diff --git "a/data/dm_maths/full_data_1/1603_11255.jsonl" "b/data/dm_maths/full_data_1/1603_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1603_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (o\/(o\/o**(-4\/9)*o*o)*o)\/(o*o**1)*o**(-2\/9)*o\/((o\/o**(4\/3))\/o) assuming o is positive.\nAnswer: o**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -847, -1636, -2409, -3160, -3883?\n\"Answer: g**3 + 2*g**2 - 802*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*a - 374*a - 705 - 371*a - 372*a + 1485*a - 482.\nAnswer: a - 1187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1721 rounded to 2 decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2616, -2617, -2618, -2619, -2620?\n\"Answer: -u - 2615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324*j - 3637 = 341*j - 55402. Calculate the smallest common multiple of 3480 and j.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - (7 + -7 - (9 + -43)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/48 and -1\/14120.\nAnswer: 84720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**4 + 2*r**3 + 2*r**2 - r - 4. Let h(q) = -q**4 + q**3 + q**2 + q - 1. Let l(w) = -2*h(w) + i(w). What is the second derivative of l(z) wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**4\/8 - f**3\/3 - 4*f**2. Calculate the remainder when 20 is divided by t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 14*m**2 + 30*m + 32. Let d be z(16). Suppose -29*w + 32*w - 342 = d. List the prime factors of w.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, -1021686, 3.\nAnswer: -1021686, 3, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472098 by 9.\nAnswer: -157366\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y. Let z(s) be the second derivative of -1\/6*s**3 + 2*s + 0*s**2 + 0. Determine i(z(d)).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291565 is divided by 11231?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 4*x, 0 = 7*w - 4*w + 4*x for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, k: 5, j: 1, t: 3}. What is prob of sequence tww?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20\/51 + 1\/17. Suppose l + 2*o + 10 = 0, 6*l - 2*l + 2*o = -10. Suppose -4*u - 6 + 2 = l. Which is greater: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21165850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -1223, -4154, -9927, -19508, -33863, -53958?\nAnswer: -80759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 3*b**2 - b - 4. Let x be f(4). Let l(g) = -g**3 + 8*g**2 - 1. Let u be l(x). Which is smaller: 3\/58 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + (2*sqrt(567) - sqrt(567)) + 4 + sqrt(567)))**2*-3.\nAnswer: -27228 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26656 + 12348 = -310*m + 19172. Let g(h) = 3*h**2 - 5*h + 1. Calculate the remainder when m is divided by g(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 13. Let k be j(17). Suppose -197 = -2*q - n, k*n + n - 313 = -3*q. What is the remainder when q is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 0.1, 8, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -q - 10, 0 = -3*q + 3*t + 13 - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 728 + -11577\/16. Let x = -5\/14894 - -23625\/14916341. Let s = 45879\/152228 + x. Find the common denominator of t and s.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2511\/1953 - (-172)\/(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*b - 28, -3*b + 12 = -4*j + 2*b. Suppose -2*a = -a - j. Suppose a*g + n - 30 = 2*n, -g + 18 = -2*n. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 357 divided by -39\nAnswer: -119\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62995 = 19*q + 10916. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37163071 + 11173071. Round w to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1341940.444 to the nearest one thousand.\nAnswer: 1342000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5822815714.\nAnswer: 2, 2911407857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by -1.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1402854.\nAnswer: 2, 3, 229, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754161383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1204 + 2331023014?\nAnswer: 2331021310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 274123159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -292134498*i**4 + 935546315*i?\nAnswer: -3505613976*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085308 rounded to three dps?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/3 + 14*g**2\/3 + 199*g\/3 + 184\/3 = 0.\nAnswer: -8, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*o + 32 - 32 + 52*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**2 + 1. Let x(d) = 8*d - 2. Give a(x(w)).\nAnswer: -704*w**2 + 352*w - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -2202676.\nAnswer: -1321605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from wwxwwhkiw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-50)\/(-8) - 3\/12. Find the third derivative of 4*l**2 - 2*l**5 + x*l**5 + 0*l**5 - l**2 wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16745 by 3349.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/66)\/((-83)\/(-3984)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*k - 38, -4*k + 4 = -5*k. Suppose x - 101 + y = 0. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 14. Let h be o(-3). Is h less than 5\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21*2\/8*18\/(-60).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 4*s + 2, k + 3*s = -k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3408622138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219 by 3.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/114 and 13\/2480526.\nAnswer: 2480526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(66)\/(2*sqrt(6) + sqrt(6)) - sqrt(11)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.2, 0.5, -0.3, 76?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6060845?\nAnswer: 5, 7, 23, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - q**2 + q**2 + 0*q**2 - q**2 - 4*q**2 + 2*q**2 - 3*q**2 - q**2 - 2 + 2 - 2*q**2 + (0*q + 0*q + q)*(2 - q - 2).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.71 - 15.21. Let n = 357 - 372. Let x = u - n. What is the second biggest value in 5, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -5. Find the common denominator of 106\/60 + 1*7\/(-1) and (-2)\/84*(g + 169).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 86817798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0 + 15\/(-18))\/(180\/1350). Suppose -11 = 2*r - 1. Is r smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*t + 7 = 7*t, 4*w - 20 = -4*t for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfqmqfoffqfmm. What is prob of sequence omq?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -12. Suppose -2*o - j + 10 = 0. What is the greatest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 1. Let u = 2 - b. Solve u*j - 4*j - 2*h = 5, 5*j - 2*h - 17 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(0*r + r + 2*r) + 32*r - 21*r + 40*r + 2 to the form q + v*r and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20703 - -20673. Put -15, -4, b, -2, -4\/7 in decreasing order.\nAnswer: -4\/7, -2, -4, -15, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/((-31)\/31 + (-5)\/(-2)). Let h be ((-57)\/(-190))\/(k\/(-10)). Sort -2\/13, h, 2\/21.\nAnswer: -2\/13, 2\/21, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13216043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29842, -29574, -29306, -29038, -28770, -28502?\nAnswer: -28234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**3 + 60*w**2 + 21*w - 55. What is the remainder when q(-19) is divided by 310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1413\/109 - 1667017\/128511. Let g = -55523\/12969 - x. What is the common denominator of g and -11\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*f - 93*f - 156. Let n(r) = 8*r + 109. Let a be n(f). Solve 2*j - 2*s + 21 - a = 0, -4*j - 12 = s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 2 + 46\/17. Let o = -27\/34 - n. Let i = -1074.4 - -1074. Which is the smallest value? (a) i (b) -7\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/5 + 2*z**2 + 12*z\/5 - 18\/5.\nAnswer: -2*(z - 3)*(z - 1)*(2*z + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, -1\/3, -342, 6, 0.3?\nAnswer: -342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3246321 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.077 < -155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2 - 5830*u + 793079 = 0 for u.\nAnswer: -5963, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u + 3*u + 2*u)*(-26*u**2 - 10*u**2 - 33*u**2) as t*u + d*u**2 + i*u**3 + k and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 - 2. Let i(v) = -v**2 + 4*v + 10. Let j be i(6). Let a be f(j). Find the second derivative of a*w - 12*w**3 - 16*w**3 + 22*w + 49*w**3 wrt w.\nAnswer: 126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823313 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 587 - -193. Is y less than 778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -607502843*o**2 + 267*o + 28439 wrt o.\nAnswer: -1215005686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmb when three letters picked without replacement from {m: 1, b: 1, c: 1, o: 1, z: 2, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8880 and 172171360?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1925, -3850, -5775, -7700?\n\"Answer: -1925*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 183. Calculate the common denominator of z + -6 - ((-355)\/165 - -3) and 51\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*o = -o - 5, 0 = 3*y - 3*o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/5)\/((-18)\/(-315)). Let w(f) = 9*f + 3 + h*f**2 - 7 + 9*f**2 - 13*f**2. Let o(n) = -13*n**2 - 36*n + 15. Let g(y) = -2*o(y) - 9*w(y). Give g(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 348*o - 1382. Let x be r(4). Solve d = -8*f + x*f + 2, -3*d - 5*f = 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**2 - 20*u**2 + 10*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -445 - -482.4. Let m = 32 - 29.6. Let h = x - m. Is 1 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u + 20*u + 7 + 4 - 11.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 27168?\nAnswer: 679200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 2645286?\nAnswer: 5\/2645286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (w + 2 + 4*w - 8*w)*(-2 - 1 + 5) as o + n*w and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*16\/((-288)\/(-63)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)*(91\/(-238) - (-4)\/(-34)). What is the second smallest value in 64, z, 1\/122?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*5\/((-30)\/(-9)). Solve -2 = i*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -9, 0 in increasing order.\nAnswer: -25, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 15. Which is the nearest to -1? (a) 1 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 291535758, 583071519, 874607280, 1166143041, 1457678802, 1749214563?\n\"Answer: 291535761*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(77))\/sqrt(7) - (2 + sqrt(11))*-2) + (sqrt(198)\/sqrt(2) - sqrt(11)*2*4).\nAnswer: 4 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59407299.\nAnswer: 3, 7, 17, 55469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 3*z**2 + 3*z + 4. Let c(w) = 2*w**3 - 6*w**2 - 5*w - 7. Determine 4*c(v) + 7*u(v).\nAnswer: v**3 - 3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x**2. Suppose 5*t + c = 80, 3*t - 113 = 3*c - 47. Suppose -4*j + t = -35. Let y(o) = 4*o + 11*o - j*o. What is y(f(k))?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2207577 divided by 735859\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3 = -3*n - 0, -3*n = 4*p - 25. Let r be 0\/(-4*1\/(-2)). Suppose 0 = -r*h - 5*h. Put 5, h, n in decreasing order.\nAnswer: 5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -27 + 36 + 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (161770\/18488)\/(2\/(-32)*2)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvgvyvsaggg. Give prob of picking 1 v and 1 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u - 22*u + 12*u + 107)*(-3*u + 3 - 3)*(-u - 2 + 2 - u - u + 5*u + (3*u + 4*u - 5*u)*(6 - 1 - 3))*(2 + 2 - 5).\nAnswer: 36*u**3 + 1926*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + 1.96. Let f = 1.6 + -1.1. Which is the closest to 2? (a) -0.1 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 5*r. Suppose -2*m - 3*m = 90. Is 6\/m*(r - 36) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/4 - (-2)\/4. Let k(q) = -14*q - 61. Let j be k(-5). Let x = 9 + -6. Solve 0 = -x*n - 3*w - g + j, -16 = -4*n - 2*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 459 and 67167?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3\/2)\/h))\/h**(-2))\/(h*h\/(h*h*h**(-3\/7)*h*h)*h*h*h\/(h*h*h**(-2)\/h)) assuming h is positive.\nAnswer: h**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + 1 + sqrt(68) + sqrt(68))*-2)**2.\nAnswer: 48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37485, 74994, 112505, 150018, 187533, 225050?\n\"Answer: g**2 + 37506*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.566 - 3.566. Sort r, 1\/5, -4\/39 in decreasing order.\nAnswer: r, 1\/5, -4\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -7*v - 9. Let h = v + 4. Factor 0 + 3*f**2 + h - 4*f**2.\nAnswer: -(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 - 4 + 2)*(-4*l - l + 3*l) + 5*l - 4*l + 2*l)*(l + l + 3*l) - 4*l**2 + l**2 - 6*l**2 to m*l + n*l**2 + u and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 8*o + 56. Let f(p) = -3*p**2 - 8*p + 58. Let w(h) = -3*f(h) + 4*y(h). What are the prime factors of w(27)?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let o = 0.4 - -4.6. Let s be (14\/(-35))\/((-4)\/(-5)). Which is the smallest value? (a) s (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 27*i + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - g - 2*g. Suppose 5*x - 10 = -0. Let i(d) = -x - 2*d + 2. Give l(i(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 11*n - 554. List the prime factors of n.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11+-13499879357632\nAnswer: -13499879357643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1092 by 1.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5454, 5, -71 in ascending order.\nAnswer: -5454, -71, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 478 in -0.01, 2\/19, -2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 5*n**2 + 2*n**2 + n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18742*s**2*u**2 - 2*s*u - 126*u**2 + 1 wrt s.