 0.01.\nAnswer: -9407.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52500 by 4375.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -9 + 7 - 3*f**3 + 5*f**3 + f**2. Let c be d(-2). Let z(h) = h**3 + 13*h**2 - 18*h + 12. What is the tens digit of z(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 675, 1012, 1349?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2))**(-34)*(o**5*o)\/o*o\/(o\/o**(1\/6)))\/((o**(1\/3))**(-7)\/(o\/((o\/(o**(-2\/5)*o)*o)\/o))**(2\/115)) assuming o is positive.\nAnswer: o**(-10913\/1150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32511031 + -5?\nAnswer: 32511022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.11571 days in hours?\nAnswer: 962.77704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13712 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 2*s + 9, 3*g + 4*s - 701 + 698 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.037? (a) 0.2 (b) -5 (c) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 + -1 + -13. Suppose -56*x + 276 = -60*x. Let q = k - x. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(6\/(-3) + 1). Let l be (-3*(-99)\/138)\/42. Let s = l + 1\/28. Is f at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*v**4 + 1013 - 1013 + (3 - v - 3)*(-27*v + 27*v - 5*v**3) + (-1 - v + 1)*(-v**3 + 3 - 3) + 4*v**3 - 4*v**3 - 2*v**4.\nAnswer: -56*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*x + 1034 = -65*x. Let y(w) = 5*w - 4. Let n be y(3). Let j be n + (0 - 0)\/1. Is j at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 394*k**3 - 9457*k**2 - 21*k + 1085. Calculate n(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81774 by -1.\nAnswer: 81774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697 < 7217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-54))\/((-7)\/42)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((-33 - -19) + 47)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 65 = p, -3*m + 2*p = 4*p - 87. Let a = 45 - m. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbfb. What is prob of sequence bffb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 262165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40293211284 - 40293330318.699855. Let k = 119035 + w. Let q = -0.3 + k. Round q to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 4)*(-2)\/22. Let v = 0.01 + -1.01. Which is the nearest to -0.3? (a) -4 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o - 382200 = -61*o. What is the thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 21)*(-466)\/6. What is the common denominator of -51\/5 and n\/225 + 4\/18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/(3762\/783))\/((-222)\/407) + -9?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003027129 to seven decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 15 - -3 - (8 + 27)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*h + 5 + 27 = 0, -h = -2*w - 8 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/3 - 1150*a\/3 - 1900.\nAnswer: -2*(a + 5)*(a + 570)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = 4. Let a(u) be the second derivative of u**5\/20 + u**4\/4 + 3*u**2\/2 + 11*u. Let j be a(d). What is the smallest value in j, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -5*d**4\/4 + d**3\/3 + 11*d**2\/2 + d + 108. What are the prime factors of p(-5)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1496300 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 109 = 3*t, -2*i - i + 1 - 91 = -19 + 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 16454*c + 312635. What is v(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 - w**2 - 5*w**2)*(0*w - w + 0*w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -46801 less than -46825?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -184 + 193 - (3 + -5)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlllllllllvvlllvl. What is prob of sequence ll?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -9\/4 (b) 3 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1820*a**3*g - 2*a**3 + 25*a**2 - 4032*g + 23 with respect to a.\nAnswer: -5460*a**2*g - 6*a**2 + 50*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870103355 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 = 2*g + 11, 7 = c - g. Suppose 4*m + 4*i = 110148, -c*m = -5*m - 5*i + 55068. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2))**(-7\/5)\/(t\/t**(-1\/2)*t*t)**1)\/((t\/(t\/(t*t**(-5\/3))))\/t*t**0*t**0\/t**(-1)) assuming t is positive.\nAnswer: t**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 430806642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79831 is divided by 19899.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*o - 17. Suppose m - 58 = -3*m + 3*u, -2*u + o = 0. Let d(n) = -n**3 - 5*n**2 - 7*n - 4. What is the remainder when d(-5) is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 4*t - 22, -t + 64 - 76 = 2*m. Which is the closest to -1\/4? (a) m (b) -3 (c) 47 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20425966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 76*k**3 + 2*k**2 - 5 + 0*k**2.\nAnswer: -76*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, k: 6, z: 6}. What is prob of picking 1 y and 2 z?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 104*n + 5. Let o(d) = 12375*d + 594. Let x(g) = 594*l(g) - 5*o(g). Let m(t) = 49*t. Let v(f) = -11*m(f) - 6*x(f). Let c(a) = 2*a. What is c(v(u))?\nAnswer: 110*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -6.57 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 327705347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1963 = 3*o + f, -5*o + 3*f - 2*f + 3261 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 0 + 3 + 3*i - 2 - 2*i + 0*i. Let g(j) = -8*j + 6. What is -g(l) + 3*h(l)?\nAnswer: 11*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Let q(m) = -3*m**3 + 6*m**2 + 2*m + 5. Let f(t) = 7*t**3 - 11*t**2 - 4*t - 9. Let u(i) = -6*f(i) - 11*q(i). Give u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 4 - 7701453*w**2 + 7*w - 3738547*w**2 + 0*w. Let t be n(-1). What is t rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89.64*-0.13.\nAnswer: 11.6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s + 3. Let k(h) = -15*h + 6. Let u(g) = -4*k(g) + 7*z(g). Calculate the remainder when 37 is divided by u(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.29 + -21.71. Put -5, 0, b, 5 in descending order.\nAnswer: 5, 0, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 35. Suppose 3*m - o = 36. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 0 (c) 1 (d) -0.72 (e) 3\/82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -6. Let p be (1 + m)*-1 - -3. Suppose -4*t - 2*y + 85 = -73, -3*y + 159 = p*t. Calculate the highest common divisor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a4b (base 13) in base 9?\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7313 = 327*g - 2081 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036118495 rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 77*p - 323. Let r be h(4). Suppose -20 = 3*d + 2*d. Sort 2, r, 5, d in descending order.\nAnswer: 5, 2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25577\/3195 + -510\/71. Find the common denominator of (-238)\/180 - (76\/(-24))\/19 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-1\/2)))**(2\/27)*(m\/m**(-1))**(2\/65))\/((m*m**(-1\/3))**(2\/9)*m*m*m**(-7)\/m*m*m**(-1)\/m) assuming m is positive.\nAnswer: m**(4066\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five halves of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 15*w - 155003, -5*c - 17*w + 18*w + 193813 = 0. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 16*f - 13. Let g(q) = 4*q - 3. Let h(s) = 9*g(s) - 2*r(s). Let m be h(1). Is 4 a factor of -9*(-1 - m)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + -2*sqrt(152))*-4)\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71051 is divided by 7104?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 428691 to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1599\/5?\nAnswer: -1599\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgsfqssfnssqnsqqnq. Give prob of sequence gn.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56815 is divided by 28322?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = w + 6, 2*a + 6*w + 10 = 2*w. Let t = 7 - a. Suppose 28 = j + 2*y, 5*j + 5*y = -0*j + 120. Calculate the greatest common factor of t and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186432978 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 64*z**2 + 291*z + 3751. Let g be j(-13). What is the highest common divisor of g and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -2.5, 1\/2, 2\/13, -4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {c: 1, t: 2, r: 1, a: 1, g: 2, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 - 45*m**2 - 14*m - 64*m**2 + 111*m**2.\nAnswer: 2*(m - 6)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*t*v**3 + 4*t*v**2 - 2*t*v + 2*t - 2*v**3 + v wrt v?\nAnswer: 102*t*v + 8*t - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600981870, -600981869, -600981868, -600981867?\nAnswer: -600981866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4792 = -r, 4*r + 305 = n + 1276. Let y = -9899\/30 - -154271\/120. Let z = n + y. Calculate the common denominator of z and 43\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02063 to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*x = -2597, 0 = -4*f + 3*x + 5254 - 1763. Suppose -n + 331 + f = 2*h, h + 5*n = 618. What are the prime factors of h?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from klklplpkl?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 82*h**2 + 18 - 160*h**2 + 79*h**2 + (2*h + 1 - 1)*(-5*h - 3 + 3).\nAnswer: -9*h**2 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 1386 = -2184. Suppose g*n = 167*n + 9237. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.78855?\nAnswer: 4.78855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 106 - -46?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5\/5 + 456*i**4 + 565544*i**3\/5 + 47201628*i**2\/5 + 1017145814*i\/5 + 970507452\/5 = 0.\nAnswer: -834, -137, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*a**3 + 6*a + 180*a**3 - 7*a)*(2 - 3 - 1).\nAnswer: -418*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3375 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.222 + -0.548. Let c = -2.7 - l. Let a = 11.73 + c. Round a to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 51607 (base 8) to base 5\nAnswer: 1141013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -2332?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q*q**3*q)\/q))\/(q*q*q*q*q\/(q\/q**1*q)*q)*((q\/q**(-1))\/q)**2 assuming q is positive.\nAnswer: q**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**2 + 10*r - 10. What is the hundreds digit of q(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31557224 is divided by 1699?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -115873, -231732, -347573, -463396, -579201, -694988, -810757?\n\"Answer: 9*i**2 - 115886*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 193384*r + 193384*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99\/(-2178) + (-4216)\/176?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.733 - 6.753. Let c = 1.98 - f. What is the second biggest value in 0.3, -3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1526.7 - 1468. Let d = w + -58.6999442. What is d rounded to six decimal places?\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (-47784)\/(-84) + 24\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d**2 - 38*d - 52. Let p be v(6). Solve 0 = p*m + 120 - 88 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/((-143913)\/178)*(-3)\/219*11.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2637 divide 1422338927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 + -18 + (19 - (-4)\/6*-6). Solve -o = -12*l + 22 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-3\/14)*(u**(2\/5))**(-19\/3))\/((u**1)**25*u**(1\/6)\/(u**(4\/3)*u)) assuming u is positive.\nAnswer: u**(-761\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/10)\/(1\/(-10)). Suppose 4*c + m = -16. Let y(s) = -22*s + 10*s - 11 + 10 + 6*s - s**2 - 4. What is y(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 - 5 = 85*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100110010010 + 10011?\nAnswer: -100100101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5800 + -5769. What is the remainder when 569 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*h**2 + 776*h**2 - 42*h**2 - 2*h.\nAnswer: 322*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8739 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - (4 - -1 - 2). Let q = -9 + r. Solve q*l = 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 70428.999918817 - 70429. What is l rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63 + -3 - 2) + (-15 - 10) + -32 + 72?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/91*7 + (2 - (-5 - -13)). Let x(a) = -a**3 - 7*a**2 - 6*a - 93. Calculate x(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-6)\/8). Let y be 10\/2*((-14)\/(-10) - -1). Suppose -4*c - y = 0, v*c - 1 = -x + 27. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 5589526395.\nAnswer: 5589526394.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1356 divide 176398551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 30*y + 2 - 2*y**2 - 19*y + y**2 - 7*y. Let i be h(0). Factor 1\/6*k**i + 0 + 2\/3*k.\nAnswer: k*(k + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + s = -0*s + 64, -5*z = 4*s - 154. Solve 0 = 3*r - 5*k - z, 0*k + 4 = 3*r + k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 54?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -142. What is the highest common divisor of 12 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/(-49)*133\/855)\/((-2)\/((-2)\/(-1))).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918686 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 20\/8)*-4. Suppose 7*i - o = 5*i. Suppose 3*d + u - 6*u = 259, -435 = -5*d + i*u. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 7*s + 63. What are the prime factors of g(14)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -10043?\nAnswer: -30129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10854316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12*-784063\nAnswer: -9408756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 3*l - 5. Suppose 0 = 3*z + k + 5 - 12, z - 9 = 3*k. Let u(p) = p**2 - 2*p - 3. Determine z*d(r) - 5*u(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 9*h**2 - h - 7. Let a be n(-9). Suppose 2*i + 3*z = 65 + 37, 0 = -a*i + 2*z + 82. Suppose -f = 2*f - i. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3716 = -2*m + 3652, 0 = 6*m + 4*h + 93 + 47 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 8*v**2 + 92*v + 137. Let w be g(-5). Let -5\/2*r**3 - 65\/2*r**w + 0 - 55*r = 0. Calculate r.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 23. Let s be j(-7). Let l = 128 - 96. What is the tens digit of 334\/4 + s\/l - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 423 + -428. Sort -2\/3, j, -1, 0.5 in descending order.\nAnswer: 0.5, -2\/3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3986697*c - 1328897*c - 1328921*c - 1328920*c.\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**3 + 4*k**2 - 3*k + 3. Let s(f) = 7*f**3 - 3*f**2 + 4*f - 4. Let o(l) = 4*i(l) + 3*s(l). Find the third derivative of o(q) wrt q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 23*z**2 + 275*z - 3662. Give y(13).\nAnswer: 1603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1\/3)*u))\/u**(-2\/13))**19*u**(-1\/11)\/((u**(-1\/4)*u)\/u)*(u**(-1)*u)**(-3) assuming u is positive.\nAnswer: u**(16157\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0 = 8. Suppose -64 = -s*o - 3*k, o - 9 = k - 0*k. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*(sqrt(192) - (sqrt(192) + -1)))**2 - (sqrt(192)*1)**2*-2)*-2*2.\nAnswer: -3144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 23*m**3 - 46*m**2 - 2. Let z(w) = 58*w**3 - 120*w**2 - 5. Let r(c) = -13*b(c) + 5*z(c). Suppose d = -3*d. Let t = d - -1. What is r(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) -4 (b) -20333 (c) 3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/(-280) + (-96)\/(-21). Solve -5*u - 15 = -7*h + 8*h, -5*h + 15 = -b*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a millennium in years?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 4*i**2 - i + 1. Let z(k) = -4*k**2 + 2*k - 1. Let c(n) = -5*n**2 + 2*n - 1. Let q(p) = -5*c(p) + 6*z(p). Let r be q(-3). What is s(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - 12\/(-4) - -1*16?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*v, 2*v = -3*v + 2*t. Suppose 0 = -2*j + 2*s + 8, 2*j + 2*s - 3*s - 10 = 0. Solve v*a + j = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*n - 2*t, -7 + 4 = 13*n + 2*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1.2. Let x(m) = -2*m - 44. Let w be x(-21). Let l be ((-8)\/(-11))\/((0 - -1)*-2). What is the biggest value in l, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 76232060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 13. Let o be l(8). Suppose -o*p = -4*p. Suppose p*c - d = -2*c + 42, -3*d = -c + 31. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*2*sqrt(192))**2.\nAnswer: 128*sqrt(3) + 12289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from wmjdwdwwwwdsdwdjwjs.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859743529.\nAnswer: 283, 3037963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1029511.205 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275222 is divided by 990.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 212. Let u be 2*(-4)\/60 - c\/90. Solve 0*t + t + u = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1068 and 21468?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*j - 20*j**3 + 42*j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 + 0*s - 1\/30*s**6 + 0*s**3 - 1\/10*s**5 + 1\/6*s**4 - 6*s**2. Solve h(n) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.0037 + -0.0037. Which is the closest to 0? (a) n (b) 4 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000481268 to 6 dps.\nAnswer: 0.000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*-2*6\/(-16). Let s(g) = g**2 - 7*g - 11. Let l be s(8). What is the units digit of d\/(18\/(-4))*l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 351991, 703917, 1055843, 1407769, 1759695, 2111621?\n\"Answer: 351926*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -6, 2\/7, 51?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**4*r + 2388570*o**2*r**2 + 2*o*r + 146*r**2 + 37 wrt o.\nAnswer: 24*o**2*r + 4777140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(475)*-2)**2 - (sqrt(76)*-2)**2*-1.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 + 1256*l + 88028 = 0. Calculate l.\nAnswer: -59, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 + 2.2. Let z = o + -1. What is the third smallest value in z, -0.4, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(33\/(44880\/32))\/((-1)\/5).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffqqddfdddddfqqd. Give prob of picking 1 q, 2 f, and 1 d.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(240)\/sqrt(4) + sqrt(60))\/sqrt(12))**2 - (2 + sqrt(80))).\nAnswer: -90 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**5 + m**4 - m**3 - m**2 - m - 1. Let g(c) = -3*c**5 - 3*c**4 + 3*c**3 + 3*c**2 + 6*c + 6. Let k(b) = -6*d(b) - g(b). Let k(w) = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3004244 (base 5) to base 12.\nAnswer: -23561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*s - 24781 + 127400 = -2366*s - 342803 for s.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 389541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 7) to base 10\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from xfxxffxfxfffff?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 316*s**2 + 8*s + 11. Is a(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0, -5 in increasing order.\nAnswer: -5, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -6, -0.061, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 267038, 534083, 801128, 1068173?\n\"Answer: 267045*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epeeepp. What is prob of picking 2 p and 1 e?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 38723*u + 2 - 19361*u + 89*u**2 - 19353*u to the form j*u**2 + b + x*u**3 + z*u and give j.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(28).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 26*h - 160. Let j(y) = y**2 - 12*y + 59. Let t be j(5). Calculate the greatest common divisor of t and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/11 - 32*a**4\/11 + 48*a**3\/11 + 640*a**2\/11 + 800*a\/11 = 0. Calculate a.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from llvvvvyllhv.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -49589\nAnswer: 743835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/4241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 163716*s + 7 - 279086*s - 11.\nAnswer: -442802*s - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5. Let v be (17 - 18)*-107*c. Let w = 160 - v. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2. Let v(l) = 1465*l**2 + 34*l + 5. Let x(z) = 3662*z**2 + 82*z + 12. Let k(s) = -12*v(s) + 5*x(s). Determine k(c(m)).\nAnswer: 26280*m**4 + 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143899 + 180148 + 79276 = 2358*i + 61413 for i.\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 11. Let t = -14 + 19. Give s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -7*b**3 + 7*b**2 - 2*b - 11. Suppose -5*y - 39 = v, 3*y + 3*v = 7*y + 16. Is x(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 11*q**2. Let j(a) = -51956*a**2 - 3*a. Calculate j(p(t)).\nAnswer: -6286676*t**4 - 33*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -177, -423, -769, -1215?\n\"Answer: -50*w**2 + 4*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-20)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 15*z**2 - 8*z - 16. Let y = 38 - 24. What is the units digit of s(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 3*g + (0 - 4 + 0)*(5 - 5 - 5*g) - 3 + 2*g + 3 + (-g + 0*g + 3*g)*(4 - 2 - 1) + 3*g - 6*g + 4*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p. Let x(y) be the third derivative of y**4\/12 - 3*y**2 + 3. Let q(l) = -11*a(l) - 6*x(l). Suppose -12 = -4*s + 4. What is q(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(272) - -4*(sqrt(34)\/sqrt(2))**2.\nAnswer: 4*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-22 + 10 - -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a - a + 1 - a**2. Let w(t) = 9*t - 5. Let f(s) = -33*s + 18. Let r(v) = 5*f(v) + 18*w(v). What is q(r(g))?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 7:42 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174 and -3.81?\nAnswer: 662.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/5 + 1818\/(-3465) - 158\/2765\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4574*b = -4789*b + 2580 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353311053 to the power of 1\/3, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1939)\/175 + 9 + 2\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2698 + -18885\/7. Which is the second biggest value? (a) -0.03 (b) -31 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.4 (b) 12 (c) -3 (d) 1\/26 (e) 6 (f) -1\/81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 2:17 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.77 + -31. Let n = s + 0.03. Let z = -86 - -91. Which is the biggest value? (a) z (b) 2\/21 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -363*y**3 - 2*y**2 + 3. Let w(n) = -726*n**3 - 3*n**2 + 5. Determine -5*v(o) + 3*w(o).\nAnswer: -363*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2292 = -5*z, 3*p - z = -0*p + 1700. Suppose p*i = 576*i - 35528. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 11\/7 - 5\/(-35)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3258 and -1\/3620.\nAnswer: 32580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39805 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Suppose 5*p + 2*x - 171 = 0, 0 = 5*p + w*x - x - 173. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691134 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**3*k + 24*a**3 - a**2*k + a*k + a - 3*k wrt a?\nAnswer: -12*a*k + 144*a - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201664228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:29 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 58, -300, 2 in decreasing order.\nAnswer: 58, 2, -2, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047864 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/4 + 2\/(-4). Suppose -25*q = -31*q + 30. Sort q, 6, z.\nAnswer: z, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115656 (base 7) to base 4\nAnswer: -11030022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2 + 1017*v**2 - 1016*v**2 - 4 - 4 - 313*v.\nAnswer: v**2 - 313*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8916.3 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*a - 16*a = 2*h + 28, -5*h - 7 = 3*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-28))**(1\/35)*(((q**(3\/2)\/q)\/q)\/q**(2\/11))**2 assuming q is positive.\nAnswer: q**(-119\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.1. Let h = p - 0. Let r = h + 5.1. What is the nearest to 1 in 2, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 - 2*p**2 + 4*p**2)*(-4 - 1 + 3)*(-3 + 5 - 5).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74401610 divided by 1730270?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11007 is divided by 851.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5 + 10. Suppose 126 = h*j - 0*j. Let b = -23 + j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4 - 91*l**3 + 8379*l**2 - 194481*l + 1426194 = 0. What is l?\nAnswer: -154, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 492 and 333248?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1804, 1374, 4 in decreasing order.\nAnswer: 1804, 1374, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + (-1 + sqrt(1700))*-6)**2*-4 - ((3 + sqrt(17) + -1)**2 + (sqrt(17) - (sqrt(17) + -2*sqrt(833) + sqrt(17)))**2).\nAnswer: -173038 + 2396*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.37 (b) 3 (c) -213\/2 (d) 1\/4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001100587 rounded to seven decimal places?\nAnswer: 0.0001101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkff when four letters picked without replacement from {f: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227934*f*l**4 + f*l - 2*f - l**4 + 451*l - 17 wrt l.\nAnswer: 2735208*f*l**2 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 times 37.5?\nAnswer: 63.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -6*k - 115 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34 and -1245.01.\nAnswer: 42330.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.62 - 1.55. Which is the closest to 1\/3? (a) p (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 40*j - 148. What are the prime factors of q(30)?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 = 18. Suppose -4*d - 7 = 5*c - 41, -5*d = -b*c + 70. Solve 6*f - f + 16 = -2*m, 3*f + m + c = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3849*x + 304090. Calculate m(79).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 4*h**2 - 15*h - 43. Calculate g(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -19. Let l(m) = 4*m**2 - 125*m + 58. Let v be l(32). Let y be v\/c - (-33)\/55. What is the highest common divisor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53169.5 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6464 and 341582.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:15 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 279 + -252. Which is smaller: p or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -3*z, -c = z + 4*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-18))\/((-4)\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14694, -14328, -13718, -12864, -11766, -10424?\nAnswer: -8838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f + 2*f)*(4 - 1 + 0) - 8*f - 8*f + 5*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llfflflllllllf. What is prob of sequence ffll?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-18) + (78\/(-270) - -1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10997.\nAnswer: 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from {o: 4, y: 2, r: 2, l: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.021 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -3*q**5\/5 - q**3 - 315*q**2\/2 + 293. What is the second derivative of i(o) wrt o?\nAnswer: -36*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.057567ug in kilograms?\nAnswer: 0.000000008057567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 176329*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 146*n**2 + 6*n - 20216. What is o(-145)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8376 + -3209. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 44. Let h = -22.8 - l. Which is the closest to h? (a) -1\/5 (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - -2 - (10 - (6 + 8)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*l = -221*l - 801. Is -5 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 10. Suppose -i*s + 87 = -s. What is the highest common factor of 203 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.2 - 9. Let l = -2.8 - k. Which is the smallest value? (a) -1\/4 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - 3 - ((-30 - -49) + -10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 0*y**2 - y**2 + 2)*(6 - 4 - 2*y - 1).\nAnswer: 4*y**3 - 2*y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9670, 9662, 9644, 9610, 9554, 9470?\nAnswer: 9352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 1 + -3 + 1. Let g(v) = 3*v - 52. Let h(d) = d - 18. Let z(x) = -6*g(x) + 17*h(x). Determine z(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 11 = 7. Suppose t*g - g = -g. Suppose 3*b + 4*f - 48 - 98 = g, -5*b = 4*f - 230. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1252 divided by 3.\nAnswer: 1252\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37269 + -26524. Let c = -133 + 136. Suppose c*a + 2*a - k = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 35 = l - 242, -l + 3 = 0. Solve -4*s + 114 - d = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0447774 - -0.050438. What is i rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 - 974*n**2 + 7920*n - 21. Calculate s(-495).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19703.\nAnswer: 17, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(396) + 2 - (sqrt(396) + (sqrt(396)*-1*-5)**2)).\nAnswer: -9891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*l**3*q**3 - 2*l**3*q - 10*q**3 - 40*q wrt q.\nAnswer: -72*l**3*q - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 130\/9*f**3 - 22\/3*f**2 - 62\/9*f**4 + 0*f - 2\/9*f**5.\nAnswer: -2*f**2*(f - 1)**2*(f + 33)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 99*f**2 + 122*f + 11. Let t(i) = i**3 - 34*i**2 - 40*i - 4. Let h(n) = 11*t(n) + 4*z(n). Factor h(x).\nAnswer: -x*(x - 24)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 28*w. Let t(a) be the first derivative of a**2 + 16. What is p(t(d))?\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*i**2\/15 + 23322164*i\/5 + 9995214\/5.\nAnswer: -2*(i - 4997607)*(7*i + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*o = 62, 0 = -2*f - 2*o + 4*o + 20. Let c = 1 - 1. Let n be c + (2 - -112) + -2. What is the highest common divisor of n and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 257990\/(-8) + 6\/(-24). Let t be 3\/14*q\/(-168). Let d = t - 305\/7. Find the common denominator of 5\/2 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 175. What is b rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -38*r**3 + r**2 + r - 2. Is 19 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 64. Let f be h(8). Let p(w) = -89 + w + f + 41. Determine p(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 11. Suppose 0 = q - 2*c - 113, 2*q + 0*c - 226 = 3*c. Suppose 5*h = 3*h + j + q, 57 = h - j. What is the greatest common factor of h and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, -13, 5, -1.07, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*i + 3. Let b(v) = 3*v + 6. Let f(m) = -m - 2. Determine i*b(c) - 7*f(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k**3 + 146*k**3 + 63*k**3 + 72*k**3 - 361*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 7. Let u(w) = -3*w - 13. Let g(o) = -6*o - 26. Let y(z) = -2*g(z) + 5*u(z). Let i(p) = 11*j(p) - 6*y(p). What is the derivative of i(m) wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(-372)*392 + -32?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*g - 128, 5*g - 10*g - 665 = -5*d. Let v = d - 78. What is the highest common divisor of v and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-14)\/(-4)) + -11. Let z(p) = -101184*p**2 - 6*p + 18. Let k be z(g). Round k to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/294 - (-93)\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 10 in descending order.\nAnswer: 17, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q + 180 = 0. Let y be ((-5)\/(-30))\/(1\/218). Let c = q + y. Does c = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 9:53 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 3*h - 2*g + 6 = 0, 0 = -3*h + 3*g - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5 * 0.5.\nAnswer: -2.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 9*s = 4*s - 20, -2*k = 5*s + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(6*o**3 + 8 - 8) - 223*o**3 - 108 + 55 + 54.\nAnswer: -217*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 0.2, 6, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 133121741 and 5.\nAnswer: 665608705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-23)\/(690\/(-48)))\/((-2)\/(-35)). Suppose 8*n - 10*n = -v. Is 13 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10644\/7*i - 14161842\/7 - 2\/7*i**2 = 0. What is i?\nAnswer: -2661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2102302300 (base 4) to base 9.\nAnswer: -1115701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(5) - (sqrt(20) + -3)) + 2)**2 - ((sqrt(5445)*2)\/(sqrt(108)\/sqrt(3)))**2.\nAnswer: -576 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*f + 532*f = 59926. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8050 or 2689071\/334?\nAnswer: 8050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -28*((-109)\/436)\/((-2)\/4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*i**3*t*w - 7*i**3 - 168*i**2*w - 3*i**2 - 290056*i*t*w + 10*i*w + 3*w with respect to t.\nAnswer: -7*i**3*w - 290056*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z + 87. What is the smallest common multiple of c(-4) and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 597600 and 576.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83 - 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 - 9*u**4 + u**4)*(0 - 5 + 3 + (-3 + 5 - 1)*(-1 + 6 - 2) + 4 + 0 - 2 + (3 + 0 - 2)*(2 - 3 + 0))*(-3 - 3 + 4).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1036 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*f + 5*f + 5*u - 35, 0 = -5*f - 3*u - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6) - (4 - 5). Let o = -21249 + 531224\/25. What is the fourth biggest value in -3, o, -1\/7, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35.132018677 + 35.132. What is h rounded to 7 dps?\nAnswer: -0.0000187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 2:44 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 12:39 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 11. Let p be q(1). Suppose 86 = 2*g + p*s, 3*s + 0*s = -3*g + 114. Suppose -9 = -9*u + 6*u. What is the highest common factor of g and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 1\/(8\/144*9). Let t(q) be the first derivative of 0*q**4 - 7 + 3\/2*q**6 + 0*q**5 + i*q + 8\/3*q**3 + 0*q**2. Find the third derivative of t(u) wrt u.\nAnswer: 540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, u: 7, t: 5, r: 4}. Give prob of sequence tr.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6690\/7 (b) 1\/6 (c) -7142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 3*n - 3*n)*(2*n**3 - 4 + 4) as x*n**3 + o + b*n**4 + w*n + c*n**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p + 127 = 61*p. Suppose 4*l - 4*v = 348, 3*l + 2*v - 236 - 15 = 0. Let a = p - l. What is the remainder when 79 is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 38*s**2 - 21*s**2 - 21*s**2 + 5*s**3 - 12 + 4*s**3 to the form l*s**2 + i*s**3 + p*s + v and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2145 + 844. Let x = -734 - u. Calculate the highest common divisor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 3*k + 4*k + k)*((-2 - 67 - 8)*(2*k - 2 + 2) + 112 - 112 + 5*k) in the form m*k + g*k**2 + f and give g.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**4\/24 - y**3\/2 + y**2. Let d be s(3). Suppose 0 = 3*u + 3*a - 33, -a - 17 = -d*u - 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1797 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 5*i + 5. Let l(k) = k**2 + 6*k + 2. Let d be l(-6). Let t = 7 - d. Let s(v) = -4*v**2 - 7*v - 7. What is t*s(n) + 7*x(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -16*q**5 - 2488*q**4 - 13297*q**3 - 14484*q**2 + 9891*q - 1350 = 0.\nAnswer: -150, -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 31970688.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, -176 in decreasing order.\nAnswer: 3, -3, -5, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 610436 or 610456?\nAnswer: 610436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, -2\/3, 0.5, 17, -1 in increasing order.\nAnswer: -1, -2\/3, 2\/7, 0.5, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1198, -1349, -1500, -1651?\nAnswer: -1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26247\/10 + -2633. Let l be (-2 + 9\/6)*14. What is the common denominator of u and 8\/(-4) - 60\/l?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1329*o**2 - o + 2. Let w(v) = -v**2 + v - 2. What is -f(m) - w(m)?\nAnswer: 1330*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-684) + (-2576)\/(-1311))*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*k - 16 - 12, -5*k - l + 82 = 0. Let t(n) = -n**2 - 63*n + 877. Let r be t(12). Let i = k - r. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = 2. Let p(r) = 3*r**2 + 0*r**m - 2*r**2. Let o(s) = s**2. Calculate o(p(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -791 <= 0.0537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(18\/(-27))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7*a - 210 = 0. Let y = -33 - a. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 0*w**2 + 0 - 1\/5*w**3 + 1\/5*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + -40)*15\/35. Are -12 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 13*x**2 + 13*x - 14. Let q be p(-14). Suppose -79*u + 81*u - 6 = q. Solve b - 4*b + 11 = -5*g, -u*g + 4*b = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - -6e8?\nAnswer: 6cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 3*k - 2. Let i(r) = r**2 - r + 1. Let h(w) = i(w) - u(w). What is the remainder when h(-4) is divided by (-100)\/15*6\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149175*j*r**4 - 48*j*r + r**4 - 900 wrt r.\nAnswer: 1790100*j*r**2 + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1969107 divided by 656369?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -5. What is the units digit of (-1)\/2 + 204\/a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, 1 in ascending order.\nAnswer: 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**5\/20 + 31*x**4\/8 - 475*x**3 + 2176*x**2. Factor c(g).\nAnswer: 3*(g - 19)*(g + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -74 - (-601 + 585).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10842900, -10842898, -10842896, -10842894, -10842892, -10842890?\n\"Answer: 2*y - 10842902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*g = 5*n + 42, 2*n = -5*g - 9. Calculate the common denominator of 8\/n - (-574)\/132 and -81\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/(3\/27). Suppose 0 = -y - y - f. Let l(u) = -u**2 - 3*u - 1. Give l(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m*m**11)\/m)*m*m)\/((m**(-1\/5)\/m)\/m)*((m\/(((m**3*m)\/m*m*m)\/m*m))\/m)**(2\/91))**(-1\/69) assuming m is positive.\nAnswer: m**(2234\/31395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 5, d: 13}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {u: 7, z: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1786791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 97888?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let s(u) = -5*u**2 + 3*u. Let t = 22 + -25. Let j(p) = 11*p**2 - 5*p. Let r(w) = t*j(w) - 5*s(w). Calculate r(k(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -15*t + 22*t. What is the least common multiple of 2 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*l - 113, 3*u + l - 71 = -4. Let k = u + -17. Suppose 2*f = -0*g - 4*g + 60, 0 = -k*f + 2*g + 120. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2367 - 0.1033. What is the closest to -3\/5 in z, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638755, 1277556, 1916487, 2555614, 3195003?\nAnswer: 3834720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + 3*m**2 - 3*m**2)*(4*m + 0*m - 3*m) + 13*m**5 - 8*m**3 + 8*m**3 - 29*m**2 + 29*m**2 + 3*m**5 - 6*m**5 + 0*m**5 - 7*m**5.\nAnswer: m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58568 divided by -1.\nAnswer: 58568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3273 minus -1.1?\nAnswer: -3271.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 24 - ((-15 - -8) + 40)) + -105?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557394 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 223.4 - 213.19. Let t = -5.67 + b. Let z = -3.7 + t. Round z to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69383 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.46 minus 0.4?\nAnswer: 25.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -92 + 222. Calculate the highest common factor of j and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 11:09 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4001, 4109, 4217?\nAnswer: 4325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 339226, 4\/5, -4\/5?\nAnswer: 339226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/36 and -107\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 25*h**2 - 231*h + 4770. Give b(27).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -2)*(-2)\/(-4). Suppose c = -2*n - 5*w - 19, 5*n + 13 = -0*n - w. Is 1\/(6\/n)*-231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2995778 or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1047 and 8027?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7859 - -19013. List the prime factors of c.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3348c8 (base 16) to base 2\nAnswer: -1100110100100011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 378, 438, 13 in descending order.\nAnswer: 438, 378, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 4 - h - 8\/3*h**3 + 5\/2*h**2. Let u(y) = -25*y**2 + 14*y - 3. Let f(l) = -8*p(l) + 3*u(l). What is f(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000172461895 rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 13. Is 11 a factor of (-10)\/6*i + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in hours?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 126677507 and 1.67.\nAnswer: 126677508.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 14 = 94. Let a = n - 9. Let z = -25773 + 25794. What is the remainder when z is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 9, r: 11}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 63*m - 1023. What is b(-41)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0559*-0.038697\nAnswer: 0.0021631623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 46 - 95 + 43*j**3.\nAnswer: 43*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 4. Let n(v) = -2*v - 2. Let f(r) = r + 9. Let b be f(-6). Suppose -4*z - 3*o - 2*o - 8 = 0, -b*z + 21 = -3*o. What is z*m(l) - 5*n(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12 + 5*p + 2 - 6*p**2 - 25*p**2 + 4*p. Let a(r) = 11*r**2 - 3*r - 5. Let n(w) = -17*a(w) - 6*m(w). Let i(k) = -k**2 - k. Give -4*i(q) + n(q).\nAnswer: 3*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 4*j**2 - j - 4. Let i be a(-4). Suppose 2*s + 13 = 6*s + 5*h, -5*s - 5*h + 10 = i. Put 0, s, 3 in ascending order.\nAnswer: s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37342, -37340, -37338, -37336, -37334?\nAnswer: -37332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/4 - 10*c**3 - 53*c + 1. Suppose w(r) = 0. Calculate r.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61706357 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 5*w - 4. Let z(t) = -5*t**2 + 25*t + 20. Let r(x) = 11*q(x) + 2*z(x). Let m be r(6). Solve -m*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2, 3*h - 14 = -0*h - 2*f. Suppose 2*r + 10 = 0, -4 = -h*u - r - 1. Which is the second biggest value? (a) u (b) -2\/9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99545, -103941, -108347, -112769, -117213, -121685?\nAnswer: -126191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = -5*g, -3*g = 4*i + 25 - 2. Let f(o) = -o + 1. Let t be f(i). Find w such that -6 + 0*w + t*w**3 + 5*w**2 + w**2 + 3*w**3 - 9*w = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -41. Let o be ((-18)\/(-27))\/(2\/(-12)). What is the closest to 3\/5 in u, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -0.5 (b) 0.04 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124172\/35 - 3548. What is the common denominator of n and (-2)\/6 + 2074\/(-420) + 6?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 9, 4*a - 48 = a + 4*o. Let h be (-74)\/(-14) + (-2)\/7. Calculate the greatest common divisor of h and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15))\/((-14)\/(-70))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Suppose -v*t + 7*t - 3*x - 163 = 0, 4*t = -2*x + 126. Let y = -11 + t. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 15) to base 2\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 12*b**2 - 36*b + 36. Calculate v(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 19461928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 7. Suppose 31 = 5*i - 19. Calculate the lowest common multiple of n and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*r**2 + 24*r**2 + 15*r**3 - 55*r**3 + 13*r**2 wrt r.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s + 266*s - 1804 = 0. Solve s*u = 13*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:49 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315601656 divided by 328900414?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) 2\/7 (c) -9 (d) -1626 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -49, -71, -91, -109, -125, -139?\n\"Answer: g**2 - 27*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5*o + 8 + 11, s - 2 = 2*o. Let l(v) be the second derivative of 1\/6*v**3 - 2*v + 0 + 0*v**2. What is l(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12892*r + 141808. Calculate b(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 + 10*k**2 + 89*k - 281. Calculate the remainder when 303 is divided by c(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.533, 1, -5, -0.1 in descending order.\nAnswer: 1, -0.1, -0.533, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4*(-4 - (-48)\/15). Let q be 6\/(-45) - 2\/(-6). Solve -u*o + 0 - q*o**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:09 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107879052 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 0*k + 7*k + 9 + 3*k - 9 + 2 - k - 2 + (1 + 0 - 3)*(3*k - 3*k - 2*k) + 0 + 0 + k + 2*k + k - 2*k + (-2 + 0 + 4)*(-7*k + 2*k + 2*k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 179, -5 in descending order.\nAnswer: 179, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 23*i**3\/6 - 14*i**2 + 2*i. What is the first derivative of a(n) wrt n?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x**8*x)\/x)*x**(-4)*x**(-2)*x\/(x\/(x*x*(x*x*x\/((x**0*x)\/x*x))\/x))*(x**1*x*x)**46\/((x\/x**(2\/7)*x)\/(x\/x**1)) assuming x is positive.\nAnswer: x**(884\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Let d be 10 + p + 15\/(-3). Solve 3*a = -d - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*9\/6. Let d(o) = -1 + 584*o**2 + g - 590*o**2 + o**3. What is d(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 138 = -450. Let n = 565 - 386. What is the remainder when n is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3090786 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 2 - (-1 + 0). Solve z - t = 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 11 = -39. Calculate the lowest common multiple of r and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.1 - -0.1. Let r = l + 6.8. Let h = 1.7 + r. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-10)\/6). Let n = 68\/5 + -14. Is z >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:30 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, e: 5}. Give prob of picking 4 e.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 10*h**2 - 10*h + 10. Let n be x(-11). Let p be -2 - -3 - (-1 + n). Suppose 8 = p*k - 7. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 86*y**3 + 6*y**2 - 2*y - 24. Let s(i) = 29*i**3 + 2*i**2 - i - 8. Let r(m) = 4*c(m) - 11*s(m). Let g be r(3). Let p = g + -111. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27114452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14974.0000014297 + 14974. Round l to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56735*v**2 + 7*v - 2984 wrt v.\nAnswer: -113470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(143)*2 + sqrt(143) + sqrt(143)) - (sqrt(143) + -2*sqrt(143)*-1))*-2)\/(-6*sqrt(275)*-1*-4).\nAnswer: -7*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2314)\/(-156))\/89*(-15 + 0 - 0)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8858541ml in litres?\nAnswer: 0.0008858541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z. Let p(y) be the third derivative of -y**6\/180 - y**3 - 4*y**2. Let v(r) be the first derivative of p(r). Determine v(n(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = -15*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/4 + 191*x\/4 - 189\/2.\nAnswer: -(x - 189)*(x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4032084926.\nAnswer: 2, 293, 6880691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 1. Let j = b - -6. Is (-185)\/10*-1*j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 78797810 to the nearest one million.\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50*60\/72*(-18)\/(-30).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -19 + 148 + -131 - -6) + 7\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -3*q**2\/2 + 23*q - 3. Let r(k) = -k**2. Give r(d(p)).\nAnswer: -9*p**2 + 138*p - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/12 and 6 + 89\/6 - 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, n: 6, l: 2, u: 1}. What is prob of picking 4 b?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 3)\/((-19)\/(-19)). Let l = 241 - 1691\/7. Which is bigger: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 98*o + 36. Let d(b) = 11*b. Calculate g(d(t)).\nAnswer: 1078*t + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6607 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-4*(-4)\/16 + -18.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 68916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -902077319\/3261503490 + 3\/2127530. Let p = j - 2\/219. Is p <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 - -2 - -1*(1 + 1) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232781.9 years in millennia?\nAnswer: 232.7819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20944\/6 + 490\/(-735)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*h + 88*h + 115*h - 478*h + 137*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 7*j - 5. Let h be s(-4). Calculate the remainder when 19 is divided by 42\/4 - h\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1397*w - 1395*w = -3*g - 36, -4*g = -4*w - 32 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 63*h**3 - 5*h. Let l(i) = 3434*i**3 - 272*i. Calculate 5*l(s) - 272*o(s).\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsds. What is prob of sequence ss?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2690\/11298)\/(3\/(-7))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrvp when four letters picked without replacement from {g: 2, p: 1, v: 1, u: 1, r: 5, b: 6}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -1\/504*l**8 - 1\/108*l**6 + 8*l**2 - 1\/135*l**7 + 0*l + 0 + 0*l**4 - 1\/270*l**5 + 0*l**3. Find q, given that s(q) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*c**3 - 19*c**4 + 30*c**3 - 2 + 71*c - 74*c to j*c**3 + g*c**2 + o + b*c + u*c**4 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 107*t**2 + 4*t - 7. Let l be i(2). Let d = 460 - l. Calculate the highest common factor of 341 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -c + 3*q, 3*c + 27*q = 26*q - 7. Let f(j) = -j**2 - 10*j - 19. What is f(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*8085.\nAnswer: 727.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -650968.1411 + 2690356810.1411. Let s = v - 2689705970.0000057. Let h = s + 128. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**24\/((f**7\/f)\/((f\/f**(2\/3))\/f*f)) assuming f is positive.\nAnswer: f**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18.11008l?\nAnswer: 18110.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 - -168. Put 1, -6, q, -4 in decreasing order.\nAnswer: 1, q, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Let k = 6 + u. What is the units digit of k\/(-4)*(4 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*z = 3*v + 8479, -v = 5*z - 4202. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppv when three letters picked without replacement from vpwpwpwpvvpw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 14. Let a be g(-8). Suppose -8 + a = -2*c. Let v(n) = -n. Let k be v(c). Let j(i) = 6*i**3 - 2*i - 1. Determine j(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, -4, -0.1169?\nAnswer: -0.1169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 9. Let o be p(-7). Let z be -1 + 2 - (-8)\/o. Suppose -z*t = -2*t - 9. Solve -1 = -c + s, 2*c + t*s = 6*s + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bcd - 5?\nAnswer: 2bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k + 0*k**2 + 20\/3*k**3 + 0*k**5 - 38\/7*k**7 + 0*k**6 + 0*k**4 - 37. What is the third derivative of j(n) wrt n?\nAnswer: -4560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2 + -10 + 20. Suppose 5*d = 2*x - c, 16 = 4*x - 6*d + d. What are the prime factors of ((-12)\/(-15))\/(x\/110)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -32, -4 in increasing order.\nAnswer: -32, -4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -213 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44857 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 10*g + 3. What is the hundreds digit of d(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/48*(-15)\/(-20)*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598454347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 4:24 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1840, 1990, 2174, 2410, 2716?\n\"Answer: 3*t**3 - t**2 + 132*t + 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 18\/5 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*x - 19 = -4*w, 2*w = 3*x - 1. Let y be (-1 - 10\/(-12)) + (-2)\/(-12). Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 - 7*o**3\/2 - 49*o**2\/2 - 10*o + 4. What is the derivative of x(r) wrt r?\nAnswer: 2*r - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144118 + 88918. Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-4 + 8 - 11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u - 7*u + 5*u. Let i(q) be the first derivative of -5*q**3 - 3. Determine h(i(r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*a + 3952 = 5*a, 3*d - 3972 = 3*a. Calculate the lowest common multiple of 18 and d.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -17*g + 14*g. Let h(l) = -1 - 1 - 2 + l + g. Determine h(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*u + 46 + 20 = 0, -w = 3*u - 30. Suppose s = -7*s + w. Suppose f - 84 + 10 = -2*o, 0 = 5*f + s*o - 342. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4625, -4511, -4205, -3611, -2633?\n\"Answer: 16*j**3 + 2*j - 4643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22053857 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, and 1 v when three letters picked without replacement from ssflffhvhsf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*u + 333 - 1653 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67912 and 13060?\nAnswer: 339560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 12:04 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11001, -10864, -10733, -10608, -10489?\n\"Answer: -3*g**2 + 146*g - 11144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180\/6 + (-6)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 12:28 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 89869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:23 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 12:06 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**4 - 3063*b**3 - 17*b**2 + 3002*b wrt b?\nAnswer: -192*b - 18378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*t + t - 2 = 0, t = 3*w - 11. Suppose 121 = 3*c - w*z, c - 13 - 26 = z. Calculate the remainder when c is divided by (-10)\/(-4)*6*1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - p + 97. Let g be d(0). Let h = 20 + g. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 234*p + 2108. Let b be x(-9). Let u(i) be the first derivative of 23*i - 1 + 25\/2*i**b. What is the derivative of u(f) wrt f?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*g - 27*g + 20 = -5*u, 3*u = -5*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -99*l - 3387. What is s(-33)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 594 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17319082 is divided by 91.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10.16403 times 523\nAnswer: 5315.78769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*d - 4*d - 3*d)*(27 - 10 - 15) + 2*d + 3*d - 3*d)*(-3 + 2 + 2 + (0 - 4 + 2)*(5 - 2 + 0) - 6 + 0 + 1 - 1 + 3 - 3) as b*d + a and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (8 - (8 + 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 2420.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -4, -2\/13, 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:35 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.74 + -1.16. Let n = -8 - o. Let h = n - -3. What is the third smallest value in -3, h, -2\/17?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 478 divided by -592\nAnswer: -239\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {v: 1, q: 6, c: 8}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3499081 rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + -33. Let i = -27 - x. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.5 + 22.499437. Round l to five dps.\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 + f + 1. Let k(b) = 6*b**2 + 7*b + 25. Let q(w) = k(w) - 2*x(w). Let s(r) = r**2 + 2*r + 11. Determine -2*q(o) + 5*s(o).\nAnswer: o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289872304.\nAnswer: 2, 17, 353, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -910 divided by 26?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/3*258\/4 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9964.191ml in litres?\nAnswer: 9.964191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/116 and -62\/31754391.\nAnswer: 127017564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21202 (base 4) in base 11?\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11 and -10446.8.\nAnswer: -10446.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 421.25 to the nearest integer.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 684 + 25*t + 0*t - 685 + 2 - 2 - 2*t + (t + 2*t - t)*(-5 + 4 + 4) + 0*t + t - 2*t as i + g*t and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55\/21 + -7\/3. Let o = -2379 - -2378.8. What is the closest to -2\/9 in h, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r*((r*r*r**2*r)\/r)\/r)\/r*r)**(-12)*r**(1\/5)*r\/r**(3\/2) assuming r is positive.\nAnswer: r**(-723\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - -9 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Suppose -g*m + 4*f = 12, 4*m = -m - 5*f - 25. Calculate the common denominator of 6\/m + 346\/36 and 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4559994 = 2*j, -3*j = 2*b - j + 2280006. What is b rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/24 + (-47)\/(-3). Suppose o = 3*o - m. Let t = o + -6. Solve -3*x + t = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 7. Let h be u(-8). Suppose 4*a - h = -1. Let x be ((-54)\/15)\/((-1)\/5). What is the greatest common factor of a and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 20 = 6*h. Suppose 14*c**3 - 2*c**2 - 5*c - 9*c**h - 2*c**4 + 5*c**4 + 0*c**2 - 4 + 3 = 0. Calculate c.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 133.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4)*2 - 56\/(-18). Let a = -3 - -14\/5. What is the nearest to a in b, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h + 3*h + 2*h)*(-140*h - 62*h + 73*h - 111*h) to o*h + n + a*h**2 and give a.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 54*a - 162. Let c be i(3). What is t in -4\/5*t**3 + c + 4\/5*t**2 + 8\/5*t = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/3 (c) -3 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2025 - 21603?\nAnswer: -17556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t + 120. Let z be v(-13). Which is the fourth biggest value? (a) z (b) 2 (c) -9 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86*-1\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 24 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 1 + sqrt(1377) + -2 - ((-2 + sqrt(1377))*4 + -2)) + -5 + 3)*-6)**2.\nAnswer: -19440*sqrt(17) + 449748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y**2 - 2108*y - 43736 = 0. What is y?\nAnswer: -77, -142\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 6*d - 14. What are the prime factors of -1 + (-2856)\/(-27) - (-4)\/d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruyz when four letters picked without replacement from {r: 4, y: 1, u: 3, z: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -1106, -2606, -4730, -7490?\nAnswer: -10898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 103, 431, 977, 1741, 2723?\n\"Answer: 109*b**2 + b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -47 - -37. Let q be (36\/b)\/(4\/(-10)). Solve 0 = 9*t - 4*t + 5*g - 25, 2*g = -t + q for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*j - 4, -26 = -0*j - 5*j + 2*u. Let f be ((-7)\/1)\/(-3 + j). Let y(w) = -w + 1. Calculate the remainder when 15 is divided by y(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 4)\/(3 + -1). Suppose y = -3*g + g. Sort -1, -5, g in increasing order.\nAnswer: -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-136)\/(-60))\/(-17))\/((-12)\/27)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - s + 5, 0 = -5*c - 4*s + 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154482 is divided by 42757?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/(-65))\/((-1)\/(-5)). Suppose -h = 2*q + 5. Let w = 0 - q. Solve -2*c - w*c + 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 6:32 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Let h = 236346 + -236346. Which is the closest to d? (a) -0.1 (b) 3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 - ((-1415)\/225)\/(-1). Let g = t + 44\/9. Calculate the common denominator of g and -39\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 times 0.098?\nAnswer: -8.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2580730 = -68*z - 785326. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 - 4*d**2 + 4*d**2 + (-d**3 + 0 + 0)*(-2*d - d + d) + 8*d**4 - 11*d**4 + 4*d**4 + (-1 + 1 - d)*(-2*d**3 + d - d).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.6 (b) 0.2 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*n**5 + 23*n**4 + 17933*n**3 - 417188648*n**2.\nAnswer: 10920*n**2 + 552*n + 107598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -23 - 25 - -14?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/166440 and 173\/15330.\nAnswer: 1165080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20\/11 + 89\/55. Let m = -43 - -46. Which is the smallest value? (a) 5 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(1575) - sqrt(1575)*-2) + sqrt(1575))\/(sqrt(9) + sqrt(36)*1) + -1)*5.\nAnswer: -5 + 100*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 plus 217275?\nAnswer: 217312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 807 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2649)\/8830*((-50)\/(-4) - 0)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y. Let g(d) be the first derivative of -3*d**3 + 19. What is g(l(a))?\nAnswer: -324*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.69*-5.\nAnswer: -28.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54764859 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1 (b) -5\/27 (c) 1.1 (d) 5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.0644 * -881\nAnswer: 937.7364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 294749537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 4, 34\/5, 227814, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 11\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:57 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 481*n**3 + n**2 + 213*n - 3.\nAnswer: 2886*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 13) in base 16?\nAnswer: 5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 15*a - 2. Suppose -19*h + 9*h + 4430 = 0. Let y = h - 459. Calculate b(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f + 70*f + 400. Sort -25, -14, f.\nAnswer: -25, -14, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 25 = 3*x. Suppose -3*y = -3*i - 18, 4*i = -y + 1 - 30. Let q = x - i. Is 1 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 17*t**2 + 34*t - 8. Let p be l(15). Suppose -5*q + p = -148. Calculate the greatest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 323133?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -173*d**2 - 42*d**2 - 39 + 66 - 29 to the form h + o*d**2 + j*d and give o.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -507 - -774. Suppose 2057 = 4*d - o. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -223 (b) -3 (c) 2\/3 (d) 0.1373 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 1 = -7*u, -4*u + 8*z - 13*z - 7 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 9*k**2 + 7*k - 8. Let q be v(-8). Suppose 2*t - 4*t = q. Suppose t = -u - u + 17400. Round u to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 633656.\nAnswer: -37\/158414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (-79 - -77) - (-1 + 10)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*r + 4*r - 4*r. Suppose r = 4*s + y - 83, 12*y - 10 = 14*y. Calculate the highest common divisor of 418 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1469, 2930, 4389, 5846, 7301, 8754?\nAnswer: 10205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 4\/9, -21, 12, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*s**3 + 20*s**4 + 5*s**2 - 4 + 4 + 2*s**3 = 0. What is s?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 5*v**2 - v**2 + v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -42 and 275 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 541 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.2 - 0.2. Let q = f - 3.2. Let w = 0.04913 + 1.95087. Put -0.05, w, q in descending order.\nAnswer: w, -0.05, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 7. List the prime factors of -3 + (y + -1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 3 (b) 1 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -5. Let w(v) be the third derivative of 1\/3*v**3 - 1\/24*v**4 + 1\/60*v**5 - t*v**2 + 0 + 0*v. Calculate w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1221?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -149*n**2 + 52*n**2 + 39*n**2 + 29*n**2 - 16*n to the form d*n + f*n**2 + t and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -8723, 1\/3, -69\/5 in descending order.\nAnswer: 1\/3, -0.3, -69\/5, -8723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b*d + 706*b + 23421*d - 20 wrt d?\nAnswer: -b + 23421","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*q + 253135 = 1046. Calculate the remainder when q is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -115021142 divided by -3\nAnswer: 115021142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352*n = -369*n + 255. Solve -5 - n = 10*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/36)\/((-4760)\/(-10710)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897*f = 889*f + 664. Calculate the remainder when 992 is divided by f.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 - 9*o**3 + 13*o + o**2 + 0*o**3 + 19*o - 35*o as r*o + v*o**3 + p*o**2 + n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-7 + 7 + -1 - (-6 + 11))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 12 + 49 = 7 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f + 71*f + 151*f + 13*f.\nAnswer: 204*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101022012 (base 3) in base 16?\nAnswer: -1d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + 3)\/(3\/(54\/(-4))) - 198\/(-22)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, z: 5}. Give prob of picking 2 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 7, -6, -45, -122, -249?\nAnswer: -438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + -5 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/c**(4\/9)*c)*c)**(-1\/2)\/(c\/(c**(-1\/29)*c)*c)**(-1\/11) assuming c is positive.\nAnswer: c**(-3607\/5742)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-nine halves of a centimeter?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148658 and 23422.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + g = 60241, -2*g = -5*f + 230055 - 79421. List the prime factors of f.\nAnswer: 2, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujuwjwjjujuijwju. Give prob of picking 2 j.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132666 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -77, -77, -7, 157?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccycicuiiciicuciu. Give prob of picking 2 c and 1 y.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 766609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31346, 31130, 30914, 30698?\nAnswer: 30482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - 4559*m**2 - 15162*m - 103567. Calculate s(1523).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -11, 0.\nAnswer: -11, -3, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/19)*u*u**10\/u)\/(u**(-3\/8)\/((u*u\/(u**(-2)*u))\/u)) assuming u is positive.\nAnswer: u**(2041\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (82 - ((-5 - -10) + -6 - (-15 + 1)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22723340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - h + 10. Give w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, w: 1, p: 1, a: 1, s: 1}. Give prob of picking 1 s, 1 p, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 29*b + 247 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 11. Let h(v) = v**3 + 5*v**2 + 5*v - 4. Let w be h(d). Let p be (21\/(-6))\/7*w. Solve 3*m - 7 = 2*k - 6*k, 2*m - 6 = -p*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 4:35 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -572*n**2 - 564*n**2 - 1453 - 522*n**4 + 1136*n**2 with respect to n.\nAnswer: -2088*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/4, -4, 0, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*a - 13 = 0, -t + 4*a = 2 + 21. Let g be 1\/t*18\/3 - 3. Sort -9, 10, g in descending order.\nAnswer: 10, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -1\/5 (b) -4 (c) -1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**2\/2 - 7*k - 2. Let c be x(-9). Let o = -0.1 - 0. What is the third smallest value in -4, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 6 = -5*w. Let l(h) be the first derivative of 2\/3*h + 0*h**2 - 2\/9*h**w - 1. Factor l(c).\nAnswer: -2*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 4. Let l be t(-12). Let m = 23 + l. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58580142 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyoux. What is prob of picking 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(20)\/(sqrt(6)\/sqrt(3) + sqrt(2)))\/(sqrt(5) + (sqrt(30)\/sqrt(96) - sqrt(5))) + 5).\nAnswer: -5 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*j + 5 = -27, 4*w = -2*j + 8. Suppose 2*f + 4*f = w*f. Suppose -12*o + 20*o - 944 = f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56962, 56812, 56562, 56212?\n\"Answer: -50*r**2 + 57012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 3b?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45504 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:06 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = 9*i + 26*i - 72 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c**2 - 5 + 0*c - 248*c**2 + 0*c.\nAnswer: -223*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 42*v + 515. Calculate s(17).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = g - 2*g. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -1. Suppose -10*s + u*s = -15. Is s smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*k = -1358*k - 80 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 111*r**7\/7 - r**5\/4 + 4425*r**3\/2 - 4365*r. Find the second derivative of t(a) wrt a.\nAnswer: 13320*a**3 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/5 or 4864?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y - 3. Is l(3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.77526 years to decades.\nAnswer: 9.877526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1515*p**4 + 4546*p**3 - 4548*p**2 + 1518*p - 1.\nAnswer: -(p - 1)**3*(1515*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1080 + -1059. Solve 0 = 10*i - 3*i + z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 79, 103, 137, 181?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 7 = 5*d, 2*d + 5 - 19 = -5*b. Put b, -8, -1, -5 in descending order.\nAnswer: b, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2774.7288 to the nearest integer.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4216276 (base 10) in base 14?\nAnswer: 7ba788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5616\/429 - (-2)\/(-22) - -23?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23426 - -23428. Put -8\/63, f, 0.3, 0.5, 5 in increasing order.\nAnswer: -8\/63, 0.3, 0.5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/12 + m**3\/6 - m**2\/2 + 97*m. Let q(i) = -4*i**2 - 2*i + 1. Determine q(p) + 3*y(p).\nAnswer: -p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -33*o + 15. Let k be r(-4). Calculate the greatest common divisor of 245 and k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 3 - 1) + -17 + (-3 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u**2 - 6*u - 5. Suppose 420*p = 4*g + 424*p + 36, g = 3*p - 1. Let h(j) = 12*j**2 + 13*j + 11. What is g*s(c) - 3*h(c)?\nAnswer: 6*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*c - 8 = -2*c, -p + 7 = -2*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.031 and -0.4.\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 2*l - 3*l)*(2 + l + 3 - 3).\nAnswer: 2*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Let m(s) = 3*s + 5. What is the remainder when m(0) is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58512451*c**3 + 563894870?\nAnswer: 175537353*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = 8. Let n(v) = 5*v**4 + 2*v - 3. Let k(a) = -11*a**4 - 4*a + 7. Let w(s) = g*n(s) + 3*k(s). What is the second derivative of w(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -712, -1427, -2144, -2863, -3584, -4307?\nAnswer: -5032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 4*q - 56. Suppose 4*n + 3*t + 57 = 8*n, -4*n = 4*t - 64. Let a be p(n). Solve 0 = -a*r + v + 2*v + 10, -5 = -r + 2*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412295 divided by 65\nAnswer: -6343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2467*i**3 + 0*i + 2460*i**3 + 2*i - 4912*i**3.\nAnswer: 15*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 2*y - 2. Let g = -7 - -13. Let s be h(g). Let z = 94 + s. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (200\/(-96)*8\/20)\/((-4)\/(-6))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/30)\/(-2))\/((-8)\/(-40)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 4:31 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*u + 11*u**2 - 5*u**2 + 21*u - 19*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 20*v + 16. Let d be x(19). Let o be (0 + -12)\/d - (-2 - -2). Suppose o*j - 116 = 76. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 3. Suppose 0 = 26*f - 41*f + 45. Suppose -i*p - 2*r + 20 = 0, 14 = -p + 2*p - f*r. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 17. Solve 25 = m - 0*m + 5*s, 0 = -s + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) 0.2 (c) -3\/5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.02277972+5\nAnswer: 5.02277972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 30*c - 4 - 8*c + 15*c - 3 + 20*c. Determine j(2).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(10\/55 - 30\/44). Let b be y - -6 - (6 - (12 + -7)). Solve b*a + 4 = -5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 0.6382.\nAnswer: 0.2382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*o + 45 - 69, -18 = 3*l + o. Let k(g) = -20*g - 114. Give k(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*j + 20032 = -128*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5092 = -2*l + 3*f + 5040, l + 61 = 4*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sc when two letters picked without replacement from {g: 1, u: 1, m: 1, c: 1, o: 1, s: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 4*s**2 - 7. Determine u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/6 - 277*x**2\/3 + 10199*x\/6 - 9095\/3 = 0?\nAnswer: 2, 17, 535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 s when three letters picked without replacement from {b: 2, s: 4}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -530*x + 17. Is d(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.4 (b) -3 (c) 70249 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0 (c) -3 (d) 2\/5 (e) 12.72 (f) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1101043 + -1201?\nAnswer: 1044342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 + -43 + 26 + 4\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2 + 4*j + 9. Let a be l(-14). Suppose 0 = 4*z - 5*p - 1537, -5*z - 2*p = -0*p - a. What are the prime factors of 3 + (z\/2 - (-7)\/(-14))?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 128 + -120. Let q(a) = -a + 6. Give q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1))**(-1\/46)*((t*t**(-2\/7)\/t)\/t*t)**(-7) assuming t is positive.\nAnswer: t**(93\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18 - 8)*(-14)\/(-5). Let l = s - 2. Calculate the highest common factor of 234 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*k + 57404, k + 34*i - 39*i - 28709 = 0. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121884216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1173 (base 10) to base 16.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = 3*w, 0*w + w + 27 = -2*g. Let z = g - -19. Find m such that 4\/7*m**2 - 6\/7*m - 2\/7*m**5 - 4\/7 + 8\/7*m**3 + 0*m**z = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 26*c + 62. Calculate the remainder when y(-23) is divided by 52.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6\/527525 = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 918 and 306?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16422 equal to -2223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 233, 225, 217, 209, 201, 193?\n\"Answer: -8*g + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17627138 to the nearest integer?\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/29 >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/9)\/((35\/3)\/5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -469 or -573?\nAnswer: -573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 672780 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 t(a) = -a**3 + 26*a**2 + 1292*a - 35691. Calculate t(28).\nAnswer: -1083","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55884*w**6*x - 10*w**4*x**3 + 221*w**2*x**3 - 6298*w**2*x**2 - 11*w*x**3 wrt w.\nAnswer: 6706080*w**3*x - 240*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -19, 0.1.\nAnswer: -19, 0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cii when three letters picked without replacement from {w: 2, a: 1, t: 3, s: 3, c: 4, i: 4}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 674172, 1348345, 2022518, 2696691?\n\"Answer: 674173*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + sqrt(7) + (sqrt(7) + (-2*sqrt(7))**2 - sqrt(7)) + -3*(sqrt(7) - (sqrt(7) + 1)).\nAnswer: sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -34206*u + 342060. Give w(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7208 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x - 76 = 0. Let y = x + 43. Solve -2*v - 14 = v - o, 5*v = -2*o - y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1 + (-2728)\/1302?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 61. Let y be (0 - -229)*-2 - (-4 + p). Let o = -310 - y. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 591 = 5*k, -5*k = 32*x - 36*x + 793. Calculate the remainder when 706 is divided by x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 731, -0.1, -21, 0.05.\nAnswer: -21, -0.1, 0.05, 4, 731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99719 - 99719 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1564*d + 1564*d - 2*d**2 + 13*d**3 + 2 + (2*d + 2*d**2 - 2*d)*(-d - 5 + 5) to t + y*d + i*d**2 + g*d**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 25\/4 of a milligram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*l = 1857*l + 12915 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17239 - -17247. Let m(c) = 11*c**2 + 18*c + 2. Let i(o) = -7*o**2 - 12*o - 1. Determine n*i(h) + 5*m(h).\nAnswer: -h**2 - 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 753565294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/7 - -1*805 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**4 + 4 - 106*l - 102*l + 206*l as j*l**2 + i*l**4 + r*l + y*l**3 + b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*t - 41*t = 30. Suppose -4*x + 61 = -x - j, -x = 5*j - t. Let p be 250\/(-4)*(-20)\/25. Calculate the highest common factor of x and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -401, 2, 3, 4 in decreasing order.\nAnswer: 12, 4, 3, 2, -4, -401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 81. Suppose 2*z = 5*t + 5, -4*z = -5*t - 7*z - f. What is the fourth smallest value in t, 0.17, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3 + 10*i + 3*i + 21*i**3 + 4*i**4 + 6*i + 33*i**2 = 0. What is i?\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 8*s - 26. Give l(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**2 - 5*a + 9. Give m(5).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z)**(-2\/15)\/(z**0)**(-1\/53) assuming z is positive.\nAnswer: z**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 191 and -5836.\nAnswer: -1114676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 21*h + 173. Let z be l(-8). Let w(s) = s**3 - 6*s**2 - 5*s - 7. Let c be w(7). Solve -3*j = z*o + 22, 2*o - 4*o = 3*j + c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -99*x**4\/2 - 36*x - 11. Find the first derivative of n(r) wrt r.\nAnswer: -594*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 l when two letters picked without replacement from mvuvmlvmuvmvvu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/360 + m**5\/40 + 17*m**3\/6 - 42*m**2. Let r(y) be the first derivative of t(y). Suppose r(w) = 0. What is w?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14811 - -28764. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*n - 4743 = 8793. Calculate the lowest common multiple of n and 28.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-44) - 124\/77)\/((-35)\/42).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7*b = -15. Suppose b*i - 5*p - 92 = -i, -i + 23 = 5*p. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2\/11, -2, -2.1, 0.2, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 69, 3, -5881, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5480 is divided by 1356.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-358)\/(-10) + 2\/(-5)*2. Suppose -4*l + 28 = -2*i, 5*l - 2*i - w = 2*i. What is the highest common factor of 91 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -4 - ((-108)\/(-21))\/3. Suppose -4*d + 4 = 2*w, 2*w = 4*d - 5*d + 4. Let r be 1\/(w*3\/(-30)). Which is the nearest to f? (a) -3 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(51) + sqrt(6171) + sqrt(6171) + (sqrt(6171) - -1*sqrt(6171)))\/sqrt(3) - -2*(4 + (-2 + sqrt(17))**2)*-2.\nAnswer: -95 + 61*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14796722.\nAnswer: 2, 7398361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 8. Let s = -8148 - -8147. Let c(q) = 1. Determine s*b(o) - 3*c(o).\nAnswer: -3*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4))**(15\/4)*n**(1\/3)*n*n**(-9))**(13\/5) assuming n is positive.\nAnswer: n**(-4199\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9))\/(6\/360*4). Suppose r*c + 5*j - 540 = 0, -7 + 23 = 4*j. Let v be 1*-1*(-21 - -8). What is the highest common divisor of v and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 699296 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 126*g - 2791. Give x(22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69492 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*y = 6. Suppose -y*w - 9 = -6*w. Suppose t + 40 = 2*t - 5*z, z - w = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t - 3. Let m(y) = -y + 1. Suppose 4*c = -21 - 19. Let s = 9 + c. Give s*m(h) - w(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4012 and 83\/1814444?\nAnswer: 107052196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)\/o**16 assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.9 + -14. Let p = q - 12.9. Let y = -0.79 - 0.21. Which is bigger: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*m + 2*m + 6*m**2 - 3*m**2 + 12*m**2 wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*x = 120, h = 4*h + 4*x - 121. Calculate the greatest common factor of h and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5 + 21. Suppose -8 = t*r - 32. Suppose r*l + 5*l - 808 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. What is the remainder when m\/(3 - (-20)\/(-7)) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l - 4*t + 20 = 0, -20 = -l - 4*t. Solve 5*r = 4*g - l*g + 17, 2*g = -3*r + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 137.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b3572 (base 14) in base 12?\nAnswer: 3a9214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lizgglclzizz. Give prob of picking 1 z and 1 g.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 506684753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w + 34. Let z(x) = 4*x + 35. What is 7*u(t) - 6*z(t)?\nAnswer: -3*t + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1776 + -0.0776. What is the smallest value in 0.0513, -3\/8, 0, i?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6282 and 11866.\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 9*j**2 - 29*j - 33. Let u be p(-9). Suppose u = 11*n - 8*n. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(21\/4)*(-1)\/(-2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1281 (base 10) to base 2.\nAnswer: 10100000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(56)\/(-3*sqrt(7))) + (sqrt(99) + -2 - (3*sqrt(11)*2)**2).\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, i: 10}. Give prob of picking 3 t.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(((-8)\/8)\/(10\/(-14))).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8*b = 95. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 6:32 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (-6 - (20 + -43))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*l**2 + 37*l**2 - 24*l**2 + (-3*l + l + l)*(-l + 3 - 3) + 3*l**2 - 5*l**2 + 2*l + 0*l**2 as q*l**2 + n + a*l and give q.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h**(2\/13))\/(h*h**(3\/8)))\/(h**7\/(h\/((h*h**(-2)*h)\/h))))**(-34))**(-20\/7) assuming h is positive.\nAnswer: h**(-46155\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q + 5. Let i be (-1)\/(-4) - 11\/(132\/63). Let o be k(i). What is the tens digit of 72\/(-5)*o\/(-42)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 6*c**2 - 4*c + 2. Let r be w(-7). Let m = r + 22. Calculate the greatest common divisor of 21 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1470 + 1091. Calculate the common denominator of 48 and (u\/54)\/(-13) + 1.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 10*v + 6. Let r be 1\/3*5\/((-40)\/v). Factor 1\/4*l + 1\/4*l**2 - 1\/4 - r*l**3.\nAnswer: -(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from oyyoorouyoruorr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4 - 144*j**3 + 159*j**2 - 1722*j wrt j.\nAnswer: 12*j**2 - 864*j + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55 (base 9) to base 2.\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 8. Let i be d(6). Suppose 0 = 4*q + j - 9, 8 = -i*q + 4*q + 4*j. Differentiate 0 + 0*g**3 - q + 2*g**3 wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57885 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 - 236. Let n = 0.098 + -0.09. What is the smallest value in n, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7169 - -4.2831. Which is the fourth smallest value? (a) 507 (b) k (c) 2 (d) 4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n. Let u(w) be the second derivative of -265*w**4\/2 + 874*w + 3. Give j(u(h)).\nAnswer: 6360*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68297?\nAnswer: 163, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 5*m - 113. Give r(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, u: 3, d: 4, b: 2, g: 6, j: 2}. What is prob of sequence qguj?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 16434605969436 and -5.\nAnswer: 16434605969431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2646*b - 2650*b = 2*r, 4*b = 2*b + r - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 7*c**2)*(-5*c + 4*c + 3*c)*(368 + 54 + 15).\nAnswer: -6118*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1582 by -1582.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1164, 1124, 1018, 816, 488?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/20 + f**4\/4 - f**3\/2 - f**2\/2 - f - 4. What is u(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x - 9. Let k be y(-2). Solve 5*g - 19 = 4*t, t + g - 7 = k*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 68. Let i(q) = q + 9. What is -4*i(o) - t(o)?\nAnswer: -o - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 12) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -11. Let i be (j + 3)\/1 + 1. Let w be (18\/15)\/((-6)\/(-20)). Put w, i, 0 in decreasing order.\nAnswer: w, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a centimeter?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 6 = -12*j - 3*w, -5*j - 3*w = -22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 6*k**2 + 8*k - 5. Let u be s(5). Suppose 0 = 2*l - u, -6*a + 4*l - 5 = -a. Solve 25 = -a*z - 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173 and 346?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 4) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 4 - 4)*(-5529*z**4 + 6320*z**2 - 6320*z**2).\nAnswer: -11058*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12425, 2, 185, 0, -4 in decreasing order.\nAnswer: 12425, 185, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -101. Suppose 5*t - 3*v - 6 - 1 = 0, 5*t = -x*v + 15. Put 33, -1, t, 0 in ascending order.\nAnswer: -1, 0, t, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 162562485 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5227878.\nAnswer: 2, 3, 37, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let k(w) = -2*w**2 + 4*w + 24694. Determine k(h(i)).\nAnswer: -8*i**2 - 8*i + 24694","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r - 170. Let f be i(-23). Is (-219241)\/(-57) - 6\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78587\/14 + -5605. Calculate the common denominator of s and 103\/62.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*r - 2*r, -2*f + 2*r + 42 = 0. Solve 0 = -0*k - 4*k + f for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 7:09 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 38?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.4, 4, -2\/5, 2\/7 in descending order.\nAnswer: 12.4, 4, 2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 50. Solve -h + 5 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401*l + 15379 + 1739 = -17907 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c**2 - 2*c**2 - c**4)*(11058 + 5030 + 1183 + 15479 - 5463) to the form v*c**2 + x + k*c + r*c**4 + p*c**3 and give r.\nAnswer: -27287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a kilometer in meters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -6.\nAnswer: -6, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = 2*u + 82. Suppose -2*n - 157 = -5*x, 2*n - 62*x + 58*x + 152 = 0. Let y = n - u. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-160)\/8)\/520)\/(-18*19\/(-684))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 29*g - 195. Let s(w) = w**3 + 19*w**2 + 30*w - 54. Let d be s(-17). Let x be b(d). Solve 2*u = 5*a - x, 3*a - 6 - 3 = -2*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Suppose -3*t + 1 + k = 0. Let d = -9 + 11. Sort d, -4, t in descending order.\nAnswer: d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2595*q + 2489*q - 23654 - 49004 = -21818 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20099 = -371*m + 74135. Solve -78*q = -214 - m for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 21*h**4\/4 + h**3\/3 - h**2 + 2*h - 2. Let u be 11 + (-160)\/(12 - -4). Calculate the remainder when 131 is divided by p(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 - -74. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2593681*w**2 - 2593116*w**2 + 3 - 5.\nAnswer: 565*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 10 = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -624 and -2.\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*x + 10 = 280*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291881 is divided by 1998?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from eeesggeseegeeeyzg?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -113064184 divided by -5528\nAnswer: 20453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**6\/720 - o**4\/48 - o**3\/2 + 3*o. Let b(u) be the second derivative of x(u). Factor b(l).\nAnswer: (l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15.25 in 2\/17, -1\/8, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pep when three letters picked without replacement from {p: 6, e: 2}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 56. Let r = 98 - b. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12546.32724795 - 12546.3. Let m = g - -5.97275805. Let v = m + -6. What is v rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*w - 10 = 0, l - 6*w = -w + 25. Suppose -b - 3 = l, -4*b = -c - 0*c + 44. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -5, -4, 691, 1, 4, -3 in decreasing order.\nAnswer: 691, 26, 4, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (8\/5)\/((-3213)\/1610 - (1 + -3)) is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14238 divided by -2?\nAnswer: -7119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 27*b**2 - 36*b + 880. Let z be q(27). Sort 0, 2, z, 4 in ascending order.\nAnswer: z, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/3 - 49834*s**4\/3 - 49830*s**3 - 149486*s**2\/3 - 49828*s\/3.\nAnswer: -2*s*(s + 1)**3*(s + 24914)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 873 - 468 = -30*i + 555. What is the nearest to 20 in 4, i, 0.3, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -123 + 105. Which is the third biggest value? (a) t (b) 0.3 (c) 11 (d) 4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 8 - (-15 - 15) - (4 + 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**4 - 20379*k**3\/4 + 520503*k**2\/2 - 4458075*k\/4 - 294975 = 0. Calculate k.\nAnswer: -1748, -1\/4, 5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z - 4. Solve 0 = -3*c - z - 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.6 + -2.56. Is a smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = r. Suppose 2 = -4*s - r. Sort -5, 0, s in descending order.\nAnswer: 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.151 - -0.051. Let w = i + 2.5. Sort -5, 4, w in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9121 by -10.\nAnswer: 9121\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 + 16*v. Let s(k) = -k**2 - 3*k. Let y(u) = -7*u - 11. Let g be y(-2). Suppose 5*n = 6*n - g. Calculate n*c(x) + 16*s(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 275 + 218 + 12*c - 13*c - 133 + 56 as m*c + p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, s: 4, g: 1}. What is prob of sequence llg?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 4*c**2 + 4*c + 2. Let y = -14 + 10. Let j = 0 - y. What is the smallest common multiple of d(j) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28573, -57239, -85903, -114565?\n\"Answer: b**2 - 28669*b + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -93928, 2\/5, -282 in increasing order.\nAnswer: -93928, -282, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1036 and (-626)\/(-240) + 170\/(-5100) + 1\/5.\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -142257 <= -142256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 2*s**2 + s + 1. Suppose -4*q = 5*l + 6, -5*l - 59*q = -60*q + 11. Give d(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 4. Let d be m(-6). Suppose -4*s - 308 = 4*n, 15 = 3*n - d*s + 221. Does 12 divide (n\/(-21))\/(2\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 21. Suppose 48 = 5*v - p. Suppose 5*k = -4*l + 206, -l + 4*k = -v - 24. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c69b0 (base 15) in base 11?\nAnswer: 3a0313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 547339367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + f + 10. Determine b(-10).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*l + 11*l - 5*l to b + k*l and give k.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let t(v) = v**2 - 2*v - 5. Let s be t(4). Suppose 3*b - s = 3. Let g(p) = -b*p + 0*p - p. Determine g(m(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.0662, -0.3, 65, 2\/9, 85 in descending order.\nAnswer: 85, 65, 2\/9, 0.0662, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 8874003.\nAnswer: -1\/8874003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 + -2*(27\/6)\/(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83\/3 - 28. Let w(n) = n - 4. Let k be w(4). What is the nearest to 0.2 in z, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 + 931*x + 947. Let l(v) = -v**2 - 311*v - 316. Let s(y) = -2*b(y) - 7*l(y). Factor s(k).\nAnswer: -3*(k - 106)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71936243*i**6 - 5097199*i**2 + 2*i - 5?\nAnswer: 8632349160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 20*v + 1. Is l(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29953213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 51.73603mm?\nAnswer: 51736.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14631 - -73784131\/5043. Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*o + 124, 0 = -2*b + 4*o + 67 - 21. Suppose 3*q - b = 4*x, 0 = 2*q - 6*q - x + 63. What is the remainder when q is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 greater than 45315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 11121603.\nAnswer: -44486412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + n = -6 + 2, d = 4*n + 1. Let m = -9 + 11. Sort -3, m, d.\nAnswer: -3, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -3*k - 2*g, 3*k + 3*g + 83 - 131 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(16\/(-4))*176\/22.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78993 by 3.\nAnswer: -26331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 13 - (48 + -32)) + 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -711, -719, -739, -777, -839?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01 + -0.235.\nAnswer: -0.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 154 - 82 - 26803*j.\nAnswer: -26803*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b - 3. Let l = -12 - -10. Let t be x(l). Suppose z = a - 1, -t*z - 2*a - 3*a = -45. Calculate the greatest common factor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l)\/l)**(-12) assuming l is positive.\nAnswer: l**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -27. Sort -4, 11, n.\nAnswer: -4, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 14*s**2 + 11*s - 35. What is the tens digit of t(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1473 (base 9) to base 16\nAnswer: -45f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 17 = -4*k + 3*k, 5*k + 5*i + 15 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (561\/(-605) + 1)*(-7)\/((-84)\/90)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 26*o**2 - 65*o + 995. Determine x(-25).\nAnswer: 1995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -622 = 3*o - 727. What is the nearest to -0.1 in -2\/5, -0.1, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5060 divided by 23.\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*m + 1 + 2, -3*b - 2*m = -5. Solve 10 = -b*n - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 16, -6*q + s + 32 = -2*q. Suppose -4*b + 2*h + 214 = 0, -2*h = q - 13. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 20*d**3 - 16*d**2 + 26*d**2.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -2951.\nAnswer: 2950.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 11 + 14)*(65*g**2 - 13*g**2 + 17*g**2) in the form b*g + n + a*g**2 and give a.\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7168, 14280, 21388, 28492?\nAnswer: 35592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Suppose g = -3*g. Let x = 3 + g. Solve p = z + x*m + 6, -5*z + 2*m - 16 = 3*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/7 - -15 - -12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 10 - 10 - 312*s**2.\nAnswer: -312*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 402*w**2 - 5188*w - 88. Determine u(13).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -0.4 (b) -16 (c) 1 (d) 42 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -51, -100, -151?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -206694334.\nAnswer: -1\/103347167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6270, -12561, -18876, -25215?\nAnswer: -31578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 335150 (base 6) to base 5\nAnswer: 1401422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 7*k**2 + 8*k + 3. What is the remainder when 2*(-3)\/(-3) + 57 is divided by a(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-2\/11)))\/j*j*j\/(j**(-2\/5)*j*j)*j*j)\/(j*j\/(j\/(j**(-2\/15)*j))*j*j**0) assuming j is positive.\nAnswer: j**(-212\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -2b7aa68?\nAnswer: -2b7aa5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 303 and -2.05?\nAnswer: -621.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 5*o - o)*(o - 1 + 1) + 0*o**2 + 4*o**2 + 0*o**2 + 3*o**2 - 3*o**2 - 2*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22103.06439 rounded to the nearest one hundred?\nAnswer: -22100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -6\/7, 1, 0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9305468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79043.54l to millilitres.\nAnswer: 79043540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 1 + 20 - (16 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - 11*-10 - -4. Let x = 109 - v. Sort 5, x, 11\/3 in decreasing order.\nAnswer: 5, 11\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3 - 3 = 4*s, -4*j - 5*s = -8. Suppose -j*z + 9 = -11. What is the remainder when 18 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*y = -2648 - 5146 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79162709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3\/9 - 23372*g**2\/9 - 234170*g\/3 - 585800 = 0.\nAnswer: -15, 11716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 208*d**2 - 2*d + 1. Let z be t(1). Calculate the greatest common divisor of z and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1400)*-1)\/(-2*sqrt(98) - sqrt(98)).\nAnswer: 10*sqrt(7)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 338 and 1690?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475 + 475 - 7*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -58*o + 1. Calculate the remainder when v(-1) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17246 is divided by 93.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-4)*(-4)\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((3 + 6*-5*(-2 + sqrt(343)))**2 + -1).\nAnswer: -938004 + 79380*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**2 - 28*x**2 - 28*x**2 - 28*x**2 + 109*x**2.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0 = -8. Suppose -c - f = -0*c. Let l(b) be the first derivative of -b**4\/4 - 2*b**3\/3 - 2*b**2 - 2*b + 107. Determine l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -900 - -970. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + 1. Suppose 5*t = q + 2*q - 53, -w*q + 4*t = -49. What is the second derivative of 5*n**2 - q*n + 311 - 311 wrt n?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -662 + 671. Suppose -i + 3*c - 12 = 0, 21 = 2*i + 6*c - 3*c. Let p(j) = 2*j**2 - 5*j + 4. What is the smallest common multiple of s and p(i)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -45. Suppose -4*a = -9 - x. Solve a = 4*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193128 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 9:16 AM?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 280228.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((260\/(-30))\/(-13))\/((238\/525)\/(-17))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1397398 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(76) - (sqrt(76) - (sqrt(76) - (sqrt(76) + 2*sqrt(76)*-6))) - (2*-2*sqrt(76) + sqrt(76))))\/((6*sqrt(48)\/sqrt(3))\/(sqrt(1000)\/sqrt(10))).\nAnswer: 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + w = -w + 4, 3*f - 5*w = -10. Solve 3*r + 0*r = f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9619, 23681, 37743, 51805?\n\"Answer: 14062*p - 4443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*v = 203, 0 = -0*w - 4*w - 3*v + 451. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + 2*f. Let y(n) = n**2 + 1. Give -x(i) - y(i).\nAnswer: -5*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -53. Let s = -17 + 7. Let x = s + 12. Sort 1\/3, x, k.\nAnswer: 1\/3, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (120\/(-16))\/((-6)\/8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -842941\/5 or -168588?\nAnswer: -842941\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -429032898.2 take away -2.88?\nAnswer: -429032895.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/(y*y*y*y**(-1\/8))*(y*y**(-2\/15))\/(y\/y**(-11)))**(2\/87) assuming y is positive.\nAnswer: y**(-29\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q = -8*q - 33740. Does 13 divide -4 + q\/(-3) - (-8)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11846647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1. Let p(q) = -q**2 + 4*q. Determine p(r) + 6*t(r).\nAnswer: -r**2 + 4*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47676950, -47676952, -47676962, -47676986, -47677030, -47677100?\n\"Answer: -c**3 + 2*c**2 - c - 47676950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.5 (c) -0.3 (d) 3 (e) -31497 (f) -5 (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*b*w**2 + 52*b*w - 2*w**3 + 1265*w**2 - 249*w wrt w.\nAnswer: 24*b - 12*w + 2530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.014 (c) -0.2 (d) 80\/7 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/(8\/(-28))*(-176)\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12765, 24179, 35593, 47007, 58421, 69835?\n\"Answer: 11414*l + 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2159669.61 minutes?\nAnswer: 214.2529375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 2695 + 3259 = 0. Solve -4*v - 2 = -2*y, -2*y + r*v + 2 = 89*v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (-7 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12132 + -12132.0017672. Round d to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 4*z**3\/3 - 32*z**2 + 60*z - 4. Factor b(i).\nAnswer: 4*(i - 15)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6418487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.115 times -3\nAnswer: 0.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/3)\/o)**5*o*o*o*(o\/o**(3\/7))\/o*o*o**(-4))\/((o\/o**(3\/7)*o**1)\/((o*(o*o**(-2\/5)*o*o)\/o)\/(o*o**3*o))) assuming o is positive.\nAnswer: o**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 - 1664312*k - 34952316 = 0 for k.\nAnswer: -21, 416099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -23.0013. What is t rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 3 (c) -4\/5 (d) 0.152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*u - 4*k - 160, 3158379*u + 4*k = 3158378*u - 27 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 16 = -9*y. Let q be 2\/5 + (-472)\/(-20). Suppose -13 = -o + 5*c, -2*o + 5*c + q = 8. Calculate the remainder when o is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*z - 2 - 4, z + 2 = 3*d. Suppose -49 = 4*h + 3*y, 4*h + y + y = -54. Let g = 19 + h. Solve f + d*c - g = 4, -f = -c - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90369 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/6)\/(32\/720*-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 6. Suppose 26 - 6 = g*y. Solve -y*o - 35 = 5*x, 0*x + 10 = -x - 2*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69 + 160 - 1 + 10*v in the form l*v + n and give n.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 8*y - 22 = 5*i, -13*y + 2*i + 43 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40785 and 24965?\nAnswer: 203639505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -344 + 362. Factor -42*g**2 + 15 - 3*g**3 - x*g + 67*g**2 - 26*g + 1 - 12*g.\nAnswer: -(g - 4)**2*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 20*o + 4. Suppose -i = -4*i - 5*w + 3, -4*w = -3*i + 30. Let m be h(i). Suppose -7*b + m = -72. Calculate the greatest common divisor of b and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4037994 = 3*b, -2*o + 4038004 = -126*b + 129*b. Round b to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1360 - 914. Calculate the remainder when c is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 - -6)*(-3 + 4). Does 7 divide x\/((-45)\/10) - 338\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 1598655 + 1599975 = 0 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.713677mm?\nAnswer: 713.677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/(g\/(g*g*g*g**(-1\/3))))))\/g**8)**(-18))**(-21) assuming g is positive.\nAnswer: g**(-2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/10 and 77\/44888?\nAnswer: 224440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) 5 (c) -4\/49 (d) -228\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3921.818ms in seconds?\nAnswer: 3.921818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 134*c**3*f*p + 32*c**3 - c - f - p with respect to p.\nAnswer: 134*c**3*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.8, -1\/5, -3, 2\/25, -4\/11?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 e when four letters picked without replacement from {n: 2, i: 3, x: 1, t: 6, e: 5}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -19266 in decreasing order.\nAnswer: -2, -4, -19266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 260\/25 + 9\/15. Suppose -5*s - 2934 = -o*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 14*d**3 - 4*d**2 - 5*d - 4. Let p be l(4). Suppose 21*c = 17*c + p. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(180)*2)\/(sqrt(200)\/sqrt(5) + (sqrt(30)\/sqrt(3)*-2 - sqrt(10) - sqrt(10))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10131 - -211020102?\nAnswer: 211030233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/(-3220) - (-63)\/(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*(-704)\/48. Let j = o + 120. Suppose 18 = -z - 4*v + j, 3*z = 2*v + 170. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -41 - 161. Let k = -219 + v. Which is bigger: k or -21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/20)\/1 - (-12)\/15. Put -3, q, 44, -8 in increasing order.\nAnswer: -8, -3, q, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 385*x + 1460.\nAnswer: 5*(x - 73)*(x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 31 = -5*g, 3*t = -5*g + 78 + 35. Suppose 0*u - 180 = -t*u. Solve u*k = 3*j + 2*j, 0 = -5*j + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**3 - 4*n - 6. Let s be ((-1)\/(-3))\/((-6)\/(-36)). Suppose 3*w = -s*w - 30. Let i(b) = 10*b - 5*b - 4 - 9*b**3 + 11. What is w*i(f) - 7*k(f)?\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7594615 a multiple of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 488601.3 millennia?\nAnswer: 48860130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + x**3 + 2*x**3 - x**3 - 115.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 56.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 1. Let n(d) = 26*d - 21. Let o(i) = n(i) + 5*q(i). Let v = -2 + 6. Let t(m) = -4*m + 3. What is v*o(s) + 22*t(s)?\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 30688812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 488.28489 + -487.97. Let z = 385.317 - 385. Let r = i - z. Round r to four dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3032737123 - 3032737123 - 2*c**2 - c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*s**2 + 30*s**2 - 24*s + 24*s.\nAnswer: 160*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 18, -3 in decreasing order.\nAnswer: 18, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, n: 2, l: 4, u: 1, i: 1, w: 3}. Give prob of sequence nl.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -6*p**4\/17 - 20*p**3\/17 - 25*p**2\/17 + 15*p - 4. Let f(v) be the first derivative of r(v). What is o in f(o) = 0?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0363 + 0.0463. What is the third biggest value in 2\/13, u, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*v - 5 = -27, 2*p = -3*v. Suppose -22*w + 25*w = 0. Let j be 0\/(p + -4 + w). Let x(u) = -u**2 - u - 5. Give x(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.080898628 + 0.0809. What is h rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 5, f: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 120, 133, 158, 195?\n\"Answer: 6*y**2 - 5*y + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -69*y**2 + 47*y - 127. Determine u(3).\nAnswer: -607","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 22*j**2 + 13*j + 169. Calculate t(21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 - (20 + -30 - 3 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 242, 249, 258, 269, 282, 297, 314?\n\"Answer: o**2 + 4*o + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -13.312\nAnswer: 572.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.3383552 centimeters?\nAnswer: 0.003383552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = -5*n + 2*n, 0 = 5*n - 4*f. Suppose -5*y + 21 + 9 = 0. Sort 2, n, y in decreasing order.\nAnswer: y, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m + 6*m**4 - 20*m - 11 - 4*m**4 to n*m**2 + p*m**3 + r + i*m + z*m**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -4*x. Suppose -x*i - 36 = i. Is (-51)\/(-2)*(-16)\/i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-39 + 4 + (16 - -62))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -449*s - 38. Let j(g) = -899*g - 78. Let k(o) = 5*i(o) - 2*j(o). What is the first derivative of k(x) wrt x?\nAnswer: -447","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*r**4 + 9*r**3 - 2*r**2 + r - 1722 wrt r.\nAnswer: -792*r**2 + 54*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 9:25 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -11*j - 4*q + 56, 4*q - 44 = -3*j. Calculate the remainder when 15 is divided by (-1 + 3)*18\/j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5636 (base 9) to base 3\nAnswer: -12201020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82713 - 748802. Let m = f - -431515. What is m rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3458138, -2\/5, 24?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 5 = 10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(756) + (sqrt(756) - sqrt(756)*2*-1) - sqrt(756) - sqrt(756))\/(sqrt(108)\/(sqrt(27)\/sqrt(3) + sqrt(9)))*-6)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -279390*8\nAnswer: -2235120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.53 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2 + 1 + 7*d - 4*d. Let s(z) = -z**2 - 22*z + 76. Let j be s(-25). Let n(r) = r. Calculate j*h(p) - 5*n(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 293885871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47868 + 4?\nAnswer: 47872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17199, -17125, -17049, -16971, -16891?\nAnswer: -16809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 603\/45 - (-4)\/(-10). Let j = f - 33. Let g = j - -31. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*w - 11. Let m = -0.7 + 1.7. Is w not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660*c + 655*c = 2*u + 666, 5*c - 3*u = -626. Put 2, c, 1, -4, 5 in descending order.\nAnswer: 5, 2, 1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 + 2 = 5*m, -5*m = -5*s + 5. Suppose 2*r - 13 = -5*u, 4 + 14 = s*r + 2*u. Solve -b + 25 = r*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.91 - 5.163. Let w = q + 0.053. Are 1\/3 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1245819253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 + 18 = 0. Suppose c*t = 4*t + 10. Find the second derivative of 2*o**2 - 4*o + 0*o**2 - o**t wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0.4. Let i = -23 - -24. Which is the second biggest value? (a) i (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (169\/(-26))\/(-1) - 25010\/3904?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*z - 3*z + 3*z)*(-2 - 4616*z - 4625*z + 9261*z) to g + k*z**2 + q*z and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oppn when four letters picked without replacement from ppnoo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06448 + 0.0645689. Round m to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386062587 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: Convert -15 (base 11) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 11. Let x(j) be the second derivative of -j**3\/6 + 5*j**2 - 5*j + 4. What is the remainder when 27 is divided by x(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 207 = -121. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2965806*j = 2965954*j + 5624 for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 225080699?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30 + -b1f11?\nAnswer: -b1ee1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/15? (a) -0.3 (b) -2\/15 (c) -18 (d) -0.1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-18 - -92) + -22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.734683 years?\nAnswer: 0.000734683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2127 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2038132924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/9)\/((-906)\/909 - -1). Let m = l - 34. Let d = m + -6. What are the prime factors of d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h = -31*h + 50. Suppose 5*o - h = -0. What is the least common multiple of 8 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stjf when four letters picked without replacement from {f: 5, t: 4, j: 4, n: 3, s: 4}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/12*-6*6. Suppose -4*i = -i - b. Find the second derivative of -i*r - r - 3*r**4 + 3*r wrt r.\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*s**2 - s + 0*s - 15*s**3 + 4*s.\nAnswer: -3*s*(s - 1)*(5*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*q - 9, 3*t + 2*q - 7*q + 12 = 0. List the prime factors of (3 - t)*10\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4392*y - 3007*y + 2271*y - 4182*y + 103*y to k*y + n and give k.\nAnswer: -9207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 11340*h - 11335*h - 69, -2*h = w - 23 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144*d**6 + d**5 + 4*d**2 - 5 wrt d?\nAnswer: -17280*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/968 and 1\/40?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1965*n**3 - 1838 + 180*n**3 - 1709 + 1436 wrt n?\nAnswer: 6435*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 126*q - 252*q + 125*q. Let r(h) be the second derivative of 2*h**3 + h. Give g(r(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5537, -44278, -149479, -354386, -692245, -1196302, -1899803?\nAnswer: -2835994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -i - 6*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 12*v**3 + 2*v**2 + 2*v + 1. Let m be j(-1). Let t(i) = 4*i - 5*i + 7 - 9 + 0*i. Does 5 divide t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -121, 5.\nAnswer: -121, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -629\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 355370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, u: 2, n: 2, g: 1, f: 1}. Give prob of picking 2 u and 1 n.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/152 and 57\/32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13 and -0.141.\nAnswer: 0.01833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 8*y**2 - y - 100. Calculate the least common multiple of l(10) and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*h + 48*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 509 + -897. What is o rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8ae39 + 34?\nAnswer: -8ae05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 12880847600 to the nearest one million.\nAnswer: 12881000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13682407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2\/3 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - 1384\/(-25604)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746*i + i**2 + 605*i + 2 - 1971*i - 2 + 612*i.\nAnswer: i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - k - 4 = -6, 5*k = 3*t - 22. What is the units digit of (-2 + t)\/(-8*(-9)\/9252)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*u = -48, 5*c - 5*u = 40 + 15. Let q = c + 1. Let d = -11 + 18. What is the least common multiple of d and q?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 + 97*d - 34. Give o(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7606406.\nAnswer: 2, 3803203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 3 (c) -0.02 (d) 4 (e) -0.1 (f) -7.782 (g) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9477811 - -9477791.999977. Let t = m + 19. Round t to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 478746.6 decades?\nAnswer: 4787466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 6. Let w be z(4). Let m(t) = -3*t + 8. Let v(j) = -7*j + 17. Let x(g) = -5*m(g) + 2*v(g). Let r be x(w). Is r at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*f + 57*f - 12 = 0. Solve -4*u + 7 = -4*g + f*g, u = -2*g + 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 10407734?\nAnswer: -10407741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 14*j + 10668 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + x + 2*q = 14, x = 5*q + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -24, -4, -1\/7 in ascending order.\nAnswer: -24, -4, -1\/7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 x when three letters picked without replacement from {j: 1, l: 1, x: 2, k: 1, q: 2, a: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*d**3 + 2*d**2 - 10*d**2 + 8*d**2 + 11*d**2 + 7*d**2 in the form t*d**3 + r*d**2 + v + b*d and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24590?\nAnswer: 2, 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*z + z**4 + z**2 + 2*z**3 + 37*z - 146*z - 1 in the form m*z**4 + j*z**2 + n*z**3 + c*z + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 348.\nAnswer: 25\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k = -41*k + 2, 2*t = 4*t + k - 4*k + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1, 2, 5417, -4 in increasing order.\nAnswer: -4, -2, 1, 2, 3, 5417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18)\/((-284)\/426)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 - -56. Solve -2 = -r - h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 31 = 15*i - 16*i, 5*i - 4*r = 37. Let n(g) = -22*g + 5. Give n(i).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -95*d + 48*d + 49*d. Let q(n) = -10*n**2 - 2. Calculate q(m(k)).\nAnswer: -40*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10767003 by 2067.\nAnswer: 5209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 573087*c**3 + 9023*c**2 + 11*c + 2 wrt c.\nAnswer: 3438522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 9*b**3 - 24*b**2 + 1849*b - 16. Let m(x) = 6*x**3 - 15*x**2 + 1232*x - 10. What is 5*l(g) - 8*m(g)?\nAnswer: -3*g**3 - 611*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 8 + 4 + -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21992025 a multiple of 1159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -25*h + 4. Let f = -7 - 0. Is x(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 19 - 14 - 17 + 68 - 18.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2279 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-1102)\/34 + 4. Let z = k + 5589\/238. Find the common denominator of z and (-2)\/56*(-5 - -59).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-121)\/605)\/((-6)\/(-5))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58818 is divided by 762?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + q + 529 - 311 = -5*r, -2*r - 108 = -6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 61 = 4*b, -4*b - 3*i + 46 + 9 = 0. Suppose -s = 15*s - 384. What is the greatest common factor of s and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-872)\/(-6) + 2\/3. Suppose 5*g + 3*o - 11 = 0, -4*g - 7*o + 3*o = -4. What are the prime factors of (-4 + 10)\/(g\/b)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26663943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2))**(5\/2)\/((g\/g**10*g)\/g**(5\/3)) assuming g is positive.\nAnswer: g**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 + 10*z**2 + 109*z**2 + 0.\nAnswer: 119*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.7 + 27.5. Let h = -0.05921 + -0.24079. Which is the third biggest value? (a) 3 (b) 0.2 (c) o (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48ab7 (base 13) to base 9\nAnswer: 223311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10327\/20 - -2067\/4. Put 0.04, u, 9, 1\/12 in descending order.\nAnswer: 9, u, 1\/12, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68\/9? (a) 16 (b) -5 (c) -0.2 (d) -4\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.69 and -0.5.\nAnswer: -0.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**2 - 3. What is w(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0*j + 1 - 3*j - j - 3. Let x be l(5). Let y = x + 27. What is the nearest to -1 in y, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -3?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19666?\nAnswer: 2, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1*(2 + (-2*sqrt(180) - sqrt(180) - sqrt(180)))**2 + -5 + sqrt(180)*-1 + 3).\nAnswer: -2882 + 102*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 3*h**2 + 3 + 0 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2118, 13847 in descending order.\nAnswer: 13847, 3, -2118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -625 + 884. Calculate the greatest common divisor of 296 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 16551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 4)*(0 + 3 - 6) + (-2 + 11 + 0)*(1 + 0 - 7))*(27*f - 118 + 118) as k + s*f and give s.\nAnswer: -1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1034*r*s**3*t - 46*r*t**3 - 44*r*t + 2*s**3*t**3 + 34*s**3 - 180263*t wrt r.\nAnswer: 1034*s**3*t - 46*t**3 - 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 55. Let w = 8 + -4. Suppose 28 = w*x + 4*f, f + 14 = 4*x - 2*f. Calculate the greatest common factor of x and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2. Let t be h(-3). Suppose 0*b - b + t = i, 5 = i. Let a = -1828 + 1822. What is the biggest value in 5, a, b, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 - 16*f**2 + 12*f + 2. Let o(v) = -v**3 - v**2 - v. Let w(l) = 3*o(l) - s(l). Let g = 465 + -457. List the prime factors of w(g).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0*c - 5*c**2 + 5\/2*c**3 + 0 + 5\/24*c**4. What is the tens digit of u(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/150) + 0. Let n be (-3 + 2)*(0 - 74). Suppose -5*h + 51 = -n. Calculate the highest common divisor of v and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/12 - 11*u**3\/3 + 5*u**2 + 272*u. Let i = 4 + -13. What are the prime factors of z(i)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1050*o + 1055*o - w = 10, -4*o + 3*w + 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/sqrt(3) + -4 + sqrt(19) + 1.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6173*y = 90551 + 59261 + 109454 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i - 47*i - 60 = 0. Differentiate -9 - 2 + 2 + 21*v**3 - i with respect to v.\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/4107 and -167\/30?\nAnswer: 41070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 45, -4.\nAnswer: -4, 9, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-14 + 14 - 1\/(-4))*244?