\nAnswer: 37484*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -227 + -60355?\nAnswer: -60604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 109?\nAnswer: 1853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 3*y - 72. Let x be w(7). What is the closest to -0.2 in 0, -1, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*h + 309*h = -59*h - 431*h - 10610 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126\/253 or -1?\nAnswer: 126\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x + 1. Let z = 1 - x. Let n be -3 + -5 - (-213)\/27. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7581\/26 and -293 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 + 16*k**3 - 5*k**2 - 9*k**3 - 2*k**3.\nAnswer: 2*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1270*y**2 + 299*y**2 + 605*y**2)*(-3*y + 0*y + 0*y) + 5*y**3 - y**3 - 2*y**3 to q*y + l*y**2 + j*y**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 738034 and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3276 (base 8) to base 10.\nAnswer: -1726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -4*w - 497. Suppose 7 = -r + w. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b76 (base 12) to base 11.\nAnswer: -1292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2 + 2*p - p + p**2 - 3 - 6*p. Let s be x(-2). What is the highest common divisor of s and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 25*t + 10. Sort -1, 0, -5, t in descending order.\nAnswer: t, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -180*a - 8 - 3 + 11 + 45*a. Let t(v) = v. Give -l(k) - 162*t(k).\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 3*g**5\/5 - 3*g**4 + 4*g**3 + 8. Find h, given that d(h) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 12:11 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 86 - 5*h**2 - 16*h**2 + h + h to the form f + n*h**2 + i*h and give f.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrorpprrpprprpor. What is prob of picking 2 r and 2 p?\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/(-4))\/((-1)\/(-1)). Let x be s - ((-4 - -3) + -1). Let a be -2599*x + (4 - 6). Round a to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.21 - 0.21. Let j = 3 - v. Let y = 1045 - 6271\/6. What is the fourth biggest value in 3, j, y, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 69 = 5*y, o - 5*y - 13 + 2 = 0. Suppose -2*x = 10*z - 6*z + 16, 0 = x + 4*z + o. Solve 1 = -3*i + 4*k, 0 = -x*k - k - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 842 - 791. Let p(v) = v**2 - 9. Calculate the remainder when s is divided by p(6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -23*x. Let p(i) = -309*i + 3. What is p(b(v))?\nAnswer: 7107*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofxfomom. What is prob of sequence fm?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 294 + -4952?\nAnswer: -4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 + 7100*o + 21264 = 0. What is o?\nAnswer: -1772, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v - 3*v - 17*v**4 - 86 + 60 wrt v?\nAnswer: -68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1404073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 622, 132 in decreasing order.\nAnswer: 622, 132, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*i = 4222 + 244 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -120200?\nAnswer: -120204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**5 - l**4 + l + 1. Let o(w) = -58*w**5 + 5*w**4 - 56*w - 5. Let c(b) = 2*o(b) + 10*v(b). Find the second derivative of c(q) wrt q.\nAnswer: -2120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44073 - 31274. Suppose -8476 - v = -37*q. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = -15. What is the second derivative of 84*a + 6*a**2 - 5*a**m - 10*a**2 + 8*a**4 wrt a?\nAnswer: 36*a**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707950674 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537277803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 0*l)*(0 + 4 - 2) + 15*l + 12*l - 26*l + 2 + (4 - 4 + 2)*(l + 2*l - 4*l).\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110222020 (base 3) to base 13\nAnswer: -43c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-339)\/3)\/((((-795)\/53)\/((-30)\/12))\/6)?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1917 and 639?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20656\/12)\/(-1 + (-5)\/(-3)). Let z = u + -925. What are the prime factors of z?\nAnswer: 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 41, -4, 516.\nAnswer: -49, -4, 41, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/12)\/29*2*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**2 + 3*q. Let k(g) = -g**2 - g. Calculate -6*k(u) - z(u).\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x**3 - 6 + 4 + 2*x**3 as z + g*x**2 + o*x + c*x**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -16. Let p = z - 12. What is the second derivative of -22*m**4 - 3*m + 10*m**p - 2*m wrt m?\nAnswer: -144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/3*72\/16. Let n(t) = -5*t - 2. Give n(m).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 3:10 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1450 and 5855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*p - 17 = -2*g, -3*g = -p - 17. Suppose -8*w = -36*w + 182 + 70. Calculate the smallest common multiple of g and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 times -1.5?\nAnswer: 49.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 (base 15) in base 6?\nAnswer: -4253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*n - 2*n**4 - 152*n**3 + 3*n + 153*n**3 to f*n**2 + t*n + r + l*n**4 + u*n**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-10)*-21)\/(4186\/(-10465)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -4, 6, 2, -5, -48, 0 in descending order.\nAnswer: 24, 6, 2, 0, -4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 + 91*d + 80. Calculate q(23).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*b - b - 8*d + 22 = 0, 2*b + 277 - 294 = -5*d for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/12)\/(4\/6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in -1, 1\/253, 0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.942 + -23746.058. Let v = 23799.399968 + d. Let x = v - -0.6. What is x rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + ((-45)\/(-1))\/3 is divided by 214\/14 + -7 + (-4)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 14. Let l be z(-6). Suppose 2*c - 2460 = -l*m, -m = 3*c + 3*m - 3688. Suppose 3*k + k = c. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/10)\/(3\/15). Let s(k) = b + 0*k**2 + 5*k - 4*k**2 + 3*k**2. Let y be s(4). Solve 3*d = -4*w + 15, -y*w + 3*w = 2*d - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*m - 5*g, 4*m + 2*g = 4*g + 14. Suppose -m*p = -7*p. Suppose -3*i - 14 = -2*i. Put p, i, 2 in increasing order.\nAnswer: i, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9. Suppose 2*j + 2*j = -4*c + 32, 4*c - 16 = l. Suppose 4 = j*h - 24. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 2?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6422711*y**5 + 10348*y + 94 wrt y?\nAnswer: -128454220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 9*t**5\/20 - t**3\/6 + t**2 + 4*t. Let g be w(1). Suppose -2*p + 3*p - g = 0. Put p, -3, 5 in ascending order.\nAnswer: -3, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*v + 15 = -105*v. Determine p, given that -17*p**3 - 4 + 9*p**3 - 6*p + 2*p**v + 8*p**3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 13*b**4\/4 - 3*b**2\/2 + b + 4. Let a be z(2). What is the units digit of 2\/(-4) - a\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t + 10106682 - 10106682.\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 1. Let v = 13 - 11. Suppose m - 9 = -2*m + 3*u, v*u - 6 = -2*m. Suppose -4*d + m*d + 1 = 0. What is n(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 788733986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396)*-1 + (sqrt(11) - (-1 + sqrt(11) + -1))**2.\nAnswer: -6*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4947309 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 9:15 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1075 by -215.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -41. Find the common denominator of 23\/2 and (-1)\/12*(525\/28 - y).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159230 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 54. Suppose 3*v = 607 - 13. Calculate the highest common factor of v and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/38*(-2071)\/218.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(3\/2)*q)\/(q\/(q\/((q**14*q)\/q))) assuming q is positive.\nAnswer: q**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 + 4689a?\nAnswer: 468a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2940.44 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7 = -8. Suppose 101 = -s*o - 49. Let q be 712000\/o*150\/4. Round q to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29890 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-710)\/(-15) - 440\/165?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 30*q + 53. Give a(-4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 6*y**5 + 6 + (y**5 + 2*y**5 - 2*y**5)*(2 - 4 + 1) + y**5 - y**5 - 2*y**5.\nAnswer: -9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 11:43 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -377\/9. Let r = 3 - 2. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -108 + -122?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6872732, -6872735, -6872738, -6872741, -6872744, -6872747?\nAnswer: -6872750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/4 (b) 0.4 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100889 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/10 (c) 181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 0\/(-4)) + -30. Let b = 36 + w. Suppose -64 = -5*s - b*g + 271, 222 = 3*s - 3*g. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -142*u + 256. What is the units digit of l(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 2:06 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 minutes before 7:23 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/5 - 327602*s\/5 + 26830767601\/5 = 0. What is s?\nAnswer: 163801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 4) to base 8.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0057887 centuries to millennia.\nAnswer: 0.00057887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*c + 1. Let p(r) = r**2 - 4*r + 3. Let v be p(c). Sort v, -0.1, 2 in descending order.\nAnswer: 2, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448.1 - 0.216.\nAnswer: -448.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23527 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 24 = 4*w + 4*d, -3*d = -w + 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*d - 13*d - 73*d**3 + 74*d**3 + 2*d**2 to a + g*d**2 + x*d + u*d**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - -1)*1 + -18 + 41. Suppose 6 = 5*p - 319. Let c = p - s. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + (sqrt(539) - (sqrt(539) + (sqrt(539) - sqrt(539)*-2)))**2)*-2*2 - ((2 + sqrt(539)*3)**2 + -5).\nAnswer: -24254 - 112*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:02 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 109*o - 126982. Calculate t(415).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 3. Let f = g + -6.8. What is the closest to 0.3 in -1, 2\/21, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(9\/10)*b)\/b**32)**(11\/6) assuming b is positive.\nAnswer: b**(-3311\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from jcgkpjg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 - -0.2. Let t = 23.52705 + -22.527. Let m = t + n. What is m rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of 0*w**3 + 25\/6*w**4 + 17\/60*w**5 + 1\/40*w**6 + 2*w**2 - 61 + 0*w. What is the second derivative of z(h) wrt h?\nAnswer: 18*h + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10613 - -10854. Sort -5, 5, h, 4, 1 in descending order.\nAnswer: h, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(605) + sqrt(605) + 0)*5 + -1*sqrt(605)*3)*-1 - (sqrt(605) + 0 + sqrt(605) + -2 + 1 + sqrt(605) + sqrt(605) + 1)))**2.\nAnswer: -968*sqrt(5) + 73221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 372092 by -4.\nAnswer: -93023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/12 - 24\/3. Suppose -y*k = 3*j - 56, -5*j - 70 = -10*j - 2*k. Solve 0 = 7*b - 4*b + j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*28\/21. Put -3, 2, i in increasing order.\nAnswer: -3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6*1*(((-935295)\/6)\/(-23) - 10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 22*m - 6*m)*(-3627*m**2 + 3627*m**2 + m + 2*m**3 - 1).\nAnswer: 38*m**4 + 19*m**2 - 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.2, 9, -2, -4 in ascending order.\nAnswer: -4, -2, 0.2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 - (-55)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 531 + 232 = 0. Solve h*x - 90 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - -0.1. Let j = u + -0.2. Sort 2, j, -3\/7 in decreasing order.\nAnswer: 2, j, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.1068, -0.006, 0.0409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**4\/4 - z**2\/2 + z + 1. Let n be (-3)\/(-15) - ((-3)\/(-15) + 2). Determine s(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0684297 days in nanoseconds?\nAnswer: 5912326080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 6) in base 13?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9111728193 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/550 and -17\/550?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1166 and 22.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14051 at least as big as -5\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2)*(-4*s**2 + 2*s**2 + 3*s**2) + (0*s**2 - 3*s**2 + 5*s**2)*(44*s + 52*s - 10 - 120*s) - 13*s**3 + 5*s**3 + 5*s**3.\nAnswer: -53*s**3 - 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130085, -520323, -1170719, -2081273, -3251985, -4682855?\nAnswer: -6373883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -8, 0, -0.05, -2\/5, -1.6, -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let o = 17 + -28. Let u = 15 + o. Let g(s) be the second derivative of 2*s**3\/3 - 2*s**2 + 2*s. Calculate u*g(z) + 18*t(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6520, 13121, 19722, 26323, 32924, 39525?