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 2*o. Let u(q) = -3*q**2 + 5*q. Let i(n) = 5*m(n) + 2*u(n). Let t(h) be the third derivative of -h**4\/8 - 4*h**2. Give i(t(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 3.145. Let q = n + -8.855. Let v = -8.4 - q. Which is the closest to 1? (a) 3 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - 2*i)*(0*i - 5*i + 0*i) + 2*i**2 - 1 + 1.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/54)\/((-16)\/582) + 53\/742*-84\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u. Suppose c + 2*y - y - 1 = 0, 0 = -5*c - y - 11. Let j be (c + (-30)\/(-9))*0. Let n(b) = -4*b**2 + j*b**2 + 6*b**2. Determine n(v(d)).\nAnswer: 98*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171377477.2223 + -38672.7777. Let b = o - -171415963.000169. Let c = -187 - b. Round c to five decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294241.5 millimeters to micrometers.\nAnswer: 294241500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5\/2 + 18*h**3 - 3*h**2 - 81*h\/2 + 27 = 0. What is h?\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1414*p + 19788 = -351*p - 8316 - 28235 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6438)\/(-1221)*55\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314769835, -314769837, -314769839?\nAnswer: -314769841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d - 1526. Let g be a(-196). Suppose -5*v + 73 - 183 = 0. Let k = 36 + v. What is the greatest common factor of g and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-8)*-6 - (-48)\/2?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 + 4*t**2 - 4*t - 4. Suppose 14 = 3*n + 2. Let u(y) = y**2 - y - 1. Calculate n*u(z) - x(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16\/59 + -27\/118. Sort -3, 305, u, 4.\nAnswer: -3, u, 4, 305","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + w + 1. Let t(z) = -5*z**2 + 6*z + 1. Let b(k) = -t(k) + 2*u(k). Let q be b(2). Solve 4*s = q - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3993) - sqrt(33)*-3*-1)\/((5*(sqrt(18)*1 + sqrt(18)))\/(sqrt(294)*-2 - sqrt(6))).\nAnswer: 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383, -733, -1085, -1439, -1795?\nAnswer: -2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*u = 2*d + 20, 5*d + 25 = 3*u. Which is the biggest value? (a) d (b) 94 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -719\/16. Sort d, -1\/3, 3 in descending order.\nAnswer: 3, d, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-9\/4)*n*n)\/(n*(n**(-10\/9)\/n)\/n*n))\/(n\/(n*n**6))**(-3\/7) assuming n is positive.\nAnswer: n**(-179\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3888)\/(-135))\/12*(-10)\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 6. Suppose 3*h + 29 = -u, -3*h - v = -2*u - u. Let a(z) = z**3 + 14*z**2 + 16*z + 13. Is a(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1756.29 times 12?\nAnswer: -21075.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-5*2\/(-4). Solve 2*f - v*x - 6 = f, -2*x = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -8. Let c(g) = g**3 - 6*g**2 - 8*g + 3. Let m be c(7). What is the nearest to -1\/4 in j, m, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -707 + 3316. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(162\/(-1134))*12\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1*(-3)\/(-15)). Determine k, given that -8\/9*k + 0 + 98\/9*k**n + 56\/9*k**4 - 10*k**3 - 56\/9*k**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let y(o) be the first derivative of 21\/2*o**2 - 29 + 0*o**3 + 1\/12*o**4 + 0*o. Let p(u) be the second derivative of y(u). Calculate p(v(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 37?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i**2 - 26*i + 23. Let m(g) = -5*g**2 - 12*g + 11. Let n(p) = 3*l(p) - 7*m(p). Let s be n(-8). Calculate the greatest common factor of s and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002524 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -933.\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692 is divided by 463?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:17 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11116644 a multiple of 454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 18, -1, -4 in decreasing order.\nAnswer: 41, 18, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((160\/(-30))\/(-4))\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - -7)*1\/2. Let w(m) = 2*m**2 - m - 1. Let n be w(2). Suppose n*l + 3*q - 24 = -8, -3*l = 4*q - 14. Solve t = -2*z - 6 + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 11*s**2 - 2*s - 12. Let l be v(12). Suppose l = t + 5*t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 1\/2, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 q when four letters picked without replacement from qqqwqqwqqqq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73*n - 15*n + 12*n)*(1 - 4 + 2)*(4 - 5 + 0) to a + z*n and give z.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52\/10*100\/(-8)*(-15)\/(-75).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 5*g + 2. Let x be u(-5). Suppose 0*t = x*t - 38. Suppose -3*c = -2 - t. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (-490)\/(-8) - 3\/12 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 475021.3 millimeters in kilometers?\nAnswer: 0.4750213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000033 to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17) + -1 + 0.\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5 + 87*n**4 + 378*n**3 + 420*n**2 - 312*n - 576.\nAnswer: 3*(n - 1)*(n + 2)**3*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 38*n - 35. Let c be o(1). Let j be 8 + -1 + 6 + c. Solve 2*b - 2*p + 8 = 0, -b + 3*p = -2*p + j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 + 12 = 2*b, -2*y + b - 5 = 0. Let o = y - 1. Let u(t) be the second derivative of -7*t**4\/12 + t**3\/3 + t**2\/2 + 2*t. Calculate u(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182008 = 2*v - 28*h + 181984, -9 = 4*v + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 31ecaef?\nAnswer: 31ecaf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.8587519 rounded to one decimal place?\nAnswer: 41.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 2*k + 119 = -11, 0 = 4*v - 4*k - 84. What is the greatest common factor of v and 7568?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14148 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, 2.\nAnswer: -19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 290078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 1399\/1533?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/3)\/((-2)\/(-18)). Let y = l + 30. What is the remainder when y is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -6552, 4\/7, -4\/5, 0 in decreasing order.\nAnswer: 4\/7, 0, -1\/3, -4\/5, -6552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (96 + 6)*(20\/(-8) + 4). Suppose -3*l = 6*l - c. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 5*o + 48 = 0, 823*d + o = 822*d + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74212200 divided by -40.\nAnswer: -1855305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112 - -163. Let u = -6\/1123 - 79673\/11230. Find the common denominator of u and 4\/58*(54 - c).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n + 0*n)*(4*n - 6*n + n) + (-3*n + 4*n - 2*n)*(4*n + 7*n - 3*n) + 4*n**2 - n**2 - 4*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**2. Let y(o) be the first derivative of -o**5\/60 - o**3\/3 + 5. Let z(x) be the third derivative of y(x). Give i(z(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1 + 1913*o + 764*o + 1770*o. Let u be s(-2). Let j = u - -16393. Round j to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190204 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63198228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**2 - 40*d + 77. Let a be t(-15). Factor 0*k**a - 3*k**3 - 3\/2*k**4 + 3*k + 3\/2.\nAnswer: -3*(k - 1)*(k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a year?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 98. Let t = 12 - c. Put t, 2, 5 in descending order.\nAnswer: 5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 16428\/2095?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 24*m**3 - 5*m**2 - 3 + 23*m + 2 + 3. Let h be b(-18). What is h rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = -4*j + 120, 4*j - 4*y - 120 = 0. Let q(t) = 119 - 115 + 17*t - 49. Let k be q(3). What is the greatest common divisor of j and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*(-5)\/(5\/68). Let a = q + 561. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 988 - 412 = 6*w. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 5*n - 5. Let v(h) = 3*h**2 - 18*h + 18. Let m(w) = -5*v(w) - 18*x(w). Let i(b) = 4*b**2. Give i(m(p)).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 8*z**2 + 8*z - 6. Let k be x(-5). Suppose -2*d - 2 = 0, -d - k = -5*n + 212. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 4 + 5*j - 3*j - 3*j. Let b(v) = v**3 + 6*v**2 - 30*v - 116. Let o = 804 + -812. Let x be b(o). Give z(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -6429, 1, -5, -3, 0 in decreasing order.\nAnswer: 5, 1, 0, -1, -3, -5, -6429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-1710)*-19)\/((-30)\/8).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -6*n**2 - 95*n + 18. Calculate the remainder when q(-10) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -37*y - 156, 2042*h = 2039*h - 3*y + 2 - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 8:44 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*5\/315*12\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5*r\/(r\/((r\/r**0)\/r))*r**6\/(r*r**(2\/7)\/r) assuming r is positive.\nAnswer: r**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 77*k + 379. Let q be a(-5). Sort 3, q, 5, -3 in increasing order.\nAnswer: q, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175 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 u(h) be the first derivative of -h**6\/16 + 39*h**4\/32 + 3*h**3\/2 - 363. Determine g so that u(g) = 0.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y. Let d(m) = -15*m**2 - 2*m + 142446. Calculate o(d(u)).\nAnswer: -75*u**2 - 10*u + 712230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 114 + 49*n + 16*n.\nAnswer: 65*n + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -196 divided by 49?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 33.69, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 - 30*c - 66. Let g(k) = -k**2 - 8*k - 16. Suppose 8*o - 21 = -93. Let f(u) = o*g(u) + 2*m(u). Factor f(t).\nAnswer: 3*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) 0 (c) 3\/4 (d) -3 (e) -1.7 (f) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feeeffqefffefeefffe. What is prob of picking 3 e?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-13)*z*z*z**15*z*z*z*(z\/z**5)\/z**(-1\/12))**1 assuming z is positive.\nAnswer: z**(361\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1961 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-2) + 0 - 5. Does 9 divide h\/(-9)*5\/(15\/198)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(-17 + 2 - 37)*(-y**4 + 4*y**4 - 5*y**4).\nAnswer: -520*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) 1\/9 (c) 4\/7 (d) -2 (e) 0.57 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-6))\/((-21)\/(-34) - (-16)\/(-136)). Solve -3*d - 14 = 2*a - 0, a - x*d - 11 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511855 rounded to the nearest one thousand?\nAnswer: -512000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r + 16 = -20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - 559 + 595 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0 (b) -0.03 (c) -0.064 (d) -8 (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 31*y**2 - 2*y**3 + 2 + 13*y**2 + 15*y**2 as p*y + s + o*y**2 + w*y**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a**3 + 3*a**2 - 2*a - 12. What are the prime factors of r(-3)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = 3*b, -5*b - 3*m + 43 = 40. Let r(f) be the first derivative of -25 + 0*f**2 + 2\/3*f**3 + b*f. Let p(y) = -15*y**2. Determine r(p(x)).\nAnswer: 450*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**2 - 100*s - 51 - 8\/3*s**3. What is the first derivative of f(a) wrt a?\nAnswer: -16*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119591 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/3 - 308*r**3\/15 + 2488*r**2\/15 - 116*r - 30 = 0. What is r?\nAnswer: -1\/5, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvocvtvvcctvctn. What is prob of picking 1 o, 1 c, 1 t, and 1 n?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-12) + (-6)\/(-8). Let g = 1277 + -1276. What is the smallest value in 10, g, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 5*w + 1404. Let p = 120 - w. Calculate the remainder when p is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 5:04 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 2693065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 396 = 63*f + 76. Let a = -21 + 57. Calculate the highest common factor of a and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*(-3 + sqrt(252) + 1 + sqrt(252) + 1)*3*5 + -4)**2.\nAnswer: -140400*sqrt(7) + 5676084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 635758292 a multiple of 1612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by 134.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025022681 rounded to 7 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (747\/2241)\/(1 - 1\/12)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7283 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001447719 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 7 (c) 81.11 (d) 5 (e) -2\/7 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -37, 1\/6, -2\/13, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43020 and -2858?\nAnswer: 40162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*o - 98*o + 672 = 0 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -0.0348, 1856.\nAnswer: -24, -0.0348, 1856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -502435 (base 6) in base 7?\nAnswer: -223046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 132, 158, 216, 318, 476?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 1. Let d(l) = 3*l**u - l - 2*l**3 + 2 + 0*l**2 - 4 + l**3. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 14*j + 15. Let m be c(-6). Suppose -m*g = x - 2029, -10 = -3*x + 8*x. What are the prime factors of g?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((sqrt(77) - -1*sqrt(77))*4)\/(sqrt(63)*1))**2 + (sqrt(539)*1*-5 + -6*(-1 + sqrt(539)))**2).\nAnswer: -587999\/3 + 2772*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.12 - 0.08. Let g = -0.3 + s. Which is the smallest value? (a) 3 (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/5, -0.09, -32, 3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**3 + 4*q**2 + q + 2. Let l(t) = 4*t**3 - 5*t**2 - 2*t - 2. Let f(v) = 2*v**2 + v + 5. Let h be f(0). Let p(r) = h*x(r) + 4*l(r). Factor p(a).\nAnswer: (a - 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526 + 898 = -178*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 + 5*o + 2. Let n be f(-3). Suppose 3*u - 5*q + 12 = u, -24 = -n*u - q. Suppose u = i - 0*i. What is the smallest value in -1, i, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nptaakv. Give prob of sequence kvap.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1537 = 216*q - 425*q + 262*q for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 41 - 281. What is the lowest common multiple of x and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 6:55 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*u - 3*u - 268, -3*u = 0. Let n = -39 + v. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/4*5\/135.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 5*x**2 - 3*x - 9. Let w be m(-6). Let k = w - -47. What is the lowest common multiple of k and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 6*u**2 + 4*u + 2. Let v = 1 - -19. Calculate the least common multiple of d(-4) and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7182*c**4 + 12*c**3 - 4121*c**2 - 32 wrt c.\nAnswer: 172368*c + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8333 and 0.002.\nAnswer: 16.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 1513, 5327, 12811, 25189, 43685?\nAnswer: 69523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 2\/15, 499?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34172198.\nAnswer: 2, 17086099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11772489 by 10.\nAnswer: 11772489\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9366 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 52*q = 77*q - 313, 0 = -4*o - 3*q + 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*(-7 - -4). Solve 0 = c*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380387894 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 25+1366.82\nAnswer: 1391.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*f - 166*f = 6. Suppose -25 = -5*i, -3*v - f*i = -7*v - 15. Solve -73*b + 77*b - 20 = v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**20*z\/(z*z**15)*z*z*z)\/(z*z\/(z\/(z*z**(2\/9))*z))**25)**(-33) assuming z is positive.\nAnswer: z**(2134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -202010?\nAnswer: 202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-11)*(-16)\/(-120)*-5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10*u**(-13)*u assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6633945971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 6*z - 1. Let o(l) = 3*l. Let x(u) = 4*c(u) + 7*o(u). Is x(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and 97559.\nAnswer: 97559.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-165)\/(-36) + 9\/12. Let h be (1\/3)\/((-1)\/(-7)). Factor -4\/3 - m*s - h*s**2.\nAnswer: -(s + 2)*(7*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -373*f + 38778. Determine q(106).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*v**3\/7 - 2346*v**2\/7 + 23280*v\/7 - 20942\/7 = 0. What is v?\nAnswer: 1, 37\/4, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 12:03 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 - -90. Let x = k - 21.1. Is x at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1528 + -2107. Is -586 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - b**2 - 2. Let m(y) = 15*y**3 + 9*y**2 - 1036. Calculate m(h) + 9*u(h).\nAnswer: -3*h**3 - 1054","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(-3*x + 3*x - 2*x**3) - 3*x - 692*x**3 - 309*x**3 + 683*x**3.\nAnswer: -316*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + (-12)\/(-7). Let p(c) = 3*c + 7 + 0*c + 2 - r*c. Give p(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - -3. What is the least common multiple of (-10)\/f - 24\/(-10) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 + 8*a**2 + 7*a - 6*a**3 - 2 + a - 11*a**3. Let z(q) = 5*q**3 - 3*q**2 - 3*q + 1. Determine 3*x(r) + 8*z(r).\nAnswer: -2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ips when three letters picked without replacement from vpspjpi?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/235560 and -68\/3.\nAnswer: 235560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123004\/230 + (-2)\/(-10)?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 349 = 5*s - 4*a, -2*s - 4*a + 44 = -90. Let j = 74 - s. Suppose j*q + 115 = 155. Calculate the remainder when 28 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -11*z. Let o be j(-1). Let r = 28 - -110. Suppose 5*d - r = -3*n + 363, -4*n + 107 = d. Calculate the greatest common divisor of o and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2) + (4 - -1). Let w(p) be the third derivative of -2*p**2 + 0 + 0*p - 1\/4*p**4 + 1\/120*p**6 + 1\/3*p**3 - 1\/30*p**5. Calculate w(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**10)**(4\/21))**33 assuming u is positive.\nAnswer: u**(440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -187, -191, -197, -205, -215, -227?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -33. Let m = 1801 + -1740. Calculate the common denominator of -34\/11 and m\/20 - n\/(-60).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from zzmggmzkokgokzkoozm?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -11 + -5 + (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-48)\/(-27) + 2\/9. Let m be (21*2 - x) + 2. Let c be (-3)\/12 + m\/8. Sort 0, -0.3, c.\nAnswer: -0.3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -4. Let w = 3 - h. Sort w, -2, 1.\nAnswer: w, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 26*k**2 - k + 13. List the prime factors of l(6).\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-18)\/r*r)\/r)**(-13) assuming r is positive.\nAnswer: r**247","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y + 5 = -59 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 122\/((3 + 3)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 3*w = 2009 - 2108, -2*l + 132 = 4*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 2. Let z be d(0). Let j be 319\/(-132) + z\/(-6). Is j greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sksksssskss. Give prob of picking 3 s.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 12. Let z be -1 + v + (4 - 5). Let l be (2\/2)\/(3\/z). Which is the biggest value? (a) 7 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*-11*(-2)\/44. Sort 35, -6, f, -1 in decreasing order.\nAnswer: 35, f, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 16803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 + 3*r**2 - 4*r + 0*r**2 - 4*r**2 + 1. Let h be f(-2). Suppose -y - h*y = -60. Solve 0 = -5*u + u + y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:53 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = -3*q. Let l be (q - (-3 + 0)) + -4 + 6. Find the third derivative of 13*u**2 - 18*u**4 - 19*u**l + 32*u**4 wrt u.\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 18*z**2 + 16*z + 1. Let g(h) = 7*h**2 + 87*h + 19. Let m be g(-12). Determine p(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43.8 * 0.4.\nAnswer: -17.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from {a: 1, i: 4, f: 4, c: 1, m: 5, d: 3}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = 42 + 93 + 171 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11\/4? (a) -3\/8 (b) 0.4 (c) -7915 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.43058041 - 0.2.\nAnswer: -11.63058041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20274945969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -254?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -330656.40039 + 330655. Round w to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198 - 419*g - 199 - 24*g - 285*g)*(-g**2 + 0 + 0).\nAnswer: 728*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 8*i**7\/105 - 3*i**4\/8 + i**2. What is the second derivative of q(b) wrt b?\nAnswer: 192*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3746 (base 8) to base 9\nAnswer: -2686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -1, 5, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 123, 87, 7, -135, -357, -677?\n\"Answer: -3*g**3 - 4*g**2 - 3*g + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -u - 2*u. Let p(g) = -g**2 + 8*g - 7. Give p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 13*f**2 + 4. Let y be g(-13). Suppose 0 = -4*v - 3*i + 20, y*i = -v - v + 20. Calculate the remainder when v is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/117 less than or equal to -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghhb when four letters picked without replacement from {h: 4, b: 2, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/(-6) - 1\/((-21)\/6) and 76\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -926 - -929. Factor -4\/19*d**2 + 2\/19*d**4 + 0*d**h + 2\/19 + 0*d.\nAnswer: 2*(d - 1)**2*(d + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4723 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230172 (base 8) in base 7?\nAnswer: -5055533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 4, b: 1, a: 1, r: 1}. What is prob of picking 1 b and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108\/35 greater than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-13 - -1) - -6 - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 0 + sqrt(1573))**2 + sqrt(1573) - sqrt(13) - sqrt(91)\/(sqrt(7)*1).\nAnswer: 9*sqrt(13) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:20 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 16. Suppose 14*i - 17*i = 24. What is q(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343934676.\nAnswer: 2, 3, 109, 87649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 12*a**2 - 27. Let w be j(-11). Let l = w + -93. Put 2, -0.1, 0.1, l in descending order.\nAnswer: 2, l, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiiiiiiio.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 396.1563 centimeters?\nAnswer: 3961.563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-153)\/(-30))\/((-1092)\/(-130)). Let w = -41\/252 + h. Solve -2\/3*k**2 + w*k + 2\/9 = 0 for k.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6499 plus 13413?\nAnswer: 6914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 30*a**2 + 669*a + 270. Let q be f(45). Let v = 1 + 1. Solve -v*d + 2*k + 8 = q, 3*d + 3*k - 12 = -0*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 427 + -399 + 2 + 0 + -15 + 2 + -98.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30102013 (base 4) to base 7.\nAnswer: -266452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/2 (b) -71\/37 (c) -17 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -13\/2 and 323 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26725\/5474 + 3\/238. Let f = 853\/161 + c. Solve 3\/7*i**3 - 3\/7*i - f + 3\/7*i**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Let t(g) = g**3 - g**2. Let b be t(n). Suppose -3*o = -b*o + 46. What is the remainder when o is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/1*(-4)\/(-6). Let f = k + 15. Suppose 4*h = 3*h + 4. Sort -2, f, h in ascending order.\nAnswer: -2, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -537540 rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1813016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**4\/8 - i**2. Let c(d) be the second derivative of d**4\/12 - 5*d. Give c(y(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1 - 2) + -5 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 48*p + 68. Let q be l(-25). Let o(j) = 3*j**2 - 22*j + 27. What is the units digit of o(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d + 649. Let p be w(-70). Solve -5*j - i = p, j + 10*i - 5*i + 23 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 150, 164, 200, 264, 362, 500?\n\"Answer: k**3 + 5*k**2 - 8*k + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-34)\/10 - -5)*30\/(-12) - -7. Put x, -175, 5 in decreasing order.\nAnswer: 5, x, -175","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 1. Let y(p) = -5*p - 3. Let i(m) = -m**3 + m**2 - m + 1. Let b be i(0). Let o(d) = b*y(d) - 4*h(d). What is o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2744080?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**3 - 6*g**2 - g - 3. Let r(d) be the first derivative of 7*d**4\/4 + 2*d**3 + d**2 + 2*d + 212. Let f(z) = -2*r(z) - 3*s(z). Calculate f(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v**2 + 394*v - 2716. Determine w(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3, 6, -0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 1)*(0 - 3 + 1) - 3 + 1 + 1 - 3 - 1 + 6 - 17 - 10 + 8)*(2*t - 10 + 10) to n + h*t and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4 + 2544*p**3 - 20784*p**2 - 204288*p + 986112 = 0. Calculate p.\nAnswer: -856, -8, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 = -3*g. Suppose 0*y = g*y + 12. Suppose -1 = -4*f + 19. Sort y, f, 3.\nAnswer: y, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-17)*y\/(y\/y**(-1\/27)))**(16\/5) assuming y is positive.\nAnswer: y**(-1472\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*l = -12, 2*l + 3 = -4*u + 43. Suppose 5*q - 97*h - 70 = -102*h, -2*h = -5*q + 7. What is the greatest common factor of u and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 372462904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 9*f + 6. Let k be 8\/20 - ((-114)\/(-10) + 0). Let p be d(k). Let q = p + -31. Sort q, 4, 0 in ascending order.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757543.1 tonnes in nanograms?\nAnswer: 757543100000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 427811\/24 + -17829. Calculate the common denominator of -79\/14 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000111 (base 2) to base 7.\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 151*v + 152*v - 20, -8*z + 24 = v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - k**2 - k + 1. Let s be l(-1). Let w be (s\/(-8))\/(((-90)\/(-48))\/5). Let h be 5\/4 + (-25)\/20 - -10. Is w equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.075772 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Let f = -42 + 27. Let x be (-1 + 4)\/(f\/2). Are g and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*l - 46 = 0, 283 = 3*b - 4*l + 249. Let k = -13 - -9. What is the closest to 2 in -0.5, k, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -192. Suppose l - 154 = -m. Which is greater: m or -1\/70?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -89330.\nAnswer: 89330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 + 5*a**3\/3 - 9*a**2\/2 - a. Let m be j(-11). What is the greatest common factor of m and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 174, -708947?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 + -77. Calculate the common denominator of 5\/14 and 1337\/2680 + (-18)\/a.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 175*z = 174*z - 4, -4*s + 8*s - 38 = -3*z for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -34. Suppose 0 = -3*z - 0*z + g. What is the least common multiple of z and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/3 (c) -0.5964 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 - 1 - 18705*m + 14886*m.\nAnswer: -3819*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -13\/4, 3, -0.03, 182, 2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 8*n**2 - n + 10. Let b be i(8). Suppose -g - 3*g + r = 7, 0 = -5*g - b*r + 1. Let a(w) = -7*w**3 + 2*w**2 + w. Calculate a(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 24\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**3 - 9*t**2 - 3*t + 6. Let m be h(8). Suppose -5*b = -m + 567. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d + 2 = 5*f, -3*d - 6 = 0. Suppose -5*p - 540 = -4*i, f = 2*p - 2 - 6. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3133543 - -56?\nAnswer: -3133454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 27779*g**2\/2 + 277715*g\/2 + 694225\/2.\nAnswer: (g + 5)**2*(g + 27769)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 6*a + 5. Let w be (-2)\/5 - 17\/(-5). Suppose -20 = -2*o - 2*b, w*b = -5*o + 8 + 32. What is the remainder when 28 is divided by l(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 5, -44817, 4 in ascending order.\nAnswer: -44817, -3, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 1475*z**9\/168 + 2649*z**5\/20 + 7804*z**2. Find the third derivative of m(p) wrt p.\nAnswer: 531000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t + 9. Let f(v) be the first derivative of -v**4\/4 - 4*v**3\/3 - 3*v**2\/2 + 4*v - 32. Let m be f(t). Solve -2*l + m = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = d - 4. Let p be (-4260)\/7*d*(-35)\/(-1). Round p to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(2\/39))**(-11) assuming m is positive.\nAnswer: m**(22\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.2 - 26.3. Let o = p + 10.67. Round o to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 11, 5\/108, 2\/7 in descending order.\nAnswer: 11, 3\/4, 2\/7, 5\/108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 9. Solve 3*h - 5 = -i*z + 7*h, z - 4*h = 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/65 - 173\/3510. Put 0.4, -5, b, 4 in descending order.\nAnswer: 4, 0.4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 + 116*c**3 - 380*c**2 - 6900*c + 27000 = 0.\nAnswer: -30, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**3 - 3*w**2 + 6. Let l(q) = 10*q**3 + 10*q**2 - 19. Let s = 14526 + -14533. Calculate s*p(z) - 2*l(z).\nAnswer: z**3 + z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 3, g: 5, t: 1, b: 6, o: 3}. Give prob of sequence ogt.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*s - 48 = -2*m, -2*m + 4*s = -60. Let h(a) = 2*a - 47. Let q be h(m). Solve -j + 2 = 2*n, -3*j - q*n = -2*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3743123*s**3 + 1871581*s**3 + 1871554*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 + 14*j - 5. Calculate s(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -10 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(152)*-1 - sqrt(152) - (sqrt(152) - (sqrt(152) + -1*sqrt(152))*-4 - sqrt(152)))\/((sqrt(968) + sqrt(968)*-2)*-3).\nAnswer: 2*sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 1, -4*h = -m + 5*m - 84. What is the least common multiple of 22 and h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.0503\nAnswer: -0.01006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 151209913 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1492997 by -7.\nAnswer: -1492997\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 5. Suppose 0 = -0*b + b. Let g be k(b). Suppose q + g = -3*l, -2*l + q + 2*q = -4. Is l greater than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2197.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 910\/56*(-352)\/(-10)*(133\/28)\/19.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*b**3 + 1)*(-1 + 0 + 2) + 76025*b**2 - 76025*b**2 + 72*b**3 to l*b**2 + x*b + j + r*b**3 and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -478*o**4 + 79*o**3 + 20*o**2 + 11456*o wrt o?\nAnswer: -11472*o + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -9 - (-7 - -18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13281924 is divided by 2628?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 3*s + s + 0*s - 3*s + 2*s + 1 - 1 + 4*s - 3*s + 0*s + (-3 - s + 3)*(5 - 3 - 4) - 3 + 3*s + 3 - 4*s + 5*s - 2*s + 0*s - 3*s - s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4704)\/(-2058))\/(20\/(-14))*(-25)\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 11:45 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -4. Suppose 4*q - 14 = -2*t, 3*q - 8 = 2*q - 5*t. Let f(i) = i**3 + q*i**2 - 5*i**2 - i - 4*i**2 + 2. Determine f(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1656*h - 33271 = -137599 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/3)*z**13)**42 assuming z is positive.\nAnswer: z**560","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f - 20. Let y(c) = -c**2 + 5*c. Let x be y(4). Suppose 5*d + 2 = l + 77, -x*l = 5*d - 75. Calculate the remainder when d is divided by p(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - -117. Let m be (j\/12)\/((-2)\/36). Let f(w) = -14*w + 19. Calculate the remainder when f(m) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004729597 to six decimal places.\nAnswer: 0.000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 129137044 to the power of 1\/3, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 + 1\/3*n - 1\/3*n**2.\nAnswer: -(n - 2)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, 2282, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**7\/315 + 211*l**6\/30 - 11025*l**2. Find b, given that z(b) = 0.\nAnswer: -1266, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 10:53 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*q - 3, 421648 = 5*m - q + 421635 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbb when four letters picked without replacement from {u: 5, i: 2, b: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12*g - 42*g + 0 + 27*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:36 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453 is divided by 165?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014693 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 50 (b) -1 (c) 0.151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/2 - 536*h - 3207\/2.\nAnswer: -(h + 3)*(h + 1069)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*d - 45*d**2 + 110*d - 52*d**2 - 48*d**2 + 134*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2658 and 18519615?\nAnswer: 37039230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 422*r**3 - 433*r**3 + r**2.\nAnswer: -11*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 6*t**2 - 8*t + 5. What is the remainder when v(4) is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-441)\/(-1029)*3\/9*2\/2\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2221363.\nAnswer: 23, 96581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/3 - 726*g**3 - 2156*g**2\/3 + 7248*g - 17408\/3 = 0.\nAnswer: -1088, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -16. Suppose 0 = 4*b - 5*w + 2231 + 6025, b + s*w = -2089. Let r = -1270 - b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62683 = -10*f + 61743. Which is the closest to 1? (a) 11 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 4. Suppose -31 = -a + 5*o, 2*o - 25 = -3*a - 0*o. What is the third derivative of k*q**2 + 2*q**4 + a*q**2 + q**4 wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1694 is divided by 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.77368883 to four decimal places.\nAnswer: 0.7737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 302 (base 7) to base 15\nAnswer: 9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -39*i + 337. Let r be x(8). Let j(n) = 3*n**2 - 33*n - 18. Let h be j(r). What is h rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010101101110010 (base 2) in base 8?\nAnswer: 1525562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 70, 6, 1, -58, 3 in increasing order.\nAnswer: -58, -3, 1, 3, 6, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -494 + 948. Let m = q - 486.1. Let s = m - -32.0837. Round s to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - (-64)\/14) + (-72)\/(-21). Suppose -2*q = -z - 3, 5*z - q - 12 = -0*z. Factor u**z + 4*u + 3*u**i - 4*u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.554 - -1.5165?\nAnswer: 8.0705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188\/67 or 4?\nAnswer: 188\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 733591, 1468235, 2202879, 2937523, 3672167, 4406811?\n\"Answer: 734644*h - 1053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 21. Let v be r(-16). Let t(o) = o**2 + 6*o - 2. Give t(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, a: 2, v: 7}. What is prob of picking 1 r and 1 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q + 46. Let a be l(-14). Let c = a - 62. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 3, s: 3}. What is prob of sequence scsc?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjadn. Give prob of sequence aqn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2665 = 13*s. What are the prime factors of s?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-787)\/(-60) - ((-239948)\/(-3345))\/(-538).\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 15. Let o be (-6)\/2*-5 - (42 - 41). Calculate the highest common divisor of k and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.55 + 243.05. Let a = d + -283. Round a to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903961671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 125511 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 15*a**2 + 8*a - 10. Let v be y(7). What is the third smallest value in 3, v, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(11\/4)*j**(-1\/5)\/(j**(-2\/15)*j) assuming j is positive.\nAnswer: j**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2664586 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -751d?\nAnswer: -7521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 - l**2 - l + 1. Let r be w(-1). Solve -1 + r = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*-3 - (sqrt(343) + sqrt(343) + 0 + sqrt(7))) + -4 + sqrt(847) + -1.\nAnswer: -16*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n + 24*n - 30*n + 3 - 27*n.\nAnswer: -53*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 211131002 (base 4) to base 14\nAnswer: 3dc9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/18 + 4\/(-18). Let g be 2*(r + 4) + 3. Solve 5*b - 1 + g = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtvjvojtojt. What is prob of picking 1 j and 1 v?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-0.288.\nAnswer: 0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-7)\/42*-42) + 10 + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8880*-517.\nAnswer: 4590960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let b be 58\/18 + (-5)\/(180\/8). Suppose -u + b*u - 290 = y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 - 8*x - 8. Let a(h) = 8*h**2 - 13*h - 15. Let q(v) = -2*a(v) + 5*n(v). What are the prime factors of q(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -127*y - 314*y + 5733 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1149951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 3\/761, -9\/23, 72?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q - 3*y - 59, 45 = -3*q - 2*y. Let l = q - -31. Calculate the remainder when 39 is divided by (-7 + l)*(1 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 8*n + 6. Let k be s(8). Suppose -k = 5*t - 106. Calculate the lowest common multiple of t and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*v**2 + c**2 - 12*c*v**2 + 102*v**2 wrt c?\nAnswer: 4*c*v**2 + 2*c - 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*p + 86433 - 59415 for p.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1123\/6 - -180847\/966. What is the common denominator of v and 37\/8?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 2*y - 4. Let q be o(-4). Solve 0 = -d + q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5399230 (base 12) to base 5.\nAnswer: 13031111131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 252*x**3 + 2316*x**2 - 7200*x + 7104.\nAnswer: 3*(x - 74)*(x - 4)**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 8\/(-4))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/(z*(z\/(z*(z\/z**16)\/z)*z*z)\/z))\/z)\/z)*z**14)**(1\/33) assuming z is positive.\nAnswer: z**(34\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pliplillpplliplpi. Give prob of sequence lp.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - 5*j + 7. Let i(q) = -q**3 + 6*q - 8. Let l(p) = 4*i(p) + 5*k(p). What is the units digit of l(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:32 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 1034*s**5\/5 - 10914*s**4 - 21594*s**3\/5 + 490706*s**2\/5 + 110592*s\/5 + 3816\/5 = 0.\nAnswer: -3, -2\/11, -2\/47, 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 24*m**2 - 67*m - 378. What is v(-26)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 100, 234, 422, 664, 960?\nAnswer: 1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -28. Let b(t) = -t**2 - 13*t - 40. Let m be b(-6). Suppose -2*x + 31 = m*y + y, 51 = 2*x - y. What is the remainder when x is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2641 is divided by 1239?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 395 and 14536?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10760 and 60525?\nAnswer: 484200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 17 = -23 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*a = 10491, 2*h - 3*h + 2624 = a. Suppose -4*z = -m - h, 0 = -5*z - 2*m + m + 3284. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)*(2736\/45 - 61)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from {y: 1, k: 1, n: 16}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 70*c**4 - 11*c**2 - 35*c - 4. Let b(m) = -34*m**4 + 6*m**2 + 17*m + 2. Let x(p) = -11*b(p) - 6*j(p). What is the second derivative of x(w) wrt w?\nAnswer: -552*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2. Let d(c) be the second derivative of c**6\/72 + 4*c**3 + 18*c. Let m(x) be the second derivative of d(x). Give m(o(z)).\nAnswer: 125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 + 8 - 28*-5. Calculate the greatest common factor of 52 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701370071?\nAnswer: 17, 31, 1330873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1650.5144 and 59021?\nAnswer: 60671.5144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5395799377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 8)*(2 - 2*p - 2) + p + 4 - 4 + (1 - 3 + 3)*(2*p + 2*p - 5*p) + 0*p - 2*p + p + 0*p - 2*p + p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 x when four letters picked without replacement from {n: 2, r: 2, k: 3, x: 8}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(72) - (sqrt(72)*-4)**2))*-6 + 3 + 5.\nAnswer: -36*sqrt(2) + 6908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**3 - 6*l**2 - 7*l + 8. Let x(i) = i**2 + i - 1. Determine -q(k) - 6*x(k).\nAnswer: -2*k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 1 + 2 + 19*k**2 - 6*k + 2*k. Let w(i) = 20*i**2 - 4*i + 1. Let r(y) = 6*j(y) - 5*w(y). What are the prime factors of r(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 35. Let a(j) = j**3 - 7*j**2 - 8*j - 4. Calculate a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 8*w = 7. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g**3 - 3*g**2 - 14*g - 81. Calculate l(-5).\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 less than -4.9?\nAnswer: -138.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 192\/(-36) - ((-5)\/4 + 38\/(-8)). Let k(n) be the second derivative of -1\/6*n**4 + n**2 + 0 + u*n**3 - 20*n. Give k(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1208246 is divided by 86302.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1327 is divided by 122?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 smaller than -87141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/6 + 2*w + 3. Let k(g) be the first derivative of a(g). Let h(u) = -u. Calculate h(k(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duadniduuda. What is prob of sequence ud?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 883*l - 3. Let k(z) = -z**2 + 12*z - 2. Calculate g(a) - 2*k(a).\nAnswer: -a**2 - 907*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26302 - 26304. Let t(d) = 5*d**3 + 3*d**2 + 6*d - 3. Give t(s).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**5 - 11*h**4 - h + 8*h**4 + 3*h**4 wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 >= 5797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 23*g**2 - 12*g + 18. Determine z(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 + 9*s**2 + 9*s - 9. Let t(j) = -j**3 + 2*j**2 + 2*j - 2. Let c be (8\/(-20))\/((-4)\/40). Let u be (c + -2 - -4)*-3. Determine u*t(o) + 4*g(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {l: 2, o: 1, z: 2, n: 2, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 19. Let a be o(-9). Suppose 4*n + 5*h - 28 = 0, -n = -h - 2*h + a. Solve -3*t + 3*u = -2 - 1, 0 = 2*t - u + n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1478021 is divided by 566?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 124*v + 3 + 37*v - 125*v + 59*v - 15.\nAnswer: 95*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-23))\/((8\/12)\/((-56)\/84)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4605 - -42767. List the prime factors of a.\nAnswer: 2, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.25 - 0.15. What is the closest to -1 in -1, z, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 10. Is 16 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-6)*12\/(-8). Let c(g) = 5*g**2 - 2*g - 3. Let f(d) = -223 + 218 - 2*d - d + 9*d**2. Give y*f(p) - 7*c(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**6\/720 + i**5\/30 + i**4\/12 + 2*i. Let g(a) be the third derivative of n(a). List the prime factors of g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66 - -466\/7. Let a(c) = 2*c**2 - 57*c - 27. Let n be a(29). Factor 6\/7 - 2\/7*o**n + u*o.\nAnswer: -2*(o - 3)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45 - -129. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldd when three letters picked without replacement from slsdssllldll.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 9*f**2 - 9*f - 3. What are the prime factors of h(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -554*0.3194\nAnswer: -176.9476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85307?\nAnswer: 23, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11450.555 + 11466. Round l to one dp.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 2*r + 1. Let j be t(1). List the prime factors of (-2 - j) + 2 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1340, -2, -12, -5, 4, -1 in descending order.\nAnswer: 4, -1, -2, -5, -12, -1340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-21))\/((-1)\/(-7)). Let k be 5 + -6 - m\/(-6). Which is the closest to -0.1? (a) 4 (b) 0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.4. Let c(h) = -25*h**3 + 3*h + 2. Let d be c(-1). Let u be 2 - 2 - d\/6. What is the biggest value in -3, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52791 is divided by 525?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-3)\/18*-33. Suppose -8*n = 14*n - c. What is the greatest common factor of 37 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -45, -124, -247, -420?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**3 - 10630*c + 10630*c.\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -115, -172, -229?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 18*w**2 - 15*w - 58. Calculate j(17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -10*k**4\/7 - 8798*k**3\/7 - 367668*k**2 - 35488152*k + 79866864 = 0.\nAnswer: -294, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, o: 4, w: 4, r: 3}. What is prob of picking 1 o and 1 r?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 54*v - 6269. Give a(116).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.26 + -0.78. Let z = s - 2.48. Which is the nearest to -2\/11? (a) 4 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -22976.\nAnswer: -22975.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9985, 9936, 9887?\n\"Answer: -49*o + 10034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 192*b + 8624. Give l(70).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/((-15)\/480*8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*(-2*(sqrt(171) - sqrt(171)*-2))\/(2*sqrt(900) - sqrt(900) - sqrt(900) - sqrt(9)))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36 = -5*p + 119, -3*p + 2*g + 49 = 0. Solve -4*l + 11 = p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n**2 + 2*n**2 + 7*n**2)*(42 + 48 + 64)*(-5*n + n + 3*n)*(-3 - 4 + 5) in the form a + p*n**2 + w*n**3 + g*n and give w.\nAnswer: 1232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(s**2 - s**2 - 3*s**2) + 4 + s**2 - 4 + 10 - 10 + 4*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 4. Let h(s) = s**2 + 10*s + 7. Let a(b) = b. Let v(g) = 2*a(g) - h(g). Let c be v(-6). Calculate l(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 44*f**3 - f - 4. Let i be k(4). Suppose -1897 = m + i. Let g = -51795\/11 - m. What is the common denominator of -14 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23752092531 + -20\nAnswer: -23752092551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -18. Let w(z) = -z**3 - 4*z**2 - 5*z - 1. Calculate the smallest common multiple of l and w(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 3*j**2 + 3*j + 4. Let w be z(2). Let m(f) = -f**3 + 4*f**2 + 12*f - 3. Determine m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 1 (c) -7 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1368920 (base 11) to base 4\nAnswer: 20332302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -131\/2 + 233\/3. Let i(a) = a**3 - 10*a**2 - a + 2. Let b be i(10). Find the common denominator of q and -4*((-2)\/b - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.11 - -3.89. Let c = -1367.98 - -1368. What is the third biggest value in 0.2, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 972 and 2.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3258 divided by -2.\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -44*o - 2151. Calculate p(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2816623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158435139 and 76425.\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/5 + 98*g**3\/5 - 432*g**2\/5 - 392*g\/5 + 352 = 0.\nAnswer: -2, 2, 5, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l**3 + 1)*(2*l**2 + l**2 - 2*l**2) + 1016*l**5 + 1087*l**5 - 2060*l**5.\nAnswer: 45*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213.634 + 214. Let q = -0.365268 + o. What is q rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.078 + 20.078. Let w = 20 - p. Which is the third biggest value? (a) w (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 + -0.2. Let c = l + 3.09. Put 0.5, -4, c in descending order.\nAnswer: c, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018779 to four decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 0 - (-6 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*r**3 - 61*r**3 + 10*r**3 + 63*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*-1*0. Let n(b) = b**2 - b + 373. Is n(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -2. Let p(j) = -7*j**2 - 3*j**2 + 2*j**2 + q*j**2. Let d(h) = 10269 - 10269 - h. Determine p(d(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47\/12 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 260944 >= 260942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 64*h + 390 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*x**2 + 91*x**2 - 2*x**3 - 3*x wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2212?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 38 + 13 = 0. Suppose -x*r + 2*v + 65 = -0*v, 0 = r - 3*v - 26. Let h(b) = b**3 - 11*b**2 + 6*b - 16. Does 7 divide h(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523055.\nAnswer: 5, 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o**3*r**3 - 2*o**3*r + 124*o**2*r**5 + o**2 - 3*o*r wrt r?\nAnswer: -12*o**3*r + 2480*o**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 46. Determine y(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*z**3 - 196319*z**2 + 3775*z + 5503 wrt z.\nAnswer: 690*z - 392638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = -8. Let p be (54 - i)*4\/10. Suppose 2*u + p = 6*u. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k - 5. Let x be w(4). Let u be (-8)\/6*(-3 - 0). Suppose u*a - 230 + 34 = 0. Calculate the highest common factor of x and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 19*f**2 + 5*f - 1. Let o(h) = h**3 - 9*h**2 - 3*h. Let d(q) = -3*l(q) - 7*o(q). Calculate d(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1980)*1)\/(sqrt(44) + -2*sqrt(176)) + -4)*2.\nAnswer: -8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*o. Factor -u - 7*u**3 + u**2 + 8*u**3 + 0 - 3 + o.\nAnswer: (u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u**3 - 14*u**2 - 9*u + 13. Let k(q) = 7*q**3 + 13*q**2 + 8*q - 12. Let d(l) = 6*h(l) + 7*k(l). Does 6 divide d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 6. Suppose 0 = -2*i - 2, 4*c + 3*i = 13. Suppose 0 = -6*f + 3*f + 21. Suppose -f*u + 6*u = -c. Determine t(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**6\/27 + 28*m**5\/45 + 32*m**4\/9 + 64*m**3\/9 - 133. Solve t(y) = 0.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**3 - f**2 + f**2)*(-16 - 13 - 14)*(-100 + 88 + 312) to the form h + q*f + v*f**2 + i*f**3 and give i.\nAnswer: -25800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66670 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*q + 804 + 796 = 0. What is the lowest common multiple of q and 588?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49635 is divided by 49129?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 11:48 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 3. Let u(k) = -2*k + 2. Let s(d) = -3*b(d) - 4*u(d). What is s(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = q + 21, 3*d + 9*q = 8*q + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/((-9)\/(-6)*(-263)\/(-1578)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x + x - 3*x)*(2 - 2 + 2) + 2*x + 4*x - 4*x + x - 3*x + 3*x in the form p + v*x and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2061 and 9567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -13*o**2. Let y(t) = -t**2. What is r(y(f))?\nAnswer: -13*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l - 228065 + 228033 + 0*l. What is m(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1388780 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*r + 62 wrt r.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(280\/(-15)))\/((-2)\/14). Let c(j) = j + 32. Let o(w) = -w - 31. Let m(b) = i*c(b) + 2*o(b). What is m(0)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 531*r**3 + 414*r**3.\nAnswer: -117*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5457, -5443, -5429, -5421, -5425?\nAnswer: -5447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from kkkkkzzkzzzkk.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-7 + 55\/10). Find the common denominator of (-19)\/8*8\/(-6) and t\/(-27) - 7\/168*28.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119371, 238732, 358069, 477370, 596623, 715816?\nAnswer: 834937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 10:34 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84957.9 centimeters to kilometers.\nAnswer: 0.849579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -18?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65\/30 - 2 - 22\/(-12). Let q be ((-6)\/(-15))\/(3\/(-5)). Which is the fourth smallest value? (a) -0.1 (b) r (c) 1\/5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02378 + -3.02378. Is -1.71 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3)*3 + sqrt(36)\/(sqrt(2)*-2))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 6, k: 3, v: 1, y: 2}. What is prob of sequence dk?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -2*sqrt(1539) + -4 + 0 + sqrt(1539) + 4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 570390, 570398, 570412, 570432, 570458, 570490, 570528?\n\"Answer: 3*j**2 - j + 570388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 g when three letters picked without replacement from {p: 16, g: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 0.1, 58, 8?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, c: 2, s: 4, p: 1}. What is prob of sequence scsf?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 141 = 3*s. Suppose -2*u + 49 - s = 0. Let m be 3\/9 + 16\/6 + u. Solve -m*g + 4 = 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1250) + 0 + (sqrt(50) + sqrt(50) + (-1 + sqrt(50) - sqrt(50)))**2*-1 + -1 + ((5*(sqrt(18) + -3))**2 - ((1*sqrt(24) - sqrt(24))\/sqrt(2))\/sqrt(6)).\nAnswer: -405*sqrt(2) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4625 is divided by 2006?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 3. Let c(j) be the first derivative of 5*j**2\/2 - 7*j + 8. Let u(x) = 3*c(x) + 7*r(x). Let s(d) = 17 - 17 + 19*d. Calculate u(s(y)).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15286651 is divided by 1207.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12807054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 40 = -2*y, -f - 21*y = -26*y + 1. Suppose -54 = -f*s - 18. Solve -b = s*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14647 is divided by 188.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100 (base 3) in base 9?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*w + 15, 1 - 5 = -2*g - 3*w. Let i be -2 + 0\/8 - 5*-1. Factor 3*s**2 - 2*s**2 - 3*s**3 - 5*s**3 + g*s**i.\nAnswer: -s**2*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1499700.541 to the nearest 10000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4749516.\nAnswer: 2, 3, 107, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 + 4*y - 2. Let n be m(-5). Let b(r) = -2*r**2 - 16*r - 1. Let u be b(-8). Let s = u + -4. Put 0, s, n in decreasing order.\nAnswer: n, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-12))\/(3\/(-12)). Let x(y) = -y**3 - 5*y**2 + 5. Let d be x(q). Let u(w) = -2*w - 2. Let b(f) = -3*f - 3. Determine d*u(r) - 3*b(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.29 and -3807947996?\nAnswer: 3807947999.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.229 - -0.229. Which is smaller: 0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 2451831011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 3. Let g = 26 + m. Let h = g - 13. Is h not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -18 - 18. Suppose 21 = 4*t + y. Let q(d) = -d - 4. Let j be q(-7). Calculate the greatest common factor of t and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*k**2 + k**2 + 81 + 58642*k - 58642*k - 5*k**2 to r*k + x + c*k**2 and give x.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (1260\/(-42) - -45)*-239*-3*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -917 + 950. Calculate the smallest common multiple of i and 729.\nAnswer: 8019","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147160 and 9?\nAnswer: 1324440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 43014449090 to the nearest one million.\nAnswer: 43014000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 650, 1303, 1956, 2609, 3262?\n\"Answer: 653*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*k**3 - 210 + 52*k**3 + 209.\nAnswer: 85*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 60887 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 7548092*y + 7548091.\nAnswer: (y - 7548091)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1223964200 by 20.\nAnswer: -61198210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 889*h + 6243. Suppose 0 = -3*y + 10 + 23. What is the smallest common multiple of y and r(-7)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acccaccacacccaccac. Give prob of sequence ca.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/30 + 56\/30 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4975304 + 1757.69\nAnswer: 4977061.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1221*145.149\nAnswer: -177226.929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20474 (base 15) in base 2?\nAnswer: 11000111101110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 183 = 687. Let v = -118 + w. Let o(m) = 2*m**3 + 16*m**2 + 11*m + 9. Let u be o(-7). What is the greatest common divisor of u and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 164528?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/9620 and 17\/2630?\nAnswer: 2530060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83.6 - 86.6. Let c = -1 + 0.4. What is the smallest value in -0.1, c, q, -2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 63. Let s be g(21). Suppose -3*b + 2242 + 1835 = s. Suppose -13 + b = 2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-364)*(9 + -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(5\/9)*(t\/(t\/t**(-3\/19)))\/t)**28 assuming t is positive.\nAnswer: t**(1904\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1018835*j**4 + j**2 + 1679881?\nAnswer: 4075340*j**3 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20.5 - 21. Which is the closest to 12? (a) m (b) -0.3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220222001 (base 3) to base 12.\nAnswer: a647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*s + 6. Suppose 4*r = 2*v - 14, 5*r - 2 = 2*v - 15. Solve -s*z + v = -11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9120 and 1488?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.8 + -546.8. Let f = a - -541.999332. Round f to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.2. Let g(f) = 6*f - 8. Let k be g(-6). Let d = k - -177\/4. Which is the nearest to d? (a) p (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 240*m**5 - 38015*m**4 + 2011810*m**3 - 35834240*m**2 + 13871520*m = 0?\nAnswer: 0, 19\/48, 52, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -93*c**3 + 6*c**2 - 7*c - 6. Let d(w) = 280*w**3 - 17*w**2 + 20*w + 17. Calculate -6*d(g) - 17*s(g).\nAnswer: -99*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 16. Let n be (-13 + 3)\/((-4)\/6). Let y be n\/x*(-34)\/5. Calculate the highest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*r**2 + 5*r*w - 2*r - 658*w wrt r.\nAnswer: -66*r + 5*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 69 = -2*y + 13, 79 = 2*y - 3*d. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -18*r**3 + 2*r**2 - 35*r. Let k(p) = 36*p**3 - 5*p**2 + 70*p. Let q(a) = -2*k(a) - 5*w(a). Find the second derivative of q(u) wrt u.\nAnswer: 108*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3073 and 260327.\nAnswer: 1822289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1551 (base 6) to base 8.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82720 = -1870*f + 110*f for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -2*w**2 - 6 - 1\/3*w**3 + 0*w**4 + 1\/120*w**6 + 1\/60*w**5 + 0*w. Determine f(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-196)*-7*28.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/16)\/((77\/924)\/(24\/(-189))). Factor 2\/7*l**4 - 2\/7*l**3 + o*l - 8\/7*l**2 + 0.\nAnswer: 2*l*(l - 2)*(l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1774472113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 103 = -0*q. Suppose -f + 239 = -2*y, -3*y - 574 = -f - 215. Let w = q - y. Solve 3*m = -j - 1, -5*j + 3*m = 6*m + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 352 = -5*b - 28*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - z**2 - 3*z + 3. Let u be k(2). Let q = u - -53. Suppose -i + q + 38 = 0. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -63 + 1\/4*u**6 - u**3 + 0*u - 3\/8*u**4 + 3\/5*u**5 + 0*u**2. Determine m so that k(m) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-387)\/(-43) - (10 + -2 + 0). Let z = -186 + 2788\/15. Let m = 2 - -3. Put z, u, m in ascending order.\nAnswer: z, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*v - 15265, -40*v - 15255 = -2*f - 45*v. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6*(-5)\/90*(0 - 219) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 19 + 55. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 b when three letters picked without replacement from {b: 11, y: 3}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 9:10 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*p - 2*p + 3*o, 0 = 5*p + 5*o + 25. Let j(l) = -5*l**2 - 3*l + 11. Let b(f) = 4*f**2 + 2*f - 10. Let y(q) = 6*b(q) + 5*j(q). Determine y(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12816472 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, b: 19}. Give prob of picking 3 b.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 301, 396, 515, 652?\nAnswer: 801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6528*w = -6538*w - 100 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7759 - -7782. Solve 3*i - n = 5*j - 1, -2*i + j = -10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbjbbbxjjbbxbx. Give prob of sequence xj.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 17*f + 306. Let s be (1 - -2)\/(-18) + (-1866)\/36. Let b = f - s. Solve m - b = -3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/(-116)*2\/(-93))\/(589\/1767)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56023897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, b: 6}. What is prob of sequence oobo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2677 (base 11) to base 4\nAnswer: -312100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3 + 10*m + 100 wrt m?\nAnswer: -3*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l**(-9)\/l))**(1\/9)\/((l\/(l*l**(2\/7)))\/(l**8*l)*((l**(-1)\/l)\/l)**9) assuming l is positive.\nAnswer: l**(2314\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o - 8*o + 2*o)*(41*o + 2*o - 3*o)*(2 - 2 - 2)*(-5 + 4 - 1).\nAnswer: -2240*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is dea - 915?\nAnswer: 4d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 j, and 2 z when four letters picked without replacement from dzzzydzezj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, v: 5, f: 4}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (396\/8)\/9 + 2\/4. Solve -3*b + m = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + -195479.\nAnswer: -195468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 2*u + 4. Let m(h) = h. Let g be m(2). Let i(a) = 2*a**2 + a - 3 - 2 - a**g + a. Calculate -4*i(y) - 5*p(y).\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/3*5 + 27. Let q(m) = -10 - 8 - 5 - 16*m + r. Let j(t) = t. Give j(q(b)).\nAnswer: -16*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6811, 6987, 7171, 7363, 7563?\nAnswer: 7771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2510 + -a2576?\nAnswer: -a4a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i**2 + i + 2. Let c be ((-23)\/(-3) + -5)*3\/(-2). Let j(v) = 4*v + 2. Calculate c*j(l) + 7*g(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200)*1 + (sqrt(200) - 2*sqrt(200))*2)**2.\nAnswer: 20*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/254, 3, 5, -3\/5 in descending order.\nAnswer: 5, 3, -1\/254, -0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6085.042l?\nAnswer: 6085042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -247279451113 minus -128?\nAnswer: -247279450985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 11*l = 350. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-208)\/(-34) - (-7)\/238*-4. Suppose -x*t + 468 = 72. Suppose t = n + 45. List the prime factors of n.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1600)\/96 - -17)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*d + d = -0*d + 58, -f + 47*d = 31*d + 254 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -34120?\nAnswer: 34116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -11. Suppose 9*o - 3*o = 648. Calculate the greatest common divisor of s and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3 + 1 - 11*d - 2. Let o = 4 + -9. Is h(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*j**3*v**2 - j*o*v**3 + 147*j*o - 163*o - 5*v**3 wrt j?\nAnswer: -9*j**2*v**2 - o*v**3 + 147*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6 + 3)\/(-9))\/5 + (-1261212)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*j - 4*l = 102*j + 13, -4*j = 4*l + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-seven halves of a week?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Let o be ((-12)\/10)\/((18\/(-120))\/3). Let x = -16 + o. Solve -f*y - x = -y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11950394*b**4 + 6*b**3 + 19*b**2 - b - 2250855?\nAnswer: -286809456*b + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 0.14?\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 60, -10, 5 in decreasing order.\nAnswer: 60, 5, -10, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 - 10. Let h be 5\/((-35)\/(-21)) + d. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4953.\nAnswer: 3, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 2*r - 8, -3*n - 14 + 113 = -5*r + 40 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183066834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -4 - (-14 + (-9 - -13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 135016\/(-2411) - (-94)\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 59 + -38 + (8 - -1 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1212 + 18*v**4 - 1176 + 2*v**4 wrt v.\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5740 - -6493. Calculate the greatest common factor of v and 4769.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3. Let o(a) = 8*a**3 + 10*a**2 - 10*a - 10. Let i(p) = p**3 + p**2 - p - 1. Let y(d) = 10*i(d) - o(d). Let t = -4 + 2. What is t*y(f) - 5*z(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((7\/2)\/(-7))\/((-2)\/20). Suppose 3*l - 9 = 5*l + 5*w, -l + 18 = -5*w. Put 17, d, -1, l in descending order.\nAnswer: 17, d, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 + -16)) + -5 + 109 + -27\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w**3 + 2*w**2 + 11*w - 9. Let v(r) be the second derivative of 3*r**5\/20 + r**4\/12 + r**3 - 2*r**2 - 1585*r + 2. Give -4*f(c) + 9*v(c).\nAnswer: -c**3 + c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 310974 + -0.19507\nAnswer: 310973.80493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6) + (-10)\/(-4). Let d = -9\/5 + 29\/15. Let p = -0.105 - -1.105. Which is the nearest to p? (a) f (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 9*s**2 + 13*s + 10. Let j be q(-5). Suppose -j = -4*b - 5*x, 5*b + 0*x - 5*x = 0. Solve 7*z - 2*z = b for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22422*g - 3204*g**2 + 22421*g - 11895*g**2 in the form l*g**2 + z + q*g and give l.\nAnswer: -15099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2*s**2 + 6*s**2)*(81 + 8*s + 4*s**2 - 81).\nAnswer: 8*s**4 + 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6770099.\nAnswer: 7, 19, 109, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3.1. Let z = 2 + -14. Let w = 11.5 + z. Which is the nearest to p? (a) -4\/3 (b) -2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g + 4990 = -53*g + 2047 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -227, -457, -687?\n\"Answer: -230*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 24. Factor -3*d - 72*d**3 - 24*d**4 - 24*d**4 + l*d - 27*d**2.\nAnswer: -3*d*(d + 1)*(4*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/(-57) - 55\/33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 34.00000023. Round p to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**5\/20 + 3*j**4\/4 + j**3\/6 - 3*j**2 + 10*j - 6. Let s(y) be the first derivative of t(y). What is s(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012033 is divided by 6247.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/3 - 3*t**2\/2 - 7*t - 1. Let i be l(5). Let z be 1\/(1*2\/(-2)). Put z, i, 2 in descending order.\nAnswer: i, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 12*p - 1. Let m(s) = -4*s**2 - 16*s - 1. Let l(z) = -z**2 - z - 2. Let c(o) = -2*l(o) + m(o). Let x(d) = 3*b(d) + 2*c(d). What is x(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1036, -2074, -3112, -4150, -5188?\n\"Answer: -1038*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.94 times -0.09?\nAnswer: -2.8746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33 and 388?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1) - 152607\/22. Suppose -4*y + 3*c = 27727, -3*c = 9*y - 14*y - 34658. Let r = w - y. Find the common denominator of r and 75\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47.142 + -0.142. Sort 1, p, -1\/3 in decreasing order.\nAnswer: p, 1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7476453?\nAnswer: 3, 43, 19319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -0.2 (c) 0.2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + -2 - -47) + 24 - 13.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1063\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t + 708 - 168 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 4 = -2*j - 3, -17 = -3*j + q. Let k(l) = -l**3 + 2*l**2 - l. Let x be k(j). Let n = -16 - x. Calculate the lowest common multiple of n and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -144789 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -p**6\/60 + 571*p**5\/30 - 20306*p**4\/3 - 81796*p**3\/3 + 1207*p**2. Suppose v(z) = 0. Calculate z.\nAnswer: -1, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40659, 50223, 66173, 88515, 117255, 152399, 193953, 241923?\nAnswer: 296315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 616.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6744*r + 368. Let n be k(-3). What is n rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -14, -2\/5, -3\/4, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -597 or -599?\nAnswer: -597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1308 and 15910294?\nAnswer: 95461764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -121044773 by -4.\nAnswer: 121044773\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-5))\/(3\/15). Let r be (-256)\/(-18) + y\/(-9). Let g = r + 5. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 69\/136 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 10.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**3 - 153*z - 170*z + 323*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = -10. Let s = 49495\/6488 - 3\/811. Find the common denominator of s and (g - 21\/(-12))*340\/(-14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/(1561\/1338).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4718413 and 11.\nAnswer: 51902543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - d + 27 = 0, -5668 = 5*y - 4*d - 5560 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 5600000 = -22*o. Round o to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/7)\/(z**2*z))**(-2\/55)*((z\/((z*z**(2\/3)*z)\/z))\/(z**(-1\/2)\/z*z*z))**(-49) assuming z is positive.\nAnswer: z**(12029\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 3336, 11185, 26448, 51591, 89080?\nAnswer: 141381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 128 - 20 = 0. Let n = 36 + w. Let m = 25 + -50. Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*r + 87*r + 3*h = 164*r, 0 = 5*h - 0 + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i\/(i*i**(-13)))**(12\/11)\/(i**(1\/3)*i**(-3\/11)) assuming i is positive.\nAnswer: i**(574\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-15)\/(-35)*3*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkhk when four letters picked without replacement from hkkkhkkkhhhkhhhkhkkk?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 114 = -9 - 73. Let j be ((-12)\/35)\/(4\/(-50)). Which is greater: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1880 = -1685*g + 1355 - 5986 - 10339 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*v + c, 16*c = -v + 14*c. Suppose -4*h = -4*y + 2*y - 16, y + h = v. Solve 23\/2*d**3 + 7\/2*d**4 + y*d + 0 + 3*d**2 = 0.\nAnswer: -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 21 = -4*t + 36, 3*o + 9 = 3*t. Solve -7*m + t = -11*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 178449 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 240, 230, 200, 138, 32, -130?\n\"Answer: -2*n**3 + 2*n**2 - 2*n + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255241 by -5209.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 3:39 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-3 + 1) - (2 - -1). Is (-2521)\/4*(v - (-2 + 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 - -45. Let z be (165\/220)\/((-1)\/(-24)). Which is greater: r or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -3) + (-3 - (5 + -3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-5 - -17) + -7 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, m: 3, h: 4, p: 3}. Give prob of picking 2 p and 2 h.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - n + 9 = -3*i, -i - n + 5 = 0. Let p(u) be the third derivative of u**6\/6 + u**5\/12 + u**4\/8 - 5*u**3\/6 - 6*u**2 - 24. Is p(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 4*k**3 + 20*k**2 + 1765*k - 2103. Find the first derivative of t(h) wrt h.\nAnswer: 24*h + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387967945 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - -10 - (-35 + 89).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -754 - -750.01. Let u = d + -0.01. Which is the biggest value? (a) u (b) 0.4 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 6:22 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*j + 10 = 0, -1057 = -3*y + 3*j - 1042 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1.71.\nAnswer: 5.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10945.9 rounded to the nearest ten?\nAnswer: -10950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142 - 161 - (4 - (-2 - -7)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 40, 27, -24, -125?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2681.9 - 2683.5227. Let j = w + 1.64. What is j rounded to 3 dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 1:19 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 56 + 16 + 19 - 9*h**2 + 9*h + 9. What is o(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 12:32 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -87032574 >= -87032581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 - u**3\/2 + 5*u**2\/2 + 692*u + 3. Let p = 0 - -3. Let r(k) = -2*k**3 + 4*k - 6. Give p*r(o) + 4*l(o).\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3675.021 microseconds to milliseconds.\nAnswer: 3.675021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 3*x + 0*x)*(-1 + 1 + 2) + (-x - x + x)*(-2 + 3 + 1) - 5 + x + 5 - x + 2*x + x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 4*b = 12. Let d(x) = -x**2 - 4*x + 5. Let z be d(b). Suppose 3*r - z*m + 403 - 3335 = 0, -3*r - 2*m + 2939 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 9) to base 14.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 - 2*x**2 - x - 1. What are the prime factors of j(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chh when three letters picked without replacement from {c: 1, h: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*73\/(-730)*-15.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -293, -408, -597, -860?\n\"Answer: -37*u**2 - 4*u - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3256048039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a - 152 = -28. Let u(v) = -9*v - 3. Calculate u(a).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/24 + b**3\/6 + 5*b**2. Let x(o) = o**3 + 3*o**2 - o + 4. Calculate the remainder when x(-3) is divided by p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20573)\/(-7 + 0)*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*o = -4*o + 9, 0 = 4*r + 4*o - 20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1074 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*b**3 - 232*b**2 - 420*b - 144.\nAnswer: -4*(b + 3)**2*(9*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 4. Let y(o) = -o**2 + 6*o + 19. Let v be y(8). Factor -16*c**2 - 7*c**3 - v*c + t*c**3 - 2*c**4 - 5*c - 6*c**3.\nAnswer: -2*c*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7349*d - 241824 = -7371*d. What is the thousands digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 59*y**2 - 28*y - 1648. Give v(-59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/6)\/(6\/(-4) + (-574)\/(-164))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Let d(j) = -30*j**2 - 84650. Give d(i(x)).\nAnswer: -120*x**4 - 84650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(8 + 242\/(-33))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52079 is divided by 1086.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-4) - (-36)\/16. Let z(d) be the second derivative of 1\/2*d**2 + 0 + 1\/3*d**3 - 1\/4*d**4 + 2*d + 1\/20*d**5. Determine z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 + 9*u**2 + 11*u**2 + 21 - 31*u**2 + 2*u**2.\nAnswer: 2*u**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -786627936*l + 999800554?\nAnswer: -786627936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 4?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 118601\nAnswer: -23720.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, w: 1, x: 3, f: 2, o: 1}. Give prob of sequence wx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/((-1)\/2). Is (1 + -2)\/(a\/(-9)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1233121452 (base 6) to base 16\nAnswer: -dc2548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 252 - 31?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 7)*(3 - 1 + 0)*(-4*d - 4*d + 3*d + (4*d + 3*d - 5*d)*(9 + 15 - 9) + 3 - 3 - 2*d) - 1 + 1 - d.\nAnswer: 183*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 99764432351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -9673?\nAnswer: -9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**5\/13 + 196*c**4\/13 + 6316*c**3\/13 + 72368*c**2\/13 + 15114*c - 56628 = 0.\nAnswer: -39, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -130, -197, -266, -337, -410?\n\"Answer: -f**2 - 62*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 - -1523\/12. Let l = 3637 + -3642. Which is the third smallest value? (a) m (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 12:24 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.6 * -16659.4.\nAnswer: -143270.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a decade in months?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4440*g - 688290 = -2512*g - 97370 for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k - 3. Let w(z) = 4*z - 2. Let t(x) = 3*q(x) - 4*w(x). Let v(g) = g + 2. Determine -3*t(d) - v(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102.07 - 103. Let y = k + 1.05. Which is the third biggest value? (a) y (b) 0.4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b + 25 = 31*b. Suppose 0*h + 2*y - 81 = b*h, -5*h - 3*y = 91. Is h <= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 14433?\nAnswer: -14442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b187 - -5?\nAnswer: 3b18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(5 + -3 + 2). Let p(i) be the second derivative of i**3\/6 + i**2 - i. What is p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108039 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-28)*7)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqggqgbbbgbqg. Give prob of sequence qqq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 15. Let h be p(10). Suppose -h - 19 = 4*a. Let t = 4 - a. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 13 + 1895*h + 7 - 1 to the form b + z*h and give z.\nAnswer: 1895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2648 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) 10 (c) -0.111 (d) 0.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348894223.\nAnswer: 348894223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297356.\nAnswer: 2, 79, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13095.625 + 13217. What is k rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 729 + 729.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -64*k**3 - 82*k**2 - 2*k. Let t(s) = -s**3 + 8*s**2. Determine -h(n) - 10*t(n).\nAnswer: 74*n**3 + 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/2 (b) 0 (c) -1\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - h + 5. Let s be v(0). Suppose -3*q = -s*j - 130 + 339, -2*q = 6. Suppose 4*i - 3*i = 14. Calculate the remainder when j is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*h, -4*w - w - h = -9. Suppose 2*y = -3*o + 80, -2*o + 72*y + 56 = 76*y. Solve -o = -7*k + w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4836 = -8*p + 4821, -3 - 2 = -3*x + 4*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -r + 22, 3*z + 107 = 4*r - 0*r. What is the remainder when 360 is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -16. Put -1\/8, x, -4 in decreasing order.\nAnswer: -1\/8, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 0 - 1 + 1.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 0.3, 2\/23, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 95. Suppose c + 4*c - w = 0. What is the remainder when c is divided by 13 + 3 + -7 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 0)*(1 - 1 - 2*v) - v + 3 - 3 - 4*v + 8 - 8)*(2*v - 2*v + v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -754.\nAnswer: 74646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*i = 15, -3*w + 4*i = -i - 15. Is -14\/17 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4636 is divided by 116.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0499 times 0.4?\nAnswer: 0.01996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2*o**4 - 19*o**2 + 1. Find the second derivative of s(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1478\/14780)\/((-4)\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 177 + 106 + 33 + 298 + 746*k + 12 wrt k?\nAnswer: 746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a - 410 = 4*x, a = -5*x - 522. Let m be ((x\/12)\/(-1))\/(4\/690). Suppose 0 = 3*r - m - 3296. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at least -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-24)\/(-108) + -1 + 952\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 8*q**2 + q - 7. Let p be t(8). Let h(o) = 7*o**2 + 1. What is the units digit of h(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 230 - 228. Let u(y) = -92*y - 97*y - y**2 - p*y**2 + 192*y. Suppose 0 = -0*m - 2*m - 4*j + 22, -4*m = j - 16. What is u(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51492425.\nAnswer: 5, 2059697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1771987 and 512001?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52081471 and 2795?\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*h**4 + 47*h**3 - 3*h**2 - 1734260*h wrt h?\nAnswer: -624*h**2 + 282*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108198645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2909, -5816, -8723, -11630, -14537?\n\"Answer: -2907*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -2) + -1 + -16 + 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-29)\/((-261)\/882))\/2. Suppose n - 3*n = -14. What is the highest common divisor of n and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2726440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(84))\/sqrt(12) - (-4 + sqrt(28)))**2.\nAnswer: -24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + -48. Let t(i) = 21*i**2 + 50*i - 22. Let f be t(-6). What is the highest common divisor of y and f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0955 + 103.0955. What is the biggest value in 0.5, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7 - 9 = 2*t, 0 = 3*t - 5*g + 19. Let v(w) = 3*w - 1. Let d be v(t). Suppose -d*a = -96 - 74. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(24\/((-90)\/15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -3775\/6, 3, 0.4, -0.5 in ascending order.\nAnswer: -3775\/6, -0.5, 0.4, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*n - 503 + 333 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4813945, -9627888, -14441831, -19255774, -24069717?\n\"Answer: -4813943*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14446 and 4573790?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -533 + 528. Which is the closest to -2\/7? (a) -2 (b) -6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5256, 5275, 5310, 5361, 5428, 5511, 5610?\nAnswer: 5725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 7*m + 10. Let q be 4 - ((-4)\/22 + (-520)\/(-440)). Let c be -1 - 3*(q + -2). What is f(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-21))\/(2\/(-42)). Let r = 5 + x. Let d be (84\/r)\/7*-3. Solve -u + 2*p + p - 11 = 0, -2*u + 8 = d*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -42. Let b = 28 + o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**5*k*((k\/k**(1\/3))\/k)\/k*k*k*k**0)\/((k*k**0*k)\/(k\/((k*k*k**(1\/7))\/k)))**10 assuming k is positive.\nAnswer: k**(-499\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 7*t**5\/30 + 15*t**2. Let n(c) = -3*c. What is n(v(w))?\nAnswer: -42*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 296*j**2 + 5*j - 4. Let g be v(1). Suppose -4*l + c = l - g, 0 = 2*c - 6. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/15 - 19726*k**2\/15 - 18992222*k\/15 - 1607803462\/5.\nAnswer: -2*(k + 523)**2*(k + 8817)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m + 255 = 33*m - d, -5*m = -2*d - 427. Sort m, -1, 5 in descending order.\nAnswer: m, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (390\/(-2275))\/((-12)\/25*5).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 726094128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 + -2?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 255259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597568.6 litres to millilitres.\nAnswer: 597568600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 55. Suppose v = 10*k - 11*k + 32, 4*v - 116 = 2*k. Solve w = 3*c + 5*m, c + 6*m - v = m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = 5*g, -7*g + 10 = -2*g - 5*k. Let m(c) = 242*c**2 - c + 1. Let x be m(1). Let n(q) = -240*q - 3*q**2 + 0*q**2 - 1 + x*q. Determine n(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2*b + 3. Let u be f(2). Let o be (1 - 0)\/(u\/(-24)). Let p = 11 + o. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**4 + c**3 + 1. Let n be 6\/2 - 0 - -2. Let y(g) = -4*g**3 + 2*g**5 + g**2 + g**4 + 0 + n*g**3 + g**2 + 3. Let o(s) = -3*f(s) + y(s). Factor o(q).\nAnswer: 2*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -14 (b) 5 (c) 12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -902.530151 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26450\/11*b**2 + 2\/11 + 460\/11*b = 0. Calculate b.\nAnswer: -1\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.9557 * 9.\nAnswer: -143.6013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 253 - 263. Suppose s*v + 3*v = 5. Let t(p) be the third derivative of p**4\/24 + 2*p**2. Calculate t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937*x - 499 = 1049*x - 1188 - 879 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -5 (c) -2 (d) 2\/6249\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5\/9, -0.0331571 in ascending order.\nAnswer: -0.0331571, 5\/9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54 - (83 + 47)) + 61.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w + 5. Let t(a) = 196*a**3 + 2*a**2 - a + 1. List the prime factors of t(w).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219628041 is divided by 832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -2*j**3 + 3*j**2\/2 + 7*j. Let c(u) = -6*u + 2. Let g(x) = -5*c(x) + 3*p(x). Let r be g(-2). Solve -4*m - 5 = r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.5, 2\/23, -1, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*r - 736 = -v, 2*r + 1228 = 5*v. Let l = v + -127. What is the remainder when l is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbcfnbicq. What is prob of picking 1 b and 1 c?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.96 - -8. Let y = d - -0.16. What is the smallest value in 10, 2, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439350 divided by 112?\nAnswer: 219675\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 34. Suppose -w*h + 4 + 4 = 0. Calculate the remainder when h is divided by (-13)\/(-4) - 1\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(304) + sqrt(19) - sqrt(19)) + sqrt(19)) + -3 + sqrt(19)*1.\nAnswer: -19*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -7*i**3 + 38*i**2 + 1534*i - 7742. Give b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/21)\/(-4)*(-20)\/50*(-231)\/(-1650)?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -25*w + 5. Let f be c(2). Let b = 44 + f. Calculate the remainder when (33\/(-12))\/(b\/4) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o. Let d be (-4)\/(-14) + (-32)\/14. Let f(p) be the third derivative of -p**4\/24 - 11*p**3\/6 + 15*p**2. Let q(c) = d*y(c) + f(c). Give q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - v - 1. Let k(p) = 6*p**2 - 12*p + 1. Calculate k(n) + 4*o(n).\nAnswer: 2*n**2 - 16*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209454 = -12*r + 6*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, y: 9, f: 4}. What is prob of sequence mmy?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62888?\nAnswer: 2, 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 18.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2897 is divided by 362.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -3\/10*y**5 + 1\/3*y**4 + 197\/6*y**3 - 2 - 2*y + 0*y**2. What is the second derivative of f(a) wrt a?\nAnswer: -36*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 173*m = -175*m - 6, -5*m = 2*b + 36 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m = -35. Suppose 2*y + 0*y - 2 = 0. What is the least common multiple of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366705.\nAnswer: 3, 5, 29, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 + 2*x + 4. Let v(t) = -t**2 - 1. Suppose 0 = 4*l + 16, -2*o + 4*l + 25 = 7. Calculate o*j(y) + 4*v(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -8*p - p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*s + 46 - 16, -5*s = 5*q - 250. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 68. Let k(w) = 16*w**2 + 2. Calculate q(k(d)).\nAnswer: -16*d**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1806 and 5569102.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t + 4*y + 20, -3*y = 15. Let n = -140\/9 + 4024\/261. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3867, -6374, -8891, -11424, -13979, -16562, -19179, -21836?\nAnswer: -24539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1562133.\nAnswer: 3, 179, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 2 + 11*g + 4*g.\nAnswer: 9*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -101*k + 2. Let g be s(1). Let o be 3\/21*-2 - g\/(-21). Let h(m) = 3*m + 3. Give h(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/((34\/((-6120)\/10))\/(102\/45)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178223808.\nAnswer: 2, 3, 7, 132607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 241, 40\/3?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(sqrt(891) + -3 + 1)**2*-5.\nAnswer: -13422 + 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9565180 to the power of 1\/2, to the nearest integer?\nAnswer: 3093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**8\/40 - 31*g**7\/350 - 47*g**6\/100 - 31*g**5\/100 + 13*g**4\/20 + 4*g**3\/5 + 452*g**2. What is a in j(a) = 0?\nAnswer: -1, -2\/7, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-484)\/22 + (-31 + -9)\/(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 240934122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.434368 to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/6)\/9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 88*t - 83*t. Let z(f) = -3*f**2 + 7*f + 7. Let g(i) = 2*i**2 - 4*i - 3. Let m(u) = 5*g(u) + 3*z(u). Is 12 a factor of m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 5:28 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*v + 3*v. What is the least common multiple of 9 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t - 4*t + 4*t - 2*t + 3*t + 0*t + (0 - 1 - 1)*(-3*t - 2*t + 6*t) + 6*t + 2*t + 2*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -19?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*1204\/(-129)*6\/(-8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20a44565 - -3?\nAnswer: -20a44562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g**2 + 393*g + 392. Give z(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4\/7 + 30*t**3\/7 - 130*t**2\/7 + 30*t - 108\/7 = 0.\nAnswer: 1, 2, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 - 104 = 31*v + 37*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. What is u in -28*u**4 + 17*u**2 - 6*u + 8*u**3 - f*u + 11*u**2 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*p, p + 1 = 2*b - 7. Solve -b*g = 0, -f - 4*g - 4 = -9*g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 equal to 764229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85196876?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -99 - ((-6)\/2 + 2). Let h be 2\/10 - o\/35. Let p(i) = 2*i**2 - h + i**2 - 2*i + 3. Determine p(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6176820?\nAnswer: 2, 3, 5, 13, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 3831*x**2 + 1088*x**4 - 2*x - 3831*x**2 - 2*x**3 to c*x**4 + k + i*x + b*x**2 + q*x**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205 + -108. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*y = -2*r - 373, 5*y + 5 = 0. Suppose 7*h = -2*t + 4*h + r, 0 = t + h - 96. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + (4*(sqrt(637) - (sqrt(637) + (sqrt(637) + 1 - sqrt(637)) + sqrt(637)) - sqrt(637)))**2 + 2 + -2 + sqrt(637) + 0.\nAnswer: 455*sqrt(13) + 40790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-12)*9)\/((-2016)\/6912)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -27*v - 2. Suppose 25 = -5*g + 4*a, 4*a + 9 = -3*g + 26. What is the tens digit of w(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/4 (b) -3\/4 (c) -122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*i**3 + 4*i**2 - 477*i**3 + 250*i**3 - 4*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -4, -1, -59043, 2 in ascending order.\nAnswer: -59043, -5, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*d + 5 = 57*d - 5*q, 0 = -4*q + 16. Suppose 4*i + i - d*f = 120, f + 3 = 0. Solve 0 = -2*s + 2*k - 4*k - 4, i = 2*s - 3*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1))\/a)**(-3)*(a**(-6)*a)\/a**6)**24 assuming a is positive.\nAnswer: a**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*s = 264*s - 148. Let w = -71 + s. Solve -2*q - w*q - 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-320))\/(2\/(-64)*-12).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 317674 and 112?\nAnswer: 2541392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**3 + i**2 - 1. Let b be z(-1). Let p = 2144 - 2134. Let d be (-2456)\/b*(-36645)\/p + -2. What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -992*j - 11917. Determine h(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41313 and 92637.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.32023 rounded to 2 dps?\nAnswer: 68.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmkm. What is prob of sequence mmx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(2057)*1 - (-1*sqrt(2057)*3 + sqrt(2057)))*-2*3)**2.\nAnswer: 42653952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 928 = -95*q + 153*q. Let i = -8 - -12. What is the highest common divisor of q and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(288))\/sqrt(6) + (sqrt(24)\/sqrt(2) + sqrt(3))**2.\nAnswer: 5*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 - (0 - -17 - 3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 73418498 to the power of 1\/3, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.09 + 0.09. Let h = -169 + 174. Which is the biggest value? (a) h (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(2448) + -1*(sqrt(2448)*2 - sqrt(2448)) - (sqrt(136) - (sqrt(136) - sqrt(136)*-2 - sqrt(136))*3 - sqrt(136))\/(-2*sqrt(800)).\nAnswer: -5 - 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/11174274 and 41\/2207264.\nAnswer: 178788384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 1827*k + 215582. What is g(-118)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Suppose 4*s = 2*g + g + 3, -2*s - 6 = -f*g. Solve -4 + g = -k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**3 + 5*m**2 - 5*m - 4. Let r be b(-4). Suppose 4*d - r = 2*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/29)*d\/(d**(-5)\/d*d))\/(d**(2\/5)*d\/d**(-2\/9))*(d**(2\/15)\/d**7)\/(d**(1\/4))**(-1) assuming d is positive.\nAnswer: d**(-11327\/5220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b**2 + 2. Determine y(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 3*t + 1. Suppose 3*s - 11 = -4*k, -5*s + s = -4*k + 32. Let a be s\/(-1*(-9)\/(-15)). Give p(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -471, -521, -571?\n\"Answer: -50*f - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhh when three letters picked without replacement from uhtbpapb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 60*t**2 + 365*t - 75. Does 23 divide j(33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 950 + -282. Let n = u - 577. List the prime factors of n.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 14. Solve 3*m = -2*m - 3*r - 25, i*m + 3*r = -10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = x - 16, 2*x = -87*y - 224*y + 307*y - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 30 = -0*m. Let p = -3 - -5. Suppose -p*h + m*h = 15. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/12 in -4, 2, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -34. Let m = 119 + -118. Suppose -2*q + 5 + m = 0. What is the least common multiple of q and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 2 - 4. Let v = -226843\/1738191 + -32\/6367. Let n = v + -2\/273. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tustuuttuusu. What is prob of picking 1 s, 2 u, and 1 t?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -4afc34?\nAnswer: -4afc31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 6*o - 271. Calculate the remainder when o is divided by (1\/(-3))\/(4\/(-180)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (0 + 8 + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.3. Let w = 38 - 23. Let k = -19 + w. Which is the biggest value? (a) k (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 15422089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 12 = -0. Let n be (a\/(-16))\/(2\/8). Is n less than or equal to 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 203, 409, 615, 821, 1027?\n\"Answer: 206*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -1 + -7 + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 81, 86?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 18 = 12*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9)*((-37)\/(-74))\/(3\/(-27)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(-4)\/(-2). Suppose -5*s + 9 + 6 = 0. Put 5\/4, r, s in ascending order.\nAnswer: r, 5\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101277601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 2*g**2 + 186*g - 71 - 87 + 245.\nAnswer: 2*g**2 + 186*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.2 (b) 0.086 (c) 1\/3 (d) 4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 142, 209, 260, 289, 290, 257?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 8) + 22 + 6 + -10 + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v - 11\/210*v**5 + 0 + 2*v**2 + 2\/21*v**3 - 1\/30*v**6 + 5\/84*v**4. Let j(y) = 0. What is y?\nAnswer: -1, -2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 less than or equal to -1428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 6. Suppose -r + 13 = 3*p + r, -p - 2*r = -3. Let f(t) = 4*t - 3 + 0 - 2. Let a(j) = p*s(j) - 6*f(j). Let o(w) = -2*w**2. Determine o(a(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 13*d - 15. Suppose -34 - 26 = -5*s. What is the smallest common multiple of b(7) and s?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -m, -70*o = -71*o + 12*m - 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1650 by -6.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14022023205 - -4?\nAnswer: -14022023201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(3 + (-1 - 3)). Solve 4*k - 4 = x*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 2960?\nAnswer: 20720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.139? (a) -1\/5 (b) 2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (675\/(-9))\/15*57*1\/15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 - -0.1. Let q = 0.040002 + k. Round q to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7 - 3*r - 3 + 5 + 2 + 7. Let k = -18 + 13. Let v be m(k). Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 760.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 12*c + 6*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/9 (b) -3 (c) 2\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-6)\/8)\/(((-21)\/8)\/7). Suppose 5*l - 5*k = 405, 62 = b*l + 5*k - 135. Calculate the remainder when l is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p. Let b(x) = 5296*x**2 - 2*x - 156. Determine b(h(t)).\nAnswer: 132400*t**2 + 10*t - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010010111001 (base 2) in base 14?\nAnswer: -ac65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29282, 115786, 259518, 460478, 718666, 1034082?\n\"Answer: 28614*p**2 + 662*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 6*t**2 + 4. Let h(r) = r - 5. Let d be h(5). Suppose d*p - 3*p = 4*u - 10, -2*p + 14 = -u. Let b be c(p). Solve 2*g - b = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 7:33 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 354 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 10)*(0 - 2). Suppose 2*w + 10 = 0, 0 = 3*p + d*p - 2*w - 25. Solve 0 = -4*b + 3*u + 8, -b - 4*u = -p*u + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxj when three letters picked without replacement from {j: 3, x: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64161.\nAnswer: 3, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1320.6 and -4.\nAnswer: 5282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**5\/20 + 2*i**4\/3 + 3*i**2 - 4*i + 14. Determine q(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 3. Let m(a) be the first derivative of -2*a - 42. Let t be 0\/3 + (-4)\/(-2) - -3. What is t*m(q) + 3*c(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1893482.\nAnswer: 2, 946741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3947 or 3948?\nAnswer: 3947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/852 and 25\/336.\nAnswer: 23856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a822a65 - -3?\nAnswer: -12a822a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 5*h + 2. Let f be (-56)\/364 + (1 - 30\/(-26)). Let p be (48\/28)\/(f\/7). Give c(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 + -42. Calculate the remainder when 119 is divided by i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - p - 803. Let g be i(0). Does g = -803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 14, 37.7, -0.4 in ascending order.\nAnswer: -3, -0.4, 2, 14, 37.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 797 + -800. Let c = -1.97 - 0.03. What is the closest to c in w, -0.8, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2997\/(-2)*(-8)\/(-6). Let b be 6\/3 + -4 + s. What is b rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p = 66 + 129 - 303 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19045*n**3 + 197*n**2 - 14*n wrt n.\nAnswer: -114270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 1. Suppose 0 = 5*h + 5*c - 5, 5*h + 1 = c + 18. Let v(t) = t - 2. Determine h*a(r) + 2*v(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14676 = -4*i - 4*a, -i = 5*a - 2675 - 998. Let u be (-29596)\/i + 2*4. Is u not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(-4) - 2\/8. Suppose -y - 4*u + 6 = -0*y, 10 = 3*y + q*u. Let v = 94\/3 - 31. Which is the nearest to y? (a) -2\/9 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-804)\/40 + (-3)\/(-5) and 37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*r**2 + r**3 + 3*r**3 - 53*r**2.\nAnswer: 4*r**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ioi when three letters picked without replacement from xiaio.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**5 + 60*c**4 + 56*c**3 = 0 for c.\nAnswer: -14, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 16 = -0*j. Let y = j + 11. Solve y*g + 0*g = t, -t + 2 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4182*h - 8340*h + 4165*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/10 + (-1764)\/52920?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*(u*u*(u*u**31)\/u*u)\/u*u**(2\/91)*((u**16*u)\/u)**(6\/29) assuming u is positive.\nAnswer: u**(101159\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 1\/6*o**3 + o + 1\/2*o**2 - 1\/20*o**5 + 0 + 5\/12*o**4. Calculate the least common multiple of s(5) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85085 and 52129?\nAnswer: 57602545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*68\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**5\/15 + x**4\/12 + 4*x**3\/9 - 2*x**2\/3 - 235. Factor o(v).\nAnswer: -v*(v - 2)*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + 11. Suppose -1 = -8*z + 23. What is the first derivative of -2 + g*p**3 + 4*p**z - p**3 + 4 wrt p?\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178882 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-24)*2*3\/(-21))\/(14885\/(-2290))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 5*t + 638 = 0, -4*t + 1088 = 5*v. Let h = -196 + 203. Suppose v = u + h*u. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - w**5 - w**4)*((4 + 1 - 3)*(-3 + 4 + 1) - 4 + 3 + 0 + 4 - 3 - 3).\nAnswer: -w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/33 + -1201\/132. Calculate the common denominator of j and -145\/1524.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - h**2 + h + 2*h**2 + 2*h**2 - 3*h**2 + (h**2 + 3*h**2 - 3*h**2)*(5 + 1 - 2).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5111 divide 393541889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5 + 1712*o**4 - 10*o**3 - 8560*o**2 + 8*o + 6848 = 0?\nAnswer: -856, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 13, 8, 3?\n\"Answer: -5*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35161297523874.000109 - -35161283427979. Let p = c - -14095887. Let y = p + 8. Round y to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -272.61 or 0.1?\nAnswer: -272.61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290084.\nAnswer: 2, 3, 107507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -860 + 855. Which is the nearest to 0.1? (a) r (b) -4\/11 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 522472246.1 to the nearest one million.\nAnswer: 522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681271 to the power of 1\/2, to the nearest integer?\nAnswer: 1637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - b + 6*b + 0*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 195, -5, 1, 0, 2 in descending order.\nAnswer: 195, 2, 1, 0, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -16, -2, -3, 36, 44 in ascending order.\nAnswer: -16, -3, -2, 5, 36, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/108320 and -63\/16.\nAnswer: 108320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/((-344)\/(-144))*(-962)\/546*7\/2?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.029 and -2139419?\nAnswer: 62043.151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 19*k + 11. Let x be h(-7). Is 41 a factor of -1 - -4 - (-3 + x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 14*r - 2604. Suppose 4*u + 231 - 35 = 4*j, -2*u + r = 5*j. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/196)\/(97\/(22504\/(-1044)))?\nAnswer: 1\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 0*q - 2*q)*(-4*q + q + q) + 716*q**2 - 1395*q + 1395*q - 238*q**2 as i + r*q + d*q**2 and give d.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 4 (b) 2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j - 7. Let z(k) = k**2 - 6*k - 3. Let f be z(j). Suppose -f*n = -2*n - 62. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 1 + 10*x**2 - 25*x**2 + x - 3*x**3 + 13*x**2 in the form w*x**3 + h + u*x**2 + v*x and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + 5 + sqrt(17)*2 + -5)**2.\nAnswer: 20*sqrt(17) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - (1 - (-13 - -32))) + 15\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - 42.6. Let g = -8.6 - f. Which is the second biggest value? (a) -2\/3 (b) g (c) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ollo when four letters picked without replacement from {l: 6, o: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 292681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*20\/30. Which is the nearest to x? (a) 0.3 (b) 0.06 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iis?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -82 and 0.2?\nAnswer: 82.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**4\/24 + 11*j**3\/6 + 8*j**2. What is u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 919 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.52 + -0.12. Let k = 38 - -55. Let g = k + -92.8. What is the nearest to g in 4, -9, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -38. Suppose 5*h - h = y. Let f = h - -25. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*t + 2*n = 162*t + 82, -5*t = 77*n - 3567 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 220*u**3 + 4*u + 7*u + 216*u**3 + 0*u**4 + u**4 to o*u**3 + i*u + h*u**2 + v + p*u**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1624732.641 seconds?\nAnswer: 2.6863965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3, -18, 0.637?\nAnswer: 0.637","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 3 - (-11 + -34 + (-28 - -4))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3354?\nAnswer: 2, 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*q - 30, -2*q + 22 = -f + 6. Suppose -26 = -2*i + 4*h, -4*h + q = 3*i - i. Suppose -3*z + 6 = -i. Which is greater: 1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1958, 19, 2, 1 in increasing order.\nAnswer: -1958, -1, 1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(4\/7)\/t**(-20))**14 assuming t is positive.\nAnswer: t**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from {o: 4, i: 1, d: 1, v: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + 7*c. Calculate j(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1078 - 1078 - 2*c**2. Let f(q) = 0*q - 2*q**2 + 0*q. What is f(t(p))?\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:07 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -25, 120, -1, -2, 16, 8 in decreasing order.\nAnswer: 120, 16, 8, -1, -2, -21, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3780)\/(-1456))\/(-15)*(8\/3 + 0). Sort 0.4, 5, -2\/3, h in ascending order.\nAnswer: -2\/3, h, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, -5.899, -3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 645284607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:52 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n + 9 = 0. Put 2, n, -5 in decreasing order.\nAnswer: 2, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Solve -a*r = r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d**3 + 5*d**2 - 43*d**3 + 5*d**2 - 13*d**2 - 14*d**3 as f*d**3 + x + p*d + y*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -1 - (17 + (18 - 101) - -34)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1058*p**3 - 1252088*p**2 + 1252096*p**2 + 1231*p**3 as u + f*p + s*p**3 + t*p**2 and give s.\nAnswer: 2289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 38*x - 475 = 0. Let k(z) = x + 7 + 26*z - 26. What is k(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -9 + 7. Suppose 192 = o*w + 10*w. Suppose 2*d + 34 = l + d, -l = 5*d - w. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 48 = -4*h. Suppose h*n = -4*y + 92, -5*y = 2*n - 0*y - 95. Let r be 27\/12 + (-2)\/8. Solve -5*c + 5 = 4*q, r*q - 5*c + n = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26855, 26906, 26957, 27008?\n\"Answer: 51*l + 26804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42380 and 325348?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -222*l**2 - 2204*l - 90. Give w(-10).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 b when four letters picked without replacement from jwwjb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**26*o)*o*o\/(o\/o**(3\/7))*(o*o\/(o**(-37)\/o))\/(o**17\/o))**(-5\/9) assuming o is positive.\nAnswer: o**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*s = -107, -u - 37 + 2 = 2*s. Let h = 1 - u. Let q(n) = n**2 + n - 1. Calculate the remainder when h is divided by q(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 235*n - 332. What is the hundreds digit of c(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -9 - 8*t**2 + 6*t**2 + t + t - 9*t**2. Let o(l) = 7*l**3 - l**2 + 1. Let v be o(1). Let p(j) = -5*j**2 + j - 4. Give v*p(r) - 3*u(r).\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2295, 4014, 14529, 29250, 48177, 71310, 98649?\nAnswer: 130194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125 + -119. What is the remainder when 15 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 11:05 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5572608 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 2 (b) 2\/7 (c) -1\/9 (d) -2\/3 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1473 - -1498. Solve -42 = y*d - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3 + 14652*q**2 + 117072*q + 234048 = 0. Calculate q.\nAnswer: -4876, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -458957.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*o - 3*o - 13, -g + 2*o = -4. Let f(y) = 2*y**2 + 6*y + 4. Let b be f(-4). Let v = b + -13. Sort g, v, -4 in increasing order.\nAnswer: -4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 18*v = -15. Find the common denominator of (0 - v) + 91\/(-2) and -21\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 1 + 1)*(-4 - 20 - 29 + 9 + (10 + 6 + 2)*(1 - 1 + 2)) in the form z*w + g and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/((-10)\/100*-15). Let q(m) = m - 6. Let d be q(9). Suppose -23 = -5*n - v - p*v, -n - v = -d. Solve g + 2*r = 6*r, -2*g + r = n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -981 - -981. Solve -14*l + 18*l + 12 = o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4100 a factor of 710951546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*(-180)\/(-96)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - 97*j**2 - 466*j + 334. What is v(-7)?\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 39*q - 51 = 0. Let h be (17\/(q\/(-100)))\/(1\/72). What is h rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 14*y - 11. Let z(p) = -31*p + 18. Let c(v) = 13*r(v) + 6*z(v). Determine c(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 39*m - 2*t - 2*t = -8 - 8, 0 = -3*m + 23*t - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 581, 541, 475, 383, 265?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 4*v + 4. Let x be s(4). Suppose i = -i - x*f + 20, -4*i = 5*f - 43. Solve 4*b = -4*g - i, -2*b + 3*g = -16 + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1, -3\/2, 148?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 26*u - 7. Is 13 a factor of r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {f: 1, n: 5, t: 3, k: 1, l: 1, w: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z = -4*h - 9*z + 208649, 0 = -z + 1. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 33 - 63 + 99*x**2 + 30 in the form z + s*x**2 + f*x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-22) - (-25 - (-3058)\/121))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -108*t + 33766. Calculate x(313).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 133\/28 - 3\/(-12). Let n be (1\/1)\/(1\/6). Let w = n + l. What is the remainder when 30 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.66 in 2\/5, 1737, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 876980687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-187)\/11 + 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354003 (base 6) in base 14?\nAnswer: b271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4933 + 2454. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**9)*y)**(9\/5)\/(y*y*y**(-20))**(-9\/5) assuming y is positive.\nAnswer: y**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/(-10))\/(-8))\/((-1)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2614408 rounded to four dps?\nAnswer: -0.2614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 2*k + 59. Let y(g) = -g**2 + 27*g + 7. Let b be y(22). Let a = k + b. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -102, -155, -208, -261?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 234*b**2 - 470*b - 590. Calculate h(236).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -10*h + 376. Suppose 4*t - 236 = -t - 2*m, 3*m = t - 54. Is h >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4*88\/2. Let b(j) = -85*j**2 + 1587*j + 8. Let q be b(18). What is the highest common divisor of d and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 - -10 - (-1 + 2\/15). Let n = -2 + 8. Let p = n - 6.02. Which is the biggest value? (a) x (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 51. Let r be 0 + 3\/m + 475\/3. Let d = 310 - r. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -484*u - 32 - 1217*u + 70 - 38 as p*u + z and give p.\nAnswer: -1701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*22273.\nAnswer: 22273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -21*a**3 + 27*a**2 + 741*a + 27. Let y(g) = -3*g**3 + 4*g**2 + 106*g + 4. Give 4*c(q) - 27*y(q).\nAnswer: -3*q**3 + 102*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 87 - 49 = 0. Suppose 3*j - n = 32. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 48*w + 66. What is the remainder when o(3) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306038000 rounded to the nearest one million?\nAnswer: 306000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 + -0.21. What is the second smallest value in 0.12, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17077, -4, -470 in decreasing order.\nAnswer: -4, -470, -17077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9170*o - 20 = 9190*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2090 and 12160?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/734379 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*n = -13. What is the remainder when 53 is divided by 0\/(-3) + (n - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*z + 1, 5*o - 13 = -3*z + 5. Suppose 2*s - 2872 = 5*h, 0 = o*s + 2*h - 3829 - 479. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a - 4078 + 4083 - 2*a)*(-1 - 2 + 4)*(2 - 2 + 2)*(0 + 0 - 2*a).\nAnswer: 68*a**2 - 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-2)\/3 + (-3)\/9). Factor -13*a - a**3 + 16*a - g*a**3 - 6*a**2 + 6.\nAnswer: -3*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f**3 + 8*f**2 + 4*f - 1. Let x(i) = -5*i**3 + 4*i**2 + 2*i - 1. Let t(c) = -3*j(c) + 7*x(c). Factor t(r).\nAnswer: -2*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 266, 272, 280, 290?\n\"Answer: v**2 + 3*v + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -1 + 8\/9*d**3 + 5\/3*d**2 + 2\/3*d. Factor q(m).\nAnswer: 2*(m + 1)*(4*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 4:32 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-2)\/(-4))*2. Let z(f) = -f**3 + 6*f**2 - 2*f - 11. Let w be z(u). Suppose 3*c + 0*b + 2 = -w*b, -2*b - 12 = -4*c. Solve c*h = h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h = -13*r + 10*h + 73, 0 = r - 2*h + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -372\/905 - -2\/181. Is -76 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b + 19. Let x be a(-7). Let v(t) = -t**3 - 8*t**2 + 12*t + 6. Let q be v(-9). Let p = x + q. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 4, g: 2, r: 1}. What is prob of sequence vgvr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 4. Suppose o = -4*t - 0*t + 11, -2*o = -4*t + 2. Let a be g(t). Put 0, -4, a in decreasing order.\nAnswer: 0, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + 92. Let c be (908\/h)\/((-3)\/(-9)). Let y = c - 17. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -172278 divided by -5\nAnswer: 172278\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-13\/4)\/x**(-2\/9)*x**(3\/4)\/x**(2\/3) assuming x is positive.\nAnswer: x**(-53\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(-1*1*sqrt(171) - sqrt(171))*5)\/(3*2*-1*sqrt(1089)).\nAnswer: 50*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**2 + 12*d + 30. Let v be o(-2). Is v bigger than -147\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.48 + -0.2. Let l = u - 0.85. Let q = l + -0.03. Sort -1\/9, 1\/5, q.\nAnswer: -1\/9, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 789585 and 54?\nAnswer: 14212530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 3*s**2 - 3*s - 3. Let h be j(4). Let g(t) = 3*t - 4. What is the remainder when g(3) is divided by 3 - ((1 - h) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zty when three letters picked without replacement from yyyttzzt?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -972*a**2. Let d(o) = -67*o**2. Give -72*d(t) + 5*p(t).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -21 + 56 - 19 + j**2 - 23 + 3*j. Give d(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*d**3\/5 - 4863*d**2\/5 + 6318*d\/5 = 0. What is d?\nAnswer: -81, 0, 78\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 20 = 3*h. Let s(k) = -4*k. Let l be s(-9). Suppose u - 4*c = 2*u - 16, 4*u + l = 4*c. Sort h, u, 1 in decreasing order.\nAnswer: h, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 51 - 32 + 8. Determine o(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -4*p + 5*s + 50, 2*p - 39 = -3*s. Suppose x = -2*b + 9, -b + 4*x = -p + 3. Let t be 52194\/b - (-1 + 0). Round t to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 13*t**2 - t - 11. Let s(n) = -n**3 + 2*n**2 - 1. What is m(w) - 6*s(w)?\nAnswer: 4*w**3 + w**2 - w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.279, -0.11 in descending order.\nAnswer: 0.279, -0.11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -5, -25, -47?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 11*u. Let x be c(11). Suppose x = 3*k + 31 - 136. Is 3423\/k + 4\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2731\/4 - -688. Let h = 70852 + -466297\/6. Let i = -6844 - h. Calculate the common denominator of i and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 + 1066 = -18*z - 61*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**2 - l**2 - l**2)*(-4*l + 8*l + 0*l) - 449533*l**2 + 5511*l**3 + 449533*l**2 in the form n*l**3 + m*l**2 + s*l + r and give n.\nAnswer: 5503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/10 and 139\/910.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68 and 14036?\nAnswer: 238612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 5*x + 1. Let s(j) = -24*j. Let i be s(-1). Suppose -f + 0 = -i. Let b be 4\/(-14) + f\/(-14). Calculate u(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**3\/2 - 41*d**2\/2 + 90*d = 0.\nAnswer: 0, 5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/1229 - 13573\/22122. Let f = -18\/1787 - 196161\/218014. Let p = 1483\/549 - f. What is the common denominator of p and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 120 = -2*f. Suppose -f = -4*y + u + u, 3*y + u = 13. Suppose -7 = 6*b - 43. Solve 3 = 3*m + 2*q, -b = -y*m + 4*q - 23 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63372 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 726 - 726.2. Let j = 2 + -23. Let b be 36\/j + 1*2. What is the nearest to b in i, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -743\/21 - -107\/3. Suppose -h + 1 = o - 0*h, 5*o = 2*h - 9. Let f be 3\/6*o\/(-2). Which is the closest to d? (a) 0 (b) f (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 60*i + 9. Let v(d) = -3*d**2 - 125*d - 80. Let j be v(-41). Let h be b(j). Which is smaller: h or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*166432\nAnswer: -665728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 + -0.1. Let h = g + 0.24. Which is the closest to 0.1? (a) h (b) -5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3208366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/24 + 2*r**3 - 3*r**2\/2 - 3. Let h(l) be the second derivative of i(l). Suppose 16*g - 3*g - 78 = 0. Give h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -9, 84, -7, -3, -1454 in descending order.