\nAnswer: 46126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfgw when four letters picked without replacement from {r: 3, b: 1, x: 5, w: 3, g: 2, f: 1}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l + 9 = 0. Suppose 5*d = -5*c + 25, l*c - d - 2 + 7 = 0. Let -1 + y**3 + 3*y**2 + c*y - 2*y**2 - y = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51719, 103436, 155153?\n\"Answer: 51717*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - p - 10, p + 9 = i + 3. Let g be (2\/i)\/((-15)\/75). Let n be 1 + g + 3 - -1. Solve n = -3*h + h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 9*i**2 + 42*i + 531. Calculate the lowest common multiple of s(-9) and 54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**6\/600 + 452*q**5\/25 + 408608*q**4\/5 + 2955053056*q**3\/15 - q**2 - 397*q. Factor h(p).\nAnswer: (p + 1808)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -639 + 1040. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 1, m: 1, t: 2, l: 1, g: 1}. Give prob of sequence mbg.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117, -477, -1085, -1947, -3069?\n\"Answer: -p**3 - 118*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8400813 a multiple of 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40\/(-12)*3\/(-2). Let v = w + -2. Suppose r - 2*y - 2*y - 24 = 0, -5*r + v*y = -154. Calculate the highest common factor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2 - 6 + 3 + 2*o. Let u be p(4). Suppose -u*c = -0*c. Solve 5*l - 4*b - 6 = c, 5*l - 14 = -0*b - 4*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 - 4. What is the greatest common factor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 6 = 2*c, 0*c + 2*c + 6 = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7182 = -26*u - 9*u + 149*u for u.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**2 + 4*c - 4. Let i be h(1). Suppose i*x = 2*v + 28, -x + 4*v + 11 = -9. Solve 0 = 3*f - 5*r - x, f + 2*f = 3*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 0, -4*o + o + 3*r + 6 = 0. Suppose 0 = -5*p + o*p + 117. Calculate the remainder when p is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1265589787541\/38610785640 + -5230090\/178853. Let x = 1\/30840 - t. Let i = -1190\/3 + 811\/2. Find the common denominator of i and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -481021?\nAnswer: -481022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*y - 5*l, -y + 2*l = 4*y + 71. Let b be (-2)\/(3 - (-51)\/y). Factor -1\/3*t - 7\/3*t**2 - 3*t**4 + 0 - b*t**3.\nAnswer: -t*(t + 1)*(3*t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 380341, 1519134, 3417127, 6074326, 9490737, 13666366?\n\"Answer: r**3 + 379594*r**2 + 4*r + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169.443 - 0.443. Sort 1\/3, q, 2\/7, -1.\nAnswer: -1, 2\/7, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 22*g**2 - 7*g - 35. Determine u(11).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 6\/5, -1\/353396 in ascending order.\nAnswer: -1\/353396, 0.4, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let m = 1101\/764 - 132\/191. What is the closest to c in -1, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(3\/20)\/(m**(-7)\/m**(2\/15)) assuming m is positive.\nAnswer: m**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(-7)*k)\/k)*k*(k*k\/(k*k**(-10\/3)\/k))\/k)**(-15))**(2\/37) assuming k is positive.\nAnswer: k**(-400\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.31, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {x: 3, u: 3, e: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 1 = 10. Let z(k) = 224*k - 4. Does 12 divide z(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 50. What is f(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/11)\/i)\/i)\/i*i**(-1\/6))\/((i**6\/i*i)\/i)**6 assuming i is positive.\nAnswer: i**(-2111\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*t + 7*t - 116. Let c(h) = h**2 + 113*h - 8 + h**2 - 106*h + 8*h**2 - 12*h**2. Give c(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*0\/(2\/2). Suppose d*l = -2*l + 10. Suppose -l*w + 18 - 3 = 0. Let x(m) = 2*m. Let a(j) = -3*j. Calculate w*a(g) + 5*x(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + l)*(3 - 3 + 67*l + (-3 + 2 + 3)*(18 - 18 + 3*l)).\nAnswer: -73*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323633956 to the power of 1\/2, to the nearest integer?\nAnswer: 36382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 2*f**2 - 2*f + 1. Let u(j) = -2*j**4 + 6*j**3 + 36*j**2 + 52*j - 2. Let o(r) = 2*d(r) + u(r). Factor o(l).\nAnswer: -2*l*(l - 6)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 15*c = h - 22, 8 = -2*c. Suppose -3*i + 94 = q, -h*i = -12*i + q + 61. What is the remainder when 91 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 864 - -20761060\nAnswer: 20761924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -466058*q**3 + 5*q**2 + 538*q + 7 wrt q.\nAnswer: -2796348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481.1778s to nanoseconds.\nAnswer: 481177800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g - 4*n - 60, g - 3*n - 21 = 0. What are the prime factors of g + -1 - (4 + -3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3\/3 - 133*r**2\/3 - 1244*r\/3 - 476\/3.\nAnswer: (r - 34)*(r + 7)*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2600498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 22*z**2 + 45*z - 74. Suppose -7*w = 634 - 466. Determine n(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/(27\/72). Suppose 2*s + 2*s - 2972 = -4*p, 5*s + r*p = 3714. List the prime factors of s.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-1))\/((-3)\/(9\/6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 + 98. Suppose 0 = 5*k + 5, 7*b - 8*b + 2*k + 4 = g. Solve -4*w + b = 2*s, 11 = -2*w + s + 2*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14548, 14584, 14620, 14656, 14692, 14728?\nAnswer: 14764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173 (base 8) in base 16?\nAnswer: 27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 12*j + 34. Let l be f(14). Suppose -143 = l*q - 41. Are q and 0.5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2607 less than 67\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 0.082986?\nAnswer: 0.082986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.79942 - 5.8. Round h to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j*m**3 + 809*j*m**2 + 1125*m**3 wrt j?\nAnswer: -m**3 + 809*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26430, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttqqttt. Give prob of sequence tq.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31322152 + 1?\nAnswer: 31322153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 19*b**2 - b - 16. Let p be y(-19). Solve -p*m - 3 + 0 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*6\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 9*v + 4. Let 2\/3*z**v + 1\/3*z - 5\/3*z**3 + z**2 - 1\/3 = 0. What is z?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 12:43 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -211351?\nAnswer: 211351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, -1\/10, 7, -1, 0.0742?\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*v - 56, -19 - 6 = -5*q - 4*v. What is the greatest common divisor of 117 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3940131853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 4*f**2 - 3*f + 7. Let b be c(-5). Let p(j) be the second derivative of -16*j**3\/3 - 3*j**2\/2 - 3*j. What is the tens digit of p(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-93.\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38258, -38264, -38280, -38312, -38366, -38448, -38564, -38720?\nAnswer: -38922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-3)\/6*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -58*j**2. Let k(w) = -11*w. Calculate k(t(b)).\nAnswer: 638*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.3 - 44.3. What is the nearest to 3 in 4, 10, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 19*r - 1361*r**2 + 2 + r**4 + 1364*r**2 to the form u*r**4 + v + w*r**3 + f*r + p*r**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*-2*sqrt(288)*3)**2 + 2 + (2*(sqrt(2) + 1 + sqrt(162) + sqrt(2) + sqrt(32) + 0))**2.\nAnswer: 120*sqrt(2) + 95113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 12*i + 6. Let r be a(-11). Let b(j) = -j**2 - j + 36. Let h be b(6). Let s be 2 - (-30)\/h - -6. Sort r, s, 0, 1.3 in increasing order.\nAnswer: r, 0, 1.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 + -11100000100?\nAnswer: -11011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*l**3 - 8*g**3*l**2 - 2*g**3*l + 2*g**2*l + 4*g*l + 13*l**3 + 222 wrt l.\nAnswer: 12*g**3*l - 16*g**3 + 78*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-20)*5)\/(1\/(-4)). Suppose -y*j + 1313039 + 1006961 = 0. What is j rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -46 + 16\/3*c**3 + 0*c**5 + 2*c**2 + 0*c**4 - 1\/2*c**6 + 0*c + 40\/7*c**7. What is the third derivative of h(i) wrt i?\nAnswer: 4800*i**3 - 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/(s*(s**(-12)\/s)\/s)*s)*s*s\/s**(2\/21)*s\/(s\/s**(1\/7))*s**15*s assuming s is positive.\nAnswer: s**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 20 = 2*q. Let j = -8 - q. Let a = -164\/3 - -54. What is the nearest to 0 in j, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13060, 27779, 42498?\n\"Answer: 14719*u - 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 327970436 to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 l when four letters picked without replacement from owlwgoggloog?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 388554 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let l(i) = 2*i**2 - i**q - 3 + 5*i - 4. Let u be 4\/(-6)*60\/8. What is l(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 769886 and 468.\nAnswer: 770354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and -0.5.\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m*((m*m**(-6)\/m*m)\/m)\/m*m)))**(10\/7)\/((m\/(m\/m**8))\/m**15))**2 assuming m is positive.\nAnswer: m**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128.142 - 128. Let u = -49718.04199676 - -49717.9. Let g = u + z. What is g rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 762705 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*w = 242*w + 67. Let t = w - -73. Let n(c) = 22*c + 25. What is the tens digit of n(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 284.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of -699*q**5\/4 - 7183*q**4\/24 + 2*q**2 - 557. What is the second derivative of x(o) wrt o?\nAnswer: -20970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h - 2*h + h)*(2 + 1 - 1) - 109*h + 110*h + 20 + 18 to the form k + b*h and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g. Let n(a) = -1965*a**2. Give n(b(x)).\nAnswer: -282960*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 267*h + 13214. Give z(-67).\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/13)\/f*f**28*f*f*f**(-21\/5)*f\/f**(-3\/17) assuming f is positive.\nAnswer: f**(28534\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -4*x + 5. Let b be 2*(16\/88 - 118\/44). Put x, 4, b, 1 in decreasing order.\nAnswer: 4, 1, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4977 and -4984 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 585, 1901, 3951, 6735, 10253, 14505, 19491?\n\"Answer: 367*b**2 + 215*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187858521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15692*h**3 - 8*h - 7092. Let r(o) = -5230*o**3 + 3*o + 2360. Let w(l) = -8*r(l) - 3*x(l). What is the first derivative of w(m) wrt m?\nAnswer: -15708*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1309676 and -20097341.\nAnswer: -21407017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*o - 72*o = 3458. What is the lowest common multiple of 78 and o?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*m = 48 + 11, 137 = 5*h + 2*m. What is the third derivative of 89*w**3 - 89*w**3 - h*w**2 - 18*w**5 wrt w?\nAnswer: -1080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/4)\/y)\/y)**(-2\/21))**(2\/3)*((y*y**(-1\/3))**(4\/15))**28 assuming y is positive.\nAnswer: y**(229\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-3)\/45 - ((-3782)\/990 - -3)?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4502*m + 99238. Determine y(22).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*d = 3*u - 80 + 6, -d + 66 = -d + 3*d - 3*u for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/30)\/(2\/10). Let h(b) = b**2 - 6*b - 7. Let j be h(7). Suppose -2*d - z = -j - 1, 0 = -5*d + z + 13. Are t and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -954 + 953.5. Let n = -1\/3 + -5\/12. Which is the third smallest value? (a) 2\/7 (b) n (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-3) + -1 + -2. Let r = f - 2. Put 4, r, 0 in decreasing order.\nAnswer: 4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2755*y**3 + 18*y**2 - 17*y. Let q(w) = 1377*w**3 + 9*w**2 - 8*w. Let f(i) = 6*o(i) - 10*q(i). Let z be f(-16). Round z to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 34. Suppose -14 - 166 = -5*n. Let l = n + q. Calculate the least common multiple of l and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 16*f**2 - 8*f + 16. Let s be q(16). Let g = s + 857. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**8\/14 + 65*u**6\/6 + 1184*u**4\/3 - u**3\/3 - 2616*u. What is the third derivative of b(s) wrt s?\nAnswer: -480*s**3 + 7800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80186 + -57?\nAnswer: -80243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 10*a - 9. Let z be b(9). Is 2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/20751424 and -37\/25939280?\nAnswer: 103757120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 3*f**2 + 2*f + 3. Let v(s) = 3*s**2 + 41*s - 16. Let w be v(-14). Give j(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 14580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Let y be -1*2*u\/(-16). Determine x so that -1\/2*x**3 - y + 1\/2*x**2 + 1\/2*x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*v - 4*d, -4*v + 5*v = -2*d + 13. Let l be (4\/v)\/(20\/70). Suppose -2*q = -4*o + 60, -l*q = 3*q. What is the remainder when 42 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 21*f**2 - 18*f + 41. Let m be j(-20). Which is the nearest to m? (a) 0.4 (b) -3\/4 (c) 2.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 5) + (-28)\/16 and -2 - ((-34)\/(-12) - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus -1.1553?