\nAnswer: 84, 5, -3, -5, -7, -9, -1454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**2 + 48*i - 80 = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(30\/704) + 9\/(-27). Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728*t - 3150 = -854*t. What is the remainder when 8565 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2. Let s(a) = -527*a - 15*a + 137*a. What is c(s(n))?\nAnswer: 164025*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*v - 1645 - 2017*v**2 + 21*v - 20*v - 6*v with respect to v.\nAnswer: -4034*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75081.27 millennia in centuries?\nAnswer: 750812.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + f + 12 = -4, 2*f = -h + 3. Let u be (81\/(-21) - -4)\/(1\/(-2)). Which is the closest to u? (a) h (b) -0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 1. Let w be a(-1). Solve w = -12*m + 7*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/10 or 4?\nAnswer: 27\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4697*z**5 + 5032*z.\nAnswer: -93940*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53112062*h**3 + 52665573*h**2?\nAnswer: 318672372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -881521 by 11.\nAnswer: -881521\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*g**3 - 1 + 1)*(-1 + 1 + 2*g) - 3*g**4 + g**4 + 4*g**4 to v*g**4 + a*g + l*g**3 + m*g**2 + z and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1770)\/(-15) + -14*(-3)\/(-6). Let a be 1\/2 - 73\/(-2). What is the greatest common divisor of c and a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 1. Let f(x) = -3*x**3 + 20*x**2 - 13*x - 42. Let m(v) = f(v) + 2*o(v). Let b be m(18). What is the greatest common divisor of b and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606943492?\nAnswer: 2, 53, 2862941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4708 divided by -3602\nAnswer: -2354\/1801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r + 9. Let k(a) = a + 1. Let n = -7 - -15. Let x = n + -22. Let g(o) = -2*o - 3. Let w(y) = x*k(y) - 6*g(y). What is -3*j(d) + 7*w(d)?\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24221 to 3 decimal places.\nAnswer: 0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2089 = 5*p - 1485, 4*p - 5*m - 2892 = 0. What are the prime factors of p?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 h when four letters picked without replacement from hrrrrrrrhrhr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25731908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295 + -170. What is the remainder when ((-4)\/(-10))\/((-1)\/(-2))*a is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from dfnffrdlffqnl.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -778*r**7\/35 + 4952*r**3\/3 + 2*r**2 - r - 121. Differentiate z(f) with respect to f.\nAnswer: -18672*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:21 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8)\/(106\/((-2478704)\/474))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -15 + 276\/18?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 639 = z + 4*b, -2600 = -4*z - b. Let n be (-11 - (-4 + -1))\/((-2)\/z). Let g = -1274 + n. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*y + 6*y + 21*y + 2*y**2.\nAnswer: 2*y**2 + 134*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 8. Let z be s + -4 + (0 - -4). Suppose 4*k = -1 + z. Solve 2*y = -3*u - 2*u, u + 12 = k*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -5, 1\/6, -1\/21, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*x + 404*x + 71 = 233 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - (-40 + (-2 + 5 - 5)) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -374.\nAnswer: -149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309, -305, -299, -291, -281, -269, -255?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 0*i + 34. Suppose 3*x + c = -3*c + 128, 3*x + 3*c - 123 = 0. Let d = x - i. Solve 0 = -d*t - 4*y - 26, -t + 0*y = -4*y - 11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5540 and 7?\nAnswer: 38780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5.6. Let m = -124 - -1112\/9. Which is the biggest value? (a) w (b) m (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1216? (a) 4 (b) -0.01 (c) 18 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*k**2 - 14*k**2 - 12*k**2 - 2*k**2 - 14*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603104 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 5*x**2 - 2247*x + 8968. Calculate q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, -3, 57, 2?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(7*o - 4*o - o) + (1 - 7 + 8)*(0*o + 3*o - 2*o) + 4*o - 4*o + o + 6*o - o - 3*o + (1 - 2 - 1)*(-2*o - 1 + 1) + o + 2*o - 4*o + o + o - 3*o.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 20 = -g, -6*g + g = -5*k. Suppose -3*t + 4*p = -p + 40, 2*t + 2*p = 0. Sort 0, t, g in descending order.\nAnswer: g, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -562438 (base 10) in base 4?\nAnswer: -2021110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 2*l + 1. Let i be q(1). Let y be (-440)\/(-15)*178287\/i. Let z = 4685124 - y. Round z to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Let k(x) = -2*x**2 - u - 42*x**3 + 4 + 37*x**3. Determine k(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23 (b) -0.2 (c) -3\/8 (d) -198\/5 (e) -7\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 144235531 (base 6) to base 12\nAnswer: 100bba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334931 is divided by 7603.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133772068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037586 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5816, -5812, -5790, -5738, -5644?\nAnswer: -5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118791, 237577, 356363, 475149, 593935?\nAnswer: 712721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.1. Let z be ((-20)\/(-5) + -5)*(-1)\/5. Suppose -5*g - 3 = -4*r, -4*g = -0*g - 4*r + 4. What is the nearest to z in 0.3, p, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*p + 13 = 0, 3*p - 319 = -155 - 149 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99721752931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1037\/5913 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -8344.\nAnswer: -17\/4172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(2\/13)\/l)\/l**(-1\/6))\/(l**7*l\/(l**1*l)))**(-14) assuming l is positive.\nAnswer: l**(3647\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1161 - -951. Let r(k) = -60*k - 5. Let z be r(-6). Let j = z + f. What is the highest common factor of 58 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (1 - 1) - -21. Suppose 4*r = -f + v, -2*f - 2*f - 3*r + 31 = 0. What is the second derivative of 6*a**4 + a**4 + 3*a - a**4 + f*a**4 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = 103*t + 280 - 2153 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**8\/312 + 19*j**7\/1365 + 2*j**6\/195 - 2*j**5\/195 - 5*j**2. Find q, given that h(q) = 0.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/35 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*o + 2, -4*p - 250*o + 13 = -251*o. Solve -p*l + 459 = 479 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 128 = 16. Suppose o + 2*s - 4 = -0*s, 0 = -3*o + 2*s + v. Find the second derivative of -7*m + m - 4*m + o*m**2 - 3*m**2 wrt m.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -68 - (-29 - -4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d + 7. Let a be s(-2). Let p(h) = 3*h**2 + h - 4. Let x(m) = 7*m**2 + m - 8. Let c(j) = 9*p(j) - 4*x(j). Calculate c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786948641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -36 + 33 + 20 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.4777 years to millennia.\nAnswer: 0.4904777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s - 2*s - 35*s + 5*s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 23*j + 626. Let i be b(-29). What is the greatest common factor of 450 and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21474 divided by 9?\nAnswer: 2386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1108289 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 5)*(369*g**2 + 375*g**2 - 2*g**4 - 748*g**2).\nAnswer: 4*g**4 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31 and ((-11)\/99)\/((-2)\/(-94)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -1. Let n = 1 + -4. Let d be 1 + (n - (0 + 0)). Are i and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 95\/3 - 32. Let k(t) = -t**2. Let n be k(-1). Which is the biggest value? (a) q (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -2*d**6 + d**5\/4 + 85*d**4\/6 - 145*d**3\/6 + 15*d**2 + 111*d + 3. Find j, given that f(j) = 0.\nAnswer: -2, 1\/3, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161417924.\nAnswer: 2, 17, 1459, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218825?\nAnswer: 5, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(7)*-2 + (sqrt(35)\/sqrt(5) - sqrt(7)) + 1 + sqrt(847) + (-1 + sqrt(847))**2 + (sqrt(21)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: -5*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 - 7. Let u(y) = 92*y**2. Determine x(u(r)).\nAnswer: 33856*r**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8990780 to the nearest integer?\nAnswer: 2998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**3 + 35*w**2 + 74*w - 7. What is d(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.173993777 - 0.274002677. Let r = l + -14.9. Round r to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6143933?\nAnswer: 1123, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - e91?\nAnswer: -e87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1294.661 to the nearest integer.\nAnswer: -1295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -852, -3482, -7894, -14088, -22064?\n\"Answer: -891*g**2 + 43*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**8*q\/((q\/(q**(-2\/3)\/q)*q*q)\/q)*(q\/(q**6\/q))\/q**(-1\/2))\/((q**(2\/9))**(-2\/21)*(q**1*q)\/q*q*q**(-5)) assuming q is positive.\nAnswer: q**(-3457\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.7 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*t**2*v**3 - 1039*t**2*v + 1081453*v**3 + 2990*v wrt v.\nAnswer: -30*t**2*v + 6488718*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 35 = 163*p - 168*p, 3*r - 5*p = -4 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749292*r - 3060 = -749241*r for r.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, q: 5}. Give prob of sequence qqjj.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5 + (sqrt(891) + 0)*5 + -4 + 1 + sqrt(891) - (2 + ((sqrt(891) - (1 + sqrt(891)))*5 - -1*sqrt(891)*1))))**2.\nAnswer: 360*sqrt(11) + 22291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/11 + -1\/11. Let i = 167 + -166.5. Sort d, i, 1\/3.\nAnswer: d, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*z**4 - 205*z**3 - 275*z**2 = 0. What is z?\nAnswer: -1, 0, 55\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.9502 - 689.5798. Round h to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.8 - 9. What is the smallest value in -0.4, j, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qof when three letters picked without replacement from {f: 1, d: 2, r: 1, c: 3, q: 1, o: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 - 0 - (-2 - 2 - (-41 + 33 + 4)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -93. Let r = -1 + 5. Suppose r*h = -5*u + f - 1, 4*u = 4*h + 44. Let z(o) = o**3 + 6*o**2 - 2*o - 3. Give z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000168430776 to seven decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65510239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 802 + 1973. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 + (-16)\/7. Let w = -30.2 - -28. Let j = -1.2 - w. Which is the nearest to 0? (a) j (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 r when three letters picked without replacement from {v: 12, h: 1, r: 7}.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*v + 3*r, -3*r - 28 = 5*v - 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 897\/(-81) - (50\/30)\/((-440)\/2904)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3620 by 38.\nAnswer: 1810\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwu when three letters picked without replacement from wuwwwwuuwu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Let r(x) be the third derivative of x**4\/6 - x**3\/6 + 3*x**2. Give r(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 6*h - 150. Let l = -48 - h. Let p(b) = -3*b**l - b - 6*b + 4*b**2 + 0 + 9. Give p(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 36, -303, -876, -1677, -2700?\nAnswer: -3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -12*a + 97. What is the common denominator of (55\/(-2))\/(110 - (a + -16)) and -39\/8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -811300 <= -811299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Let i = 1 - 5. What is the nearest to h in i, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21272050.\nAnswer: 2, 5, 425441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12415 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 + 5*t**2 + 2*t. Let w = 496 - 538. Let z be 231\/w - 1\/(-2). Let m(i) = -3*i**3 + 3*i**2 + i. Give z*g(d) + 8*m(d).\nAnswer: d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 126184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*c**3 + (4 - 4 + c)*(6*c**2 + 5 - 5).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36848524651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 366252 divided by 5\nAnswer: 366252\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 1. Let p(r) = 4*r - 26. Let d(w) = -5*l(w) + p(w). Let v be d(-15). What is the remainder when 792\/20 - v\/(-10) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -327498760 - 0.01739\nAnswer: -327498760.01739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*f = 1346*f + 56520 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.19 + -0.21. Put g, 3, 0.5 in ascending order.\nAnswer: g, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**3*p))**(2\/107)\/(p*p\/((p\/(p**2\/p))\/p*p)*p\/(p\/p**(-1\/9))) assuming p is positive.\nAnswer: p**(-1783\/963)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 192 = -172 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22062080.\nAnswer: 2, 5, 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/182 and -77\/118.\nAnswer: 10738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044451005 to the power of 1\/2, to the nearest integer?\nAnswer: 45216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.01\nAnswer: -0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.386134 - -0.388. Round w to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.319601 decades to centuries.\nAnswer: 0.8319601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72901, -144907, -216927, -288967, -361033?\n\"Answer: -p**3 - p**2 - 71996*p - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 - 333?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 638283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -192 - 7*t - 28 + 13*t**2 - 27*t**2 + 20 + 12*t**2 in the form d*t + a*t**2 + q and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 111*n**2 - 1275*n - 2111. What is w(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:16 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32121661 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 21 = -76*h. Which is smaller: h or 4624?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17*18\/1224)\/((-1)\/52)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -2 (b) -1 (c) 0 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 5 (c) 3 (d) 11 (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 16*y + 145. Let f = 99 + -79. What is the smallest common multiple of m(19) and f?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1, -2*o + 3*l - 11 - 62 = 0. Let w be (-3)\/3 + (-56)\/o. What is the closest to -0.2 in -0.3, w, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-1350)*25*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 11*q = 23*q, -5*q - 4 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y - 14*y - 5*y)*(-13*y + 4*y - 47*y - 21) to l + v*y + h*y**2 and give v.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/57 and (-1251)\/756 + (60\/(-21))\/(-5).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 0 + (sqrt(1088) - (1 + sqrt(1088))) + sqrt(1088) - sqrt(1088)*2*6 - 1*(sqrt(1088) + -2)*-3)**2.\nAnswer: 784*sqrt(17) + 53361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 90, 136, 194, 270, 370, 500?\n\"Answer: f**3 + 39*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-769)\/(-1) + 7 + -1?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*x**3 - 120320*x**2 - 96304*x - 19264 = 0. What is x?\nAnswer: -2\/5, 1204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315*s - 306*s = 153. Solve 2*i = 5*c + 1, -5*i + 22*c = s*c + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(704) + -1 - (sqrt(704) + (sqrt(704) - (sqrt(704) - -3*(-1 + sqrt(704)))))) + 5.\nAnswer: -5 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 355 - 344. Let j = -714 - -308. Is (f\/(-11))\/(2\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w + 9. Let o(j) = -15*j + 19. Calculate -13*l(r) + 6*o(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/68658 and -51\/45772.\nAnswer: 137316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/16*(-2)\/(-1). Suppose d + 6 = -5*h, 0*d - 4*d - l*h = 24. Let u = d - -7. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 23 + 13. Let j(g) = -9*g - 10. Let a(u) = 5*u + 5. Let f(n) = -7*a(n) - 4*j(n). Is f(k) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*z - 96 = 0, -z = 13*w + w + 21235 - 21182 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 0.5, -5\/6, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -7. Let g(p) = -p**2 - 17*p - 14. Let o be g(z). Which is the nearest to 2\/5? (a) o (b) 3 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 323, -3, 41, 5, 4 in descending order.\nAnswer: 323, 41, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 + 1 - 1 + (6*o**2 - 4*o**2 + 4*o**2)*(2*o**3 + 1 - 1) + (-5 + o + 12 - 4*o)*(-6*o**4 + 4*o**4 + 4*o**4).\nAnswer: 4*o**5 + 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260314?\nAnswer: 2, 23, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19237 - -19236.7. What is the closest to f in -2\/7, 0.2, -0.086, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32*-0.075.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471.\nAnswer: 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**5\/60 + a**3\/2 - a**2 + 3*a. Let d(u) be the first derivative of p(u). Differentiate d(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*42 - (-1)\/2*(-19 + 157 + -138).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1100 + -712. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237231771?\nAnswer: 3, 7, 1327, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(-34)*(c**(-3)*c*c)**(-15) assuming c is positive.\nAnswer: c**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, h: 14}. What is prob of picking 2 h and 1 p?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 3980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9205.\nAnswer: 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32698 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/57 and 77\/102.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, -24, -433, -1076, -2001, -3256, -4889, -6948?\nAnswer: -9481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 411472637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 398264641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4 + 2 + 5 + 0 - 2. Let c(f) = 2*f - 2. What is -4*b(p) - c(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -374, -850, -1516, -2372?\nAnswer: -3418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.057 - -52.943. Let i = 32 - d. Let n = 26.5 + i. Round n to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1326961.49 to the nearest ten thousand.\nAnswer: 1330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953, 1706, 2459?\nAnswer: 3212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -331 - -342. Find the second derivative of 42*r**5 + 5*r + 13 + 17*r**3 + n*r**5 - 30*r**3 + 13*r**3 wrt r.\nAnswer: 1060*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3 - 1 = 0. Let u(q) = q + 5*q + 33*q**2 - 32*q**2 + b. Is u(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160 - 136 - (8 - (-4 - (3 + -4))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 4*h = 40. Which is the nearest to -3? (a) -3\/2 (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 24270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-12))\/((-2)\/20). Let b = -3\/34 - 25\/102. Sort w, 0.09, 0, b in descending order.\nAnswer: 0.09, 0, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 + -6. Let i = -0.9 + o. Let d = -2.79869 - i. What is d rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*y - 788 = 0, 3*q + 5*y - 3*y - 589 = 0. Calculate the lowest common multiple of q and 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 - 15947*k**2 - 31901*k\/2 + 95685.\nAnswer: (k - 31895)*(k - 2)*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p*p*p*p*p\/(((p**(-15)*p)\/p)\/p)*p)**(-32) assuming p is positive.\nAnswer: p**(-768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 799515 by 545.\nAnswer: 1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-3 - (-12 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082.3248 plus 0.28?\nAnswer: -1082.0448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 19 - 9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10438, -20915, -31392, -41869, -52346?\n\"Answer: -10477*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2275 divided by -65\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99968229 - -5114979.\nAnswer: -94853250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 - -992\/5. Are n and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + f + 10, -10 = -f - 4*f. Let m(g) be the first derivative of 2*g**2 - 5*g - 1. What is the tens digit of m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46652\/2033 + 3\/57. Solve -29*i = f*i + 468 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 24. Let c be u(-24). Suppose c = -2*p + 2*w + 484, 3 = w - 0. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, k: 10, r: 3, p: 2}. What is prob of sequence pu?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-3)\/24)\/(12\/72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2\/7, 7, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14755*z**3 - 59172*z.\nAnswer: -88530*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13574 and 2354?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.149 - -10.149. What is the nearest to 3 in o, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/18*(-12)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 15 = 5*p, p = 2*p - 3*m + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/60 - x**4\/12 - 7*x**3\/6 - 10489*x**2. Let h be (3\/(-1))\/((-15)\/20). What is u(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/12*8)\/(((2254\/(-42))\/(-7))\/6)?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 1. Let t(w) = 3*w - 9. Let s(g) = -5*g + 13. Let d(l) = -5*s(l) - 7*t(l). Calculate the remainder when d(4) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 246 - 250. Sort -1, -77, d in decreasing order.\nAnswer: -1, d, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 88*w + 87*w - 1 - 174*w. Let o(d) be the third derivative of d**5\/30 - 5*d**4\/24 + 5*d**3\/6 + 156*d**2. What is -15*l(x) - 3*o(x)?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14*l + 6. Suppose 5*i = -10 - 0. Calculate d(i).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634 (base 10) in base 12?\nAnswer: -44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 19*g = 80 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2252.5 + -2249. What is the nearest to 0.2 in -0.03, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -73, -196, -377?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62, 212, 474, 860, 1382?\n\"Answer: 2*f**3 + 44*f**2 + 4*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 + y - 2. Let k be g(1). Which is the biggest value? (a) k (b) 1\/4 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*n + 398 - 379, -n + 9 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 240.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2183*q**2 - 3*q + 162?\nAnswer: -4366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 8. Let a(o) = -34*o - 85. Let p(j) = -7*j - 17. Let v(z) = 2*a(z) - 11*p(z). What is 13*c(n) + 6*v(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -209955*j + 209989. What is u(1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -55. Let s = u + 585\/11. Let l = 0.021 + -0.921. Which is the smallest value? (a) l (b) s (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1946*n + 36040 = 1045*n for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -836 + 36 - 35*l**2 - 408*l + 31*l**2.\nAnswer: -4*(l + 2)*(l + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pd when two letters picked without replacement from {u: 6, p: 8, d: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319 divided by -9.\nAnswer: 319\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 3, j: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - (2 - (1 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 6*y**2 - 3*y - 7. Let h be l(-6). Let r be ((-1)\/19)\/(h\/(-33)). Let g = -0.2583 - -0.1583. What is the second biggest value in g, r, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -551*r + 2. Let y(d) = d**3 - 12*d**2 - 12*d - 11. Let u be y(13). Let v be n(u). Round v to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d. Let l(g) = 2*g**2 + 3555822. Determine f(l(a)).\nAnswer: -14*a**2 - 24890754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14589 is divided by 3414?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 + 4*x + 5. Let l be u(-4). Let b(r) = -12*r - 38. Let m be b(l). Let a = m - 77. Calculate the remainder when 50 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 7*j - j + (-5 + 8 + 6 - 1 + 2 + 0 + (-2 - 1 + 5)*(3 + 2 - 3) + 5 - 6 + 6)*(-j - j - 2*j + 2)*(2 + 3 + 3).\nAnswer: -600*j + 304","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((440\/7)\/(-22))\/(4\/14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8400 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-7)\/74)\/(-7)). Let i = o + -27. Suppose -6*l = -7*l + i. Calculate the common denominator of l and -20\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 2. Let u be g(-2). Let l = -0.1 + 0. Let s = -1414\/5 + 282. Which is the nearest to l? (a) s (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weie when four letters picked without replacement from eeiieweweiewewee.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -5\/3 in ascending order.\nAnswer: -3, -5\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 97*p**2 + 7*p - 2. Let q(n) = 97*n**2 + 6*n - 2. Let d(i) = 5*q(i) - 4*y(i). Calculate the remainder when d(-1) is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a week?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-424)\/(-84))\/((-39)\/(-273))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 95*m. Let d(p) = 10829*p. What is 455*a(f) - 4*d(f)?\nAnswer: -91*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**5 + 3*q**3 - 3*q**3 + (-q**5 + 5*q**5 - 5*q**5)*(30 - 3 + 7).\nAnswer: -36*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -50. Solve -j*w = -0*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (682\/(-66))\/((-2)\/(-78)). Let k = o - -629. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 944 and 15753.\nAnswer: 252048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = t - 0*t - 5, -4*q = 3*t - 15. Suppose -r + 3*r - 3254 = q. Suppose 0 = 4*s + 71973 + r. Round s to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + (1 - -1) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(720) + sqrt(720) + -1 + sqrt(720))*-4)**2.\nAnswer: 1152*sqrt(5) + 103696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15893\/8 - 1980. What is the common denominator of 65\/16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53 or 22?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2. Let w = 471 - 475. Let o(u) = -45*u**2 + 2*u. Let g(n) = -42*n**2 + 2*n. Let r(c) = w*g(c) + 3*o(c). Determine r(j(t)).\nAnswer: 33*t**4 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.614886cm?\nAnswer: 0.00004614886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93522 and 87984.\nAnswer: 105492816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 13*a**2 + 15*a + 49. What is h(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 15\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10*u\/(u\/(((u\/(u\/(u*u**(-6))))\/u)\/u)) assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**3\/6 + 8*j**2. Let c(t) = t - 2. Let d(h) = 2*c(h) - 5*p(h). What is d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -14 (b) 1 (c) 0.5 (d) -0.5 (e) -0.23 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -510 (c) -1143.3 (d) 9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*u = -s - 552*u - 8, 3*u = -18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7814 and -31218.\nAnswer: -243937452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 3*j - 2. Let d = 13 - j. Let r = d + -29. Solve 0 = -4*z + r*c + 22, -5*z + 4*c = -10*z - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -291*c - 139. Calculate l(-1).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -16022.\nAnswer: -5\/16022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1145011 (base 6) to base 9.\nAnswer: 102237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -h**10\/37800 - h**6\/60 + h**5\/4 - 23*h**2. Let z(u) be the third derivative of a(u). Differentiate z(r) wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let m(y) = -y**2 - y. Let n(o) = o**2 + 2*o. Let c(a) = z*n(a) - 2*m(a). Let l(h) be the second derivative of h**3\/3 + 2*h. Give c(l(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96947*p**5*w + 7952*p**2*w + 2*p**2 wrt p.\nAnswer: -5816820*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 5 + g**2 + g**2 - g**3 + g**3 in the form l*g + n + c*g**3 + p*g**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 51*r**2 - 11*r - 8. Let s be o(6). Let y = -1073 + s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12917b5 (base 12) to base 5.\nAnswer: 1420020040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 6 = 5*f - 9*f - 4*o - 6*o, 4*o + 52 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnt when three letters picked without replacement from nttntngnggn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58177456 or 58177455?\nAnswer: 58177455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13008800 + -3?\nAnswer: -13008803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523598377?\nAnswer: 47, 373, 29867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 10*z + 2)*(-4 + 4 + 4*z**3) + 3*z**4 - 3*z**4 - 3*z**4 - 3*z**4 + 26*z**4 - 14*z**4 to o*z**2 + m*z**3 + j + n*z + u*z**4 and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -b32?\nAnswer: -b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/7))\/v**16)\/((v\/v**17)\/v**7) assuming v is positive.\nAnswer: v**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -442 + 652. Find the third derivative of -2*s**3 + 567 - 551 - d*s**4 + s**2 + 54*s**4 wrt s.\nAnswer: -3744*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/43 and -31\/11266?\nAnswer: 11266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -54028000 to the nearest 1000000.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmuumremummvujj. What is prob of sequence uvuj?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.3673507 and -4.\nAnswer: 77.4694028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:26 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.12?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ff5 - -ce?\nAnswer: 10c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*d**2 + 37782170*b**3*s - b**2*d**2*s - 6*b**2*d + 101*b*d**2*s + 5*d**2 - 8*d*s wrt b.\nAnswer: -6*d**2 + 226693020*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(5\/(-120)*-3). Let c be -120*(-5)\/(100\/(-8)). Let i = w + c. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 834 + -1392. Let k = i + 877. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 18. Suppose 7*x + s = 9*x. Solve 3*o + x = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -3 + (2 - 1). What is the second derivative of -13*y**4 + 14*y + 16*y**x + 13*y**4 wrt y?\nAnswer: 320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*j - 27*l + 29*l = -473, -j + 5*l - 58 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.062 and -3?\nAnswer: -0.186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9871, 9857, 9827, 9775, 9695?\n\"Answer: -a**3 - 2*a**2 - a + 9875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 83, 3, 0.2, -178, 11\/2.\nAnswer: -178, -4, 0.2, 3, 11\/2, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 8*r - 1)*(-r**4 - 3*r**4 - r**4 + (-2*r**2 + r**2 + 0*r**2)*(2*r - 2*r - r**2)).\nAnswer: -32*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -349603*o - 19228178. What is p(-55)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.03, -1\/9, 4496?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 951 a factor of 35679618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*x = -119, -4*y + 527 = 4*x - 5*x. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 8*o - 7. Let z(j) be the third derivative of 0*j + 0 - 4*j**2 - 1\/6*j**3 - 1\/24*j**4. What is -2*c(q) + 14*z(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 8*p**2 + 2*p - 8. Let d be x(8). Suppose -j + d = -3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 23*y + 15*y + 1872, 372 = j + 2*y. What is the second smallest value in j, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 16. Solve -8 = g*n - 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*15*(-1)\/(-6). What are the prime factors of 3\/(15\/2)*z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209573?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 + 0*s - 3*s + s + (-5*s + 2*s + 4*s)*(22*s - 151 + 151).\nAnswer: 20*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) 2\/67 (c) 0.2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r - 6*r - 6*r + 10*r + 4*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Suppose -16*v + 59 = -37. Let h(u) = -u**2 + 8*u - 5. Calculate v*n(f) - h(f).\nAnswer: f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {a: 2, b: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.072, 1\/11, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.007 (b) 1\/124 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0*j + 3*j)*(-2*j**2 - 3*j**2 + 3*j**2) + (4*j**2 - 7 + 7)*(14*j - 2*j + 8*j) to the form c*j**3 + i*j + d + y*j**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-195) + -1 + (-112)\/60.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*1\/(-1) + -3. Let d(y) = 27542 - 4*y - 27540 - y. Calculate d(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 427252.\nAnswer: 4699772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide (346655\/(-380))\/(2\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**22\/(b**(-30)*b) assuming b is positive.\nAnswer: b**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 54 - 14*y + 69 - 43 wrt y?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18741920.46 + -378064.46. Let l = 18363856.13000009 - i. Let q = l - 0.13. What is q rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 3*x**2 - x + 3*x**3 + 7*x**3 - 11*x**3 + 3*x**3 as u*x**3 + p + k*x**2 + h*x and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 517, 0.3, -0.11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*d + 11*d**5 + 13*d**4 - 13*d**4 wrt d?\nAnswer: 220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 9191273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2573 times -52?\nAnswer: -133796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -325351 (base 6) to base 11\nAnswer: -19432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 207 = -13*p, 2*j - 21*p = 2243 - 2550 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 3 = 3*z + 4*l, -z - 4*l - 15 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:28 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -2 + (327 - 248) + 0?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2190, 8632, 19368, 34398, 53722?\nAnswer: 77340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122265331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 48*l = 2*a + 28, l - 10 = 3*a. Solve l = 20*n - 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -6 - (-3 + 2)\/((-6)\/(-5670)) and 27?\nAnswer: 8451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/5 (b) 0.03 (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.88 - 41. What is u rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**5\/(p**(-2\/7)\/p)*p\/p**(-5\/3)*p**(1\/10)*(p**7\/(p**(-1\/5)\/p))\/(p**(-5)*(p\/(p*p\/p**(-5)))\/p) assuming p is positive.\nAnswer: p**(6143\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.2 + -7.7. What is the closest to 0.2 in z, 2, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 11*g + 18. Let u = -133 - -121. Let x be m(u). Does 31 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a tonne in kilograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**4 + 5000*g**3 + 59460*g**2 + 178000*g + 158080 = 0. Calculate g.\nAnswer: -988, -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-66)\/88)\/(6\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/9)\/(w*(w\/(w**(-1\/8)*w))\/w*w*w)*w\/w**(-2\/7)*w\/w**(-1\/6)*(((w*w**(1\/4))\/w)**(-2\/9))**(-46) assuming w is positive.\nAnswer: w**(1229\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853333 (base 13) to base 6.\nAnswer: 442200042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -3) + -13 + 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3153946*x**4 + 3069151*x?\nAnswer: 37847352*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(-104))\/(2696\/(-272) - -10).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -48*t + 3938. Let a be y(81). Solve 0 = -163*s + 138*s + a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 20 = -24*x - h, -x = -3*h + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*w - 127 = -2*h, 195 = 5*h + w. Let b = -39 - -381. Calculate the highest common divisor of b and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**3 - 14*w**2 + 3*w - 18. What are the prime factors of p(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 198528, 396874, 595220?\n\"Answer: 198346*y + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/((-18)\/(-489)))\/1. Let f = o + 169. Let i(d) = -d**3 + 5*d**2 + 5*d - 3. Give i(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 1.2\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 478456.8l in millilitres?\nAnswer: 478456800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83280 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: Convert -10110011 (base 2) to base 9.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0775? (a) 1\/12 (b) -1 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - w**2. Let z(n) = 41*n**3 - 3*n**2 + 6. Let t(l) = -6*y(l) + 3*z(l). What is the third derivative of t(j) wrt j?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3188920 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.243 - -0.643. Which is the nearest to -0.1? (a) -1\/7 (b) g (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**4\/12 - 5*f**3\/6 - 2*f**2 + 8*f. What is c in q(c) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3477, 2592, 1117, -948, -3603, -6848, -10683?\n\"Answer: -295*l**2 + 3772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1878 and -1?\nAnswer: 1878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -d + 75, -3*m + 19 = d - 59. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29830 and 10640.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 480\/3289 - -2\/253. Let j = 12 - 8. Suppose 0 = -a + j*a. Put a, 0.5, x in decreasing order.\nAnswer: 0.5, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-4)\/42 + (-47658872)\/(-2226)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/11 - 5*a**2\/11 = 0. Calculate a.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**2 - 5*w - 8. Let f(i) = -3*i - 9. Determine -5*f(u) + 9*g(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmv when three letters picked without replacement from {f: 11, v: 1, m: 2, q: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/11 + 14\/11*f + 2\/11*f**2.\nAnswer: 2*(f + 1)*(f + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(13))*1 - (2 + sqrt(1053)))**2.\nAnswer: -32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**5 + 147*m**4 - 2406*m**3 - 50502*m**2 + 477603*m - 925965 = 0.\nAnswer: -57, -19, 3, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1006\/9 in -1.6, 0, 34, -0.5, -0.4, -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4))**(-2\/129) assuming i is positive.\nAnswer: i**(8\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16507110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a. Suppose -3*c + a - 3 = 0. Let s = 5 + c. Solve -3*d + 5 = 2*y - 2, -4*y + 12 = s*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0.9. Let y = 0.8 - 1. Let o = y + 0.1. Do z and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + a. Let x(k) = -6*k**2 + k. Give 4*t(p) - x(p).\nAnswer: 2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-14))\/(2\/140). Suppose 5*o - n - 60 = 0. Suppose 2*t + 5 = -r + o, 3*t - 39 = -5*r. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*20\/12*3\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 80916102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/25 - 4*l**4 - 1036*l**3\/25 + 5296*l**2\/25 - 7074*l\/25 + 2916\/25 = 0.\nAnswer: -27, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x - 2*x + (0*x + 4*x - 2*x)*(1 + 3 - 3) + (-4 + 1 + 2)*(486*x - 623*x + 465*x).\nAnswer: -327*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -202 + 1\/3*z**3 + 144*z - 12*z**2. Let a(l) = 0. What is l?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*i**4*r + 75*i**3*r**2 - 345*i**2*r**2 - 2*i*r**2 - 2*r**2 wrt i.\nAnswer: -168*i*r + 450*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2268 = -13*x - x. What is the greatest common divisor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3178 and 4994?\nAnswer: 34958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*((-14 - 1 + 2)*(0 - m + 0) - 4*m + 4 - 4 - 3*m + m + 0*m + (-m + m + m)*(-3 + 3 + 1)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000522413 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156035437?\nAnswer: 379, 411703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.7 greater than or equal to -25959726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 281.38398 months in millennia?\nAnswer: 0.023448665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m. Suppose 43*u - 42*u - 2 = 0. Let l(s) be the second derivative of 4*s - 1\/3*s**4 + 0 + 0*s**u + 0*s**3. Give i(l(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5 - 1. Let z(j) = j**2 + 11*j + 6. Let r(o) = 3*o**2 + 23*o + 12. Let s(l) = v*r(l) + 5*z(l). What are the prime factors of s(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 506306 + 10505?\nAnswer: 517013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*r - 2*m, 4*r - m = 1 + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138358?\nAnswer: 2, 11, 19, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 216 = -54. Suppose -3*v + 2*v - 112 = -3*s, -2*v = 4*s - 136. Calculate the greatest common factor of s and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176243392.\nAnswer: 2, 13, 19, 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8128, 10384, 16684, 29050, 49504, 80068, 122764, 179614?\n\"Answer: 337*i**3 - 103*i + 7894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*t + 4, -2*t - 6 = -4*t + 3*f. Suppose -k + 5*k - 476 = t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 14*u + 18. Let k(i) = -4877 - 2*i**2 - i**2 - 4875 + 9752. Determine v(k(p)).\nAnswer: -42*p**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2. Let y(v) = -2*v - 796. Calculate y(x(t)).\nAnswer: 4*t**2 - 796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 14 = 2*l, l + 0*z - 5*z = 0. Let n(u) = -u**3 - 7*u**2 - 5*u + 6. Let d be n(-6). Suppose d = -9*i + 11*i - 2. Put i, l, -5 in decreasing order.\nAnswer: l, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/12*(-4 - -1). Suppose c*b - 95 = -b. Calculate the remainder when 73 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*t**2 + 227*t**2 + 229*t**2 - 669*t**2.\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 - 12 - (-2 + -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5153, -5162, -5169, -5174?\n\"Answer: w**2 - 12*w - 5142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (4*sqrt(78)\/sqrt(2))\/sqrt(3) + -5))**2 + -4.\nAnswer: -256*sqrt(13) + 1084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4075217 - -7?\nAnswer: -4075210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + c = 151, 0 = -2*v - c + 61 + 40. Suppose -6*q + q = -v. Let g be (-5)\/(q\/(-6)) + -1. Put -3, g, 0 in increasing order.\nAnswer: -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-60)*3*4\/(-7)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-2)\/(sqrt(36)\/sqrt(81)).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b, 3*o = 3*b - 73 + 199. Let w = o + -32. Suppose 0 = -0*c + w*c - 400. What is the highest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m + m - 11 - 2*m - m. What is u(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*j - j**3 + 2*j**3 + 0*j**3 to z*j**3 + b + n*j**2 + w*j and give w.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4827359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + (1*sqrt(275) - sqrt(275)) - sqrt(275))**2 - ((sqrt(44) + -1 + -5*sqrt(99))**2 + 3).\nAnswer: -1579 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/95 and 137\/180?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 4*z**2 - 3*z + 1. Let h be p(6). Let s = -225 - h. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjp when three letters picked without replacement from pkskjhi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 216832 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1180 - -1158.28. Let j = h - -22. Let x = j - -0.02. Sort x, 2\/7, 5 in descending order.\nAnswer: 5, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 i, and 1 a when four letters picked without replacement from labilmlil.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 + 0 = 30*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-14)\/(-140)*5 - 1230\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 2*l**2 + 2*l - l - 2*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:06 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1121 = -4*r + 771. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 820 or 0?\nAnswer: 820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 - 68 = -y, 37 = -2*l - y. Let d = -12 + -17. Let u = l - d. Calculate the remainder when 42 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 17 + 3 = 2*o, -4*l = o + 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**2 - 6*n. Let m(z) = -z**2 - z. Let j(f) = h(f) - 6*m(f). Suppose j(x) = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -187.0892 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 at most as big as 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3000 (base 5) to base 3\nAnswer: -111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6*u = 0. Suppose -2*s + 4*s + 374 = 2*f, u = 5*f - 4*s - 935. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*w**4 - 21*w**4 + 3*w**4 + 2*w**4 - w**4 - 3*w**4 + (12*w**3 - 74*w**3 - 6*w**3)*(w + 1 - 1) to b*w**3 + g*w**4 + z*w + n*w**2 + a and give g.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, e: 8, d: 4, s: 4}. What is prob of picking 2 e and 2 z?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 + -111. Solve 3*z = 5*j - w*z + 5, j - 3*z + 11 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -22 and -18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 4*v**8\/7 + 73*v**4\/12 - 87*v - 82. Let w(b) be the first derivative of q(b). Find the third derivative of w(y) wrt y.\nAnswer: 3840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 148*o**3 - 5*o - 64. Let y(s) = -21*s**3 + s - 2. Determine w(l) + 6*y(l).\nAnswer: 22*l**3 + l - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 648*c - 5339. Determine g(9).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(sqrt(70) + (sqrt(70) + sqrt(70)*-1 - sqrt(70) - sqrt(70)))*3)\/(sqrt(360) + -1*2*sqrt(360) + sqrt(360)*-2*-6).\nAnswer: -9*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/15)*p)\/p**22 assuming p is positive.\nAnswer: p**(-302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38287?\nAnswer: 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a**2. Let r(m) = -785462*m**2. Determine r(q(o)).\nAnswer: -78546200*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 315*f**4 + 19*f**3 + 7*f**2 + 129*f - 7400 wrt f?\nAnswer: 3780*f**2 + 114*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3434955*m**5 - 316197*m - 3?\nAnswer: 68699100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (560\/(-196))\/(48\/168).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 1275697492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.14 - 0.14. Let v = t + -8. Let f = -1 + 0.6. Which is the smallest value? (a) f (b) v (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 144*k + 18*k**2 - 4\/3*k**3 - 196. Solve a(v) = 0.\nAnswer: -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 2, e: 4, u: 6}. Give prob of picking 1 k and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/28 - ((-6)\/4)\/3. Find the first derivative of -2 + 0*f**2 - 7 + q - 17*f**2 wrt f.\nAnswer: -34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.138461l?\nAnswer: 5138.461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*k**4*m + 9*k**3*m + 2*k**2*m + 310*k*m + 5*m wrt k?\nAnswer: 384*k*m + 54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9632.196 hours?\nAnswer: 34675905600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 - 7 = 3*t, 25 = 5*s. Let c(h) = -5*h + 3*h**2 - 1 + 11*h**2 + t*h. What is c(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + 48. Let i = 153 - y. What is the highest common factor of 120 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.35. Let y = g - -0.055. Let a = -0.188 + y. Round a to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-161))\/((-20)\/(-62)). Let s = l + 3\/23. Factor -4\/5*f + s*f**2 + 0.\nAnswer: 2*f*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/8)\/((-3)\/696*3). Calculate the highest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*w - 9224 + 7754 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 13*h + 178. What is the tens digit of k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 5*r - 6. Let c(q) be the third derivative of q**4\/12 - 3*q**3\/2 - 3*q**2. Let h be c(7). Calculate n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0123778197 to 6 decimal places.\nAnswer: 0.012378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t + 15 = 0. Find the second derivative of 3*c + 6*c**4 + 7*c - t*c - 2*c wrt c.\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6297.99 weeks to seconds.\nAnswer: 3809024352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 25. Let y be ((-10)\/(-4))\/((-5)\/i). Let r be ((-15)\/(-9) - 1)*3. Solve -x - 9 = -b, -r*x + x - y*b = -21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29792\/(-9310)*70\/8?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**1)**(3\/14)\/((((h\/(h**(2\/19)*h))\/h)\/h*h*h*h*h)\/h*h**4))\/((h\/(((h*h**1)\/h*h*h)\/h))**(-1\/5))**3 assuming h is positive.\nAnswer: h**(-3369\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-6))\/(4\/6). Let w be 42\/(-20)*(-1550)\/465. Put w, f, -3 in increasing order.\nAnswer: -3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/13 - (-12)\/78. Let c = 57 + y. Calculate the greatest common factor of 38 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 48 = -z. Find the third derivative of -17*j**2 + 26*j**5 - 2*j**2 - 53*j**3 - 15*j**5 - z*j**5 wrt j.\nAnswer: 180*j**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/553 or 0?\nAnswer: 6\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 35*r**2 - 524*r - 19. Determine j(15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 24*i**2. Suppose -3*c = c - 8. Let n(u) = -2*u**2 + 2*u**2 + u**c - 2*u**2. What is n(z(a))?\nAnswer: -576*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 + 4397 = 19*s. What is s rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 25. Let k be d(-7). Let i(m) be the first derivative of 0*m**2 - 3\/5*m**5 - 2 - 5\/4*m**k - 2\/3*m**3 + 0*m. Factor i(z).\nAnswer: -z**2*(z + 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -75*o**2 - 46*o - 47. What is b(-1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1539, 5884, 13035, 22992, 35755, 51324?\nAnswer: 69699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 11. Suppose -4*s = -2 - x. Suppose 5 = 4*w + j, 5 - 10 = s*w - j. Is w <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2. Let j(k) = -25112906*k. Give u(j(m)).\nAnswer: 1891974143294508*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24295727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**6\/120 + 7*s**5\/60 + s**4\/4 - s**3\/2 + 15*s**2\/2 - 25. Let j(t) be the second derivative of i(t). Calculate j(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 1, a: 3, k: 3}. Give prob of sequence pz.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-1)*(1 - 2). Solve 3*i + 14 = w*c + i, 22 = 5*c - 2*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(750) - sqrt(750))\/(4*sqrt(384)).\nAnswer: -35*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 + -1 - 2) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2*(-4 + 2))\/(6\/(-15)). Suppose m*h - 26*h + 32 = 0. Let f(z) = -z - 2. Let q be f(-3). Calculate the greatest common divisor of h and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.3609 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 3*z + 0*z - 34)*(-4*z**3 + 2*z**3 + 4*z**3).\nAnswer: -6*z**4 - 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.60335 - -295.61171. Let o = 4174 - 3881. Let w = j - o. What is w rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36105645 divided by 5\nAnswer: 7221129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = 3*s - 17*l + 7, 4*l = 3*s + 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 903*g + 1248 = 480*g + 455*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -8 - -16)*1*7. Suppose 13*q - d = -13. Solve t - 10 = q*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7 - 1. Suppose 0 = -2*k - y*k + 750. Suppose -k = -16*i + 11*i. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1095*c**5 + 1733*c?\nAnswer: -21900*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5122903 is divided by 3263.\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 8.9857 (c) 1\/5 (d) -0.4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 776 = 1174. Calculate the least common multiple of 165 and d.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f - 14 + 38 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2323 - -0.7677. What is the third biggest value in 7\/2, w, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**7\/840 - y**6\/90 - y**5\/24 - y**4\/6 - 3*y**3\/2 - 14*y**2. Let a(l) be the first derivative of n(l). Determine a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7200) + (sqrt(7200) + -4 + sqrt(7200))*-1)**2 - (4 + ((-1*sqrt(84) - sqrt(84))\/sqrt(7))\/sqrt(6)).\nAnswer: -478*sqrt(2) + 7212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2128 by -133.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14028, -21471, -28914?\n\"Answer: -7443*t - 6585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 7:04 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*p + 44 - 16 + 109*p.\nAnswer: p + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - r**3 + 3*r**3 + (-5*r**2 - 11*r**3 + 5*r**2)*(651 - 24 + 108).\nAnswer: -8084*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 35 = -5*b. Let w(n) = 3*n - 10. List the prime factors of w(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1353084 is divided by 291.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55468115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2 = -2. Solve -b + 3 = -q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-26)*(228\/60)\/(15\/200).\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 8}. Give prob of picking 2 h and 2 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 21*b - 26. Give f(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 7*n - 2*n**2 + 3*n**2 + 2 - 3*n. Let j be i(-5). Calculate the remainder when 5\/((-5)\/j) + 21 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -197. Suppose -3*w + 486 = 2*m, f = 4*w + 5*m - 519. Does 28 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 158. Suppose -3*y = -y. Let f be n(y). Suppose -4*u - 3*b = -204, 3*u + b = -0*b + f. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*2 - (-132)\/(-55)*25\/(-20). Let p = 0.8 + 0.2. Which is the closest to p? (a) h (b) 1.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 815 = -11*k + 859. Sort k, 1, 66, -2 in descending order.\nAnswer: 66, k, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a**2 + 3*a**2 - 6*a**2)*(-24 + 7*a + 24) - 20*a**2 + 20*a**2 - 19*a**3 to v*a + x*a**3 + p + b*a**2 and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 6 - i**2 - 35 - 269*i + 13.\nAnswer: -i**2 - 269*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -446929 - 4?\nAnswer: -446933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + sqrt(88)*1 - sqrt(88))*4 + sqrt(88) + (-5*5*sqrt(88) - sqrt(88)) + sqrt(88))\/(sqrt(8064)\/sqrt(7) + (-5*sqrt(96))\/sqrt(12)))**2.\nAnswer: 4400\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 12:11 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543685 divided by -1.\nAnswer: 543685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 5448?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 5868?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 0 - 28 = -4*j, 41*j + q = 37*j + 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 1. Let x(i) = 4*i + 1. Give -2*h(p) + x(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 20 = -12*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*t - 163*t - 76 + 20.\nAnswer: -299*t - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(143)*-1)\/(1*sqrt(176)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.16 + -37.34. Let q = -24 - o. Let s = -13 + q. Which is the third smallest value? (a) 2\/3 (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*g - 2254 - 7175 = 2055 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 18. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - 4*o**2 - 182*o - 185. Is i(36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -168, -551, -1316, -2595, -4520, -7223?\n\"Answer: -22*f**3 + 7*f**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 447564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(12)\/sqrt(216) + sqrt(200) + sqrt(200) + -2 + 3)**2.\nAnswer: 125*sqrt(2)\/3 + 15643\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3834 and 631758.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -5*v**3\/3 - 35*v**2 + 75*v + 702. Determine z so that m(z) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 0, 5*y = -0*m - m - 43. What is the remainder when (m\/(-2) - 2)*2 is divided by (-16)\/6*231\/(-44)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 10 = -0, -20 = 4*m - 4*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*z - 4*f, -2*z + 0*z - 4*f - 14 = 0. Sort 11, 2, z, -3 in decreasing order.\nAnswer: 11, z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -15 (c) -4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 68.1238 and 8019.\nAnswer: 8087.1238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 68, -5, 56, 70, 0, -2 in decreasing order.\nAnswer: 70, 68, 56, 5, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112\/7*2\/6*3*-1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2. Let h(o) = o**2 + 476*o. What is f(h(n))?\nAnswer: n**4 + 952*n**3 + 226576*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.24 and 0.2.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 369 and 10?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/((-702)\/(-198)) + -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 34292*a**2 + 133466*a**2 + 3.\nAnswer: 99174*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7187*n + 21546*n - 7184*n - 7176*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((-123)\/(-15) - 2). Is g smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -12. Suppose -p - p = -g. Solve o = 2*j + 6, p*o = -3*j - 0*j - 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**1\/d))**50*(d**(1\/2))**(-11\/4) assuming d is positive.\nAnswer: d**(389\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8716 less than -0.057?\nAnswer: 8715.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 + r**2 + r**3)*(r + 0 + 0) + r**4 - 5 + 5 - 40*r**4 - 53*r**4 - 290*r + 94*r**4.\nAnswer: 3*r**4 - 290*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 157*j - 1996. Calculate g(-21).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 4. What is h(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 11:59 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*i + 27, 3*n + 13 = 31*i - 30*i for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31056 is divided by 144.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 293204.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j*(j\/j**1)\/j*j)))\/j)**(-8)\/(j**(2\/3)*j*((j*j*j*j\/(j**(-1\/9)\/j)*j)\/j)\/j) assuming j is positive.\nAnswer: j**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118.067 - 117.967. Let f = 3 + -2.5. What is the third smallest value in f, 0.9, a?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 8*z**4 + 14391*z**3 + 2 + 9*z**2 - 14387*z**3 - 4 to the form m*z**3 + x*z**2 + n*z + f*z**4 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q - 20. Let h be g(5). Solve h*n + 14 - 4 = 0, n - 3 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 0, -2*q + 2*y = -0*q + 10. Let f be ((-14)\/35 - 682\/q) + 2. Let t = -41 + f. List the prime factors of t.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 5:18 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + h = -4. Is (-86)\/(-6)*3*h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 + 14*o**3 + 12*o**2 - 56*o - 80.\nAnswer: 2*(o - 2)*(o + 2)**2*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/(-66)*(-18)\/9.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 5304?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:30 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 17*g**2 + 20*g + 435. Calculate r(-17).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*a - 0*a. Suppose -2 = -r - 0. What is the least common multiple of r and 1*(3 + a) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + (sqrt(33) - 1*sqrt(3993)))\/(sqrt(15)\/(sqrt(15)\/sqrt(3) + sqrt(5))).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0442, 1\/16, -5, 12\/13, 1\/4 in decreasing order.\nAnswer: 12\/13, 1\/4, 1\/16, -0.0442, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/16 - 271\/8. Let m = -20 + 21. What is the smallest common multiple of m and (-9)\/36 + y\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4373 + -4373. Let l = 0 - -2. Suppose -4*t = g - 91, m = -l*g - 0*t + 3*t + 237. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 21 = -0. Suppose -a*u + 3*f = -5*u + 105, -4*f = -12. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -72. Calculate the remainder when 119 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.1375ug to grams.\nAnswer: 0.0000861375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13*c**3 + 217*c**2 - 65*c + 49. Give x(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210200 + -20112122?\nAnswer: -10201222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*n + 17*i - 187 = -5*i, -i = 3*n + 95 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, -1 in descending order.\nAnswer: 15, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*t + 1 + 148*t + 25*t**2 - 291*t as n*t**2 + o + q*t and give n.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 3, d: 1, l: 5, t: 1, g: 2}. Give prob of sequence qilq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/21 - 16*f**4\/21 + 46*f**3\/21 - 8*f**2\/3 + 8*f\/7 = 0. What is f?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 19*q**2 + 17*q - 65. What is x(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**2\/5 - 236746*w\/5 + 236748\/5 = 0.\nAnswer: -118374, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -11, 12\/97 in descending order.\nAnswer: 12\/97, 0.11, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*g + 132432 = 0, -6*g = -g + 5. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1771.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 323767643 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -3*a + 15, 11*a - 14*a + 5*i + 17 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 815 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 184432*t - 1291220.