\nAnswer: 11.8447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0 - (-21 + 19)) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from tagggaaybba?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 1 + 4. Suppose -7*u = 5*r - 3*u - 116, 3*u = p*r - 48. Let d = 106 - 67. Calculate the remainder when d is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -31385453 divided by 1\nAnswer: -31385453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2817 and 53452575.\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 2*c + 30. Let k be q(6). Determine u, given that -18*u - 7 - k*u - u**2 - 137 = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 p, and 1 l when four letters picked without replacement from {d: 4, l: 2, p: 2, g: 1, r: 4, t: 7}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/7)\/(y**(1\/6)\/y)*y**14*y*y\/y**(-4) assuming y is positive.\nAnswer: y**(881\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -112076807917 + -0.1.\nAnswer: -112076807917.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)*y)\/y*y*y*y*y*y**(-2\/3))**(-39)*((y*y**8)\/(y**1\/y))\/(y\/y**2)**(-39\/5) assuming y is positive.\nAnswer: y**(-2381\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2305260 and 68850.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(612)*6 - sqrt(612)*4*4)**2.\nAnswer: 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2944947.7 to the nearest 10000.\nAnswer: 2940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3186739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(27) - sqrt(3) - sqrt(3) - sqrt(3)) + -3 + sqrt(363)*2.\nAnswer: -3 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -383397*w**3 - 5*w**2 - w - 25784616?\nAnswer: -1150191*w**2 - 10*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 17*c**2 + 14*c + 14. Suppose -56 = 4*i - 4*s - 4, -4*i - 97 = 5*s. Does 12 divide x(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 7*b**2 - 13*b + 1. Let d be i(2). Let l be (-2 - -4)\/(17\/(-5) + d). What is the units digit of (0 + -1 - -18) + l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(6\/(-1)) + (-2)\/3. Put k, -5, 0.3, 5 in descending order.\nAnswer: 5, 0.3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*j + 3. Let n be (-21)\/j + 3\/6. Suppose -y + 130 = n*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*f*r - 8*f*s**3 - 2*f - r*s**3 + r*s**2 - 9*s**3 wrt s.\nAnswer: -48*f - 6*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11\/5 - (-2)\/(-10). Suppose -k*q - 6 = -2. Let o be (3 - 2)\/(2\/(-6)). Put q, 1, o in increasing order.\nAnswer: o, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 657 and 441?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13a2 (base 15) to base 6\nAnswer: 31242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q = 39*q - 5*m + 59, -q - 2*m = -29. Solve -10*r = -r + q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149 (base 10) to base 3\nAnswer: -12112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/96534 and -13\/45081.\nAnswer: 483538806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286*f + 286*f - 102*f**3.\nAnswer: -102*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/((q*q\/(q**(2\/5)*q))\/q)*q*q)))\/(q**(2\/9)\/q)*q\/(q\/(q*q**(-1\/2)\/q))*q**(2\/13)\/q assuming q is positive.\nAnswer: q**(3313\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 17}. Give prob of picking 2 u.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5 - 119*a**3 - 500*a**2 wrt a?\nAnswer: -120*a**2 - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -645894*c**3 - 541953*c.\nAnswer: -3875364*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1012 + 0.2012. Which is the smallest value? (a) -146 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-31)*s**(-36\/7))\/(s**(-6)\/(s**33*s)) assuming s is positive.\nAnswer: s**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1 + 1 - 9*t**2 + 10*t**2. Let k(z) = 2*z - 8. Let x(h) = 1. Let m(a) = -k(a) - 8*x(a). Give m(f(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101015*l - 101007*l - 24 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-6) + -2)*-9. Let u(k) = -k**2 - 6*k - 6. Let d(b) = b + 1. Calculate f*d(q) - u(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 114509 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 1:46 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 - 63\/12. Suppose 42 = 4*g + 2. Let m = l + g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/4*(4 + 0). Let u(r) = 7 + 0 - 5020*r + r**2 + 5027*r. Determine u(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = v, o - 4*o + v = -5. Let n = 5 + o. Suppose -6*x + 8*x - 60 = 0. What is the remainder when x is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycyc. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6475587 grams?\nAnswer: 0.0000006475587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 28 + (7 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-78)\/(-39))\/(2\/(-16)). What is the closest to 0 in -4, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*d - 2*v - 11*v + 795 = -10*v, -54 = 2*d - 4*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4434, 0.4, 3\/5, 3 in ascending order.\nAnswer: -4434, 0.4, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85339.\nAnswer: 61, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + 3 + 13 + 1. Suppose m*k - 545 - 3795 = 0. List the prime factors of k.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -198*c. Let n(f) = 6*f - 6. Let w(q) = 7*q - 8. Let v(b) = -4*n(b) + 3*w(b). Give v(t(k)).\nAnswer: 594*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbdsbbbabsbbabas. What is prob of sequence sdss?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -2, 159, 2, -466 in descending order.\nAnswer: 159, 2, 0, -1, -2, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((6\/24)\/((-9)\/12)). Suppose 3*x - a = 8, 0 = a - 1. Let r(s) = -s**2 + 9*s - 5. Let t be r(7). Solve -z + t = b*y, y - z = -x + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + 1.22. Let y = 1.7 + t. Let d = -28\/207 - 2\/23. What is the nearest to 2\/7 in y, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402494.\nAnswer: 2, 201247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-10*d**2 + 8*d**2 - 6*d**2) - 42*d**2 + 0 + 37*d**2 + 2 + 7*d.\nAnswer: 27*d**2 + 7*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 - 10*i + 9*i**2 + 6 + 3 + 0. Let t be z(9). Solve 3*m = -t*l + 4*l - 12, 0 = -5*l + m + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + -4 + sqrt(128)) + -1*sqrt(128) + 2 + (sqrt(128) - (sqrt(128) + 1 + sqrt(128)*-2)) + sqrt(128))**2 + -2.\nAnswer: -2176*sqrt(2) + 8479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 28 - 58 + d - 6*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - q + 3*q + (0 - 5 + 3)*(0 - q + 0) + 400*q + 125072 - 125072 + (2*q - 3*q + 3*q)*(-2 - 5 + 5) as i*q + s and give i.\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -48*s + 3. Which is bigger: -5\/23 or s?\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*a = 360*a - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/12*(-42)\/70. What is the nearest to r in 20, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 2*j**3 - 2*j. Let q(s) = -2*s**2. What is x(q(a))?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13301120 + 220?\nAnswer: -13300300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 + 2*x + 9. Let k be j(-6). Let d(n) = -n + 6. Let p be d(-8). Let l = p + -9. Which is the nearest to 2? (a) 0.2 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 37*q - 7*q - 58489 + 58489 - 10*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 125*l + 171. What is the hundreds digit of y(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30862, -61726, -92590, -123454, -154318, -185182?\nAnswer: -216046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5825 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + (-51)\/(-12). Suppose -m + o*m = -3. Is 2*m\/2*-67 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f**3 + 2*f**3 + f**3 - 2*f**3 - f**3 + (f - f + f)*(-5*f**2 + 3*f**2 - f**2) + f**3 + 0 + 0)*(2 - 14 + 8 - 8*f).\nAnswer: 16*f**4 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3445, 15, 2, 78?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 33, 1\/4?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 4*k - 13, -5 = -8091*k + 8092*k for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8503 + 8506. Solve -16*p + h = 99 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*k*o*p**3 + 6*k*o*p - 5*k*p**3 - k*p**2 + 2*p wrt o?\nAnswer: -6*k*p**3 + 6*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10 + 10. Solve 5 = -v + s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/(h**8\/h))\/h)\/((h**(2\/11)\/h)\/h))**(-2\/49)\/((h**(-2\/5))**6)**(-6) assuming h is positive.\nAnswer: h**(-38348\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -989 or -809?\nAnswer: -809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - 7 - -9) - (0 + 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 3114954.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4401\nAnswer: 2\/4401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {w: 2, e: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from hgzgvz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 1739739.\nAnswer: 1739738.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 740 and 2220?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012398 to 6 dps.\nAnswer: -0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*d = -5683, g + d = -4*d + 1115. Suppose 6*w + 91 = g. What is the highest common factor of 29 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 19*w**2 - 8*w + 146. Let u be n(19). Let r(q) = -q**3 - 8*q**2 - 7*q + 5. Determine r(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1065238?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1141.4 times -24\nAnswer: -27393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 105886.85+-6138\nAnswer: 99748.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/6*(952\/70 - 13). Let j = -65 + 64.7. What is the third biggest value in f, -1\/6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -17*c + 43. Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 6*f - 3*g - 5, 25 = 5*g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109133 is divided by 36333.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.360096 + 0.36. Round k to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -342, -356, -370, -384, -398?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1135 - -0.5.\nAnswer: 1135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -0.275?\nAnswer: -0.1375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 12*z + 161857 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(4)\/sqrt(2))**2 + -3 - 6*sqrt(10)\/sqrt(5).\nAnswer: -5*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 + 0.26999944. Round g to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2887, 3511, 4135, 4759?\n\"Answer: 624*t + 2263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 160*y - 75. Give z(-40).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -p + 31. Suppose -590 = -p*f + i, 3*f + 7*i = 8*i + 356. What is f rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 11 + 3 = 0, -2*o - w = -86. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 + 11?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 8*x - 6. Let y be s(-8). Let k(g) = -g - 8. Let h be k(y). Let a = 1 - h. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416 divided by -8.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*k + 32*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 6:02 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1404 and 49\/1416960?\nAnswer: 18420480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 7*k**2 - 64*k + 458. Let m be w(7). Put 0, -122, m, -2\/5 in ascending order.\nAnswer: -122, -2\/5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -233 + 232. Let q be ((-24)\/2 - (4 + -3))*f. Solve 6 = q*p - 16*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/10 - 29\/20. Let w = 197 - 3347\/17. What is the closest to 0 in x, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d + 2*q + 24 = 15*d, -2*q = -5*d + 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/9, -3, 1\/6, -94853, 15, -1?\nAnswer: -94853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - -102?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - i**2 + 3*i + 5. Let w(s) = -s**3 + s**2 - 3*s - 4. Let y(a) = 4*a + 23. Let c be y(-7). Give c*w(m) - 4*x(m).\nAnswer: m**3 - m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t + 4. Let c be f(3). Let i be ((-9)\/(-6))\/((-2)\/(-4)). Solve i*g = -2*g + c for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43292515*o**3 - 86585040*o**2 - 43292535*o - 10.\nAnswer: -5*(o + 1)**2*(8658503*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 126*w**3 - 13*w**2 - 6*w. Is r(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9441788 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-7))\/b)\/b)**(6\/17)\/(b**(-2)*b*b**(6\/5)*b) assuming b is positive.\nAnswer: b**(108\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*f**4 - 468*f**3\/7 - 8*f**2\/7.\nAnswer: 4*f**2*(f - 1)*(119*f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s + 22. Let x be g(-10). Suppose 4*f + x = w, -2*f + 50 = w - 14. Is w a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(27) + 2)*4)**2.\nAnswer: 384*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 + 36. Let p(z) = -3 + x*z + 3. Let j(b) = 7*b**2. Give j(p(n)).\nAnswer: 28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -152*o**5\/5 + 79*o - 26. Differentiate d(x) with respect to x.\nAnswer: -608*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3272, 3289, 3326, 3389, 3484, 3617?\nAnswer: 3794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -387.83 - -6.83. Let m = l - -381.9. Which is the second smallest value? (a) 4\/3 (b) m (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/39 - ((-126)\/135)\/((-3380)\/(-702))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9.3, -2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/20)\/((-4383)\/243726). Let f = 20\/487 + n. Calculate the common denominator of (-2)\/42*131\/4 and f.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h + 3*g + 8 = 0, -5*h + 10 = -3*g. Suppose -h*p + 8 = -4. Calculate the remainder when 2 is divided by (-3)\/6 - (-15)\/p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13956140.7 seconds to days.