\nAnswer: 4*(t - 46115)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)*m*m**19*m assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*z - 107 = 250*z + 28. Suppose -24 = -4*b + p, -3*b - 5*p + 1 = -17. Suppose -2*g - 120 = -b*g. What is the highest common factor of z and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.94 + -0.94. Sort -1\/8, 9, a.\nAnswer: -1\/8, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 20790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/4968 and 85\/48.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q + 2. Let j be h(-3). Let o = 16 + j. Determine b so that 3\/4*b**2 + 1\/4*b + o = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/6 and -163\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = c - 36605, 0 = -5*c - 6*i + 134796 + 48241. List the prime factors of c.\nAnswer: 31, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 7.88.\nAnswer: -3.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603 - 8*(-5)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5180 and 999?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204597691830 less than -2?\nAnswer: 1204597691828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.30173nm in meters?\nAnswer: 0.00000009130173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -959341 + 110?\nAnswer: -959231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = -0. Let o(c) = 16*c**2 - 2*c**2 + 0*c**a - 5 + 2*c + 13*c**2. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 10, z: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 + 44. Let z = s - -23. Let c(w) = -7*w**3 - w. Let d be c(z). Calculate the highest common factor of d and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*z = -104*z. Is -1\/33 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6704 times -0.387\nAnswer: -2594.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1313 (base 8) to base 9.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -2.1239 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/(-273)*(-126)\/1431. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**3 - s**3 + s**3)*(0 + 0 + 2) to the form u*s**2 + g*s**3 + c + z*s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 779941338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/((-16)\/20) - 1*-44 and 459?\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h - 1495 = 17*h. What is the remainder when h is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23545 (base 7) in base 4?\nAnswer: 1133131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*u - 204*u - 156*u.\nAnswer: -496*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**1)\/i)*i**(-3))\/(i*(i*i*i*i\/(i\/i**(-4)))\/i*i*i**(3\/2)) assuming i is positive.\nAnswer: i**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 974413, 974409, 974403, 974395, 974385?\nAnswer: 974373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 11:58 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -31*q**7\/210 + q**3\/3 + 22*q**2. Find the first derivative of g(j) wrt j.\nAnswer: -124*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3)\/(-9)*-15. Suppose -2*c = w*m - 34, -m - 2*m = c - 20. Let p = m + 0. 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: Suppose 0 = -3*y - 9, -2*y + 11 = -4*g + 29. Let i = 56 + -82. Let o = 30 + i. Calculate the remainder when o is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p - 6320000 = 0. What is p rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-1375))\/((-23)\/690*27).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*u - 14 = 0, -4*k + 5 = 4*u - 23 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 10, -19, -82, -191, -358?\nAnswer: -595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 4*s - 4*s)*(387 - 2026 - 5175) in the form t + v*s and give v.\nAnswer: 6814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/45, -3, 10\/61, -623?\nAnswer: 10\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 4 = -q. Calculate the remainder when (3162\/155 - 22)\/((-43)\/(-45) - 1) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24761776?\nAnswer: 2, 13, 119047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 221 - 235 = 0. What is the remainder when a is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35437477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, 0.053, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/i**9)\/(i**(1\/29)*i**(-6\/13)\/i) assuming i is positive.\nAnswer: i**(-13521\/1885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p + 2. Let i be (-2)\/9*3 + 17\/3. Let b(k) = i*k**2 - 7 + 9*k**2 - k**3 - 5*k**2 + 3*k + 3*k**3. Let f be b(-4). What is l(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p + 3 = 0. Let d = 1.2 - 0.2. Is p <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4815, -19112, -42939, -76296, -119183, -171600, -233547?\n\"Answer: -4765*r**2 - 2*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 14*l. Let p be n(5). Suppose -p = s - 6*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**3 - 4*m**2 + 3*m**3 + 4*m**2.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 77 = v - 11*s, 3296*v = 3292*v - s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 2 - -2) + 151585\/267900. Let i = y + 3\/3572. Calculate the common denominator of 71\/30 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 5373.\nAnswer: 59103","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - u**2 + 1. Let s be z(-1). Suppose 0 = 3082*r - 3079*r - 1155. Is 7 a factor of (s\/1)\/((-22)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 + -75. Calculate the remainder when 123 is divided by b.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 5. Let j(x) = -x - 11. Let h(r) = 2*j(r) + 5*w(r). Let d = -32 + 31. Let i be (d + 2)\/((-2)\/10). Determine h(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 0*d**2 + 0 + 2*d**3 - 11\/12*d**4 + 17*d. What is the second derivative of i(j) wrt j?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 2, 7\/2, 5, -183380 in descending order.\nAnswer: 5, 7\/2, 2, -1, -4, -183380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 - 3 = 0. Suppose -2*b = -b - 11. Suppose -3*n = 3, 4*k + 5*n - b = -0. Solve w - 1 = k*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10)*3)\/(-3*30\/(-525)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**3 + t**3 - 2*t**3 + (-2*t**2 - 1 + 1)*(t - 5*t - t))*(0 + 3 - 4).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 11, -2, 280, 7 in decreasing order.\nAnswer: 280, 11, 7, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t - 20. Let p(n) = 8*n + 14. Let h(q) = 5*g(q) + 7*p(q). Calculate h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*i = 22, -u + 2*u + 2*i = 13. Let w be (-4)\/u - (-4)\/(-6). Let r = w + 13. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.0437.\nAnswer: 0.02185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 1 = -5*u. What are the prime factors of 1 - (-13)\/u - 2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-3 + ((-4 + 2 + sqrt(147) + sqrt(147) + -1*sqrt(147)*6)*-3)**2).\nAnswer: 5040*sqrt(3) + 106003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = -2*b. What is the lowest common multiple of b and 90\/(-35)*(-1 + (-11)\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*i**3 - 580720*i**2 - 4001872*i - 5680576 = 0. Calculate i.\nAnswer: -44\/9, -2, 16138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -34*p**2. Let b(j) = -2*j**2. Determine m(b(o)).\nAnswer: -136*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130421746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (544\/(-51))\/16*(-2)\/(-20)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 693.2763 micrometers?\nAnswer: 0.6932763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -35. Suppose 32 = -2*m - 3*t + 12, 3*m + a = -t. Does 18 divide (-36)\/14*(m + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 238195 and 5.\nAnswer: 238195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 4*z**2 + 2*z. Let g be y(2). Suppose -60 = -5*n - 3*a, 50 = g*n - 0*a + 2*a. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + -37. Let q = -31 + s. Suppose 0 = -5*o + q + 34. Solve 9*z - 4*z + 3*l - o = 0, 4*l = -20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1959910 divided by 391982?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/9)*((j*j**(-5\/2))\/j)\/j)**(1\/10)\/(j**(-2)*j**3\/j)**(-2\/29) assuming j is positive.\nAnswer: j**(-59\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -158\/55 (c) 739.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6. Suppose -4*o - 4*j - 12 = -t*o, 3*o = 3*j + 9. Suppose o = 2*p - 6 - 16. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*c + 3*c - c)*(-2*c + 3*c + 0*c + (9*c + 10 - 10)*(3 - 2 - 2)).\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 269364*b - 89790*b - 89787*b + 11930*b**2 - 89787*b - 8936*b**3 wrt b?\nAnswer: -53616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, -0.01, 1\/14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1519087 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394 - -378. Let d = 935 - x. List the prime factors of d.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -206 and 14697 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 35580700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 99416*x - 617721316.\nAnswer: -4*(x + 12427)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/463845?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-14))\/((-159)\/1113).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3\/3 - u**2 + 2*u - 11. What is v(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 10\/9, 2\/926001, 1\/11?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 73*i**8\/16 - i**6\/40 - 379*i**5\/60 + i**4\/6 + 3336*i**2. What is the third derivative of k(a) wrt a?\nAnswer: 91980*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5b5 (base 12) to base 16\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1377\/79 - -72532\/711. Let z = -4063\/36 + j. Calculate the common denominator of 68\/(-6)*(-1)\/(-9) and z.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 3 = -41. Suppose x - 6 = -2. Suppose 0 = -x*u - 7 + 43. What is the remainder when u is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 18*a - 13104. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.03089898?\nAnswer: 0.006179796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-4*5\/(-1260)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 2*x - 19*x - 6*x - 7*x.\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 4*d - 12, -2*d + 152 - 146 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5064968451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 2*s + 2*s + (0*s + s + s)*(1 + 3 - 5) - 4*s - 4*s + 6*s + 1 - 2*s - 1)*(4*s - 6*s + 0*s).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -0.1 (b) -2\/15 (c) 1 (d) -1445.6 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 19*y = 15*y - 13, 3 = y. Let h = 226 + -136. Calculate the highest common factor of h and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 48. Let s(r) = 4*r**g + 11*r**2 + 35*r**2 - 4*r**2. Let o(n) = -3*n. Give s(o(x)).\nAnswer: 414*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z + 13. Let v be i(6). Suppose 3*m = 2*u + 4*m - v, 2*u - 49 = -5*m. Let p = 1233 - 1185. Calculate the remainder when p is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a milligram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18425.745 microseconds to days.\nAnswer: 0.0000002132609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 1)*(-2*y + 2*y + y) + 16*y - 15*y - 17*y)*(2*y + 2*y - 2*y)*(-3*y + 3*y + y)*(3 - 3 - 3).\nAnswer: 114*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -14. Suppose 5*d + 26 = 1. Let u = m - d. Calculate the remainder when 6 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = r. Let i = 0 + 2. Suppose 0 = i*s - 1 - 1. Solve -s = -4*t + 3, -3*o + r*t - 18 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/39))\/l**(-4\/7) assuming l is positive.\nAnswer: l**(415\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3554*0.5.\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*g + 582 + 78, 0 = g - 4. Calculate the smallest common multiple of 64 and j.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 3. Suppose 5 + 7 = 6*m. Let j be c(m). Let y be j\/10 - (-7)\/(-2). Sort 9, 5, y.\nAnswer: y, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5721270 to the power of 1\/2, to the nearest integer?\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + -24. Let v = -33 - m. Let w = -1 + -1. Which is the nearest to -0.1? (a) v (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/4 + (-276)\/(-16)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -31, -76, -155, -280, -463, -716, -1051?\nAnswer: -1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -87 and -15737.\nAnswer: 1369119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l - 1887712*l**3 + 1887707*l**3 + 5*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:55 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**3\/3 + i**2 + 5. Let s be o(-3). Suppose -2*n = s - 27. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from bbiibbiibbb.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -707, -3697, 13 in ascending order.\nAnswer: -3697, -707, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 806*w + 560. Determine r(-1).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11785914 divided by -1?\nAnswer: 11785914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -42*d - 1. Let j(k) = -2. Let w(y) = -13*y + 156. Let r(h) = 78*j(h) + w(h). Calculate r(o(q)).\nAnswer: 546*q + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*s + 11 = 22, 0 = 5*d + 4*s - 33. Let w = -3 + 6. What is the third smallest value in w, d, -5\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 33 = 207. Let i = 33 + f. Suppose i*m = 7*m - 180. What is the remainder when m is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/6)\/1)\/((-27)\/(-81))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/45024161 and -34\/1484313?\nAnswer: 135072483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y**2 - y - 1. Let g(s) = -s**3 + 13*s**2 + 29*s + 16. Let c be g(15). Let k be t(c). Let o(a) = -5*a - 3. Calculate o(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 8:46 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**5 - 1723*n**3 + n + 54?\nAnswer: -40*n**3 - 10338*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 691*k + 1139*k - 215*k - k**3 - 233*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*3*((sqrt(539) + 0)*2 + (sqrt(539)*-2*5 - sqrt(539))).\nAnswer: -3780*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 46723.98 months?\nAnswer: 38.93665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + 401 = -677 + 133 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 63*s - 2 + 0 + 29*s - 43*s as m*s + a and give m.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*t + 2*t = -8, 3*i + 2*t - 8 = 0. Suppose 2*n = 10 + i. Solve 5*k - n - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 3*m**2 + 3*m**2 + (5*m**2 - 3*m**2 - 3*m**2)*(5 - 4 + 1).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -25, -255, -625, -1129, -1761, -2515, -3385, -4365?\n\"Answer: o**3 - 76*o**2 - 9*o + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.21 + -9.032\nAnswer: -7.822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3406, -9, 9 in decreasing order.\nAnswer: 9, -9, -3406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -15) + (-16 - (-2 + -16) - 7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6829 is divided by 286.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 16 = -2*l. Suppose -l*a + 104 = 24. Let x = -190 - -210. Calculate the highest common factor of x and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36950 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-2 - 4*-1. Suppose -j*t + 3 = -t. Let y = -12 - -13. What is the nearest to y in -1\/4, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -45. Suppose -2*o - 35 = -7*o. Suppose -3*n + o*n = k. Is n > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -2 + 0 + 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-3 + 1*sqrt(1573))*-3 + (-1 + -1*sqrt(1573) + sqrt(1573) + -2)**2)*-4 + 3).\nAnswer: -264*sqrt(13) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14360.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 2*l, -3*n + 2*l + 0*l = 0. Suppose -5*w - 10 = n, -33 = -2*m + 2*w + 13. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:10 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2520 - 841 - 8*j - 842 - 837. Let h(i) = 89*i. What is h(z(k))?\nAnswer: -712*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91ab1b (base 14) in base 2?\nAnswer: 10010101110010110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + ((-1 + sqrt(11))*-4 - sqrt(11))).\nAnswer: -10*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.11 + 10. Let w = 0.29 - g. Let s = -0.149 - 0.051. Which is the nearest to 0? (a) s (b) w (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 3*h - 4 + 3*h**2 - 3*h**3 - 8 - 6 + 4*h to the form y*h + r*h**2 + f*h**3 + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5690729*m**2 - 31209.\nAnswer: -11381458*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6884198665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Is 43 a factor of 21672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b - 2*b + 2*b)*(33*b**2 + 3074*b + 1 - 3074*b) to s*b**2 + j + o*b + h*b**3 and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361773163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t = -3*b + 4, -28 = -4*t - 5*b. Let l be 0\/(-1) - (t - 6). Let q(p) = 4*p - 6. Calculate the least common multiple of 10 and q(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*f - 693*f - 22400 = 134*f for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -12*y + 21*y. Let t be y\/23 + 245\/(-966). What is the biggest value in 0.2, 5\/8, t?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 = c + 7, -5*c = 3*o + 20. Suppose 0*n + 5*n - 15 = o. Solve q - 19 = 5*q - n*d, 4*q = -3*d - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/5? (a) 30.409 (b) -3\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 103.957115458437?\nAnswer: -103.957115458437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d**3 - d**3 - 2*d**3 + (d**2 - d**2 - 4*d**2)*(3*d + 2*d - 4*d))*(-333 + 721 - 1461*d - 388) to s*d**4 + c + k*d + z*d**3 + w*d**2 and give s.\nAnswer: 1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2) + 2 + -1 + -1. Suppose -4*b = 4*k - 8*k + 388, 2*b + 179 = -f*k. Which is smaller: -91 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -19*f + 338. What is the remainder when 163 is divided by c(16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 1. Let o(n) = -10*n - 45. Let m(r) = 30*j(r) + o(r). Is m(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81015 divided by 3\nAnswer: 27005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114) - (sqrt(114) + (1*sqrt(114)*-1 - sqrt(114)))) - sqrt(114)) + sqrt(114))\/(sqrt(216)*-6).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 594635303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61307, 58564, 53993, 47594, 39367?\n\"Answer: -914*y**2 - y + 62222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768756 by 3.\nAnswer: -256252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 7*h - 23. Let n be 3 + 3*-5 + 2. Let k be w(n). Suppose -164 - 256 = -k*a. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 77252035*k + 772520850.\nAnswer: -5*(k - 10)*(k + 15450417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5*21\/(-63). Let b = 16 - 15.7. What is the closest to b in k, 1, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187229.\nAnswer: 7, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 2062410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1130610.2 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4\/5 - 696*v**3\/5 - 3*v**2\/5 + 696*v\/5 = 0. What is v?\nAnswer: -1, 0, 1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 15*j**2 + 7*j**2 - 3*j**3 + 31*j**3.\nAnswer: 28*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 308, 465?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 11\/(-6)) + (-1195)\/30. Let s be (-10)\/q + 39\/(-164). Is -1 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207493093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002297924 rounded to 6 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1538, -1494, -1424, -1328?\n\"Answer: 13*r**2 + 5*r - 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 194.13.\nAnswer: 776.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3 - 1 + 3 + 2*y**2 - 3*y**2. Find the second derivative of q(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221 + -211001?\nAnswer: -210230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/8 (b) -2 (c) 5 (d) 9\/23 (e) -1\/111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0*r + 2\/15*r**5 + 0 + 0*r**4 + 5\/6*r**3 - r**2. Find the first derivative of q(c) wrt c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2888, -2886, -2874, -2846, -2796?\n\"Answer: w**3 - w**2 - 2*w - 2886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u - u**2 - 2*u + 13*u**3 - 2 - 14*u**3 + 12 to m*u + c*u**2 + v + r*u**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 535*u - 16. Let y(r) = -16*r + 1. Let f be y(0). What is the tens digit of w(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/3 - 14990*b**3\/3 - 14994*b**2 - 44986*b\/3 - 14996\/3 = 0.\nAnswer: -1, 7498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -24124133?\nAnswer: 24124131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k**3\/3 + 1832*k**2 + 8963376*k + 53758240\/3 = 0. Calculate k.\nAnswer: -1994, -2, 3370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 399 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*v - 2450 + 1580 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*w - 4, 0 = 3*f - 5*w + 14. Let b(g) = -2*g**3 + g. Determine b(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23837c (base 13) to base 4.\nAnswer: -3032221313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = f - 6, -2*f + 4*b - 12 = -3*f. Suppose 3*n = -f*n. Let -4\/3*i**2 + n - 2*i**3 - 2\/3*i**4 + 0*i = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) 2\/21 (c) 0.04 (d) 6 (e) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 144.26 - 140. Let g = -0.01 + w. Let n = g - -0.15. Round n to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5208397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 30 - (-12 + (29 - 8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1715 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60*(-14)\/168 - (-1 + 51\/8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -701, 0.3, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5575 + 5568. Let x(f) = -60*f + 9. Let i(a) = 90*a - 13. Determine k*x(g) - 5*i(g).\nAnswer: -30*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + 81.8. Let l = n + -10. Which is the second biggest value? (a) 4 (b) l (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, 133 in decreasing order.\nAnswer: 133, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 792945 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 3. Let w(c) = -11*c**2 - 27. Let j(v) = 18*n(v) + 2*w(v). Let b(d) = d**2 - 3*d**2 - 2*d**2. What is j(b(l))?\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 59925*x**2 + 2*x + 4*x - 60822*x**2.\nAnswer: -897*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(32) - sqrt(98)*2.\nAnswer: -10*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 1)*(2*k - 5*k + 0*k)*(6 + 2 - 4).\nAnswer: 36*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14774204 divided by 5722?\nAnswer: -2582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0 + 4. Let 7*j**2 - 2*j**c - 8*j + 8*j**3 - 5*j**2 - 4 + 4*j**4 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 - 3*b**4 + 3*b**4)*(-4 + 0 + 3) + 3*b**5 - 3*b**5 + b**5 + (2*b**2 - 2*b**2 + 4*b**2)*(-b**3 + 3*b - 3*b).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*i = 441*i - 4320. Solve -7 = i*w + 74 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/50*6\/12*-10.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -946*y - 19881. Calculate h(-23).\nAnswer: 1877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/4, -6\/7, -4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-11) - 26\/143. Suppose 0 = -t*v + 6, y + 0*y - 5 = -4*v. Is -29\/4 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 4*d**2 + 9*d - 17. Let m be a(3). Find the second derivative of 9*h**3 + 45*h**2 + 8*h**3 + 17*h + 2 - m*h**2 wrt h.\nAnswer: 102*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 2136.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10976, -8.\nAnswer: -8, -4, 10976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ttjtllty.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + 14. Let v be 6\/r + 10\/40. Let i = -916\/9 + 102. Which is the biggest value? (a) i (b) 4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -6, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w = 17*w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 316447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16940207.\nAnswer: 79, 214433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i - i)*(0*i - 3*i + i - i + 3*i + 0*i + (-1 + 0 + 2)*(-1 + 4*i + 1) - 2 + 2 + 7*i).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**6\/24 + y**5\/3 + 5*y**4\/24 - 10*y**3\/3 - 25*y**2. Determine u, given that j(u) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*o - 3*u, -3*o + 4*u - 170 = -182 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110 - -5?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1426, 2898, 4372, 5848, 7326, 8806?\nAnswer: 10288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 - 98*p + 2181. What is f(-49)?\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 28 + (17 - 97 - -10)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -18. Let t be (-58)\/(-21) - (-6)\/v. Let w be 0 - (1 - 3 - 1). Which is greater: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 734*q + 2. Is 26 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*v + 186 = 31, 2*z + 5*v - 81 = 0. What is the remainder when 52 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 204069 - 203865 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12985 - 21641 = -146*d - 78*d - 8418 for d.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227415.\nAnswer: 3, 5, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/((-30)\/75*-5)*1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x - 2, 0 = 5*r - 3*x - 43. Suppose 6 + 6 = -3*n. Let f be r\/n*(-6)\/4. Calculate the highest common factor of 6 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 9*a**2 + 11*a + 4. Let y be h(-10). Let q = -16 + 11. Which is smaller: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2198, 4343, 6488, 8633, 10778, 12923?\n\"Answer: 2145*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*f - 365, 4*f - 122 = 5*f + g. Let q = 97 - f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -43, -98, -185, -310, -479, -698?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7299*s - 4. Let p(a) = 29184*a - 18. Determine -2*p(t) + 9*v(t).\nAnswer: 7323*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -67*j + 12. Calculate a(2).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -10) + 1 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16287, 65077, 146381, 260187, 406483?\nAnswer: 585257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 3. Suppose -4*v = -5*o + 287, 5*o - 159 = 2*o - 2*v. Let h = o - 57. What is a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40251.\nAnswer: 3, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21627237491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 6:26 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 71. Let c(m) = 39*m**2 + 5*m + 5. Let s(d) = 23*d**2 + 3*d + 3. Let w(h) = 3*c(h) - 5*s(h). Calculate w(i(j)).\nAnswer: 2*j**4 - 284*j**2 + 10082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*k - 2581 - 3628 = -106*k + 3073 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**7\/420 + f**4\/8 - f**3\/6 - 3*f. Let m(g) be the second derivative of t(g). Differentiate m(c) with respect to c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/796 and -157\/660.\nAnswer: 131340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32973 is divided by 523.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**5\/20 - 7*b**4\/8 - 3*b**3 - 406*b**2. Factor z(v).\nAnswer: -3*(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340303114 (base 5) in base 6?\nAnswer: -201515352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 2614420257?\nAnswer: -2614420254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4407065.\nAnswer: 5, 13, 67801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*b + 1, -j - 5*b = -b + 1. Let d = 3 + -3. Suppose -4*z = -d*z. Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, -36, 6, 5 in decreasing order.\nAnswer: 64, 6, 5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -218.89 - 0.4607\nAnswer: -219.3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m**3 - 37*m**3 - 3*m**3.\nAnswer: -66*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 3:53 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + 2*l)*(0*l + 2*l - 3*l - 5*l - 3*l + 0*l + (-4 + 6 + 2)*(1 - 1 - 2*l))*(3 - 3 - 1) - 3*l**2 + l**2 - 2*l**2.\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a72 (base 11) in base 4?\nAnswer: 220330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 672 + -263. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 367868267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 14. Let l be s(-12). Solve -16 = -l*y - 2*q, 2*y + q - 9 = 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**3 + 3 + 8*i**3 - 2*i**3 - i**3 + 3*i**3 - 4*i**3 + (3 - 3 + 2*i**2)*(7*i - 3*i + i).\nAnswer: 7*i**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 10*r + 12. What is g(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 42, 3, 13.\nAnswer: -2, 3, 13, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**3 + 3*b**2 + 3. Suppose -5*j + 29 = -71. Let a(o) = 10*o**2 + 10 + 20*o - j*o - 16*o**3. Give -3*a(s) + 10*g(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -144240 - 5?\nAnswer: -144245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/24*(-52)\/273?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873609?\nAnswer: 19, 31, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.03 + 3. Let x = 2.97 - l. Let d be (-2)\/(-11) + 168\/44. What is the third smallest value in -1\/5, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14123820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, 4, 2, -1\/3 in increasing order.\nAnswer: -1\/3, 0.16, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11515927 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 34.17. Let n = -8.17 + r. Let o = n - -8.00000022. Round o to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30363091, 30363110, 30363129, 30363148?\nAnswer: 30363167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 + 3*y**2 - 3*y - 3. Let d(v) = -5 + 1 - 3*v**2 + 4*v + 8 - 5*v**3. What is -3*d(t) - 4*z(t)?\nAnswer: -t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6947712 divided by -6\nAnswer: -1157952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqbqqddddbdbbqcyccc. What is prob of sequence bc?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u*u*u**6))\/u*u*(u**(1\/7)*u)\/u*u*(u\/(u*u**(-1\/2)))**(-2\/81))**(-48) assuming u is positive.\nAnswer: u**(44176\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 56*o + 52*o - 107*o - 62 - 50 + 171.\nAnswer: o + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -9*u + 43 - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46290)\/5670)\/(7\/12) - (-13 - 1).\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54610 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.445 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7455896*n**3 + 6285689*n wrt n?\nAnswer: 44735376*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 3:30 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 35*l + 159. Let g be m(39). Let t = -605\/447 + 3\/149. Which is the nearest to -1? (a) 1\/5 (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 147*w**2 - 4 - 199*w**2 - 2*w**3 + 4 to the form c*w + m + u*w**3 + z*w**2 and give z.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r**2 + r + 2. Let m be k(2). Suppose 369 = -32*q - 943. Let l = m + q. Solve -2*a = 3*u, -u = -l*a + 8 + 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-7))\/((-116)\/(-203))*(-640)\/100.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 11 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (42\/(-3))\/(-2 - 0). Suppose -h*v = -3*v. Suppose v = 3*u - 9 + 3. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = 6*r + 11. List the prime factors of ((-16)\/(-6))\/((34\/(-96))\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13947.5749 + 0.5.\nAnswer: 13948.0749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*t = 69*t - 306. What are the prime factors of 31276\/t - 2\/(-17)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 382, 715, 1048, 1381, 1714?\n\"Answer: 333*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 875 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 0\/4)*2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1141206 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b = b - 3 + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -61.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 116.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*o = 30. Solve -4*d - 24 = -o*v, 0*v - 2*d + 2 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/42)\/(14\/(-84)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*2*sqrt(25))\/((-1*sqrt(45))\/sqrt(9)).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 - 17480*u + 19096900 = 0. What is u?\nAnswer: 2185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 921*b**4 + 1857*b**3 + 8318024*b**2 wrt b?\nAnswer: 22104*b + 11142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 2*b**2 - b - 1. Let v = -10 - -16. Let h be v\/(5\/(15\/6)). Let a be f(h). Solve -3*p + 2*z - z + 4 = 0, -a*p = 5*z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 1 (b) 1\/8 (c) 0.3 (d) 129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1. Let y = 1 - j. Suppose 0*v - 3*v - 126 = -2*i, -y*i = -4*v - 191. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6878 divided by 38\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7)\/j)**28\/(j**7*j*j*j*((((j\/j**(-2\/7))\/j)\/j)\/j)\/j*j))**(-1\/13) assuming j is positive.\nAnswer: j**(198\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 9*m**2 + 4*m - 25. Let l be y(10). Let i = 77 + l. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38386238.\nAnswer: 2, 11, 17, 197, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12943095 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3042 divided by -258\nAnswer: 507\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 7*u + 1. Let p be h(-6). Suppose -3*f - 2*f = 4*i - p, -3*i + 10 = -f. What is the nearest to 0.1 in 4, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5)\/70 + 4151\/1176 and -35\/594.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaal when four letters picked without replacement from aaaaalaaaaaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5801 - -44344. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {g: 6, f: 4, n: 4, y: 5}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00313789 rounded to 5 dps?\nAnswer: -0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from viiuuiu. Give prob of sequence iuuv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 159. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b7893 (base 14) to base 9.\nAnswer: -1755078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 51*u + 8. Suppose -3 = -t - n, -2*n + 6 = 2*t - 4*n. Suppose 15 = 3*x - t*j, 0*x = 5*x + j - 49. Is h(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8168183 to 1 decimal place.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5530 + -4599. Calculate the greatest common factor of z and 343.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 4. Suppose 6 + 54 = -4*g. Let w = g - -23. Suppose 6*z = w*z + 6. Calculate t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**3 - 1201860*j**4 + j**2 + 1201862*j**4 - 2*j**3 - 2*j in the form v*j**3 + b*j + s*j**2 + k*j**4 + y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46094 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 5) to base 7.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/75 and 167\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 40 = -4*j, 0 = -k + j + 35. Suppose q - 101 = 3*p - q, 0 = p - 3*q + k. Let l = p + 71. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 7547867.2.\nAnswer: 7547867.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 416\/(-104)*(-1)\/2*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:39 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-77816)\/(-128) + -8 - -4. Let c = 583 + -1190. Let i = c + w. Find the common denominator of i and 43\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 14*r**2 + 8*r - 5. Let i be 10\/2*10\/(-25). Let b be (-22)\/i + 6\/(-2). Let l(z) = 5*z**2 + 3*z - 2. Determine b*l(a) - 3*d(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/7 + 2*i**2\/7 - 1992*i\/7 + 3960\/7 = 0. What is i?\nAnswer: -33, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -7, 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1454 divided by 3.\nAnswer: -1454\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 11*x**2 + 27*x + 20. Let j be o(-8). Let d(w) = -5*w + 139. Let b be d(24). Put 1, j, b in descending order.\nAnswer: b, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 - -22 - (-7 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40004)\/411 - -98)*(195\/6 + 2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-14)*(-13 + 11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -935497739 to the nearest 10000.\nAnswer: -935500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 747765875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2\/9 - 51088*d\/9 - 4832506\/3 = 0.\nAnswer: -25257, -287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14250 - 9247. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**3\/3 + x**2 + 40*x + 5229. What is h(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224704 is divided by 20422.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -70 - -1857715?\nAnswer: 1857635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(5 + 2 + (sqrt(880) - (sqrt(880)*-2 + sqrt(880)))\/(sqrt(45)*3 + sqrt(5) + sqrt(5))).\nAnswer: 24*sqrt(11)\/11 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004358763 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 14711826\/11 and 1337438 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 - 14227?\nAnswer: -14254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 100, 107, 4 in decreasing order.\nAnswer: 107, 100, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*-7*(-57)\/399.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 10. Let t be g(-8). Let m = 1 + t. What is the second derivative of l**3 - m*l**3 - l + 3*l**3 wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-45))\/((-13)\/832*-8*2788\/(-51)).\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 139*u - 2. Let x(f) = -89*f - 1. Calculate x(y(c)).\nAnswer: -12371*c + 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330133 (base 4) to base 9.\nAnswer: 5271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 4:46 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-3\/13)\/r)\/(r**3\/r))**(11\/4))**(-37))**17 assuming r is positive.\nAnswer: r**(145299\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 (base 8) in base 14?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2 - w - 1. Let b(o) = -8*o**3 + 14*o**2 + 17*o - 31. Suppose 0*m = 17*m + 17. Let h(z) = m*b(z) - 5*i(z). Factor h(s).\nAnswer: 3*(s - 3)*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 81*m**3 + 20*m - 27*m**3 - 24*m**3 - 31*m**3 - 40 + 15*m**2. Let a be g(16). What is the greatest common factor of a and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 40*y**4 + 12*y**3 - 120*y**2 - 116*y - 24 = 0.\nAnswer: -1, -3\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 81 + 669 = 0. What is the lowest common multiple of (-6)\/(-9) - -22*(-4 - 128\/(-24)) and s?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8158764241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26a (base 13) to base 14.\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 190541 (b) 1 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -108 and 736660?\nAnswer: 736768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-3)\/(-6)*2. Let m be -7527*o\/9*-3. Let q = m - -75054. What is q rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 1125297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -536, -797, -1058, -1319?\nAnswer: -1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -239*k - 45. Let j be u(-17). Let q be j\/(-4182) + 4\/18*3. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1740 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 3:25 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478178 is divided by 130.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15658855 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1137886320?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 5 = -3*g + 2*d, 3*d + 30 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198797154?\nAnswer: 2, 3, 33132859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -797600 to the nearest 10000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -250091 divided by -416?\nAnswer: 250091\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*x = 6, 9 = 3*j - 6*x + 2*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20359849607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -4947*o**5\/20 + 11*o**4\/12 + 7*o**3\/3 - 7*o**2\/2 + 2*o - 856. Find the third derivative of c(z) wrt z.\nAnswer: -29682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 10. Let g be (4\/5)\/((-2)\/(-5)). Let f = g - 2. Is f > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6537433 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1033\/2 + 2969\/6. Let m = 9495 + -19063\/2. What is the common denominator of k and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -7, 673.8?\nAnswer: 673.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - sqrt(84)*3*-4)\/sqrt(12) + 3.\nAnswer: 3 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f - 6912. Suppose -f = -4*q + q. Suppose -1034 = -10*t + q. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14656215 is divided by 3121.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 60*a**2 + 2*a**2 - 68*a**2. Let j(d) = 11*d**2 - 5*d + 5. Let n(o) = -17*o**2 + 8*o - 8. Let i(h) = 8*j(h) + 5*n(h). Determine i(g(q)).\nAnswer: 108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Let w be 1*(-12)\/(-6)*1. Calculate the highest common factor of a and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 319, -20, -3 in ascending order.\nAnswer: -20, -5, -3, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 - 8*w**2 + 9*w - 7. Let l(m) = -3*m**3 - 12*m**2 + 14*m - 10. Let t(s) = 5*l(s) - 8*q(s). Let k be t(-4). Solve 10 = -j + k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-4) + (-4 - (1 + -4)). Suppose -4 = -n - n. Suppose -16 = -3*p + n. Calculate the highest common factor of p and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*z**3 + 20*z - 30*z**2 - 196*z**4 - 13 + 3 + 201*z**4 + 35.\nAnswer: 5*(z - 5)*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 11173216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 5916828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 0, -0.3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 1 + 0*r)*(352983*r - 129*r**2 - 251*r**2 - 352928*r + (-1 + 2*r + 1)*(0*r - r - r)).\nAnswer: 384*r**3 - 439*r**2 + 55*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -26, -29, -34?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)*k**4*(k*k**(2\/7))**(-21) assuming k is positive.\nAnswer: k**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 2*w**6\/15 - 9*w**5\/10 - 21*w**4\/4 + 2*w + 45. Find the third derivative of s(j) wrt j.\nAnswer: 96*j - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1804 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/36*(-16)\/6. Let w = -80 + 81.45. Let t = w - 2.45. What is the nearest to 0 in h, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*y**3 + 15*y**3 - 14*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 - 3*z + 4 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101 - -121011122?\nAnswer: 121020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.5 (c) -2 (d) 10.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15003898 + -15003897.68999708. Let j = -0.31 + g. Round j to seven dps.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -2. Is n at most as big as 9\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p + 15*p + 27*p + (-1 + 2 + 0)*(-p + p - 2*p).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 3:00 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from {z: 4, i: 1, k: 2, y: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 5:32 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 + -115. Suppose b + 9*b - 3350 = s. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1716 = -321*p - 537*p. Solve -1521\/5 + 78\/5*z - 1\/5*z**p = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -45 - (-108 - -6) - -36\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -6*p - 189. Let u be y(-31). Let c be 1*(u - (-5 + 2)). Solve -5*h + 23 - 28 = c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -627127, -625018, -621497, -616558, -610195, -602402, -593173, -582502?\n\"Answer: t**3 + 700*t**2 + 2*t - 627830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -14. Let q = 6.6 - 7. What is the nearest to 0.02 in i, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:20 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**3 + 2*w**2 - 1. Let r(h) = -h - 9. Let d be r(-10). Let f be t(d). Let j = f - 2. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q - 5*q + 5060. What is the least common multiple of 552 and q?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6894 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*a + 7, 7*a - 2*a = -5. Put c, -5\/3, 0, 3 in increasing order.\nAnswer: c, -5\/3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d = 3*q - 19, 0 = -4*d + 20. Differentiate -4*j**4 - q*j**4 - j**4 + 0 + 8 with respect to j.\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 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 4441522 (base 6) in base 2?\nAnswer: 110110100001011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10089 rounded to 3 decimal places?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 86.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1502*y**5 - 548 - 11*y**4 + 3*y + 4*y**3 - 4*y**3 + 1562*y**5 wrt y?\nAnswer: 1200*y**3 - 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a4 (base 16) in base 11?\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*o + 4*z = 3, 0 = -z - 3. Suppose 0 = -o*y - y + 20. Suppose 7790*g + 44 = 7798*g - 52. What is the remainder when g is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*g - 366, g + 2*l = 4*g - 563. Let y(t) = -20*t + 14. Let s be y(-5). Let z = g - s. Which is smaller: z or 72?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*b**2 + 11*b**2 + 19*b**2)*(-2*b**2 + 5*b**2 - b**2) to c + w*b**2 + n*b**4 + z*b**3 + g*b and give n.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 56 + -106 + 77.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -336 + 362. Suppose 0 = 7*i - 2*i + 5. Let k = i + 8. What is the remainder when h is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k - 65*k = -5000. Let j = 197 - 83. Suppose -4*c = 3*f - c - j, k = f - 2*c. Is f a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -27. Suppose -x*k = k - 12. Solve -k*w + 4 = -5*p, 2*p - 5*p + 1 = w for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 168190391 and 89?\nAnswer: 168190302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2535 and 116241.\nAnswer: 98223645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 31 + 5 + 42 + (-4 - -4)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, g: 6}. Give prob of sequence ggii.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -162 (b) -0.3 (c) 2\/99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-33)\/2*1\/(-2). Let p = w - 27\/4. Let o = 449 - 451. What is the second smallest value in o, p, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008099363 rounded to 6 decimal places?\nAnswer: 0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 9:11 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 13*q**3 + q**2 + 12*q - 18. Let l be v(2). Solve -l*n - 30 = -108*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p. Suppose -7*f + 12*f - 120 = p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + -2.1. Let l = x - 1.6. Which is the third biggest value? (a) l (b) -7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 <= -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3329*q**3 - 3321*q**3 + 6648*q**3 - 1 + 172*q**2 in the form i*q**2 + f*q + u + a*q**3 and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -40, -69, -116, -187?\n\"Answer: -f**3 - 10*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-10)*36\/(-1683).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10838 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrrrrnrrrrrnrr. What is prob of sequence rrr?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/10 - -3)*5\/4. Is -0.1 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (5 + (7 + -5 - -6) - -9).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 92*r**3 + 105*r**2 + 12*r - 61. Let s(p) = 23*p**3 + 28*p**2 + 3*p - 16. Determine 4*g(v) - 15*s(v).\nAnswer: 23*v**3 + 3*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2611028114 to the nearest integer?\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(1 + sqrt(3)*1)**2)*3.\nAnswer: -48 - 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 119779511 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10799997)\/(-3) + (0 - -1). Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15263 greater than -16196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -48003576 * 0.8\nAnswer: -38402860.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)*(b\/(b\/b**6))\/b*(b**1\/b)\/(b\/(b**(-6)*b)))**(-15) assuming b is positive.\nAnswer: b**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:12 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8744595931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.87 (b) -7 (c) -15901 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -110*f**3 + 12*f - 34. Let v(s) = -10*s**3 + s - 3. What is -6*b(w) + 68*v(w)?\nAnswer: -20*w**3 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -12*k + 8*d - 2*d + 64, -k + 197*d - 2 = 200*d for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5 = -h, 4*o + 16*h = 29*h + 71 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 + 17*i - 16. Let x(k) = 4*k**2 - 8*k + 8. Let c(w) = -3*a(w) - 5*x(w). Let v be c(10). Let h be (-273)\/2873 - v\/13. Is 2\/7 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**6\/420 - 4*t**5\/21 + 43*t**4\/21 - 176*t**3\/21 + 1361*t**2. Factor s(c).\nAnswer: -2*(c - 2)**2*(c + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/96422 and 109\/444.\nAnswer: 578532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 234, 239, 246, 255, 266, 279, 294?\n\"Answer: l**2 + 2*l + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3641330277 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 8:24 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -520*g + 832. Let i(b) = b - 2. Give 416*i(o) + r(o).\nAnswer: -104*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 316\/7 + -1889\/42. Let l be 1\/(-2*(-3 - -4)). Which is the third biggest value? (a) l (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*u + 38, -2*z + 3 + 21 = -4*u. Suppose z + 1 = 3*a - 3*c, -10 = 5*a + 2*c. Solve 4*d + 5*r + 32 = a, 0*d = -5*d - 3*r - 27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 126\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 410 - 235. Let j = d - 154. What is the remainder when j is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -48, -68, -88, -108, -128?\n\"Answer: -20*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k + 3277406 = 143*k. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5016743911 - 35?\nAnswer: -35.5016743911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -358*g + 177477. Give d(496).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.094, 241.\nAnswer: -6, -0.094, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 times -0.5?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9852 + -9852. Solve 3*q + 3*o - 5 = 4*q, -2*q + 2*o - 10 = p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37*13\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*d + 355 - 616 + 263.\nAnswer: -157*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/14248785 and -121\/896150.\nAnswer: 142487850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + 5 + (sqrt(112)\/sqrt(4)*-6 - sqrt(28))\/(sqrt(16)\/(sqrt(4)*1)).\nAnswer: -7*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4207\/5 at least -840?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 81*g - 372 = 0. Calculate g.\nAnswer: -4, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -33*w. Let z(i) = 6546230*i**2. What is z(h(q))?\nAnswer: 7128844470*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 17\/135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5914 + 5853. Which is smaller: v or 121?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/7*(-21)\/(-18)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -0.73442\nAnswer: 2.93768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - l + 24. Suppose 5*d - 103 = -3*s, 4*d + 2*s + 2140 - 2222 = 0. What is the smallest common multiple of d and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*j - 18 = -0*z, -3*j = z - 14. Which is greater: z or -4\/49?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 6780 = -2*u - 5*c, 0 = 3*c - 15. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 - 6 = 0. Let z = 0.254 + 1.767. Let t = z + -0.021. Which is the third smallest value? (a) w (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12880 is divided by 3211.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 33186292 to the power of 1\/3, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11572499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 20, -u = -6*u - 3*j - 5. Suppose -2*y = -4*y + 50. List the prime factors of ((-20)\/(-25))\/(u\/y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*q**3 - 14171*j**2*q**2 + 173*j**2*q + j*q - 5*q**3 + 2*q - 10 wrt q?\nAnswer: -12*j**2*q - 28342*j**2 - 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -24*l + 18. Let w = -1 - -1. Let f = w - -0.2. What is the third biggest value in -5, f, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3551*o**2 + 889*o**2 - 518 - 2295 wrt o?\nAnswer: -5324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2067 = -19*q + 441. What is the greatest common divisor of q and 3564?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 857\/20 - 171\/4. Put 0.64, u, 3 in decreasing order.\nAnswer: 3, 0.64, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 12:02 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**3 - 99*r**2 - 234459*r + 511333240 wrt r?\nAnswer: -3*r**2 - 198*r - 234459","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a33a2 (base 11) in base 3?\nAnswer: -10121200002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 14.864 (b) -0.4 (c) -6\/11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -275436, -550851, -826266, -1101681, -1377096, -1652511?\n\"Answer: -275415*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -d0768 (base 14) to base 11\nAnswer: -312349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + w - 4*w**2 + 3*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**3 - q + 1. Let u be v(1). Suppose -3*x = 9, 5*c - 125 = u*x + 219. Suppose 53 = -2*j + c. Calculate the greatest common divisor of 2 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4064*x - 369*x - 2849 - 55952 = 47591 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 14 = -2*g + 4*r, 0 = -2*g - 5*r + 104. Let k be (44 - g)\/(-10*1). Find p, given that k*p + 22\/5*p**2 + 0 = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91058909 and 1583.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 16 = 9*p. Solve 2*m + 0*m = p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4352 + -17407\/4. What is the nearest to 4\/767 in 1, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*(x*x**8)\/x*x\/(x\/(x*x\/x**(-12)))*x**(-6\/17)\/(x**(2\/3)\/x) assuming x is positive.\nAnswer: x**(1223\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106 - 89 - 7*n - n + 285*n**2 wrt n.\nAnswer: 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - t - 3. Let q be r(-3). Let z = q - -10. Solve -z = 4*v - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 0.7\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 9*k**2 - 3*k - 2. Give j(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2 + 476*f - 28322 = 0.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8788 + 9*d**2 - 28*d + 8789 - 2*d**3 + 20*d. Give p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.02547 from -4572.\nAnswer: -4572.02547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15608508 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(176))\/(5*sqrt(160)).\nAnswer: sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12 - -5) + (-10)\/2 + 9. Let y(k) = -k**3 - 3*k**2 - k + 1. Give y(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34443625 (base 7) in base 16?\nAnswer: -2e1287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*d - 11*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let r(m) = 4*m + 5. Let x(h) = -3*h - 4. Let d(i) = 2*r(i) + 3*x(i). Give d(y) - 2*f(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(375) + 5*sqrt(375)*1 - sqrt(375)) + sqrt(375))\/(-6*-6*sqrt(25)\/sqrt(5)).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1\/63174898, 0.4 in increasing order.\nAnswer: 1\/63174898, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24137856 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 5*j**3 - 415*j**2 + 10440*j - 71280 = 0.\nAnswer: 11, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 29. Let c be (-42)\/(-4)*(-4)\/(-6). Suppose -4*h + c = -5. Solve i*s - h = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 - -211.02. Let o = p - 3. Let j = 0.38 + o. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -14*o + 63 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -145521?\nAnswer: 145520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 3*f - 3*f)*(-8 + 3 + 2)*(-2 + 1 + 2)*(-11*f + 17*f + 56*f).\nAnswer: -372*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 73950406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*f = -110*f + 63 + 82. What is the second biggest value in 19, 29, f?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in three sevenths of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 1.5. Let u = 996 + -991. What is the biggest value in -0.3, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37462, 36753, 34818, 31045, 24822, 15537, 2578?\n\"Answer: -102*m**3 - m**2 + 8*m + 37557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, 18284, 2\/5, -153, -2\/7, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 + 1135*t - 9887. Give y(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -1309.044.\nAnswer: -13090.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 93. Let j be c(31). What is the greatest common factor of j and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39466055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-9) - 16\/8.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efnqh. What is prob of picking 1 f, 1 e, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 2 (b) -5 (c) -0.72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 20*r - 3. Let i(n) = 220*n - 34. Let j(y) = -68*f(y) + 6*i(y). Let p(d) = 2*d. Determine p(j(x)).\nAnswer: -80*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*i**6 + 12616*i**5 - 181*i**2 - 2*i - 1386 wrt i.\nAnswer: -1680*i**3 + 756960*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 809672089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3667763 (base 9) to base 14\nAnswer: 39c7dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - (-44 - -13)) + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.446 and -3.6865557651.\nAnswer: -5.1325557651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*i + 5*l, -2*i = -6*i + 4*l + 132. Let s = i + -17. Calculate the highest common factor of s and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, -5, -1533, 0 in decreasing order.\nAnswer: 1, 0, -5, -6, -1533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-48)\/(-2) - (4 - 4)*1. Suppose -d + y = d. Solve 4*h = h + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1412.18748 nanoseconds?\nAnswer: 0.0000000000163447625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -19 (c) -5 (d) -4 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 1. Let y(f) = 9*f + 8. Suppose 0 = 2*k - 30 - 36. Let o = k + -9. Calculate o*a(r) - 3*y(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.38735 microseconds in days?\nAnswer: 0.000000003349390625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1306736 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.3 - 10.3. Which is the nearest to -1? (a) -3 (b) 1\/7 (c) x (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115 + 1134 + 1657 = 217*p for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -65*q + 193. What is m(4)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 15 + 26)*(-5 + 5 + 2)*(3*n - 4*n + 3*n) - 3*n + 3*n - n.\nAnswer: -77*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-9)\/(-66)))\/(79\/((-5214)\/(-44)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/27*(-162)\/351?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 121*r**4\/12 + r**3\/6 + 5*r**2. Let g be q(-1). Let o = -84 - g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*d + 454*d = 672*d - 39655 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 7 - 5, 66 = 3*v - 3*g. Suppose -2*n + 22 = -4*p - 2, -2*n = 4*p + 8. Calculate the lowest common multiple of v and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h. Let r(n) = -175*n. What is y(r(g))?\nAnswer: -700*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 16*l - 24*l + 68 = 0, -2*m = 3*l - 31 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*k**5 + 9*k**5 - 4*k**5 + (2*k - 4*k + 4*k)*(-143*k**3 + 143*k**3 + 7*k**2 - k**4 + 0*k**4 - 2*k**4 + 0*k**4 + (0 + 1 - 3)*(2*k**4 + k**4 - 2*k**4)).\nAnswer: k**5 + 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -706, -727, -762, -811, -874, -951?\n\"Answer: -7*n**2 - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 4*s**2 - 2*s + 5. Let u be 3\/(-2 - 15\/(-12)). List the prime factors of o(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -101010100010?\nAnswer: -101010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/5)\/m**(-2\/13))**(4\/13) assuming m is positive.\nAnswer: m**(352\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**3 + a**2 + 2*a + 6. Let t(s) = -9*s**3 - s**2 - 2*s - 5. Let r(l) = -5*t(l) - 4*x(l). Let q be r(-1). Let k = q - -34. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 5*f - 55 = 0, 3*v - 100*f = -94*f - 12 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j + 6*j + 1 + 0*j. Let q(r) = -r - 1. Let f = 2890 - 2893. Determine f*b(d) - 3*q(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*a = 8, 9*u + 5*a + 9 = 6*u. Sort -1, 0, -4, u in decreasing order.\nAnswer: u, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + (-2 - 0). Let p(m) = m**2 + 7*m + 6. Let b be p(t). Let i(w) = -w - 13. Determine i(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930 divided by -3.\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + (-3 - -2) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8181 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 9) + (-19)\/(-19). Let w(z) = 13 + 2*z - 3 - 8. Let h(s) = -3*s - 3. Let b(g) = c*w(g) - 5*h(g). Give b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18242768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8214 = 2*x, -6*x + 8*x - 8228 = -5*n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*f - 5*f = 172, 0 = r + f + 167. List the prime factors of 12\/(-15) + (-36)\/40*r.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.3 (c) 110024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -4. Suppose -q + t = -3*u, -q + 30 = u + 9. What is the remainder when 87 is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 680*r = 675*r + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*u - 5809 = -123*u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22\/9, 0.03, 115.4?\nAnswer: 115.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3045 divide 860437830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 14*f = -18*f + 34613, 5*j + 5*f + 173165 = 0. What is j rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 4 - 12) + 13 + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j + 1. Let y be n(2). Let x = -10 + 12. Solve -2*i + 2 = 0, 2*i = 3*g - x*i + y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*k**2 + 27*k**2 - 6 + 26 + 33*k**2 in the form q*k + r*k**2 + b and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldulldligldg. Give prob of sequence gill.