\nAnswer: 161.52940625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -10, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4da0e (base 15) to base 4\nAnswer: -330230333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/21)\/(4\/(-18)). Let k be 2\/w - (-395)\/(-30). Let d = k - -25. What is the greatest common factor of 12 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*c - 2*r, 0 = -6*c + 2*c - 3*r + 11. Let w be c + 29*(1 + 1). Suppose -3*h + 3*z + 90 = 0, 2*h - 2*z - w = 3*z. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198212, 793560, 1785810, 3174956, 4960992, 7143912, 9723710, 12700380?\nAnswer: 16073916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -378909165562129 take away 0?\nAnswer: -378909165562129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 74076271 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299775591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from efefvffddff. Give prob of picking 1 e, 1 d, and 1 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, i: 1, m: 2, a: 2, k: 1}. What is prob of picking 1 a, 1 k, and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(396)*3)**2 + 3 + -2 - (sqrt(121) - sqrt(121)*-3*6)\/(sqrt(891) + 2*sqrt(891)).\nAnswer: -19*sqrt(11)\/27 + 57025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128\/64321 or 1?\nAnswer: 128\/64321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 62312.19 kilograms?\nAnswer: 62312190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-90)\/9)\/((-4)\/14). Solve -2*y + 4*s = -0*s + 20, 5*y - 5*s = -r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177376330 or -177376328?\nAnswer: -177376330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 6*s + 24. Let z be j(0). Let h be (-2)\/(-2) + -2 - -49. What is the greatest common divisor of h and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 21*m - 200 + 120 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2040 = -14*k. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/1850 and 1\/116876525.\nAnswer: 233753050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 648213232 to the power of 1\/3, to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -0.1. Let f = -279 - -278.9. Let p = 673\/1141 + -3\/163. Which is the closest to f? (a) p (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*x + 5, -4*f - 2 = x - 1. Let m = 2 - f. Suppose -a - 2*h - m = 2, -5*h = -2*a + 21. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 253, 2\/7, -117\/4 in increasing order.\nAnswer: -117\/4, 2\/7, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 199\/6. Let m = 0.247 + -80.847. Let k = 81 + m. Which is the third biggest value? (a) k (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 7 - 1. Let s be (0 - -6) + (32\/(-8) - -2). Suppose -s = -3*k + g. Solve 5*t = t + 4*n + 28, -t - k*n = -1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9074251?\nAnswer: 599, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2\/25)*x*(x\/x**(-2\/27))\/x*(x**(3\/10))**(2\/81) assuming x is positive.\nAnswer: x**(1351\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2932 from 303.4588.\nAnswer: -2628.5412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2847 or 13\/7?\nAnswer: 2847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 10608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30*(-36)\/(1008\/2)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqjqqyyqqqqqqiy. What is prob of sequence jy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 25 + 19 + 45*w + 45*w + w**2.\nAnswer: w**2 + 90*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/4*n + 0 - 4*n**2 - 1\/4*n**3.\nAnswer: -n*(n + 1)*(n + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/5 + 928*c**3 - 23154*c**2\/5 + 9244*c\/5 + 7408 = 0.\nAnswer: -1, 2, 4, 2315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + (-62)\/8)*(342 - -22).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306755.\nAnswer: 5, 19, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-7 - -9 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 4*g. Let f be g\/(-8) - 6\/(-8). Solve -3*r + 8 = -h - 6, 3*h + 6 = f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 274 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k - 2. Suppose -52 = k*c - 4*c. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = r - 136, 5*q - 635 = -4*r - 28. Let l = 137 - 42. Let n = r - l. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 958*x**2 + 300*x + 9. List the prime factors of f(4).\nAnswer: 23, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:00 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 217, 451, 773, 1189, 1705, 2327, 3061?\nAnswer: 3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((28560\/64)\/(-7))\/((-2)\/912)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.29 + 1.29. Let w = 0.4 + 3.6. Which is the nearest to -1\/3? (a) w (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((5 - 3) + 7)) + (11 - -23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 9*z + 6. Let w be b(9). Let p = w - 84. Solve -p*t - 9 = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1064)\/32*(-6 - -2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 13 + 29 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - f = 107 - 14, 93 = 3*h - 4*f. Let z = h - 30. Is z > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, -3, -5, -16, -8 in ascending order.\nAnswer: -16, -8, -5, -3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -679849074095?\nAnswer: 679849074094.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2128 - -2736. Calculate the greatest common divisor of 190 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073623511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 32991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4857)\/(-4) + (-215)\/860 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -37354933296.\nAnswer: -37354933289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 - 6*t**2 - 5*t. Let a(s) = -2*s**3 + 2*s**2 - s + 2. Let f(u) = 2*a(u) - g(u). Calculate f(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 7*u + 164712. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401 - -425. Calculate the highest common divisor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 + 1622 = 5*c. Let l be ((-20)\/4)\/(-5 - -4). Find the third derivative of 13*a**2 + c*a + 18*a**l - 425*a wrt a.\nAnswer: 1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let x(a) be the second derivative of 2*a**3\/3 - a**2 - 3*a - 42. What is x(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -253 - -244. Sort -3, 2, k, 3.\nAnswer: k, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 263 and 1.2.\nAnswer: 264.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*v - 1201, 763 + 55 = 2*f + v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -i - 3*i. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2 = 4*c - 6, -4*c = -3*j - 20. Suppose 5*o + c*f + 23 = 0, 2*o - 2*f + 7 = o. Sort -2, -21, o in decreasing order.\nAnswer: -2, o, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - 5*o**3 + 5 + 4*o - 3*o - 4*o**2 + 3*o**3. What is the units digit of i(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -26 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289285 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193269456.\nAnswer: 2, 3, 29, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116902539?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 34*c + 50*c - 10*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -2*p. Let x = -26199 + 26188. Sort x, -1, p in decreasing order.\nAnswer: p, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1993.4 and -464.\nAnswer: -924937.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 - 500?\nAnswer: -446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -135b (base 12) in base 6?\nAnswer: -14155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 403837590 less than -3800?\nAnswer: -403841390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/184 (b) -2 (c) -24\/11 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-400)\/30)\/(49\/(-21))*77\/22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -262*s + 258*s + 96, -s = w - 27. Solve 4*z - 6*r = -7*r + s, -50 = -5*z - 5*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -99745*x**3 - 42315.\nAnswer: -299235*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.39744 rounded to zero decimal places?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 2*d**2 - 3*d**2)*((2 - 2*d - 2)*(4*d + 3 - 3) + 3*d**2 + 0*d + 0*d).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -186, -360, -534, -708?\n\"Answer: -174*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + -2)*-3 + -4 + sqrt(1872) + (sqrt(1872) + 4 + -3 - sqrt(1872)) + 3)**2.\nAnswer: -288*sqrt(13) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1783557 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -17*p**2 + 394*p - 1. Let j(c) = 3*c**2 - 79*c. Calculate 11*j(s) + 2*r(s).\nAnswer: -s**2 - 81*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 15 = 200 + 135 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:20 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t = 24 + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 197581238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/644597 and -67\/3.\nAnswer: 1933791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-38 + 5 - -3). Put 4, 3, -0.4, k, -2\/57 in decreasing order.\nAnswer: 4, 3, -2\/57, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((15 - 20) + 7 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 1081881\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1896)\/3555)\/(14\/1470)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5568, 1, 2\/7.\nAnswer: -5568, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 261*t**3 + 279 wrt t.\nAnswer: 783*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171244 is divided by 6853.\nAnswer: 6772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/102 and (-6)\/(-4)*1320\/990 + (-1706)\/816.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -18, -24, -34?\n\"Answer: -2*z**2 + 4*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvblbllvvlvlbvl. What is prob of picking 3 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + (sqrt(300) + sqrt(300) + sqrt(300)*-1)\/sqrt(10) + 2*sqrt(480))\/(sqrt(60)\/(6*sqrt(42)\/sqrt(7))).\nAnswer: 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 924409 + 2*w - 1848740 + 920928 in the form r*w + m and give m.\nAnswer: -3403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2530776 + -0.7.\nAnswer: -0.9530776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.4, -104, -2\/3, 99, 3, 6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69\/21 + 2\/(-7). What is the units digit of 10\/8 - t\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 3*o**3 - 6*o**3 + (4*o**3 - 5*o**3 - 2*o**3)*(3 - 5 - 1).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/120 - 19*z**4\/16 - 175*z**3\/6 - 1464*z**2. Let l(x) = 0. Calculate x.\nAnswer: -50, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 3*k**2 + 13*k**2 - 14*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 0. Suppose -3*j = -h - c*j + 68, 4*j + 304 = 4*h. What is the greatest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -39*n + 37. Is f(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14832*y - 14878*y = -920. Let h = 5 + -3. Solve 4*z = -h*a + y, -4*a + 5*z = 2 + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 16. Suppose a - f*a = -224. Differentiate -2*s - 3*s - 30 + 5*s + a*s**2 wrt s.\nAnswer: 64*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqnliqqqktqqqqq. Give prob of picking 1 n, 1 k, and 1 q.\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - 0) + (-41 - -9) + 43 - -5.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*a + 16, 3*a + 37 = 4*a - 5*p. Solve 2*m = -d - 3*m - 8, 5*d + a = 3*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*v - 308 + 424. Let f(u) be the third derivative of -25\/24*u**4 + 1\/21*u**7 + 5\/6*u**3 + 8*u**v + 0*u + 0 + 3\/4*u**5 - 7\/24*u**6. Factor f(z).\nAnswer: 5*(z - 1)**3*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18441039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) -0.4 (c) 6 (d) -1\/10 (e) 8\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28a6c + 3?\nAnswer: 28a72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2 - 3*a + 11*a**2 + 3*a. Let d(p) be the second derivative of -p**4\/6 + p. Determine d(y(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/33 and (5 + (-764)\/20)\/((-84)\/10).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4704)\/(-27440)*50\/6?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1. Let w(d) = 273*d**2 + 11*d + 9. Let y(q) = 6*s(q) + w(q). What is the second derivative of y(m) wrt m?\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**2 + 17*j. Let m be 3\/(2 + 185\/85 - 4). Let g(r) = -2*r**2 - 6*r. What is m*g(s) + 6*h(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -515?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**22*v\/v**(-22)*v*v**(-20)*v**21 assuming v is positive.\nAnswer: v**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 + -140. Let f(h) = h**3 + 6*h**2 - h - 2. Calculate the least common multiple of r and f(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m**2 + 151*m - 17. Let t be z(30). Solve -t*q - 2*k - 1 = -14*q, 4*k - 4 = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165696133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 1653*w - 1652*w - 0*h - 1, 3*h + 1 = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -8. Let n = -0.39 - -0.09. Put 0, a, n in decreasing order.\nAnswer: 0, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/6)\/((-14)\/6*30\/(-105)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnqdnndqnndnqnnnnn. What is prob of sequence ndnn?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtc when three letters picked without replacement from cttkcccxkkxq.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6)**(1\/7)\/(d**5\/d)**12 assuming d is positive.\nAnswer: d**(-330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2101 - -2122. What is the remainder when 83*8\/20*5 is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y + 0*y - 4*y - y. Let j(t) = 22*t**2. What is r(j(i))?\nAnswer: 110*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(20)*-4)\/sqrt(10)).\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.023219 millennia in years?\nAnswer: 9023.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2 + (3 + 1 - 3)*(0 - 1 - 1) + 1 + 1 - 5 + 1 + 1 - 1)*(-t - t + 8*t) as k*t + s and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.065 + -0.035. Let h = 0.1 - -0.1. Which is the nearest to q? (a) 0 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1 + 3. Let n = v + 0.2. What is the closest to n in -2, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1 + s + 1. Let i(k) = 15*k + 2. Let l(v) = -181 - 181 + 369 + 43*v. Let w(t) = -7*i(t) + 2*l(t). Give w(a(d)).\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*d = 30, -5*d = -7*d - 14. Factor 1\/4*k**3 - 1\/4*k**f - 9\/4*k + 9\/4.\nAnswer: (k - 3)*(k - 1)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20633503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 14*f. Let l(z) = 4*z. Let u(p) = -14*l(p) + 4*s(p). Let r(w) = 2*w**2. Calculate u(r(m)).\nAnswer: 16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 181885643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15932*g - 2985. Does 321 divide r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:53 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -432877645\/111132 + -17\/111132. Let p = 3874 + o. What is the common denominator of -89\/10 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from tjtttejtjjt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -26 (c) 0.293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1665, 1664, 1663, 1662?\n\"Answer: -a + 1666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -4\/9, 0.3, 3\/4 in ascending order.\nAnswer: -4\/9, -3\/8, 0.3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -765 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c\/(c*((c*c*c\/c**(-42)*c*c)\/c)\/c*c))*c)\/((c**(2\/5)*c)\/c)*c*c*c**14*c\/c**41*c assuming c is positive.\nAnswer: c**(123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away 22.0008?\nAnswer: -22.0608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276721*-0.2.\nAnswer: 55344.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5295643 is divided by 442?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 4:34 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*n - n**2 + 9*n)*(4 - 2 + 0)*(-11*n**2 + 155*n - 155*n) to the form u*n**2 + x*n + v + q*n**3 + t*n**4 and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1180, -1172, -1186, -1222, -1280, -1360, -1462?\n\"Answer: -11*n**2 + 41*n - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3197 and 32637?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) - (-567)\/6. Let l(n) = -6*n + n + 3*n - c. Let i be l(0). Round i to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13589995803 take away -4?\nAnswer: 13589995807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10647*m**2*n**2 - 804639006*m**2*n - 409*m*n**2 - 2*n**2 wrt n?\nAnswer: -21294*m**2 - 818*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92266, 184541, 276836, 369151, 461486?\n\"Answer: 10*a**2 + 92245*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 0*n**2 + n**2)*(n**3 - 5*n**2 + 5*n**2) + (-12*n - 7 + 7)*(4*n - 2*n**4 - 4*n).\nAnswer: 23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 + b**3 - 21*b**2 - 45*b.\nAnswer: b*(b - 5)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -5. Suppose 5*a + 1 = 4*r - u, -a + 7 = r. Suppose -5*m = s, -a*m + 17 = -4*s + s. Which is smaller: m or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 63*m**2 + 4*m - 27. Let s(n) = n**3 - 62*n**2 - 5*n + 34. Give -5*j(d) - 4*s(d).\nAnswer: -4*d**3 - 67*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1668579505.\nAnswer: 5, 23, 14509387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 125\/4, 2\/5, 0.06?\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 + -10132?\nAnswer: -10014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnnyprnrnrpnnpnjj. What is prob of picking 1 y and 3 r?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107684561284 - -107684682215.890042. Let s = -120932 + x. Let n = s - -0.11. What is n rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*o - 36656 + 131980 + 243301 = 0. What is the highest common divisor of 63 and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*y**6 - 3*y**2 - 6*y**2 - 258 + 83*y**6 + 262 wrt y.\nAnswer: 27240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d + 3*z - 4, -3*z = 5*d - 23. Let q(o) = o**3 - 4*o**2 - 22*o + 6. Let g be q(d). Is (6\/4 + -4)\/(g\/10) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r + 2*r - 3*r)*(6*r - 8 - 8 + 17 + 2*r - 4*r + 3*r + (5 - 1 - 2)*(-3*r + 3*r + r)) to p*r**2 + c + o*r and give p.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/59, -2\/789, -4, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7852 - 3929 - 3923 - b + 2*b**2. Let s(w) = w**2. What is l(v) + 2*s(v)?\nAnswer: 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(104)*-3 + -5*(sqrt(104) - (sqrt(104) + 1*sqrt(104) + sqrt(104))))\/((sqrt(8) - sqrt(72)*-1) + ((sqrt(8) - sqrt(8)*-2) + sqrt(8))*-3))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2763108 + 5?\nAnswer: -2763103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -27635.6436 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20332, 19896, 19176, 18178, 16908, 15372, 13576, 11526?\nAnswer: 9228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05 take away -0.7?\nAnswer: 1.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1)\/1*11\/66*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.077, 0.4, -59, 6?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16115303 times -0.2\nAnswer: -3223060.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12834 is divided by 754.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 9*u - 12*u. Which is smaller: -1\/9 or u?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, -1, -552, 0, 4 in ascending order.\nAnswer: -552, -1, 0, 4, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.6. Let p = -405\/8 + 51. Which is the closest to 1? (a) k (b) p (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/10 and (75\/(-40))\/(-15) - 1054\/48.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 92812720.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-42))\/(1\/(-3)*1). Let z(t) = 3*t - q + 1 - 10*t - 5. Let r(u) = -20*u - 14. What is 6*r(b) - 17*z(b)?\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30646, 30571, 30496, 30421, 30346, 30271?\nAnswer: 30196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230112899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 564229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 706 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*y**3 - 32*y**3 - 56*y**3)*(3 - 4 + 3)*(3 + 0 - 4).\nAnswer: 124*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 15*o - 53. Let n be v(-6). Let x be 105\/(-33) + 3\/n. What is the smallest value in -2\/5, 5, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120, 304, 606, 1038, 1612, 2340, 3234?\n\"Answer: 2*t**3 + 47*t**2 + 29*t + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 277 - 858. Is 80 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13*n**3 + 466*n**2 + 666*n - 21394. Give b(36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 16, 92098\/5 in descending order.\nAnswer: 92098\/5, 16, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**3 - 8*u**2 - 6*u. Let c(q) = 2*q**3 - 4*q**2 - 3*q. Let g(k) = -5*c(k) + 3*j(k). Give g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 3*r + 7629 + 5973, 3*l + 2*r = 10202. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/5011746 and 149\/570?\nAnswer: 476115870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -71.19*0.4\nAnswer: -28.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1853 - 1852. Let w = 1 + -7. Put t, 5, 4, w in decreasing order.\nAnswer: 5, 4, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 495 + -470. Suppose 11416 + 83409 = q*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 84*a - 86*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than 1224.46196?\nAnswer: 1224.42196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84a (base 16) to base 3.\nAnswer: 2220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2127766 (base 9) to base 5.\nAnswer: 243001113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s - 22. Let g be a(25). Let v = g - 68. Factor 17*r**2 + 17*r**2 - 1 + v*r**2 - 43*r**2.\nAnswer: (r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 178 - 96 = -26 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1885 + 2068. What is the remainder when s is divided by 87?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 0, 3*z + 2 = -3*h + 5. Let g(q) = q**2 + 2*q - 1. What is the units digit of g(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - u**2 - 3*u + 535. Let y be ((-3)\/6*0)\/(3\/(-3)). What is the tens digit of a(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.52 + -28.92. What is the third smallest value in -1\/2, 2\/7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15100 + 6?\nAnswer: -15072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 - (-4 + 2 + 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*j + 227*j + 574*j + 28236 = 0 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, 30, 119, 234, 375?\n\"Answer: 13*i**2 + 24*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 9:42 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v - 2*v - 490. Suppose -4*p + o = -0*o - 171, 210 = 5*p - 5*o. Let r = v + p. Calculate the remainder when 25 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -445 + 448. Is 3\/5 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/7 - 988*p\/7 + 27224045\/7 = 0.\nAnswer: -5735, 4747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 - -168. Suppose -r = 67 - q. Suppose -4*p + 53 = v, 7*p - r*p = -3*v + 61. Solve -x + 5*x = 5*g - 18, p = 3*g - 4*x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**5 - 5*d**5 + 2*d**5)*(6 - 1 + 1).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m, 2*j - j - 3*m = -3. Let t = 6 + j. Suppose w - t*w = -6. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16 + 2*b + 25 + 14 + 0. Let c be o(-26). Solve -c*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = -3*x, x - 4*w - 11 = -w. Suppose 5*z - 4*k = 17, -3*z + 19 + 0 = 2*k. Let d be 4*((-2)\/(-4) - 0). Sort z, d, x.\nAnswer: x, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -2.29706?\nAnswer: 5.29706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -97 + 11711 - (0\/1)\/(2\/1).\nAnswer: 2, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**2 - 1\/120*a**5 + 0*a + 0 + 1\/420*a**7 - 1\/672*a**8 + 0*a**4 + 0*a**3 + 1\/240*a**6. Factor u(i).\nAnswer: -i**2*(i - 1)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 6*l + 1209040 = 11*l. What are the prime factors of l?\nAnswer: 2, 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 25 = 20*m. Let d be ((-24)\/9)\/(1\/(-3)). Suppose n = 5*n - d. Solve -2*a + 1 = 2*p + m, a + 3 = -n*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1556 + 7778\/5. What is the closest to 0.1 in -1.18, 0.4, 1\/6, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + 0 + -3)**2*6 - (-4 + (1 + sqrt(832))*-3).\nAnswer: -264*sqrt(13) + 5053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42690 - -42691. Let g = -3806\/3 - -3185624\/2511. Is w not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -260*w - 143. Let f be (7\/((-35)\/(-10)) + 0)*3. Let a(x) = 87*x + 48. Let g(k) = f*v(k) + 17*a(k). Differentiate g(d) with respect to d.\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6860 divided by 196\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -2)\/(2\/(-6)). Let o = -5 - s. Solve -5*h + o*c + c = -15, -4*c - 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/60 - t**4\/24 + t**3\/6 - 12*t**2. What is w(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20793*g - 20777*g + 83148*g - g**2 - 20790*g + 6*g**2 - 20788*g.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from rrrerrrrrrrrr.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c + 14*c**2 + 13572*c**3 - 11*c**2 + 109*c - 56*c.\nAnswer: 13572*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182780 and 18070?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7*(0\/(-3) - -1). Let g be (-5)\/x - (-4)\/(-14). Put g, -2, 2 in decreasing order.\nAnswer: 2, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2447726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-6))\/(3\/(-12)). Let m = 1 - 1.2. Sort g, 5, m in decreasing order.\nAnswer: 5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -27640*z + 331658. Calculate d(12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -8 (b) 89 (c) 14 (d) 0.4 (e) -4 (f) -4108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 8*z**2 - 15*z - 3. Let q be t(-6). Let 16 + 65*r + 26 + q*r**3 + 65*r**2 - 27 = 0. Calculate r.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3 - 3246*c**2 - 871515*c + 3538188 = 0. Calculate c.\nAnswer: -543, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(99\/6)*(1 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -21*s**2 + 3*s**2 + 4*s**2 - s**2 + 7*s**2. Let x(o) = 143*o + 65. Let d(i) = 13*i + 6. Let b(f) = 65*d(f) - 6*x(f). What is b(w(z))?\nAnswer: 104*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*r - b - 12, -b + 78 = 5*r. Suppose -4*c = m - 3*m + 6, c = -5*m + r. Let u be (-3)\/5 - 46\/110*-1. Put 2\/13, u, c in descending order.\nAnswer: 2\/13, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 2*k**3 + 6*k**3 + 0 + 0 - k**3 + (2*k**2 + 3*k - 3*k)*(-1 + 1 - 2*k) + 40*k**2 + 12*k**3 - 40*k**2.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 1037548?\nAnswer: 1037547.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1304 and 137815848.\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/9925367?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**3\/6 - 7*z**2\/2 + 2*z + 258. Suppose 0*x - x - v - 11 = 0, v = x + 13. What is h(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -418.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -29*d**3 - d**2 - 2*d - 1. Let q be v(2). Let l = q + 350. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21878261?\nAnswer: 4021, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n - 4. Let q be o(0). Let h be (-2)\/(-11) + (320\/(-44))\/q. Let f(c) = -1 + c**2 - c + c - c**3. What is f(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -538, -17, -403 in descending order.\nAnswer: 28, -17, -403, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090697235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396 - -751. Suppose 5*a + 55 - k = 0. What is the greatest common factor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5 = -2*u, -13*f + 1 = 4*u - 8*f. Put u, 5, 7, -4 in ascending order.\nAnswer: -4, u, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3475 is divided by 48?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2 (b) 9.5 (c) -0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 22*f - 18. Suppose 29*b + 14*b = 56 - 959. Calculate x(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 948 and 30?