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 7 = -3*j + 3*d, -3*j = 4*d + 10. Sort 0, j, -1 in decreasing order.\nAnswer: 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30704808, -61409616, -92114424, -122819232, -153524040?\nAnswer: -184228848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-8) - (-35433)\/36. Let o = 1028 - l. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-104)\/78*306\/(-8). Find the second derivative of 6*d**3 + v*d**5 - 113*d**5 - 78*d + 54*d**5 + 6*d wrt d.\nAnswer: -160*d**3 + 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 20*q**3 - 7*q**2 - 41*q - 38. Let p(h) = 7*h**3 - 2*h**2 - 14*h - 13. Let b(m) = 6*l(m) - 17*p(m). Let a be b(9). Solve a*y = -2*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l - 4. Let p be (8 - 1) + 2\/(-2). What are the prime factors of q(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1163 + -267. Suppose 127 = 2*o - 2*u - 319, 4*o - 5*u - b = 0. What is the remainder when o is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -4, -3, -1, 3, 24 in decreasing order.\nAnswer: 24, 3, 2\/11, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147687484.\nAnswer: 2, 7, 5274553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.254 - -3.6504. What is j rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -8.2. Let b = o - -19.8. Let p = 16 - b. Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-10))\/(2\/4). Suppose 5*n + 4*c = -1137 + 1147, -2*n - 3*c + 4 = 0. Solve -d*x = -2*j - 5, -2*j + 4*j + n*x = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*a**5 - 260*a wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38982 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1568, 1605, 1686, 1829, 2052?\nAnswer: 2373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 172619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 11*w + 10. Calculate l(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/55 and -17\/55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcxaavvcbcavv. What is prob of picking 1 b, 2 v, and 1 a?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 751904022 minus -20.2057?\nAnswer: 751904042.2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/26*1080\/630?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 96*d**2 + 275*d + 2178. Determine f(99).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 498 - (-9 + 5 + 3). Let j = x - -618. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14417*o**3 + o**2*p - 62441*p wrt o.\nAnswer: 43251*o**2 + 2*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 5*l - 2*a, l = -a - a - 15. Let t = 28 + l. Solve -4*k + t = x, -3*k - 2 = -5*x - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -4*w**7\/35 - w**6\/2 + 130*w**4\/3 + 2408*w**2. Find the second derivative of d(z) wrt z.\nAnswer: -288*z**2 - 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:14 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-3*2*(-3)\/6. Let y = 34 - 17. Let c(j) = -j**2 + 5*j + 1. Let q be c(4). Solve 0 = 2*i - 5*r - 33, 5*i + q*r + y = h*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1556235 or 1556449?\nAnswer: 1556235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/10516 and -67\/264.\nAnswer: 63096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4111560 and -7\/10.\nAnswer: 4111560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-273) + 63\/(52920\/9200).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -18*x**7\/7 + 33*x**5\/5 + 1028*x**3 + 3606. Find the third derivative of b(s) wrt s.\nAnswer: -2160*s**3 + 792*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-3\/2)*b*b))\/(b\/b**(-6\/17)))\/(b**(-2\/11)\/b**23) assuming b is positive.\nAnswer: b**(8351\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 44 (c) 5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1.4, -2 in descending order.\nAnswer: 65, 1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -554 - -974. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/(53196\/30690)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.7146 to 1 decimal place.\nAnswer: 17.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 22, 15, 6?\n\"Answer: -k**2 - 2*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 633?\nAnswer: 63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 270466 - 47331402\/175. Let w = y - 14\/25. Let o = 12 - 8. Which is the nearest to 0.2? (a) o (b) w (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(539) + (4*-3*sqrt(539))**2 - sqrt(539)).\nAnswer: 232848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95467441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 416773.6 centuries?\nAnswer: 500128320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 14*t + 65. Let m be n(17). Solve 39 - m = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.48 - 22.98. Which is the third smallest value? (a) t (b) 2\/101 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -235. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 17. Suppose 0*n = 4*n + 2*m - 16, -m + 14 = 4*n. Suppose 13 = n*i - h. Calculate the lowest common multiple of 7 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)*r*r)**(-3\/28))**(-32)\/(r\/((r\/r**(4\/3))\/r)*r**(-2\/21)\/r*r)**(-1\/4) assuming r is positive.\nAnswer: r**(719\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*w + 6 = 0. Suppose -9 + w = 4*p. What is the units digit of (p\/(-6))\/((-12)\/(-1224))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28122, 30495, 32870, 35247, 37626, 40007, 42390?\n\"Answer: m**2 + 2370*m + 25751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -38 - (0 + -3 - -3 - -6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 + -23?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(-2*g + 4*g + 0*g)*(-3 + 3 - 5*g**2).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4299484113.\nAnswer: 3, 8161, 58537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 680, 2302, -1\/7, 0, 28, 3 in decreasing order.\nAnswer: 2302, 680, 28, 3, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2. Let r(h) be the third derivative of -41*h**5\/60 + h**3\/6 - 3*h**2 + 47*h. What is r(w(j))?\nAnswer: -369*j**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1790, 1787, 1782, 1775?\nAnswer: 1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 + -537932?\nAnswer: -5379a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 6:05 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 - 178. Let o = 338 + s. Let j = 0.1 - 0.3. Which is the nearest to -1? (a) 0.12 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, -7, 14 in ascending order.\nAnswer: -7, -4, 0, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2657997 is divided by 91655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 5*s**6\/2 - s**5\/30 + s**4\/8 - 5*s**2. Is k(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -280964*d + 1966753. Calculate i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5*a - 17 = 0, -84*f - 5*a + 1 = -86*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*q**5 + 68196*q**4 - 14652*q**3 - 43856*q**2 - 9744*q = 0.\nAnswer: -1218, -1\/2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 3.96. Let n = 8 + y. Let w = -1464715\/4 - -366179. What is the third smallest value in w, -0.5, n, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 5 + 5 + (16 - 16 + 8*n**2)*(-1 - 6 + 6)*(-3 + n + 3) + 0*n**2 + 0*n**2 - 2*n**3.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4589.972 and 0.3?\nAnswer: 4589.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -335.\nAnswer: -36\/335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 + 10 - 11) + -13.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 14955 - 24842 = 81091. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbl when three letters picked without replacement from {l: 2, p: 5, b: 2, k: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2584 divided by 68\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4\/3, 2, 1276?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)*w*w\/(w**4*w*w))\/(((w\/(w*((w*w**(-6\/7))\/w)\/w))\/w)\/w*w)**(10\/19) assuming w is positive.\nAnswer: w**(-2055\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48454 is divided by 351.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.0948 + 0.0948. What is the nearest to -2 in -0.02, -34, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 111 and 2670.\nAnswer: 98790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3962?\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12302002 (base 5) to base 8.\nAnswer: -350332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1304 and 1024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1045 by -4.\nAnswer: -1045\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 7 + 5. Calculate the smallest common multiple of 18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 1:22 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 149 + 351. Let o be (x\/60)\/(1\/3). Suppose 4*m - 64 = -o*j + 917, 0 = 5*m + 4*j - 1215. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 786 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -55.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 513112*z + 54914433.\nAnswer: -(z - 513219)*(z + 107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-102) - 245\/(-85). Solve 2*g - 20 = 4*n, -g + t*n = 36 - 50 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6429076 - -4029078. Let s be v\/(-3) - 2\/(-3). What is s rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1177053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 37. What is the second biggest value in 1, -0.4, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czzcczcczccczzcz. What is prob of picking 2 c and 1 z?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -13. Let r be 1\/(2 + -1)*l. Sort 1, r, -2.\nAnswer: r, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.132537933 - -0.13252. Round a to seven dps.\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/(-6*2\/(-16))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1337, 2738, 4133, 5522, 6905, 8282?\nAnswer: 9653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3) - 1)*-3. Suppose 4*v = 4*c - 104, -n*c = 5*v + 2 - 33. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -429640000 rounded to the nearest 1000000?\nAnswer: -430000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -122588, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 3*y + 18579, 2*i - 9300 = 5*y - 7*y. What are the prime factors of i?\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74.6 + 71.616. Let t = w + -0.016. Which is the nearest to 1\/2? (a) t (b) 3\/5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0 - t + 2 + 0. Let s = 1759 - 1755. Give h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, y: 4, g: 4, p: 4}. What is prob of sequence gpgb?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 260688 and 12.\nAnswer: 260688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let t(o) = -856*o. Calculate t(d(j)).\nAnswer: 1712*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/19, -0.04, -9.53, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 880.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 10 + 459*p**3 + 77*p**2 - 8 - 82*p**3.\nAnswer: 377*p**3 + 77*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23606758*i**3 - 58*i**2 - 38074 wrt i?\nAnswer: 141640548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 406.\nAnswer: 53\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 x, and 1 u when three letters picked without replacement from {x: 1, i: 4, u: 3, j: 3, g: 6, t: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -51. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27.27361km?\nAnswer: 27273610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 945566847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2 - (-44)\/20). Let a be ((-18)\/x)\/(5\/(-25)). Solve a*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l**3 - 3*l**2 + 2. Give y(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318600 is divided by 102?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Suppose -3*m - 24 = 4*d, 0*m = 2*d - m + 2. Let r be 20\/(-14) - 2 - d. Which is the third biggest value? (a) t (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 w when three letters picked without replacement from hhwgwwwg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25\/7633 - 125401\/725135. Let p = 1\/85 + y. Let z be (-20 - 2130\/(-105))*(2 - (-30)\/(-8)). Sort -5\/4, p, z in descending order.\nAnswer: p, z, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.2 (b) 0.3 (c) 26\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = -2*i, -q - 4*i + 7 = -31. Find the first derivative of 20*z**2 - 7 - 3*z**2 + q + 0*z**2 wrt z.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000068917744 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-24))\/((-6)\/(-9)). Let x = -2 - -2.1. Let f be 18\/(-20)*(-4)\/6. What is the closest to 2\/5 in q, x, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*5\/(-60)*18*40\/72.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8678 or 2?\nAnswer: -8678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3539, 7182, 10825, 14468, 18111?\nAnswer: 21754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 24*u - 2. Let s be r(-3). Let z = -8 + 38. Calculate the remainder when z is divided by (-2)\/9 - s\/9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76388 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/4)\/((-5)\/(-20)). Let g(y) = -y**3 - 3*y**2 - 2*y - 1. Let p be g(-3). Calculate the highest common factor of p and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*y + 2 = 0, -4*r - 2*y + 8 = y. Suppose -4*p + r*p + 8 = 0. Suppose j + p*j - 26 = -3*x, 2*j = -3*x + 23. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -367.87191 to the nearest integer.\nAnswer: -368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 + 476851*o**2\/2 + 227386876201*o\/4.\nAnswer: o*(o + 476851)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 2.7, 2, -260?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 5278 = -5284, 2*j + f = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -414, 0.57, -3.6, -0.1?\nAnswer: -414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/28 - (0 - 9\/63). Which is the second biggest value? (a) -1\/3 (b) k (c) -0.07 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:07 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5 - 199*o**4 + 2626*o**3 - 6694*o**2 + 6301*o - 2035 = 0.\nAnswer: 1, 11, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -3, 55 in increasing order.\nAnswer: -3, -1, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10*689\/8 + 6\/(-24). Calculate the highest common factor of n and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -170. Suppose 0 = g - 98 + v. Solve 6 = -2*d, -d + 6*d = -g*t - 18 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.44 - 2.44. What is the closest to 1 in 5, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -15*o**3 - 2*o + 5 - 1 - 6*o**2 + 14*o**3. Let p be (-5 - 0) + (-15 - 0). Let j be (-18)\/(-30) + 132\/p. Give a(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 5, e: 1, r: 6}. What is prob of sequence ssed?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7385 + -1.8385. Let u = 1 - 1.05. Which is the fourth smallest value? (a) i (b) 2\/7 (c) -0.01 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-1) - 1)*2. Solve -4*v - 4*p - 26 = -2*v, -4*p = -l*v + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-40)\/(-51)) - 9\/(-72)*-3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108350857 - 108350850.100000115. Let k = 6.9 - a. What is k rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q - 159. Let s be o(-26). Put 11, 1, -8, 5, s in ascending order.\nAnswer: -8, s, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 72, 73?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6\/3 - 8)\/(2\/(-60))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 10, 5*i = 4*b - 5*b - 19. Let r(x) = -3 - x**2 - 3 + 0*x**2 + b*x. Let t be r(4). Solve t*l - 1 = c, -l - 2*c - c - 17 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 232.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.23037, 5, -0.5, 3.3?\nAnswer: -0.23037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -4.188.\nAnswer: -7.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.02314488*0.2\nAnswer: -0.004628976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 84*p - 12. Let b be v(7). Suppose -k + b = k. Calculate the common denominator of 2\/3 + (-102)\/k and 41\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/12217 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -203607, -203608, -203609, -203610, -203611?\n\"Answer: -r - 203606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + ((-45)\/(-15) - -1*181). Suppose -3*q - 22 = -v. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5188830.\nAnswer: 2, 3, 5, 257, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/128223951 and 71\/56145?\nAnswer: 641119755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57, 97, 159, 249, 373, 537, 747?\n\"Answer: t**3 + 5*t**2 + 18*t + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 - -50) + 54 + -23 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. What is the third derivative of 5*z + 8*z**u - 9*z**2 - 5*z + 4*z**3 wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.28947 - 0.28947. Let g = -0.1 + 0.3. What is the closest to j in 1, -1\/8, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -339, -413, -485, -555?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (438*s**2 - 276725*s + 276725*s)*(s**3 + s**3 - 4*s**3) + 0*s - 2*s - 19*s**5 + 18*s**5 - 3.\nAnswer: -877*s**5 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)\/(11\/22). Let f = 1 + p. Solve 0 = -4*y + 2*b - 10, 2*y - 4*b - f = -23 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1703369997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -39, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:24 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**3 + 2*q**2 + 3*q - 1. Let u be m(4). Let x = u + -209. Let h = x + 133. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*(sqrt(77)*2 + sqrt(77) + sqrt(77)))\/((2*sqrt(110))\/sqrt(10) + sqrt(11)) - -4*(-2 + sqrt(448) + 4)).\nAnswer: 8 + 100*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64940765?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34103130 (base 5) to base 15\nAnswer: 5e02a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 14*r**2 - r - 13. Let a be w(-14). Suppose -2*g - 2*y = -12, 3 = y - 2*y. Let h = g - 7. Sort h, -2, a.\nAnswer: -2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -838883 in descending order.\nAnswer: 5, 4, -838883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s - 20364*s**2 + 10179*s**2 + 10176*s**2 to q*s**2 + j + w*s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24765*f**2*h**5 - f**2*h**2 + f**2*h - 46*f*h - 70*h**3 + 2*h**2 - 859*h wrt h.\nAnswer: -1485900*f**2*h**2 - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149\/2 + 75. Sort 2, a, 1, -3\/7 in ascending order.\nAnswer: -3\/7, a, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/10*10\/32*12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 154*q + 315851 - 306919 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c*((c\/(c\/(c\/(c\/(c**21*c)))))\/c)\/c)\/c)\/c*c*c*c**32*(c\/((c\/((c\/(c**17\/c))\/c))\/c*c))**(-1\/19))**(-2\/25) assuming c is positive.\nAnswer: c**(-432\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -4*z**3 + 1457036*z**2 - 7285080*z = 0.\nAnswer: 0, 5, 364254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 6*z**2 - 2*z - 11. Let c be w(6). Let u(p) = 2*p**2 - 9*p - 113. What are the prime factors of u(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 - 2*i - 3. Calculate l(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/28? (a) -2 (b) 2 (c) 2\/9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*r**3 + 24*r + 0*r**2 + 0*r**2 - 817*r**3.\nAnswer: -5*r**3 + 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0\/(-9))\/21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/11 + 32*a**2\/11 - 27*a + 810\/11.\nAnswer: -(a - 18)*(a - 9)*(a - 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161506524 divided by 150099.\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/708*14 + ((-190476)\/(-708) - 269).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432)*1)\/sqrt(8))\/(-4*sqrt(2)*1))\/((sqrt(180)\/(sqrt(4) + 2*sqrt(4)))\/(sqrt(5) + (sqrt(15)\/(sqrt(12)\/sqrt(4)) - sqrt(5)))).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.553500194 rounded to two dps?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 1. Let q(z) = 5*z - 2. Let y be (-138)\/(-5290)*(-20)\/(-6) + (-272)\/(-46). Calculate y*j(n) + 3*q(n).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -194*y + 56. Give q(1).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y + 33. Suppose -t + 54 = 5*x, 4*t + 16 = 12. Let j be f(x). Sort j, -2, 8, 4 in decreasing order.\nAnswer: 8, 4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 238, 5, 0 in increasing order.\nAnswer: -2, 0, 5, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145306 is divided by 2383.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*s + 47*s**2 - 166*s + 2*s**3 - s**4 + 2 + 188*s to j*s**2 + l + u*s + p*s**3 + z*s**4 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w + 4. Let o(f) = 4*f - 8. Let a(n) = -4*n + 7. Let r(h) = -5*a(h) - 4*o(h). What is -4*r(k) - 3*z(k)?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81339185.\nAnswer: 5, 16267837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i**2 - 3 + 6 - 3.\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -242*j**2. Let s(x) = 27*x**2. Determine -44*s(g) - 5*u(g).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 0 + sqrt(1300))**2 - sqrt(1300)) + sqrt(1300) + 3 + sqrt(1300) + 0 + (sqrt(1300) - (6*(sqrt(1300) + 3))**2) + -5 + 3 + sqrt(1300))*2.\nAnswer: -91644 - 4220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 514 = -1458. What are the prime factors of d?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 8 + 8.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 740912?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 3 = 3*l, 7*j - 9*j + l = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 6:38 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 946, -4\/7, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71699514776 - -11.\nAnswer: -71699514765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/16)*u\/((u*u*u**(2\/9)*u*u)\/u)*u*u)**(-2\/41) assuming u is positive.\nAnswer: u**(23\/2952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/(i*i*((i\/i**(1\/4))\/i)\/i*i))\/(((i\/(i\/((i\/i**(-6))\/i))*i*i)\/i)\/i**(-4)))\/((i**0\/i)**5\/((i*i**(-6\/7))\/((i\/i**(-2\/21))\/i))) assuming i is positive.\nAnswer: i**(-563\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*d + 35, -q - 6 + 21 = 2*d. Suppose 3*b + 4*h = 18, q*h - 10*h = -2*b - 11. Solve -5*w + 5 + 11 = -v, -b*v - 2 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19866009?\nAnswer: 3, 31, 213613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23, 25, 29, 35, 43, 53?\n\"Answer: h**2 - h + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -32. Let v = k + 1. Solve 1 = j + z + 3, -4 = -2*j + v*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 13 - 4 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/13 + 6528*l**3\/13 + 77926*l**2\/13 - 396648*l\/13 + 312192\/13 = 0.\nAnswer: -3252, -16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/2 - 30\/12. Which is the smallest value? (a) 4 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21246583 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 17) + 33 - 32\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27848, 26909, 24376, 19451, 11336, -767, -17656?\nAnswer: -40129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -2)*4\/(-2). Let g(k) be the third derivative of 7*k**4\/24 + k**3\/2 + 388*k**2. Determine g(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.802 + -0.182. What is the closest to u in -3, 1, -1\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*i + 1357 - 1348, 0 = 2*i + 3 + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -22691 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/16)\/(4\/(8\/(-3)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44853361 by -2257.\nAnswer: -19873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-149)\/(16688\/1400).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ipihvzi. What is prob of sequence zhvi?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = p + 5*i - 181, -1155 = -5*p + 5*i. What is the remainder when p is divided by 76?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 9*z**2 - 13*z - 16. Let n be r(-8). Let g(k) = 2*k**2 - 5*k + 3. Let b be g(3). Calculate the highest common divisor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b3 (base 12) in base 5?\nAnswer: -14033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187 - 139. Which is greater: o or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0, 0.2, -1119?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/7 in 1, -7.5, 4, 3.04, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7295*d - 11. Let a(l) = 1461*l - 2. Determine 11*a(y) - 2*u(y).\nAnswer: 1481*y","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -27*k**5\/20 - 79*k**3\/3 - 119*k**2\/2 - 52. Let x(c) be the second derivative of q(c). Differentiate x(z) with respect to z.\nAnswer: -162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3\/4 - 195*o**2\/4 - 189*o\/2 = 0.\nAnswer: -63, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 35 - (1 - (-2 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 8 - 4 = 4*t, 4*t = -4*b - 8. Let a = 18 + -11. What is the second derivative of a*u - 9*u - t*u**3 - 9*u wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by 438\nAnswer: 51\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - l = 2*l + 252, 5*l - 363 = 4*f. Let d = -78 - f. Let s(r) = r**3 - 9*r**2 + r - 8. What is s(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -19 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5*sqrt(25)\/sqrt(5)*-2 - (2 + sqrt(720) + 0)).\nAnswer: 10 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1155 - 1020. Calculate the greatest common factor of m and 1080.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(280))\/sqrt(8))\/(sqrt(7) - (sqrt(49)\/sqrt(7)*6 + sqrt(7) + sqrt(7))).\nAnswer: -2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -147*211.3\nAnswer: -31061.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, -3, -1, 2\/13 in decreasing order.\nAnswer: 2\/13, -1, -1.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 4*j**2 - 13*j**2)*((4*j**2 + j**2 - 3*j**2)*(-16 - 3 + 4) - 3*j**2 + j**2 + j**2 + 0*j**2 + 0*j**2 + 3*j**2).\nAnswer: 392*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)\/(2\/1). Let y = 21 - 22. Let o = -2.4 - 0.6. Which is the nearest to y? (a) 1\/3 (b) o (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 36, 109, 242, 453?\n\"Answer: 3*t**3 + 3*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 + 5*w**2 - 2*w**2 + 1 - 2*w**2 - 1 - 3*w**2 + 4*w**2 + 0*w**2 + (-w - w + 4*w)*(w + 2*w - 7*w) as b*w**2 + p + n*w and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4047 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21572586 and 945216?\nAnswer: 9846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 235800 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/38460 and 46\/159.\nAnswer: 2038380","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 7:13 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 454538 - 454538 - 4*v**3 + v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*g - 19 = 0, 0 = 3*v + 2*v - 5*g - 5. Suppose -53 = -3*a + 2*t, -5*t = v*a - 2*a - 40. Suppose -5*r - a = -0*r. Put -5, -4, r in descending order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3\/7 (c) 1.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 13516968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, 73, -0.0081, -1\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 105 + -90. Calculate the least common multiple of 5 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -343*q + 1647*q - 10432 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 16) to base 4\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 278459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11499 to three dps.\nAnswer: 0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 360.468? (a) 2\/3 (b) -0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0, -2, -1, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 308?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253436 is divided by 104.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from jfff.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63485 + 25503 = 4*n + i, 66724 = 3*n + 5*i. Let j be (-5)\/(9\/n*6). Round j to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 2735850.\nAnswer: 38301900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11861456*i - 20833129 with respect to i.\nAnswer: 11861456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11964202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3 - 75 = -3*y, y + 2 = 0. Suppose 0*i + z = i + 4*l, -76 = -4*i + 4*l. Is 23 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1328*y - 2029*y - 1664*y - 1726*y - 854*y.\nAnswer: -7601*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + 49*i + 5. Determine f(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h + 39. Let u be y(-8). Suppose -4*x + u = f, -x + 3*x = -3*f - 9. Solve 4*r + 2*d = -d + x, 0 = -2*d + 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11792 and 880?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/(-6)*64\/12*-239. Find the first derivative of 6*l**2 - 2*l**3 + 7*l**2 - 172 + w*l - 1912*l wrt l.\nAnswer: -6*l**2 + 26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108)\/231 + (-12)\/(-42). Let c = 1293\/391 - 72\/23. What is the biggest value in 6, -3\/5, c, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 796, 1599, 3062, 5191, 7992, 11471, 15634?\n\"Answer: y**3 + 324*y**2 - 176*y + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/9)\/(((-20)\/6)\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - h**2 + h. Let z(q) = 3*q - 2*q**2 + 2*q**3 + 2*q**2 - 3*q**2 + q. Let d(b) = 4*f(b) - z(b). What is the third derivative of d(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**0*b\/(b**0*b)*b\/(b\/((b**(3\/4)*b*b)\/b))*b*b\/b**(-3\/2)*b)\/((b**8*b**(-2\/5)\/b)\/((b\/(b\/(b\/(b\/(b**(2\/13)*b)))*b*b))\/b**(1\/3))) assuming b is positive.\nAnswer: b**(-413\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -1)*(1 - 2\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 78929 and -3.55 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o + 4*i = 66, 4*o - 4*i = 60. Suppose o*g = 15*g + 147. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*p - 2*t, -3*t = p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99564532 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tseqssttetsq. What is prob of picking 1 q, 2 s, and 1 t?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 253914825?\nAnswer: -253914833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*q**4*r + 116728*q**2*r**3 + q*r**2 + 2*q + 62*r**3 + 58535 wrt q.\nAnswer: 120*q**2*r + 233456*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 3)*(-1 - 2 + 5)*(-2*x - 15 + 6*x + 11) in the form t*x + n and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 591\/15 + (-10)\/25. Suppose -f - 10 + 5 = 0. Let v = b + f. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 48. Let a = v + -19. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/7 - 810*b\/7 + 164025\/7.\nAnswer: (b - 405)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*i - 10 = 0, 2*q + 7*i - 3*i - 20 = 0. Suppose 5*j + q*j - 165 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03403 to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 5*g**2 + 4*g + 4. Let j be i(5). Let l be 2\/(-3 + 75\/j). Find the second derivative of 2*x - 4*x - 16 - 6*x**4 + l wrt x.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 38*j + 1. Let o = 2 - 1. Is 17 a factor of a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 0*z = -x + 7*x, 2*x + 0*x - 78 = 5*z - 9*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = -2*n + 58, -2*d - 20 = -n. What is the greatest common factor of n and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-7)\/d)**(-2\/35))**(1\/28))**(-13\/3) assuming d is positive.\nAnswer: d**(-52\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + -0.2. Suppose 5*w + 5*f = -20, 3*w = -f - 0*f - 6. What is the nearest to w in o, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 45 = -0*j. Let o = j - -16. Calculate the remainder when 19 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Put 0, 6, t in increasing order.\nAnswer: 0, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -19*k**2 + 1\/4*k**5 + 0*k**4 - 1 - 1\/24*k**6 - 10\/3*k**3 + 0*k. Determine x so that f(x) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3602779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70c - -2?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234\/31 or -7?\nAnswer: -234\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4799, 4800, 4801, 4802?\n\"Answer: b + 4798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.11 - -0.11. Let z = -0.23852 + 1.23852. Sort d, 10, z in ascending order.\nAnswer: d, z, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qwwwwwwqwwwwwqqwqw. What is prob of picking 1 q and 2 w?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, b: 1, c: 3, n: 4}. What is prob of picking 1 b, 1 n, and 1 c?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08289 + 554.33711. Round p to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37795591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, r: 1, s: 3, p: 4}. What is prob of picking 1 p and 3 s?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -243, -255, -251, -225, -171, -83, 45?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2271039 is divided by 79.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(8\/7)\/((a\/a**(1\/3))\/a*a)*(a**3)**41 assuming a is positive.\nAnswer: a**(2593\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 383389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.96 - 21. Let d = g - -0.54. Which is the nearest to 2\/3? (a) 0.1 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.7 - -14.6. Let c = 69 + -343\/5. Put c, 0.7, d in descending order.\nAnswer: 0.7, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822 greater than 2823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 110\/(-25) - (-6)\/15. Let m = 22 + -11. Let f = m - 5. Which is the second smallest value? (a) 0 (b) f (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7203\/52822)\/((-6)\/5764)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/3024 and -89\/210.\nAnswer: 15120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a6318 (base 11) to base 2.\nAnswer: 1000100100111011111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 - 2*n - 1. Suppose -6*x + 17 = -133. Let w = 38 - x. What is the remainder when u(-3) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85488 divided by -21372?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, 4, -5 in descending order.\nAnswer: 5, 4, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 3\/4, -5, -0.08, -31 in decreasing order.\nAnswer: 3\/4, -0.08, -1\/5, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 2*d + 4*d - 4. Let r be a(4). Let m(x) = -2*x**3 + 8*x**2 + 8*x + 8. Let w(v) = -v**3 + 3*v**2 + 3*v + 3. Calculate r*w(b) + 3*m(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/5 - 4\/(-10). Sort h, -6, -2\/11 in ascending order.\nAnswer: -6, -2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -305654 or -916963\/3?\nAnswer: -916963\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291595*r**4 - 17190378*r**2 wrt r?\nAnswer: 6998280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -177, -179, -181?\n\"Answer: -2*c - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7312 or -31\/5?\nAnswer: -7312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11240 - -17828. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a + 1119 + 9. What is the smallest common multiple of 8 and a?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - -0.87. Let x = -3869 + 3864. Which is the closest to f? (a) -22\/7 (b) 3 (c) x (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -6*q**3 + 1089*q**2\/2 + 63153*q\/2 + 7860 = 0.\nAnswer: -40, -1\/4, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u + u**2 - 13*u - 4 + 5*u + 3*u. Determine o(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 - 7*q + 1. Let u be i(8). Let t(d) = -d**2 + 7*d - 11. Let s be t(9). Let a = s - -101. Calculate the highest common factor of a and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2689 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110678 + -46035. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x. Let k be (17 + -12)*(-32)\/10. Let t = 18 + k. Let r(g) = 2*g**2 + 9*g**2 - 6*g**t - 3*g**2. Determine r(v(b)).\nAnswer: 338*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1474792782?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446423 is divided by 267.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 5. Which is the nearest to 0? (a) -4 (b) 6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 11*f**2 + 22*f + 29. Let u be w(-9). Let x(i) = -i**2 - 8*i - 5. What is x(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 54 = 2*v, -3*v = -3 - 6. Let n = u + 12. Let k = n - -3. Which is greater: 5\/4 or k?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4542*z**4 + 230 wrt z.\nAnswer: 18168*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 208078?\nAnswer: 1872702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 - 117. Find the first derivative of -w**4 + 61 + 65*w - 11*w - 65*w**2 + 65*w**v wrt w.\nAnswer: -4*w**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.965 (b) 4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0 - 1\/120*l**6 - 1\/2*l**3 - 1\/30*l**5 + 3*l - 4*l**2 + 0*l**4. What is p(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/3, -11, -5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 3*d**2 - 3*d**2)*(1 + 1 - 4) + (3*d - 7 + 7)*(d + 1 - 1).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7444 is divided by 7423.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 11*i**2 + 3*i - 127. Let j be y(10). Sort j, 5, -2, 1, 17 in increasing order.\nAnswer: -2, 1, j, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1827405302 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/14 - 1498686\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 68900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 367362320 and 44.\nAnswer: 4040985520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**5\/10 - 2*w**2. Let k(t) = 2*t**2. Give k(p(u)).\nAnswer: 72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6*m = 924. Suppose 0*f - 33 = -f. Calculate the highest common divisor of f and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1 + 5 - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)\/z**3)\/(z\/((z*z**(-1))\/z))**(-1\/13) assuming z is positive.\nAnswer: z**(-50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-76)\/8 + -4)*(-12)\/(-9). Put o, 5, -5 in increasing order.\nAnswer: o, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 17 = 53 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivuj. Give prob of sequence jiu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {k: 9, n: 2, z: 1, w: 7}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*b + 123*b + 0*b**3 + 12*b**3 - 10777 + 10777.\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -607233*u**2 + 300005 wrt u?\nAnswer: -1214466*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 173*c - 939563. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4503*v + 4490*v + 78 = 0 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) -0.1 (c) 2\/15 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = q + 4*j - 168, -332 = -2*q + 4*j. Does 12 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11770499 to 4 dps.\nAnswer: -0.1177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705 = -18*j - 633 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 15*k + 5*o - 18, -2*k = 3*o - 8. Which is smaller: k or -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*c = -19, -2*c = -0*c - 2. Suppose 0 = 3*h - 4*g - 2999, -a*h - 2*g - 1996 = -5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 40304.3.\nAnswer: 40308.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/54*6\/(-55)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.8 (b) -4 (c) 5\/2 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*w = 51*w + 252. Suppose 5*z + 2*s - 3689 = 0, -4*z + 2*z + 1472 = -s. Suppose w*y = z + 631. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g + 6*g - 2*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(0 - 1). Suppose f = -a - a. Solve 0 = w - 5 - a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*a + 8*a = 126 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 166023.04?\nAnswer: -49806.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1433025*g - 3*g**2 + 716518*g + 716507*g - 2*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t + 9\/2*t**2 - 13. Let i(p) = -3*p**2. What is r(i(z))?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 = -1. Suppose a*x + 66 = 2*z - x, 5*x = -2*z + 66. Calculate the greatest common divisor of 22 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.664 - -0.094. Let u = -1.5 - x. Let o = -3.93 - u. Which is the second smallest value? (a) -1 (b) o (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1100))**2 + -2 - sqrt(1100))*-1 - (3 + (sqrt(1100) + 0)**2 - (-6*(-2 + sqrt(1100)))**2).\nAnswer: -1390*sqrt(11) + 37539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166291.\nAnswer: 179, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 3, -0.3, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + -60. Let q = c - -32. Let r = q - -95. Which is smaller: -1\/23 or r?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 times -0.05\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-36) - 39\/(-18). Let t be (-6)\/15 - 6\/(-15). Suppose k - 1 = t, -l + 4*k = -2*l + 18. Sort m, -1, 4, l.\nAnswer: -1, m, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 28 = -0*t. Let f = t + -1. Does 12 divide (-202)\/f - (-5)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1695*g - 9 = 1692*g, -5*u = 5*g - 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -194256 or -194272?\nAnswer: -194256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1580 - 581. Let d = a + -686. List the prime factors of d.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101692283 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1434940 - 1434697.02285. Let t = w - 278.977208. Let a = t + 36. What is a rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54672636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 6635*g**3\/3 - 4*g**2 - 145*g - 2714. Find the second derivative of u(r) wrt r.\nAnswer: 13270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-592)\/2072 + 10740\/7?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 7:17 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + k + 2344931, 6*b - k = b + 2931163. Suppose -4*j + 9*j = -1131160. Let q = j + b. What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.04 (b) -3 (c) -2\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 1}. What is prob of picking 1 h and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 8*a - 7. Let l be 8 + (-3 - 9 - 2). Determine r(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-33)*(-803)\/(-146)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -33) + (-9 - (6 + -15 + 9)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -2, 79, 12 in increasing order.\nAnswer: -2, 1, 4, 12, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 255040242?\nAnswer: 255040234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 3:44 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 + s**2 - 5*s - 4. Calculate k(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13806502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2248 divided by -281.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, h: 5, o: 4}. Give prob of sequence hxx.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27599464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -25. Let h = 25 + k. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 + 1725*a**4 - 132580*a**3 - 8043840*a**2 + 710415360*a + 28247408640 = 0. What is a?\nAnswer: -44, -43, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 3:34 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*-1*(-11)\/(66\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a - 4664488 = -4668568 for a.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**2 - 18*g - 19 - 2 - g + 2*g. Let o be y(-14). Suppose 4*f - o = 3*m + 743, 0 = 2*f + 5*m - 1140. What is f rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 0*r**3 - r**3)*(-r + 3*r - r) + r - r**4 - r + 3*r**4 - 15*r + 15*r + (7*r - 3*r - 2*r)*(-r**2 + 2*r**3 + r**2).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/3, -5, -35, -345\/14.\nAnswer: -35, -345\/14, -5, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 2*i**2 + 2*i - 3. Let z be t(-2). Let b(j) = 2*j + 21. Calculate b(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 2, a: 13, d: 3}. Give prob of sequence waa.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20476 + -7786. Suppose g = 196*b - 178*b. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29*-1.2\nAnswer: -34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 3*p - 3. Suppose 4*f - 12 = -3*l, 0*f + 4 = l + 4*f. Let y(n) = n**2 - 4*n - 3. Give l*g(i) - 3*y(i).\nAnswer: i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b - 1. Let z(p) = -p**3 + p**2 + 3*p - 3. What is -3*f(w) + z(w)?\nAnswer: 2*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 + 8*r - 2. Let p(t) = -t**2 + t. Let y(d) = 6*p(d) - q(d). Let z(v) = 2*v**2 + 3*v - 3. Determine 3*y(w) + 2*z(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*z**5 - 17*z**5 + 17*z**4 - 11*z + 100*z wrt z?\nAnswer: -40*z**3 + 204*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c**2\/7 + 1128*c\/7 + 25272\/7.\nAnswer: 6*(c + 26)*(c + 162)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 111\/12*(1 + (-2 - -17)). Let g = 150 - s. Determine u so that -4\/5*u - 4\/5*u**g + 8\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 bigger than 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 5 = 23*c + 10. Let z(v) = v**3 - 8*v**2 - v + 5. Let f be z(8). Let o = -9 - f. Is o at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uui when three letters picked without replacement from iiississiuuuuuuiiusu.\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -528\/5 - -106. Which is the biggest value? (a) -2\/11 (b) g (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 158, 11, 4, -6, -36 in increasing order.\nAnswer: -36, -6, 4, 11, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-8) - 183\/12. Let z = w - -49\/3. Which is the closest to 5? (a) 3 (b) -0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8566 is divided by 136?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.1118 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5339165 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1434.897 and -0.5.\nAnswer: -717.4485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*j - 4*d, -4*j + 1 = 2*d - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 22*s**2 + 31*s + 422. Let a be o(-10). What is the highest common factor of 192 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -91. Let m = r + -39.8. Let z = 0 + 0. Which is the closest to 0? (a) z (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 g when three letters picked without replacement from {g: 1, k: 3, i: 6, r: 5}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.11 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 - 0.03?\nAnswer: 755.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 625 (base 7) to base 3\nAnswer: 102121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 2, w: 4}. What is prob of sequence aewe?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**2 + 9*n + 21. Let v(w) = -17*w**2 + 17*w + 42. Let c(q) = 11*r(q) - 6*v(q). What is the tens digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 + -8 - 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 6*m - 43. Let a be z(-11). Let i = 7 + -6. Let j = a - i. Which is smaller: 12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*c - 2, -3*f + 14 = -c + 2. Let l(g) = -8*g - 14. Let d(q) = -4*q - 7. Let b(i) = -7*d(i) + 3*l(i). What are the prime factors of b(c)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b270 + -240a?\nAnswer: -2067a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-155)\/(-10))\/((-2)\/(-232)). Let q = 3208 - n. Let b be 10\/((1\/q)\/1). Round b to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 3*h + 6. What is the third derivative of v**5 - 3*v**3 - v**h + 0*v**2 + 3*v**3 wrt v?\nAnswer: 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4124603125 - -2?\nAnswer: -4124603123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*w**2 + 0*w**2 - 2*w**2)*((1 + 1 + 0)*(3 - 4*w - 3) - 2*w + 5*w - w).\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1027\/298592?\nAnswer: 1027\/298592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5716190142 to two dps.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 121? (a) -4 (b) -3 (c) 1\/5 (d) -2\/21 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*x - 102*x - 89*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -397.23 - -23022.23. Let q = w + -22643.009. Let n = 18 + q. What is n rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814.584 + 3?\nAnswer: 4817.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c**2 - 2 - 33*c + 33*c. Determine q(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1638 (b) 0.1 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 89 in 0.3, -0.1, -4, 277, 0.03, -0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (((-39)\/(-195))\/((-6)\/(-15)))\/(1\/308)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -13*r + 58. Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17559 and 833530.\nAnswer: 851089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 1)*(8 - 7). Let z = p - 5. Let b = 9 - 4. Solve -2*f = -b - z for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 + -3 - 26) + (30 - -1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 7*h - 5115*h**2 + 5069*h**2.\nAnswer: -46*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -30. Let a = 6 + w. Which is smaller: a or -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-120)*-6)\/((-9)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5.1*0.327\nAnswer: 1.6677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1239 + -1058. Suppose 2*j + 4*m - 2 = 2, 5*j + 2*m = 10. Suppose -d = -j*d + 46. What is the remainder when g is divided by d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -155, 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 143651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 10*t**2 - 10*t + 12. Let a be o(-11). Is a at least -15\/199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:36 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by (2 - (-14)\/(-10)) + 14484\/510?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49991862 - -0.2028753.\nAnswer: 49991862.2028753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56622665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -16. Let d(x) = -x**2 + 11*x + 14. Let r be d(p). Solve r*h + 0*h = -j + 6, 0 = j + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0, 2.4, 3\/4, 0.564?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -618659\nAnswer: -1\/618659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -1\/3*z**3 - 5\/2*z**2 - 7 + 0*z. What is r(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y - 16. Let m(u) = u**3 + 6*u**2 + 7*u + 3. Let n be m(-5). Calculate the remainder when l(n) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -17. What is the highest common factor of p and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.96 - 3. Let r = -196 + 191. What is the second smallest value in r, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147591\/35 at least 4216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 4*d**2 + 3. Let b be v(-4). Let k(r) = 2*r - b + 3. Let x(n) = -4*n + 2. Let h(l) = -l + 1. Let i(o) = 2*h(o) - x(o). Give i(k(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*d - 22, 22*a = 19*a + d + 26. Let p(x) = -x**2 + 17*x - 30. Calculate the least common multiple of p(14) and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Suppose 5*r + 2 = w*r - 4*d, -5*d = 2*r - 8. What is the remainder when 25 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wow when three letters picked without replacement from oooojwwwwwjjo?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561935.\nAnswer: 5, 11, 17, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.067682? (a) -5\/4 (b) 1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((175 - 6*v - 175)*(0*v + 3*v - 4*v) + 6*v**2 - v**2 + v**2)*(-4*v + v + 4*v) in the form a*v**3 + l*v**2 + b + o*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1372105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/9 - 50*b**3\/9 - 52*b**2\/9 = 0. Calculate b.\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135*d**4 - d**3 + 1318*d**2 - 444898*d - 11?\nAnswer: -1620*d**2 - 6*d + 2636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*l - g, 4*l - 14 = 3*g + 23. Solve 2*i - 5 = l*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpjjjpbb. Give prob of sequence bfpp.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -11.45. Let w = v + 0.5. Let g = w - 0.066. Round g to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/y**(-3))\/((((y*y**13)\/y)\/y)\/(y\/(y**(-3\/13)*y*y))) assuming y is positive.\nAnswer: y**(-368\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-1))**30*(m*m**(-3)*m)\/((m\/m**0)\/m)*(m*m**0*m)**(1\/19)*m*m**(1\/7)\/m*m**1 assuming m is positive.\nAnswer: m**(12003\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/143*11)\/((2\/(-244))\/(7\/(-14)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55535141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -177\/172, -5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5523 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 188394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 180717 + 1?\nAnswer: 180718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(51) + (sqrt(7344) - sqrt(7344)*1))\/(-6*sqrt(48)) + 2)*1)**2.\nAnswer: -sqrt(17)\/3 + 9233\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*((-70)\/45)\/(-14)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664005379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 1 + 3 + 0)*(-1 + 1 + 5*i + (-2*i + 4*i + 0*i)*(0 - 2 + 0)) to t + v*i + x*i**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 4*c + 7. Let m be j(-3). Let q = 4 - 6. Let g be (-1*3\/(-3))\/(m\/q). Which is bigger: g or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*l - 21. Let p(r) = -3*r**3 + 3*r**2 + r - 2. Let g = 6 + 5. Calculate the remainder when p(l) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -74. Let u = x + -31.0000007. What is u rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-78)*(-3 - -1). Let z = -37\/39 + r. Put -5, -0.3, z in ascending order.\nAnswer: -5, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126.96 + -0.04. Let r = -26 - d. Let x = -101.00089 + r. What is x rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:41 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21497?\nAnswer: 7, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16*s**2. Let p(f) = 9*f + 10. Let m(v) = -5*v - 4. Let y(w) = 5*m(w) + 2*p(w). Give y(j(r)).\nAnswer: 112*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 3*z)*(0 + 2 - 3) + (0 + 2 + 0)*(2 + 3*z - 2).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 17, 2 in descending order.\nAnswer: 27, 17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77078 divided by 34.\nAnswer: -2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*14\/1 - (-2 - -2). Let g = s - -6. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2 - 2. Let g(h) = h**3 + h**2 + h - 3. Determine g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 3*b**2 - b**2)*(0 - 11 + 3)*(-3 - 2 + 3).\nAnswer: -80*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 13*p - 2 + 5*p + 6*p - 5*p - 18*p. Give v(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 = -10. Factor 15*t**4 + 3 - 18*t + 3*t - 3*t**5 - 18*t**2 - 30*t**3 + 48*t**u.\nAnswer: -3*(t - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((4\/(-14))\/(184\/322))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let h = 265 - 264. Let b be -1 - (2\/5 - 36\/(-10)). What is the closest to h in b, 1.1, p?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, v: 5, a: 3}. Give prob of sequence vma.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/990 - -997\/6930. What is the second biggest value in x, 0, -5.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38053080 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**2 + 2*l. Suppose -51 = -3*i - 9. Let u(c) = -14*c + i*c + 3*c. What is d(u(o))?\nAnswer: -36*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012113203 - -2?\nAnswer: -1012113201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 0, 1, 0.4, 2\/3, 84?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 + 15*w**3 - 5*w**2 - 15*w = 0. Calculate w.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -225729 or -1805841\/8?\nAnswer: -1805841\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -929 - 703 = -16*p. Calculate the highest common divisor of p and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 37*g**4\/4 + g**3\/3 - 2*g**2 + 2*g + 18. What is the tens digit of y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 34*d**3 - 2*d**2 + 7*d - 5. Let u be m(4). Suppose 1349 + u = 4*a. Let y be 1*a - (-1 + 0). Round y to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 4*j**2 - j - 4*j**3)*(549*j**2 + 105469 - 105469).\nAnswer: -2196*j**5 - 549*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 16*k + 8. Let j be f(-12). Let w = -30 - j. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -703 - -698. Let h be 4*d\/40*(1 - 11). Solve -x = 3*m - h*x - 3, 2*x = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -28. Let h = 6454888207.99999983 - 6454888180. Let r = h - q. Round r to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -504 + o**4 + 2*o**3 + 502 + 2*o - 2*o**3 to w*o + h*o**3 + j*o**4 + c*o**2 + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -24 in decreasing order.\nAnswer: 1, -0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 283661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z. Let n be (36\/(-20) - -3)\/((-6)\/(-40)). Let v(g) = -40*g**2 - n*g + g + 7*g. Determine i(v(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fif when three letters picked without replacement from tfpfpvfftppfvfoip?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.072, 4, 1\/3, -0.25, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z - 5 + z + 4*z**3 + 0 + 9 - 5*z**2 + 0. Let p(u) = -u**3 + u**2 - u - 1. Calculate -5*p(j) - v(j).\nAnswer: j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. Let x be (-38)\/160*14 - (-26 - 6624\/(-256)). Sort h, 0.4, -1\/2, x in descending order.\nAnswer: 0.4, -1\/2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/12, -39, -2, -0.071?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i - i)*(-7 + 3 + 2)*(-12 - 7 + 4) as p*i + z and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 i, and 1 p when three letters picked without replacement from {p: 4, x: 5, i: 7}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 648, 73 in descending order.\nAnswer: 648, 73, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -2939?\nAnswer: 293c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*d = -872, 5*p - 53*d = -52*d + 2216. Calculate the remainder when p is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5222 or -1\/83?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3961 - 1246. What is the remainder when b is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1133 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = k - u, -u - 14 = -4*k + 2*k. Let z(y) = -y**2 + k*y + 0*y - 3*y + 1. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 2*k + 11, 2*s + 2*k = -190122 + 190118 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213 - 445. Let n = -230 - v. Solve 12 = 3*f, -n*t - 4 + 22 = 2*f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n + 0 - 1\/60*n**5 - 36*n**2 - 1\/120*n**6 - 1\/2*n**3 - 1\/8*n**4. What is u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - r + 2 = 4, -10 = -5*r. Suppose -l*m = m. Solve 10 = -m*i - 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -10*o + 14. Suppose -66 = -o*c + 60. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**3 - 2*f**3 + 4*f**3 + (-4 + 2 + 1)*(-4*f**2 + f**3 + 4*f**2) + (38*f**3 - 280 + 280)*(-2 + 7 - 3).\nAnswer: 73*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 228*p**2 - 4927*p - 30040. Give l(203).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4\/3, 0.3, 1, 174?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 11*s**2 + 2*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 3, w: 4, s: 4, k: 4, c: 2}. Give prob of picking 1 f and 3 w.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111128106 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -25*d + 2. Let q be y(0). Solve q*u + 8 = 4*t, 0 = -3*t - 0*t + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -51. Suppose j = -k*j + 48. Suppose 20*t - 64 = j*t. Solve -q - 7 = -o, q + t = -3*q - 2*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 9. Let v be u(7). Suppose -7*n = -v*n. Suppose 2*h + n*h = 118. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(168\/(-13998)) + (-3)\/(-12). What is i rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24545 less than 3?\nAnswer: -24542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7644*h**3 + 7479*h**3 - 1977*h**3.\nAnswer: 13146*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*g - 172 = z, 5*g - 435 = -5*z. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 19*h**2 - 5*h + 5. Let k be z(18). Let n = k + -138. What are the prime factors of n?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 6*v**2 + 8*v - 4. Let x(l) = -3*l + 5. Let c be x(0). Does 22 divide y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/870 and 36\/319.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 183, 161, 125, 69, -13, -127, -279?\n\"Answer: -z**3 - z**2 - 12*z + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.1. Suppose 0 = 4*s - 6 - 10. Let v be (-14)\/(-10) + s\/(-10). Put d, v, -2\/13 in descending order.\nAnswer: v, d, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g + g - 18. Suppose -s + 26 = d, d + 3*s - 4*s = 32. Calculate the remainder when d is divided by (-8)\/((4 + -6)\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 25 = 5*r - 140, 2*r = 5*y - 440. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -n - 23. What is the remainder when 102 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*r**2 + 2*r**3 - 5 + 5.\nAnswer: 2*r**3 - 820*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3594722 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (984\/(-369))\/(2\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1115.\nAnswer: 1\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*3*-2.\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 15 = -0*n. Let q be 0 - (2 + 0 + -4). Suppose -n*p - 42 + 6 = -q*t, t + p - 4 = 0. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1973 + 9829\/5. Let a = -115 - -218. Find the common denominator of i and a\/(-2)*3\/(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10656342 divided by 3?\nAnswer: 3552114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 83 - 83 - 8*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/20 - 9\/20. What is the third smallest value in c, 2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -47. Calculate the highest common divisor of a and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -72. Which is the closest to 1? (a) z (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71395?\nAnswer: 5, 109, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5149981?\nAnswer: 43, 229, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaxoxxaoaxaa. What is prob of picking 1 o and 3 a?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 5. Let j(r) = 6*r + 6. Let i = 11 - 6. Suppose -q = -i*q + 28. Let d(p) = q*k(p) + 6*j(p). Differentiate d(t) wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 - 8*q**2 - 16*q + 8. Let k be w(7). Let g = k - 128. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 + 1. Suppose 3*r + 11 = 2*w, 4*w = -3*r - 3 - 2. Let o be y(w). Let s = 7 + o. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.213968 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -5, -6 in increasing order.\nAnswer: -6, -5, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -147*w + 118*w**3 + 150*w - 2 - 115*w**3 + w**2 + 61*w**4 in the form c + x*w**2 + d*w**4 + t*w + p*w**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3002 + 2943. Put f, 2, -2 in ascending order.\nAnswer: f, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -603, -44.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:12 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 + -125. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3351)\/(-21) - (-12)\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127051292 to the nearest integer?\nAnswer: 11272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -49. Let i be z - (11 - 3)\/(-2). Let h(t) = t**3 - 4*t**2 + 2*t + 3. Is h(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:11 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/(-175) + (-2261)\/(-175) + -13\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950) + (sqrt(950) - 1*sqrt(950)))\/((sqrt(192)\/sqrt(8))\/sqrt(12) - sqrt(2) - sqrt(2)) + -5.\nAnswer: -5*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/180 and 173\/1170.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 12:49 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5087 = -1146. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937324 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -377, -1384, -3029, -5312, -8233, -11792?\n\"Answer: -319*f**2 - 50*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2 - t**2 + 2. Let p(c) be the first derivative of -4*c**3\/3 - 2*c + 4244. Give o(p(u)).\nAnswer: -16*u**4 - 16*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 + (-2 - -7). Suppose -8*z = -6*z. Suppose -t*n = 30 - z. Let b(w) = 4*w**2 + 6*w + 6. Let p(o) = -11*o**2 - 17*o - 17. Determine n*p(q) - 17*b(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 165365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7038\/(-1224) + (10\/8)\/(-5)*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3932*p + 6782*p - 1288*p + 33*p + 3824*p - 127*p)*(4*p**2 - p**2 + 3*p**2).\nAnswer: 78936*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 1540?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 240068, 240057, 240046, 240035?\n\"Answer: -11*x + 240079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 36 + 366. Calculate the common denominator of ((-53)\/s)\/((-180)\/25 - -6) and -109\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -2 - (1 - (10 + -5))) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -76, -308, -732, -1378, -2276, -3456, -4948, -6782?\n\"Answer: -5*g**3 - 66*g**2 + g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 261885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1131311, -2262490, -3393393, -4523882, -5653819, -6783066, -7911485?\nAnswer: -9038938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -605390 - -17213722.\nAnswer: 16608332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 120 - -20 - -26) + -11 + 3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7086292 times -22?\nAnswer: -155898424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 189607*t**2 + t + 3. Let s be w(3). Let b(j) = -699082*j + 43. Let m be b(7). Let x = s - m. Round x to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8495 - 33909\/4. What is the common denominator of i and 39\/653?\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155.095 - -0.095. Let g = -141.1153 + -0.0847. Let i = g - f. Round i to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c04 (base 13) in base 12?\nAnswer: 182b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 163, 151, 129, 91, 31, -57, -179?\n\"Answer: -n**3 + n**2 - 8*n + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5180018674 - -5180019129.0000229. Let h = -455 + c. Round h to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133\/107 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**4 - 2*f**3 + 271*f**2 wrt f.\nAnswer: -120*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 8*s = 2*p - 14060, -18748 = -4*s - 3*p. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 2\/69 (c) -4\/7 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 2:42 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/62 or -11?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 13)\/(30\/(-40)). Suppose -13*c - j = -15*c. What is the remainder when c is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**4 - 117*z**3 - 587*z**2 wrt z?\nAnswer: 48*z - 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -14 + 20 + (-5 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 66.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1800*b**4 - 6*b**2 - 46*b**2 + 2*b - 1801*b**4 + (-9*b**2 + 1 - 14*b + 14*b)*(-3*b + b**2 + 3*b).\nAnswer: -10*b**4 - 51*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1718470.916602 + -1718530.3. Let s = w + -3.616854. Let f = -63 - s. What is f rounded to 5 dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -36, -25?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1077 and -1.047?\nAnswer: 1127.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/13)\/(i\/(i\/(i\/i**(1\/4)))))**(-1\/17)\/(i**(-2\/9)*i**(2\/13)*i**(5\/2)*i*i**(-4\/7)) assuming i is positive.\nAnswer: i**(-156581\/55692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 1600*m**2 + 320000*m.\nAnswer: 2*m*(m - 400)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 5:47 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 4*d - 3*d + 8, -d - 6 = -4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.9 - -14. Let l = 1\/1122 - -733\/16830. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*g + 31*g - 3395 for g.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 - 6*v + 8. Let h(l) = -6*l**2 + 5*l - 7. Suppose 0*p + 6 = p. What is p*h(z) + 5*a(z)?\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 5*o + 2 + 2 - 9*o. Let x be j(4). Let q = -7 + x. Let v(c) = c**2 + 3*c. What is v(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 6. Let p be (-4)\/(-10) - (-172)\/20. Let r be (-1)\/(-2)*(-1 + p). Solve -o = -x, 0*o - r*o = -f*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84497 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 2 (b) -31\/36 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1 + 1 - 2 + 1. Let q(l) = -l - 5. Let f(d) = 10*n(d) - 2*q(d). Let w(t) = -4*t. What is w(f(z))?\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 + -192. Let q = 0.24 + 0.06. Let i(g) = 2*g**2 - 4*g + 2. Let k be i(2). Which is the nearest to -3? (a) k (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -256*h**2 + 165*h + 1890. Let k be s(-14). Round k to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.4 - 0.3. Let v = n + -5. Let t = -0.2 - -0.1. Put v, t, -1\/2 in decreasing order.\nAnswer: v, t, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 281887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -38*w - 132. What is the remainder when z(-6) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54859853*x**4 + 6071*x + 7232 wrt x?\nAnswer: 658318236*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2 + 52*k + 54. What is n(-20)?\nAnswer: -2586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let d be (-22 + y)*(-67)\/6. Let k = -237 + d. Find the common denominator of k and 27\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7123 - 7118. Solve 2*z + g = 7, 0 = -d*z + 13*g - 17*g + 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1412\/117 - -10861\/6552. Let x be (54\/(-16))\/((-2)\/6). Let v = t + x. What is the smallest value in v, 0, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u - 54. Let l be o(0). Let h = l - -120. Is 33 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1246210 = -23*q - 11*q + 2629212. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8635 and 2431495?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2808)\/91)\/(-72)*8\/6?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - -1) + 0\/(6 + 3). Solve 0 = p*c - 10, -2*c + 6*c = 3*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 713 + -629.8. Which is bigger: -0.8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, z: 1, w: 1, o: 7}. Give prob of sequence zwo.\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595*o + 522*o + 490*o - 3148*o + 466*o + 690*o.\nAnswer: -385*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 828320 to the nearest 1000.\nAnswer: 828000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.6? (a) 0.2 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 3*i**2 + 2*i**5 - 4*i**5 + i**5 - i**5 + (19 - 19 - 19*i**2)*(8*i**3 + 0*i**3 - 4*i**3).\nAnswer: -78*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 554*v + 20597. Determine c(35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1831574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 11*d = 48. Calculate the remainder when (-208)\/(1*-2) - 0 is divided by (d\/(-16)*0 + 1)*21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-7)*z*z**(1\/8))**(2\/29) assuming z is positive.\nAnswer: z**(-31\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - 29) - (-2645 - -2673).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = -12*o + 60. Let z = o + 75. Calculate the remainder when z is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5*q + 13. What is p(8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 1*(-3 + 5). Let j(y) be the first derivative of -y + 0*y**2 - 2 + 1\/3*y**f. What is the first derivative of j(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 330506272 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 78*u - 35. Let l(d) = 155*d - 58. Determine 6*l(m) - 10*r(m).\nAnswer: 150*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from {c: 4, s: 2, a: 2, o: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (35 - -5)*2389*-1. What is the units digit of o\/(-104) + 12\/78?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72266380 to the nearest 100000.\nAnswer: 72300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 268\/43961 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 9*m + 2. Let l be b(-7). Solve k + l = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/18)\/(2\/9). What is the remainder when 14 + (3 + -2)*d is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 180 = g + 13, 0 = 5*y + 4*g - 290. What is the remainder when 593 is divided by y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 16. Let n(f) = f - 7. Let q be n(3). Let m(k) = 2*k - 4. Let p be m(q). Calculate the remainder when 54 is divided by d(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -457*f**3 + f**4 + 3994452 - 110*f**3 - 4755432 - 19816020 + 106590*f**2 - 7726751*f + 1192651*f.\nAnswer: (f - 190)**3*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plpplpplpplplppppl. What is prob of sequence pllp?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 906, 3008, 7092, 13818, 23846?\nAnswer: 37836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 123*l + 40*l - 186 + 151.\nAnswer: -83*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*k - 193*k + 145*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 8. Let x = -2 - j. Let i = 0 - 0. Sort 1, i, x in ascending order.\nAnswer: i, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 11, h: 1}. Give prob of picking 1 w and 1 h.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/8 + 581*v**2\/8 - 10897*v\/8 - 68885\/8.\nAnswer: (v - 23)*(v + 5)*(v + 599)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2990\/2093)\/(8\/364)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2 and ((-3)\/120)\/((-4)\/(-296))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 152140?\nAnswer: 152133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + v**2 - 2*v**2)*(v + 0 - 2*v + 1) - v**3 - 1 + 1 + 4*v**3 + v**3 - 4*v**3 in the form x*v + c + n*v**2 + t*v**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -3. Suppose j = -3*h, 2*j + 7 = b*h - 1. Suppose 3*o + h - 7 = 0. Solve o = 5*i - 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - -98681.\nAnswer: 98681.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*a - 27, -4*u - 13 - 15 = 4*a. Let i(c) = -46*c - 294. Let s be i(-6). Let d = u - s. What is the remainder when 27 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-25)\/(-2) - 0)*-2. Does 61 divide j*(-49 + 1 + -4 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 2}. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -9*m - 1. Let t be k(-1). Let x = -4 + t. Let o = -26 - -22. Which is the second biggest value? (a) -2 (b) x (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 828 divided by 12.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2\/2 + 12*b + 45\/2 = 0. What is b?\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 252954573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.3, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -281*d**4\/12 + 157*d**2\/2 - 2*d - 8. Differentiate g(n) with respect to n.\nAnswer: -562*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40146607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0424 - 30121.51076497?\nAnswer: -30121.46836497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-825)\/(-40)*-8*(-3)\/486 and -5\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9606, 9625, 9676, 9777, 9946, 10201, 10560, 11041?\n\"Answer: 3*u**3 - 2*u**2 + 4*u + 9601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -100*u. Let k(o) = -9*o. Let l(h) = 65*k(h) - 6*q(h). Let g(r) = 2*r. Calculate g(l(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, 1 k, and 1 x when four letters picked without replacement from ktxkkur?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 - 199. Solve 3*n + 0 = -j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 353145 and 30.\nAnswer: 706290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*t - 461*t + 257*t - 581*t**2 + 0 - 1 to the form i*t**2 + x + c*t and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 8 = 4, -f + 373 = 3*s. Let k(n) = -n**3 - 3*n**2 - 3*n + 119 + 3*n**3 - s. Let q(w) = -w**3 + w**2 + w + 1. Calculate 2*k(z) + 6*q(z).\nAnswer: -2*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-9 - -10 - 6) + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/162 and 11\/130752.\nAnswer: 1176768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462102 is divided by 101.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -1, 15, 31, 47, 63?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 86?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 8*s + 10. Suppose 3*d + 14 = -d + 2*q, -3*d + 5*q - 28 = 0. Let f(x) = -76*x + 161*x - 77*x + 1. Let b be f(d). Calculate k(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 64 = -u. Suppose -t + 35 = u. What is the greatest common factor of t and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, u: 1, b: 1, i: 1}. What is prob of sequence oobb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 17. Let c = h + -14. Let n be (1 + 0)*(-3 - c). Solve n = 3*u - 5*u - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5450\/(-25))\/1)\/(8\/4).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-3 + -49 + -2 + 4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5842 (b) -2 (c) -2\/9 (d) 5 (e) 4 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 - 1036639*t**3 + 2073202*t**3 - 1036679*t**3.\nAnswer: -116*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -3, 21, 963, 0 in ascending order.\nAnswer: -6, -3, 0, 5, 21, 963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37993618?\nAnswer: 2, 13, 1461293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -10 - (-1 + 1). Let q(s) = -s + 5. Let b be q(k). Factor b - 12 - 2*d**2 + 2*d.\nAnswer: -2*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-7)\/((-154)\/(-4)). Let l(i) = -i**2 + 4*i - 1. Let r be l(3). Suppose 0 = 2*g - r - 0. Is w <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337.\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.5, -14, 2\/9 in decreasing order.\nAnswer: 0.5, 2\/9, 1\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -245.26.\nAnswer: 24.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 - 112\/(-58) - (-1245833151)\/4553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -53041?\nAnswer: -53045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 4:03 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*n**2 - 39*f*n + 36*f - 970*n**2 + 2*n wrt n.\nAnswer: 4*f - 1940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-7)\/(315\/(-13383)) + 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, -2 in decreasing order.\nAnswer: 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 4*g + 5. Let a be q(-5). Let w be 3*(220\/(-33) + 0 + a). Is w > -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyo when three letters picked without replacement from aaaadooavayaaodao?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2313045.6 to the nearest 1000.\nAnswer: -2313000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114131438568727\/21540 - 5298581161. Let y = -2\/5385 - q. Calculate the common denominator of y and 109\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 92 = -2*s, 10*r = -577*s + 576*s - 78 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82230505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most as big as -73146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.2415 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/317 and -7\/71?\nAnswer: 22507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -14 - 30 - (24 - 27) - 2) + 2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/12 + x**4\/24 - x**3\/3 + 13*x**2 - 17*x. Let v(s) be the first derivative of q(s). Calculate v(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 3*u - 12. Let d(f) = f**3 - f**2 - 2*f + 11. Let n(j) = 6*d(j) + 5*t(j). Suppose -6 = -g - 2. Suppose b - g*b = -15. What is n(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.84 - -0.664. Let g = a + 0.17600287. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/28)\/((n*n**(6\/11))\/n))\/(n**(1\/14))**(6\/31) assuming n is positive.\nAnswer: n**(-909\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 16*v**2 - 13*v - 10. Suppose -2*f - 2*g = 36, -50*f = -51*f + g - 12. Calculate u(f).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 9:07 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.88 + -22.88. Put -2, -2\/7, x, 108 in descending order.\nAnswer: 108, -2\/7, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1724360 and 18967972\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (22 + -15)) + -36 + 82\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1595, 0, 1, -2 in descending order.\nAnswer: 1595, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*p - 12, -y + 0*y = -4*p + 10. Suppose 0 = y*k - k - o - 29, k - 2*o = 4. What is the remainder when 3 - 4 - (-1 - 11) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 349\/(-13) + 32\/(-208). Let s be (y\/90)\/((-12)\/(-10)). Which is the second biggest value? (a) s (b) -0.2 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (832492*d - 5 - 5 - 832515*d)*(0 + 2 - 1).\nAnswer: -23*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27 - 45 - -155 - 60\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*n + 358 = -472 + 218 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 668 is divided by 230?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 23*z + 7*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + q = 9, 3*g = 2*q - 13 + 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y. Suppose -2*p + 4*p - 38 = y. What is the remainder when 92 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 549 - 389. Suppose -14*a = -16*a + m. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2231618 is divided by 1115807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55352 and 264?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 4367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62352938 rounded to 2 dps?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 2*q - 5*q)*(-6 + 5*q + 6) + 3*q**2 + 5*q - 5*q.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 207*k**3 - 660*k**2 + 864*k.\nAnswer: 3*k*(k - 72)*(k - 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**24*(g\/(g**(2\/5)\/g)*g)\/g)\/(g**11\/g)**(-39) assuming g is positive.\nAnswer: g**(2078\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-5)\/25*0. Suppose 0 = -4*c - 20, t*y + 5*y + c - 40 = 0. Differentiate 9 - 12*f + f - y*f + f with respect to f.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2496, -9942, -22342, -39696, -62004, -89266?\nAnswer: -121482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1638529978 to 3 decimal places.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 29*c + 20. What is p(-31)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196 - -198. Suppose -3*b + f + 11 = -6, 4*f - l = -2*b. Solve b = -z + 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*m**2 + 356\/5*m - 15842\/5.\nAnswer: -2*(m - 89)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5888283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10707 + 17426. List the prime factors of o.\nAnswer: 7, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 710145144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:44 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*o - 4*h - 40, 3*o - h = 46. Let s = -16 + o. Let g = -332 + 6316\/19. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*k - 148564 - 70362 = 403629. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-3102)\/(-693))\/(132\/(-693)))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 216. Let o = -146 + s. What are the prime factors of o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 44.1 and 0.027.\nAnswer: 44.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**2\/2 - 12*m + 21. What is b(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 17. What is the common denominator of 45\/22 and 4\/(-18) - (-1734)\/(-4320)*x?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(3\/1))\/((-25)\/(-125)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i + 12 = 3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, r: 3, e: 1}. What is prob of sequence ez?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15524, 29028, 42532, 56036, 69540?\n\"Answer: 13504*p + 2020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 528*0.5\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**2 + 40 + 8*g - 63 + 83 = 0 for g.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2*q**2 + 23*q + 31. Let h be x(5). Solve -4*d = -5*a + 25, h*d + 0*d - 5 = -a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670 a factor of 42242578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - q)*(30*q - 63*q + 29*q) + (-6 + 6 + 3*q)*(-q - 9 + 9).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22210110 (base 3) to base 11.\nAnswer: 48a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1*x)**(7\/3)\/(x*x\/x**(-2\/3)*x*x*x*x*x**(-1)*x) assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 393866992 to the power of 1\/2, to the nearest integer?\nAnswer: 19846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -23*b - 2*b - b. Let d(o) be the second derivative of -3*o**4\/4 + 4907*o. Give d(x(t)).\nAnswer: -6084*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -19. Suppose -5*q - 230 = 29*p - 24*p, 4*p + 209 = q. Let k = s - p. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1846 and 95417255.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 17*s**2 - 1. Calculate the remainder when 29 is divided by b(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 525 - 510. Calculate the remainder when 282 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2239194?\nAnswer: 2, 3, 373199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196263877*u**2 - 3 + 3 + 196263570*u**2.\nAnswer: -307*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20765 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*t + 320*t - 24*t + 17*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 527 = -625. List the prime factors of (-72)\/j - (-2138)\/16.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 878. Let c(a) = a + 16. What is -4*c(r) - v(r)?\nAnswer: -r - 942","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(228)*2)\/((sqrt(12) + sqrt(12)*-2)*6).\nAnswer: -4*sqrt(19)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00035 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - j**2 - 2*j - 4. Let q be p(-3). Let a be (-339 + 335)\/(-2 - (-138)\/75). Solve -q = -4*b, 5*o + b - a = -3*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11)**(-33)\/(q**(-11))**2 assuming q is positive.\nAnswer: q**(-341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 55100\/5328)*(-484)\/(-778). Let i = 2\/14393 - c. What is the common denominator of 54\/7 and i?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6 and ((-1)\/(-3))\/((-40)\/(-267))?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Suppose -3*s - 9 + 21 = 0. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49170 (base 11) to base 7.\nAnswer: -413146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 275157950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -532 by -133.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3597, 2\/5, -4, 31, 3, -15\/2 in increasing order.\nAnswer: -15\/2, -4, 2\/5, 3, 31, 3597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42815, -7\/5, 5?\nAnswer: 42815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1017284 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3666311*j**2 + 441*j + 344?\nAnswer: 7332622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.81 in 0.3, -2.61, -4, -1, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.35 - -0.35. Let o = -1.9952 - j. Round o to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 127. Calculate the highest common divisor of z and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - o**2 + 1858*o - 2891*o - 3303*o.\nAnswer: -o**2 - 4336*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 + -93. What is the remainder when 7 is divided by 12*4\/c*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 163, 158, 153, 148?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 116 = -340. Solve -6 + h = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 + 4*r - 3. Let y be v(-6). Let k = y - 118. Suppose 5*s - k = -33. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b - 25. Let l(m) be the second derivative of -m**4\/12 + 5*m**3\/6 - m**2 + 1176*m. Let y be l(b). Sort 0, y, 1, -1 in increasing order.\nAnswer: y, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*g + 264, 0 = -4*w + 3*w + 3*g - 66. What is the common denominator of (2\/8)\/(3\/(-266)) and (1 - 3\/w) + -3?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011 + -101?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -800 divided by -5\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -11 - -4) + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 3)*(-38*f**3 + 24*f**3 - 16*f**3).\nAnswer: -90*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6281 - 5293. Does 52 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7039.811 micrograms to grams.\nAnswer: 0.007039811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -161826, 22, 4, 5 in increasing order.\nAnswer: -161826, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -681480, -1362975, -2044486, -2726019, -3407580, -4089175, -4770810?\nAnswer: -5452491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 427.3091km?\nAnswer: 42730910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19147, -19150, -19153?\n\"Answer: -3*n - 19144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1681*q - 84042. Calculate r(50).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - 0. Let f(d) = -d + m*d - 5 - 2. Let i = 377 + -371. Give f(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 170.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1034232926 to three decimal places.\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2996)\/10486)\/(3\/609)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6782065 is divided by 87?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 211152 or -6?\nAnswer: 211152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004062 rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -0.2, -166, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41702627 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 818 - ee6?\nAnswer: -6cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -3 (c) 21 (d) -5\/3 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*r - 5*i - 12, 2*r - 14 = 2*i. Solve -2*k = r*v, 3*v - 2*k + 8 = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*b + 64959 = 8*b, 5*b - 25 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2618.\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = -18. Suppose 5*d + 5*v - 395 = 0, 61 = d + 11*v - 16*v. Suppose -y + 3*w = 3*y + d, -y - 10 = -3*w. Which is bigger: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**3\/6 + 3*v**2\/2 + 27*v + 1. Let q = 23 + -28. Determine p(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.18 rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1365186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -407+3\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -ddfce3 (base 16) to base 10\nAnswer: -14548195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -25 + (-19 - -24)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose -5*o + 48 + 7 = 0. Suppose 7*q + 12 = o*q. Calculate the highest common divisor of q and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:30 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*y - 202*y - 185*y.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 11 + -3 + 0 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(-2\/31))\/o)\/o*o*o**(-28))\/(o*(o\/(o*(o**2\/o*o)\/o))\/o*o**(-9)) assuming o is positive.\nAnswer: o**(-529\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 120.6314725 and -6.\nAnswer: 114.6314725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 - 4*i**2 + 5*i**2)*(-24 + 5 + 12)*(-6 + 4 + 3 + (3 + 1 - 2)*(-2 + 0 + 3) - 2 + 3 - 2)*(4 + 3*i - 4) to u*i**2 + o*i**3 + z*i + c and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 756020072 and 5288?\nAnswer: 5288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6907 by 6.\nAnswer: -6907\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-75)*35*(-6)\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87770 and 230560.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 47*q + 1554 = 0. What are the prime factors of q?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, -0.3, -0.26?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17292 (b) 418 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5)**45)**26 assuming x is positive.\nAnswer: x**5850","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 16 = -4*p, 4*p + p + 5*r = -10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z - 7. Let i be 2\/(-9) + (-124)\/9. Suppose n = 5*w - 21, -2*w + 0*w = -4*n - 12. Let l(s) = 11 - s - 2 - 7 - 4. What is i*l(x) + w*f(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 + 7*p + 3*p**3 + 5*p + 0*p**3 + 18 - 14*p**2. Let v be y(13). Solve v*n + 1 = 26 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1936)\/(-14) + (-8)\/28. What is the hundreds digit of 3 + l + -10 + 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f + 1. Let x be c(1). Suppose x*t - 6 = -t. Let o be (-4)\/(-60)*t\/(-1). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a centimeter in micrometers?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1252 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000712144321 to seven decimal places.\nAnswer: 0.0000712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 1. Let g = a + 8. Solve 0 = -2*c - g + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 945 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10956 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 2*g + 311*g**3 + 3*g + 2*g**2.\nAnswer: 311*g**3 + 2*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 411 = -204. Solve 0 = 3*m + p - 50 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 3*v**4\/4 + 2*v**3\/3 - v**2 + v - 2. Let s be x(1). Let -7*u**3 + u**3 + 3*u + 8*u**2 + 2*u**s - 2*u**2 - 5*u = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/125)\/((-6)\/(-10)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x - 300*x**3 + 3*x - 89*x**3 + 7*x.\nAnswer: -389*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {y: 1, h: 3, g: 7, m: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4571 and 42.\nAnswer: 27426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 9*b**2 - b - 5. Let a(z) = -26*z**2 + 3*z + 14. Let q(s) = -4*a(s) - 11*c(s). Let m(p) = p**2 - 5*p - 1. Let h be m(5). Determine q(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1 + 0 + 7 + 4*k**3 - 8*k**2 + 0*k**3. Let t(i) = 4*i**3 - 7*i**2 + 5. Let q(d) = -6*t(d) + 5*z(d). Find the third derivative of q(f) wrt f.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-18)\/3)*0. Suppose p = h - 3 + 2. What is the second smallest value in 2, h, -4\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18 + 14)*(-1)\/6. What is the third smallest value in d, 2, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20123210030 - -123?\nAnswer: 20123210213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -88, -90, -90, -88, -84, -78?\n\"Answer: j**2 - 5*j - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117718071 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.635916 months?\nAnswer: 0.0802993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -741, -1661, -2947?\nAnswer: -4599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 807 = 0. Suppose 2*j = 345 + i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 92 and 2896.289021.\nAnswer: 2988.289021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 226799808.\nAnswer: 1133999040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27808 and 786208.\nAnswer: 8648288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3 - 1. Let r(b) = 19*b + 4. Let u be r(2). Suppose 30 = -p*l - u. Round l to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:44 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(204)\/((sqrt(108) + (sqrt(108) - sqrt(108)*1) + sqrt(108) + sqrt(108))\/sqrt(9)).\nAnswer: sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*y**5 + 16*y**4 + 343*y**2 - 3*y - 1 wrt y.\nAnswer: 12060*y**2 + 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + 48\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/21 (b) 1\/3 (c) 1\/5 (d) 0.4 (e) -5 (f) -254\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -844*i**2. Let v(j) = 71*j - 36. Let d(s) = -8*s + 4. Let l(g) = -90*d(g) - 10*v(g). What is l(u(x))?\nAnswer: -8440*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*n + 6 = 0, 3 = 4*h - 32*n + 37*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -377 + 380. What is the smallest common multiple of 5 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 168 = -2*s + 3*w, -3*s - 5*w = -268. What is the remainder when s is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2365093, -2365092, -2365091, -2365090, -2365089?\nAnswer: -2365088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -336918\/211 > -1596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a gram in milligrams?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + 5 + 8*h**2 + h + 3*h**2 - 11*h**2 + 2*h**3 to w + a*h + s*h**2 + m*h**4 + d*h**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 205 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2720 = -31*u + 116*u - 0*u for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 6*i + 333 = -v + 252, 4*i + 86 = -3*v + 3*i for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 19 = 16411*z - 16419*z, -57 = 2*z - 5*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15462686 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -35*o**2 + 2*o + 99101. Is b(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49 - (-319)\/(-1015)*-155)*7\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 205*0.3\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*p + 9, 5*r = -14 + 4. Let j be p - 3*260\/252. Suppose 4*y = -4*z + 16, -3*y + 7 = -z + 3*z. Which is smaller: j or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -11. Suppose v = -0*v + j. Solve -4*d = -4*x - 12, d - x = 6*d + v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-2 + 2 - 2*i**2 + (-7 + 5 - 7)*(1 - 1 + i**2)).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 1 + 3 - 3 + (-2*s + 4 - 4)*(3*s - 3*s + 2*s))*((2 + s**2 - 2)*(0*s + 4*s - 3*s) - 2*s**3 + 0*s**3 - 2*s**3).\nAnswer: 18*s**5 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11, 5, 6 in descending order.\nAnswer: 6, 5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(156)\/sqrt(3)*2)\/sqrt(4).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.65204 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 13*z**2 - 11*z - 7. Let n be a(7). Let g be (-2)\/(95\/n + (-2)\/7). Is -5 + (-93)\/(-18) - 9442\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/(45 + 211))\/((-65)\/(-8)*(-9)\/(-15)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 1 + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - h + 20 = 0, -2*i + 4*h - 2 = -5*i. Solve i*q = 2*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*a = 38 - 141 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(2\/(4\/42)). Suppose 0 = 2*m - 3*m - m. Let b be m\/((-5)\/(-10) + (-2)\/(-4)). What is the nearest to 3\/2 in b, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4773\/516*30\/37?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3*h**3 + 2044*h - 2044*h.\nAnswer: 3*h**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77556 divided by -2.\nAnswer: 38778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 14*t + 17. Let g = 1820 - 1833. Determine r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 5, 1\/13 in decreasing order.\nAnswer: 54, 5, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 776*a**3\/3 + 67*a**2\/2 + 4*a - 26. Is z(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14305 - 13859. What is the remainder when o is divided by 94?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -5 - 1) + (1 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6163559 is divided by 5513.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -0.1, 19, 1\/2, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-28)*2296\/(-9840)*(-3)\/(-15)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 0 + 2*y**2 + 53\/2*y**3 + 14*y. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1.2 (b) -0.041 (c) 2 (d) -2\/11 (e) -88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.93 + 216.07. Let m = -126 + s. Let y = m - 92.99999953. What is y rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 282\/7 (b) -2 (c) -0.29 (d) -0.3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*n - 4*n = -3673, 2*n + 10 = 0. Let t = -332 - c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -2 + 1858\/(-1572). Let p = s - -2\/131. Which is the third smallest value? (a) p (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 10*g = -4. Suppose 5*h - 4*a + 0*a = 2, 4*h + g*a = 12. Calculate the smallest common multiple of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 4*m**2 - 3*m - 6. Let u be h(-4). Solve u*s - 3 = 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5543254 to the nearest integer?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/218 and 93\/23670658.\nAnswer: 23670658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 218 = 88. Calculate the remainder when i is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/30 - t**4\/6 + t**3\/2 - 7*t**2. Give r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-3))\/((-1)\/(-2)). Let h(k) = 6*k + 2. List the prime factors of h(o).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 32 - 23 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7663 and 1067?\nAnswer: 84293","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 176\/2 - (1 - 18\/6). Suppose 5*a + p - 189 = -p, 4*p = 2*a - z. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 12:31 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.09 times 7701?\nAnswer: -46899.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 - h**2 + h - 1. Suppose 3*m - 1 - 2 = 0. Give n(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10479 = 294*u + 987 for u.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.142217529 rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*v = 3*v - 9, -4*w - 2*v + 18 = 0. Suppose 326091 + 1233909 = w*c. Round c to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6814292057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/8, 4, -134, -1\/5, -0.28?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 z when four letters picked without replacement from {z: 6, x: 4}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8254 and (9\/12 + (-9)\/6)*(-8928)\/(-1296).\nAnswer: 24762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.04124434 and 30 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 5\/14, 1\/4 in ascending order.\nAnswer: -1.3, 1\/4, 5\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 z when three letters picked without replacement from {v: 4, z: 1, s: 3, e: 6, m: 2, b: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5\/k)\/(k*k**(-2\/9))*(k\/(k*k**5))\/(k**(4\/7)*k))\/(k**(2\/9)*k\/(k\/(k\/(k**5\/k)))*(k\/(k*k\/k**(-2\/13)*k))\/k**6) assuming k is positive.\nAnswer: k**(690\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 4, 0, -0.08?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 17 + 21 - 850*h.\nAnswer: -850*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 2, d: 1, x: 4, b: 1}. What is prob of sequence de?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(2\/(-21)*3). Suppose -17*r + 4*x = -16*r - 5, -4*x - 11 = r. Sort r, -4, o in increasing order.\nAnswer: -4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 182*u**2\/11 - 752*u\/11 + 760\/11.\nAnswer: 2*(u - 2)**2*(u + 95)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 23455920.\nAnswer: 70367760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1978, 2267, 886, -2165, -6886, -13277?\nAnswer: -21338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 58364?\nAnswer: 10\/14591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -77690 rounded to the nearest 1000?\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m - 2*m + 2*m**2 + 2*m**2 + 15*m in the form l*m**2 + p*m + n and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14975*k**2 - 6395 wrt k?\nAnswer: 29950*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/21)\/m**(-36)*m**48\/(m\/(m*m*(m\/(m**(-27)\/m)*m)\/m*m*m)*m*m) assuming m is positive.\nAnswer: m**(2395\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Determine k, given that -8 - 4*k**3 + 0*k**3 - 44*k - 48*k**2 + 5*k**3 + 3*k**3 + 16*k**i = 0.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2441202 to the nearest integer?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1113 and -0.1?\nAnswer: 111.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and -0.3.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**6 - 132*m**5 - 558*m**2?\nAnswer: -120*m**3 - 7920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*c - 88 - 122. Let a(o) = o**3 - 5*o**2 + 5*o + 2. Let k be a(4). Solve v - c = k*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - (sqrt(180) - (-3 + -5*sqrt(180))) - (3 + 4 + sqrt(180)) - (4*(sqrt(180) - sqrt(180)*-2*6) + 4))**2.\nAnswer: 9744*sqrt(5) + 605716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m\/((m*m**(-2))\/m)*m))*m**2\/m)\/(m*m**(-1\/5)*(m\/(m*m**(-2\/27)*m*m))\/m))**(-1\/12) assuming m is positive.\nAnswer: m**(-1097\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/7 - -2\/7. Let g = 10 - 11. Let z = g - 2. Which is the second biggest value? (a) s (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(150\/(-810)*(-12)\/10). Solve s = -16*q - 53 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 429 + -428.99997718. What is u rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -51, -63?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2657 - 2690. Let f be -24*-2*(0 - -1). Let n = y + f. Calculate the remainder when 56 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of -p**4\/24 - 4*p**3\/9 + 5*p**2\/4 + 9*p - 1279. Factor d(v).\nAnswer: -(v - 3)*(v + 2)*(v + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 8:17 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 15) to base 2\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zmzzmimzzzimzzzzzi.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d**4*o + 2370*d**2*o**2 - 5865*o**2 - 8 wrt d?\nAnswer: 16*d**3*o + 4740*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Let k(g) = -1. Suppose 3*s + 2*s + 90 = 0. Let w(y) = y**2 + 9. Let m(d) = s*k(d) - 2*w(d). Calculate m(j(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96)\/(-18) + -1 + -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 93, 142, 191, 240, 289?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 75\/9 - (-2)\/(-6). Let p be (-22)\/b - (-5 + 2). Find d such that 0 + p*d**2 + 0*d + 1\/4*d**4 - 1\/2*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 5*o - 109, -554351 = -2*y + 5*o - 554448 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -19*p - 7. Let c be j(-2). Suppose -m + c = -274. Suppose 4*w = 203 + m. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846*g - 2 + 0 - 855*g.\nAnswer: -9*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3827*o - 49758. Give b(-13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(10) - 4*sqrt(90)))\/(sqrt(2) - sqrt(128)*2) + (((sqrt(10) - sqrt(90)) + sqrt(10))*4)\/((sqrt(22)*-1)\/sqrt(11)).\nAnswer: 16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 977.9607 nanometers to centimeters.\nAnswer: 0.00009779607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (17 + 1 - 27)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-5)*4250\/340\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5176*k**2 + 2577*k**2 + 2595*k**2. Let n(a) = 2*a**2 - 21. Give n(m(d)).\nAnswer: 32*d**4 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 73433374?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**5\/2 - 49*b**3\/6 + 47*b + 21. Let h(j) be the first derivative of g(j). Find the second derivative of h(i) wrt i.\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3088987 is divided by 104.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/7)\/((-8025)\/53928))\/((-12)\/40)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 2:59 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -78, -145, -270, -471, -766, -1173?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 26*h**2 + 96*h.\nAnswer: -2*h*(h - 16)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 4*v**2 + 2*v + 3. Let l be i(-4). Let g(o) = -3 + 1 + 1 + o + 3. Let w be g(l). What is the second biggest value in -0.2, -2\/5, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 369 + 281 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 18 = -4*s, -w + 2*w = 5*s + 26. What is the common denominator of (-8 - -9)*(-118)\/14 and 1 - (34\/s + 2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -14, -22, -32, -44, -58, -74?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-2\/13)*t**(-1\/2) assuming t is positive.\nAnswer: t**(17\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 13) to base 5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*m**3\/7 - 507504*m**2\/7 - 304497*m\/7 = 0. What is m?\nAnswer: -33833, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 2*v, 0 = -2*a + 5*a + 3*v. Solve 3*g = -a*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24832627 is divided by 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poooobiobb. What is prob of sequence ipo?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - w - 1. Let n(j) = 4*j**2 - j - 3. Let s(i) = -n(i) - y(i). Let g be s(3). Let p = g + 54. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -11155\/9 = -1239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/10 + (-162)\/(-405). Sort -9, -2, -28, r.\nAnswer: -28, -9, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8966977?\nAnswer: 8966977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 1. Let l(t) = -t**2 + 8*t - 5. Let r(p) = 3*c(p) + l(p). Let q be r(3). Solve 0 = -3*h + 12, -h + 28 = -q*v + 4*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-3000)*12)\/(6\/1260).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6489804437 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 12*g - 229. Suppose 199 = -2*b - 413. What is the remainder when (b\/9)\/((-2)\/2) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 425585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (y**2 - 3*y**2 - 6*y**2)*(-1 + y + 2 + 1) as n*y**3 + i*y + d + u*y**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**2*n - 228*i**2 - 24*i*n wrt n?\nAnswer: -i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 0. Let t be 4 - -6*6\/(-9). Suppose t = i + 5*n + 5 - 38, 5*n = 2*i + 9. What is the lowest common multiple of a and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10421 (base 5) to base 10\nAnswer: -736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*m**2 - 6*m - 17*m**3 + 3*m**4 - 4*m**4 + 5*m**3 - 121*m**2 to the form f*m**3 + q*m**4 + v*m**2 + d*m + y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*h - 3)*((11*h - 13*h + 5*h)*(-h - 3 - 3*h + 2*h) - 5*h**2 + 8*h**2 + 2*h**2) to the form y*h**3 + f*h + w + v*h**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, 1 p, and 1 b when four letters picked without replacement from {p: 3, y: 2, b: 1, i: 1, f: 1, u: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43630532 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Are 1275\/2156131 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**3\/6 - 4*g. Let z(p) be the third derivative of p**5\/15 + 3*p**2. Calculate z(f(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16536 = 914*f - 1449 + 3517 - 10210 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-4\/7))*g*g*g**(1\/5)\/g)\/(g**6\/(g**(-2\/23)\/g)))**11)**50 assuming g is positive.\nAnswer: g**(-571890\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -179c084 - 2?\nAnswer: -179c086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/7 - 610*p**2 - 64429*p\/7 + 94270.\nAnswer: (p - 4285)*(p - 7)*(p + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1 - 2)\/1. Suppose -2*z - 12*w + 8*w + 6 = 0, -4*w = -3*z - 21. Which is greater: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -357147883 + -5?\nAnswer: -357147888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 183, 217, 269, 345, 451?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 70*t - 456. What are the prime factors of n(30)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109987, 109988, 109989, 109990, 109991, 109992?\nAnswer: 109993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2. Let s(h) be the third derivative of -h**5\/15 + 17*h**2. Calculate i(s(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8581*g - 8581*g - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2289.1 - 2289. Sort -0.4, 12\/17, h, 2 in descending order.\nAnswer: 2, 12\/17, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (570 + -573 + 1 + 13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k - 10*k + 23*k - 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 85 = -5*w. What is the remainder when 31 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.3. Let i = 57 + -227\/4. What is the second smallest value in v, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -71, 77819, -1\/7, 0.08?\nAnswer: 77819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - i - 71 = 0, 0*n - n - i + 69 = 0. Suppose -90 = -5*m - 3*s, -2*m + 5*s = -5*m + n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55 by 6.\nAnswer: -55\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + sqrt(325) + -1 + sqrt(325) + -3 + 1 + 5 + 4 + (0 + sqrt(13) - sqrt(13))*2)**2.\nAnswer: 180*sqrt(13) + 2961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93963.67 decades?\nAnswer: 11275640.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 + 5*c + 14. Let a be z(7). Suppose a = n + 27 - 31. Suppose -208 = -5*h + j, -3*j - 2 = n*h - 157. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 35*s = -67*s + 15096. What is the least common multiple of 918 and s?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((58\/(-4930))\/(15\/75))\/(2\/(-8)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 549123.7 hours in minutes?\nAnswer: 32947422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 12:34 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194633*s**3 - 102667*s wrt s?\nAnswer: -1167798*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 2)**2 - (-2*sqrt(108))**2.\nAnswer: -281 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(63\/(-42))*(-154)\/(-4). Solve f = 13*k + 51 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1.2. Let r = 0.9 - c. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r + 3*r**2 + 2 - 5 - 2. Let u be (5 - 0) + 20\/(-4) + 5. What is the remainder when s(u) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 84 - 72. What is the smallest common multiple of 18 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from cvsqszvvqzpv.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -757357, 3, -2 in decreasing order.\nAnswer: 3, -2, -757357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1066734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184867 = 2483*u - 2482*u + 5*g, -4*u - 4*g + 739564 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/14 and 71\/348?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**5 + 19*b**4 - 7*b**3 - 23*b**2 + 11*b + 4 = 0.\nAnswer: -1, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4364826 (base 10) to base 16\nAnswer: -429a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efg when three letters picked without replacement from emmmbmmgbmbgbfm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.75 - -0.85. Let n = -16 + y. Let x = n - -2. Sort x, -0.1, -4\/7 in decreasing order.\nAnswer: -0.1, x, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from {s: 5, w: 1, z: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3 = 2*h, -3*h = -h - 6. What is the tens digit of (139 - (-2 + 0))\/(f + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 315 = 794. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:38 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/7, 1.724 in descending order.\nAnswer: 1.724, 3\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2 + -1)*(-148)\/(-24) and -59\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*r**3 - 108*r**2 + 336*r + 196.\nAnswer: 4*(r - 7)**2*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 16412506 divided by 3\nAnswer: 16412506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3228, -2928, -2646, -2382, -2136, -1908, -1698?\n\"Answer: -9*x**2 + 327*x - 3546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 4 - (-33 - -33)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkl when three letters picked without replacement from cckakaalcaaa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16644.81 months in years?\nAnswer: 1387.0675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*p - 3*o + 3, 0 = -4*p - 5*o + 2. Let i(q) = q**3 - 2*q**2 - q + 5. Let l = -3 + 3. Let b be i(l). Solve p + b = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 115\/4 - 2\/(-8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*j**3 - 6*j - 2?\nAnswer: -558*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 3. Let v be s(2). Let a be (0\/3 - v)*4. Suppose 84 = 2*z + 20. What is the greatest common factor of a and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u - 3*u)*((2 - 1 + 1)*(0 + 2 - 5) - 4 + 2 + 3 + 37 + 44 - 113) as x + j*u and give j.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1992 times 4953?\nAnswer: 986.6376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/21, 3\/8, 1.719 in decreasing order.\nAnswer: 1.719, 3\/8, 1\/3, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + ((-12)\/4 - 1). Suppose -3*j - 3*x - 9 = 0, -2*j + 3*j = o*x. Sort 1, 4, j, -5 in increasing order.\nAnswer: -5, j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -5 (c) -1 (d) 8\/1027 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l + 11. Let x be c(11). Suppose -2*r + 8 = -x*r. Calculate the remainder when r is divided by ((-11)\/(-22))\/((-1)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 - 18*s**3\/7 + 36*s**2\/7.\nAnswer: 2*s**2*(s - 6)*(s - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1677 by -13.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334542 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 7:55 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23436773159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49887, 49878, 49869?\nAnswer: 49860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/4 - g**3\/3 - g**2 + 168*g - 17. Is 14 a factor of d(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 152 + -49. Let m = -91 + o. Let f be -1 - (-4 + 1 - 0) - m. What is the nearest to 1\/5 in f, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 0*i**2 - 3*i**2 + (2*i - 2*i - i)*(2*i - 3*i + 0*i) - 3*i + 3*i + 3*i**2 - i**2 + 3*i + 41 - 22 + 0*i.\nAnswer: 2*i**2 + 3*i + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 395, 261, 125, -13, -153?\n\"Answer: -n**2 - 131*n + 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*p - 5)*((-5 + 4 + 2)*(1 + 0 - 2) - 2 - 2 + 3 + 3 - 2 - 3 - 1 + 4 - 4 + 5 - 1 - 2 - 5 - 17 - 17).\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*f + 14*f**2 - 138*f + 36*f + 27*f.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -34. What is the second smallest value in -7, 3\/2, d?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1886 and 820?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1672229207 + u**3 - 1672229207.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 56\/16*1*8\/28*7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f + 20. Let h be x(7). Calculate the greatest common divisor of 410 and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1013003 + 0?\nAnswer: -1013003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**6\/120 - h**5\/15 + h**4\/4 + 3*h**3\/2 + 2*h**2 - 4*h. Let d be g(-5). Solve 0 = -2*l - 12 + d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5 - 26\/(-12)) + 43\/258.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-624)\/(-1092))\/(2\/(-35))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/19, 0.2, -46, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -1 - (-1 - -10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80593*t**3*v**6 + 2*t**3*v**3 - 4*t**3 + 5161*t*v**2 wrt v?\nAnswer: 9671160*t**3*v**3 + 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -76. Let j be ((2 - 2) + 2)\/1. Factor -1 - j*v**3 + 0*v**3 - 2 - 1 + h*v.\nAnswer: -2*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - 45*b**3 - 112*b**3.\nAnswer: -164*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 196723, 5 in descending order.\nAnswer: 196723, 5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 2*d - d)*(2 - 2 + d) - 2*d + 2*d**2 + 2*d + 2*d**2 + d**2 - d**2 + (3 + 2*d - 3)*(-237 + 237 - 51*d) as j*d + a*d**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -0.4022311?\nAnswer: -14.5977689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.1. Let n = 664.5 - 371. Let x = n + -295. What is the closest to 1\/2 in x, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3172\/7 or -454?\nAnswer: -3172\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -6155.2.\nAnswer: -6158.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 80*o + 16. Is s(2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + 0 + 54 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5*x - 26 + 16, -13*l + 60 = -4*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 290635 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1. Suppose 0 = -3*g + 3*n + 2*n + 13, 4*g - n = 23. Calculate the lowest common multiple of l(0) and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -195, 0, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 553445 a multiple of 355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2996, 5990, 8984, 11978, 14972, 17966?\nAnswer: 20960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0 + 0*x**2 + 1\/6*x**4 + 2\/3*x**3 - 13*x. Factor b(u).\nAnswer: 2*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*g - 2*g + 5*b, -6 = -2*b for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*m + 29123 + 6369 = 0 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 621191 + 0.2.\nAnswer: 621191.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/20 + i**4\/2 - i**3\/3 - 4*i**2 - i. Let u be h(-6). Let t(c) = 2 + 3*c - c - u. Give t(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 220720*b**2\/3 - 12189476372*b\/3 + 1119564430832\/3.\nAnswer: -(b - 110314)**2*(b - 92)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 1.79648286463\nAnswer: 2.19648286463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -18 - (-32 + 0 + (10 - 9) - 1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 4*w - 7*w - 1 - 2*w**2 - 5*w**2. Determine p(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 4*s**2 + s + 9. Let i be d(4). Calculate the highest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6352 and -12?\nAnswer: -76224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*y + 66. What is the lowest common multiple of 4 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwkm when four letters picked without replacement from krkrmkksrsksksmkw?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001001 + 11100111?\nAnswer: -100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - u - 30 = 0, 435*u = 436*u + 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -132*w**6\/5 + 863*w**5\/10 - 4*w**2 - 66*w. Find the third derivative of g(c) wrt c.\nAnswer: -19008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 13 = -41. Suppose -60 = -b*a + 2*a. Calculate the highest common factor of a and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19944 divided by -554.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 11*j**5\/30 - 3*j**3\/2 + 18*j**2. Differentiate s(t) wrt t.\nAnswer: 44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctwc when four letters picked without replacement from {t: 2, c: 4, w: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 8*h - 8. Let a be ((-14)\/(-6))\/((-3)\/(-144)*4). Suppose q + 2*z = -2*q + a, 4*z - 38 = -3*q. What is d(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 1:38 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 83 in descending order.\nAnswer: 83, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/30)\/((-1)\/(-24)). Which is bigger: 3 or b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/7 + 128 + -130.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -9, 1\/4, 0.1, 0.3, 17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(-1 + sqrt(567) + 4))**2 + 4.\nAnswer: -36*sqrt(7) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -6 (b) 4\/55 (c) 0.4 (d) 45 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52733 - -4.\nAnswer: -52729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -125. Suppose -5*k - 37 = -1477. What is the greatest common factor of q and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 11:26 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 49 (c) 2 (d) -0.09 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -104*(-12)\/96?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 2230\/(-62) - 58\/1798?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/7))\/v*v)\/v*v**(-6\/13) assuming v is positive.\nAnswer: v**(-16\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - -1) + (-8 - -4). Suppose d*w + 4 + 24 = 0. Suppose 0*x = -2*x - 8. Which is the closest to x? (a) 0 (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhummffymhuumhum. Give prob of picking 2 u.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 27 = -2*o - 0*o, 5*o - 5*f = 55. Is (2 - -379)*2\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -195 and 0.0521?\nAnswer: -10.1595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1376 and 25732318.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -213*x - 9378. Calculate the remainder when w(-47) is divided by 97.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 11:33 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181.9557 + -182. Let v = m + 9.0443. What is the second smallest value in -0.01, -3, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 55\/2 of a second?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 17*w + 34. Let z be r(-2). Solve p - 9 = 4*p - 3*d, z = -4*p - 2*d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10054 is divided by 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, j: 3, u: 4, s: 1, l: 3}. Give prob of sequence ull.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from tfsssssssstsstss?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 2, 10, 24, 44, 70, 102?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 7 (b) 3 (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 27*p - 103. Calculate the lowest common multiple of s(-22) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 - 2 = 0. Solve a - 2 = t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 19 + 0*d - 2*d**2 + 11 + 12*d + 0*d. Let z be b(14). Solve 4*u - z + 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -29, -38, -51?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -12. Let f(a) = a + 17. Let b be f(x). Let n(i) = -i**2 + 6*i - 7. What is n(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*k + 181 = 0, -3*k + 55 = -5*q + 239. Factor 8*z**2 - q*z**2 - 8*z - 4*z.\nAnswer: -3*z*(9*z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 4 = -15*f. Let m be (9\/f)\/(13\/156). Calculate the highest common factor of 72 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57372 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: Is 54521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 2\/5 (c) 3 (d) -121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}