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 514758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 65?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 9*u**2 + 9*u + 4. Let x be s(8). What is the second derivative of -15*o + x*o**5 + 4*o**3 - 4*o**3 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164987, 329893, 494675, 659333, 823867, 988277, 1152563?\n\"Answer: -62*v**2 + 165092*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((3 - (-4 + 0)) + -3) - (-326 - -249)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Let o = -5 - -6. Let n = 1 - o. Let p(u) = n*u**2 + u**2 + 0*u**2. What is k(p(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 0*y - 3*y = 16, -6*h + 3*h = 4*y + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, -97857 in ascending order.\nAnswer: -97857, -4, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**8\/a)\/a**(-10)*a\/(a\/a**(-8)*a)*a*a**10 assuming a is positive.\nAnswer: a**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3866837 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554162.\nAnswer: 2, 7, 23, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14865.\nAnswer: 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -1632 (d) 0.74 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79861508.9999912 + 79861535. Let l = -0.13 + -25.87. Let j = l + y. What is j rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/70*(-28)\/(-48).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 70 - (-4)\/(-1) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = 2*c. Let q = c - -4. Suppose q*u - 3*v + 2*v = 70, -50 = -2*u - v. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 1)*(3*q + q - 5*q) + 388 - 388 - 101*q to w + y*q and give y.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -n - n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28229 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + 0 + (1 - 3). What are the prime factors of 1 - (-20 - (-1 - k))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from udjuj. Give prob of sequence uu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/3)*q*q*q**(-1\/4)*q*q**(1\/3)*q*((q*q\/(q\/q**(-1\/3)))\/q)\/q*q*q assuming q is positive.\nAnswer: q**(65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -7*l**5\/10 - 65*l**4\/14 + 4*l**3\/21 - 224*l - 1. Determine m so that h(m) = 0.\nAnswer: -4, 0, 1\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqov when four letters picked without replacement from oorrgqrorrrvrrogoro.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61686175*o - 194798578.\nAnswer: -61686175","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2.8 (c) -8 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 5:23 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2064 and 234.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-36) + -1 - (1280\/(-72) - -18)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-12)\/4)*4\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -28*u - 5*u + 3 - 2 - 20*u. Let n be q(-1). Suppose d = 4, 5*y = -4*d + 50 - 4. What is the highest common divisor of y and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.51595 millilitres in litres?\nAnswer: 0.01251595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/60 - 11*i**5\/30 + 31*i**4\/12 - 7*i**3 - 47*i**2. Find a such that j(a) = 0.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -247213?\nAnswer: 2\/247213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/294*-2)\/(-1*(-8)\/14). Put -0.1, 9, 4, h, 0.1 in descending order.\nAnswer: 9, 4, 0.1, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 6 = -3*m, 0 = f - 22*m + 20*m + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0905251 micrometers?\nAnswer: 0.0000000905251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.0766 (c) 5 (d) 1\/6 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, w: 1, e: 1, c: 1, y: 3}. What is prob of picking 1 i and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*b**4\/19 + 13220*b**3\/19 - 3135926*b**2\/19 + 7106448*b\/19 - 1774728\/19 = 0. What is b?\nAnswer: 2\/7, 2, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8a7 (base 11) to base 4\nAnswer: 100331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*q - 2*q + q - 5*q + (3 + 4 - 6)*(2*q + q - q) in the form a + r*q and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9f23 (base 16) in base 13?\nAnswer: -1570a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1.3, -0.1, -0.5, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4541.9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12010 (base 3) to base 15.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8476 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = -5547*w + 5552*w, 14 = -3*w + n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11223 + 11250 - (80 - 1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.5 - 11. Suppose 2*s - 5*n + 24 = 0, 8*s - 6*s - 10*n = -54. Sort -3\/4, p, s, 0.5 in increasing order.\nAnswer: -3\/4, p, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (16 - ((-12)\/5)\/((-858)\/(-11440)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/9 (b) -1 (c) -68 (d) 0.2 (e) 4\/3 (f) 404\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t**2 + 22*t + 35. What is the remainder when w(-8) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 93 (b) 1 (c) 0.1 (d) -200 (e) -2\/17 (f) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2520790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3100*n - 353. What is the units digit of h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-44)*(18\/15)\/((-114)\/(-1330))?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 2*i - 2*i + ((37 - 29*i - 37)*(-10 + 10 - 2*i) + i**2 + 0 + 0)*(-2*i**2 - i + i).\nAnswer: -120*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73750 and -0.3.\nAnswer: 22125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -158992, -317131, -475268, -633403?\n\"Answer: a**2 - 158142*a - 851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n**2 - 10*n + 7. Let c be d(8). Let k = -27 + c. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbaatxq. Give prob of picking 1 c, 1 t, 1 x, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/5574 and 37\/6.\nAnswer: 5574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 39*y - 27*y**2 + 11*y**2 + 9.\nAnswer: -16*y**2 - 39*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1090 and 10584990.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*c + 162 = -222*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z**3. Let y(q) = 1452*q**3 - 22*q - 44. Let x(h) = -132*s(h) - y(h). What is the second derivative of x(c) wrt c?\nAnswer: -12672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 745599?\nAnswer: 11183985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/56 - ((-18135)\/280)\/(-93).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 340205 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -4*b**2 + 0*b - 7 + 1\/3*b**3. Let i(n) = n. What is i(x(k))?\nAnswer: k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23052381 divided by -7684127?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-1428))\/(2457\/728)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 58*o - 284. Let s be c(-6). Solve -6 = 2*j - 2*u, 11 = 4*j - 5*u + s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7026, 7219, 7412, 7605, 7798?\n\"Answer: 193*t + 6833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = -20*u + 11*u + 153090. Does 54 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 470690401, 470690398, 470690395, 470690392?\n\"Answer: -3*d + 470690404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**2 - 4*f**2 - 1 + 0*f**2 + 4*f**2 as a*f**2 + o + t*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 19*w**3 + 1 + 2*w**2 - 18*w**3 + 0 - 4*w**2. Let p be m(2). Let q = 98\/195 - 4\/39. What is the biggest value in q, -2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 5*g**4\/24 - g**3\/3 + 14*g**2. Suppose 0 = 5*d - 2*d + 3. Let n(s) = -s. Give d*p(x) - 6*n(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 3:50 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 90 = -348. Suppose 39*r = m*r - 20. Solve -j = f - r, 2*j = -f - j + 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2237852 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 1. Let k(s) = -s**3 + 5*s**2 + 2*s - 5. Let i be k(5). Suppose i*h + 3 = 8*h. Let f(r) = 2*r**3 - 5. What is h*f(l) + 5*w(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35400 by 120.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*q - 16 = -52*q. Factor 16\/3*f**3 - 4*f**q - 2*f**4 + 2\/3 + 0*f.\nAnswer: -2*(f - 1)**3*(3*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 13*m**2 + 34*m + 21. Let v(i) = 0*i**2 + 3*i**2 - 955 + 8*i + 0*i**2 + 960. Let p(a) = -2*u(a) + 9*v(a). Suppose -g - 1 = 3. Give p(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 9. Calculate r(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1369*c + 1494. What are the prime factors of o(17)?\nAnswer: 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-114)*12*1\/((-5)\/(360\/176))\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - s - 1. Let l(j) = -42*j**2 - 5*j - 5. Calculate 4*h(c) - l(c).\nAnswer: 38*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000049864294 rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47412499 is divided by 960?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (5 - ((9 + -3 - 21) + -67) - 10).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35, -66, -111, -164, -219?\n\"Answer: b**3 - 13*b**2 + b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1062493587?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*f - j + 16, -5*j + 16 = -f. What is the derivative of -8*v**4 + 3*v**3 + 10*v**f + 99 - 94 wrt v?\nAnswer: 8*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:34 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*y = 20, 3*y = -3*k - y - 15. Let u(p) = 9*p + 2. Let g(q) = 5*q + 1. Let b(l) = 5*g(l) - 3*u(l). Let t(o) = o. Determine k*t(r) - 2*b(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 4*t + t + (-35 + 35 - 21*t)*(-4 + 2 + 1) + 2*t - 4*t + 4*t - 4*t - t + 4*t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1161 - 190. List the prime factors of i.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*f**2 + (-3*f + 6*f + 0*f)*(-5*f + 4*f + 2*f) + 3*f + f**2 - 3*f + f**2 - 8*f**2 - 3*f**2 in the form v*f + t + y*f**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((8 - -3) + -9 - (9 - -1)) + (7 - 13)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 111*r**2 - 3012*r - 344. What is w(-64)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u\/u**(-8)))*u)\/(u*u**30))\/(u*u**(-5\/2)*u*u*u**22) assuming u is positive.\nAnswer: u**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -179*r - 2454. Let j be m(0). What is j rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110 - 76. Suppose 3*t = 5*p - l, -2*p + 9*t - 10*t + 7 = 0. Let d(f) = 8*f + 55. What is the tens digit of d(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 4, 46, 7, -46, -9 in descending order.\nAnswer: 46, 7, 4, -9, -40, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/48656290 and -39\/34059403?\nAnswer: 340594030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 8. Suppose -a + 3 = 3*q, -q - 5*a = n*q + 5. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 10, -6*h + 4*h = -4*k + 8. Suppose 4*y + 3*n = 3, 5*n = -k*y - y + 5. Solve y*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-5))\/(9\/150). Let q(n) = n**3 + 6*n**2 + 2. Let c be q(-6). Suppose k = c*w - w. What is the highest common factor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/745000 and 8\/15?\nAnswer: 2235000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 6167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3e6e68 (base 15) to base 11\nAnswer: 1776813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74897764?\nAnswer: 2, 3463, 5407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**2 - 2*v - 30. Is 5 a factor of u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1271618?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 14 = -4. Let t(r) = 3*r - 6. Let h(n) = n - 1. Let j(k) = y*h(k) + t(k). Let u be j(2). Is -9\/5 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-6))\/((-10)\/3).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 10. Let v be x(7). Suppose v*g + i = 33, 4*i = -5*g - 0*i + 44. Let p = -14 + 20. Calculate the least common multiple of g and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*r - 8*r - 118 = -r, 21*x + 571*r = 573*r + 96 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/36)\/(1*1\/(-30)). Put -11, -5, z in decreasing order.\nAnswer: z, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -17*h**7\/525 + 4*h**6\/5 - 83*h**5\/50 + 13*h**4\/30 - 3*h**2 + 201*h. What is j in r(j) = 0?\nAnswer: 0, 2\/17, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:23 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 + 20*b**2 - 247 + 247.\nAnswer: 41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -2 (c) 21\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 5:21 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59\/12 - 1\/3. Let x = 159\/28 + l. Let w = -8 + 8.2. Which is the closest to 0? (a) x (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**5\/5 + 3*h**4\/2 - 4*h**3 + 5*h**2 - 3*h + 201. Solve b(z) = 0 for z.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.2869 and -2.\nAnswer: -3.2869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 2, o: 4, q: 3, j: 1}. Give prob of picking 1 o, 1 j, and 2 q.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 187*n - 97*n - 92*n. Let z(w) = 16*w. Let y(l) = 495*l. Let o(v) = -6*y(v) + 187*z(v). What is o(s(c))?\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 19*i**2 + 21*i - 20. Let s be t(20). Suppose s = -4*j + 9*j. Suppose 0*m + m - 15 = j. What is the remainder when m is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7478.9995299 - -7479. Round d to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (4 + 2 + sqrt(7)))*1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**3\/u))\/((u\/(u*u**(-1)\/u))\/u*u)*(u**9*u*u)\/u**(8\/7) assuming u is positive.\nAnswer: u**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -3*b**2 - 5*b - 31. Let t(i) = -5*i - 4. Let k(g) = 4*o(g) - 5*t(g). Let l(w) = -28*w. What is l(k(z))?\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9612700.\nAnswer: 2, 5, 97, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 4*b**3 - 812*b**2 + 36984*b = 0.\nAnswer: 0, 69, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2591, 44, -3 in ascending order.\nAnswer: -3, 44, 2591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-2))\/1)\/((-32)\/(-512))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65174 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 3*i + 6*i + i**2 + 3*i. What is c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9680 divided by -880?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11012010 - -2?\nAnswer: 11012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*o**3 + 5*o - 20*o - 2*o + 10*o in the form x*o**2 + r*o + t + i*o**3 and give i.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 - 68. Let q = f + -100. Suppose 0 = q*t - 19*t - 5. Round t to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2222 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/32*(0 - 4)*8. Solve s*p + 9 - 9 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1806415.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 1\/8 (b) -4 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 634 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -26. What is the least common multiple of a and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1597.71393 - -0.11393. Let h = w + 1450. Round h to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/2120 and 33\/169600.\nAnswer: 169600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50392 divided by -1227.\nAnswer: 50392\/1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -2*b**3\/3 - 5*b**2\/2 + 11. Suppose -6*h = -0*h - 42. Let f(o) = 4*o**2 + 11*o. Calculate h*w(v) + 3*f(v).\nAnswer: -2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 248 + -4?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 82 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 18*g - 13*g. Solve 2*l = -3*t + g, 16 = l + l + 4*t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -1375.19.\nAnswer: -1389.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, q: 6, l: 4}. What is prob of picking 1 y and 1 l?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -14031430?\nAnswer: 14031430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 + 3*f**2 - f**2)*(18*f - 6*f + 58*f)*(2*f - 4*f - 9*f) to the form v*f**2 + d*f**3 + p*f + l*f**4 + y and give l.\nAnswer: -1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*-2)\/(sqrt(12) - (sqrt(132)*-1)\/sqrt(11)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 2*z + 3*w - 2882, -3*z - 4*w = 2149. Let l = z + 1125. Is l a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4993.\nAnswer: 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**6\/55 + 3*i**4\/11 - 8*i**3\/11 + 9*i**2\/11 + 4*i. Let o(k) = 0. What is k?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 0.4. What is the closest to 2 in -3, -1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -2*c**5\/25 - c**4\/2 - 2*c**3\/5 + 9*c**2\/5 + 4. Find n such that r(n) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1\/6*m**3 + 0 + m**2 - 14*m. Give u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194b (base 12) to base 15\nAnswer: -da8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1007251 + 4029041\/4. Find r, given that 39\/4*r**2 - 75\/4*r + n - 1\/4*r**3 = 0.\nAnswer: 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 23*x**2 + 538*x + 124. Determine g(-39).\nAnswer: 3478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-17))**17*n**(-9\/4)*n*((n*n**(-3\/11)\/n)\/n)\/n*n)**(-9) assuming n is positive.\nAnswer: n**(115443\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 712 divide 260134110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -1*(sqrt(70) + sqrt(70)*1))\/sqrt(10) + 0 - ((sqrt(784) - sqrt(49) - sqrt(49))*-2)\/(5*(-2*sqrt(7) + sqrt(7)) + sqrt(7)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92.339699709 from -3.\nAnswer: -95.339699709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1258, 125, 2\/9, 0.2, -2\/15 in increasing order.\nAnswer: -1258, -2\/15, 0.2, 2\/9, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -45*a + 28. Let v(u) = -122*u + 83. Let t(o) = -11*k(o) + 4*v(o). What is t(-11)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304)*1)**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 2:45 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 18 = -5*g + 19, 0 = 3*d - 5*g + 29. Let j(s) = -2*s + 10. Let l be j(d). Calculate the remainder when 11 is divided by (4\/5)\/(l\/65).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51342 + -2?\nAnswer: 51340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 508*l**2 + 26*l + 7. Let g(p) = 3*p**2 - 2*p - 3. Let b(w) = -d(w) - 6*g(w). Find the second derivative of b(z) wrt z.\nAnswer: -1052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(2)*3 - sqrt(2)).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30637723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 0.2 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/3 + 86*v**2\/3 + 841*v\/3 + 1330\/3 = 0. What is v?\nAnswer: -7, -2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*((p\/((p\/(((p\/p**6*p)\/p)\/p))\/p))\/p)\/p*p*p**(2\/9)*p**(-8)*p**(-1) assuming p is positive.\nAnswer: p**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, 238 in descending order.\nAnswer: 238, 25, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -1) - (0 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 0, 6, 26, 66, 132, 230?\n\"Answer: b**3 - 2*b**2 - 3*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16523242 minus 160?\nAnswer: -16523402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5624 - 1?\nAnswer: -5625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 27 - 34 - 37) + -29?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 59*w**2 - 6*w - 2. Let x(r) = 59*r**2 - 8*r - 4. Let n(u) = -4*q(u) + 3*x(u). Let y(g) = -3*g. What is y(n(d))?\nAnswer: 177*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -587 in -5, -0.02, -3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 1101010101000001110?\nAnswer: 1101010101000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 116579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 450082781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(22) - sqrt(44)\/(sqrt(2)*1) - sqrt(2662)*-1)\/(sqrt(24)\/(sqrt(192)*-2)).\nAnswer: 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(80))\/(sqrt(7) + (-1*sqrt(343) - sqrt(7))).\nAnswer: -sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/15 - 4706*s**3\/5 + 853756*s**2\/15 = 0.\nAnswer: 0, 61, 6998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/17)*i\/(i\/((i*i*i*i\/i**(-10\/9)*i)\/i))*i*i*i*i*i*i**(6\/7)*i**(-2) assuming i is positive.\nAnswer: i**(9731\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 54.9. Let p = -153.9 - -99. Let s = p + n. Which is the closest to 0? (a) s (b) 1 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 3*t - 3. Let p(a) = 2*a**2 + 2*a + 2. Suppose -6 = -3*i - 0. Let m(x) = i*c(x) + 3*p(x). Let q(y) = 0*y + 2*y - y. Determine m(q(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 21 = -2*o + 3*p, -10 = 5*o + 5*p. Which is the closest to -2? (a) 4 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 48557 and 48 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s - 36. Calculate w(18).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 7:09 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 2. Let o(f) = 7*f**2 + f - 2. Let x be ((-1)\/((-5)\/(-10)*-1))\/2. Let c(s) = x*v(s) + o(s). Let z(j) = -40*j. What is c(z(w))?\nAnswer: 11200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-15)*(((-6)\/(-16))\/1)\/(7035\/112560).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1947410 to the nearest integer?\nAnswer: 1395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-52.79\nAnswer: 0.5279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by 5609?\nAnswer: -177\/5609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 4:30 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664 + 667 + 663 - 1459 - 1194 - 29*v + 659.\nAnswer: -29*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + b = 4*b + 1053, -2*o + 727 = 3*b. Suppose -3*j - o = -7*j. What are the prime factors of j?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2130)\/(-1120) + -2 - ((-156)\/91)\/6?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + -2 + sqrt(1088))*4*2*-6*-3)**2.\nAnswer: 5971968*sqrt(17) + 203793408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfl when three letters picked without replacement from {f: 9, k: 2, l: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 14 = 2*w, -s + 1 = -2*s. Let v be (-15)\/(-15) + 69\/(-12). Which is greater: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.95659 to one decimal place.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 318*g = 314*g - 492, 4*g = -q + 108. Solve 61*t = q + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40493, 40496, 40491, 40472, 40433, 40368, 40271, 40136?\nAnswer: 39957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1571*r**2 - 7*r**3 - 1571*r**2 - 13*r**3 + 22*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 182*l**5 - 162*l**2 - 2*l + 2. Let v(m) = -728*m**5 + 649*m**2 + 9*m - 9. Let u(z) = -9*s(z) - 2*v(z). What is the third derivative of u(h) wrt h?\nAnswer: -10920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(5\/12))**(-2\/41)*(o\/o**(-36))**31 assuming o is positive.\nAnswer: o**(282155\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 + 567*j\/2 + 3058 = 0.\nAnswer: -556, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iid when three letters picked without replacement from jijiidi.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/32 and 38\/9.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/6 + 3*o**3 + 4*o**2. What is the units digit of g(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219750.\nAnswer: 2, 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3079527311?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*2)\/(2*sqrt(80) + sqrt(80)) + (sqrt(119) - (sqrt(119) - 6*(sqrt(119)*-2 - sqrt(119))))\/sqrt(7) + 0 + -4.\nAnswer: -55*sqrt(17)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -789 (base 10) to base 4\nAnswer: -30111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from hqhhlqqvqhl.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 at least -6404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**3 + 15460*v**2 - 3309900*v + 171457920 = 0.\nAnswer: -3296, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 15}. Give prob of sequence fff.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 times 102993?\nAnswer: 7415.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**6\/6 - c**5\/2 + 5*c**3\/3 - 5*c**2\/2 + 6*c. Factor f(l).\nAnswer: 5*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73, -718, -2501, -5992, -11761?\n\"Answer: -95*t**3 + t**2 + 17*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5125 take away -5?\nAnswer: 4.4875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/4 - a**3\/6 - 137*a**2. Determine z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*m**4 + 1680265*m**3 - 2655*m**2 + 5193*m - 1 wrt m.\nAnswer: -1392*m + 10081590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27284212 by -4.\nAnswer: -6821053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a4 (base 11) to base 13.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*k - 34. List the prime factors of k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suusuggoshuhhuhgshg. What is prob of sequence uuo?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*g - t, 0 = -3*g + 2*t - t + 16. Let p be 2\/8 - 17\/g. Let d be 11\/(-10) - p\/8. What is the second biggest value in -0.5, 4, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/(2\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 41*u = 276. Let l = 72 - u. Solve l*a - 2*c + 3 = -6, 3*a + 5*c = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*l + 39*l - 16*l)*(-4 + 1 + 1)*(66 + 12 - 28) in the form s + a*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 6*b**2 - 33*b - 190. Let q be r(-7). Suppose 0 = 36*p - q*p - 54. Which is bigger: p or 2\/1947?\nAnswer: 2\/1947","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f + 36*f + 10318 = 0. What are the prime factors of f?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -1, -0.2, -0.3, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 486 - 504. Let k be -3*(-17)\/p + 3. Which is greater: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/(-8) - -4 - (-1)\/4. Suppose v + v + 14 = c. Does 12 divide -345*(2\/6)\/(6 + v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 54*r**5\/7 - 3672*r**4\/7 - 11700*r**3\/7 + 14128*r**2\/7 - 4978*r\/7 + 568\/7 = 0.\nAnswer: -4, 1\/3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 154 and 3810.\nAnswer: 586740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38 (b) -1 (c) 4\/23 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - 10. Let i = g + 34. Suppose 79 = -3*h + 4*h + i*f, 5*h + f - 419 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.439 take away 14.6?\nAnswer: -12.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**2*u**5 + 280*d**2*u**2 + 2*d**2*u + d - 3099 wrt u.\nAnswer: 40*d**2*u**3 + 560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20295874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 8*f + 8. Let d be k(8). Suppose -4*m + 4*p + d = 0, -6 = -2*m - 2*p + 3*p. Calculate the least common multiple of 7 and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + 0*w**3 - 4*w**3)*(-106*w + 58584 - 58584).\nAnswer: 106*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*c - 3733 = -8127 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135685894?\nAnswer: 2, 67842947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b + 5*b**3 - 5*b - 3*b**3 + 3*b**3 - 2*b**3 + (4 + b**3 - 4)*(-2 - 2 + 2).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffg when four letters picked without replacement from {b: 3, i: 1, f: 1, g: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 + 108*y**3 + 780*y**2 + 676*y = 0. Calculate y.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129969951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 321023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 100010333301?\nAnswer: -100010333300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47\/((-205296)\/2058) - (-2)\/(-13).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x = -0*x + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2731848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let j(i) = -106*i. What is d(j(p))?\nAnswer: 106*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 33*m - 1. Let k be c(1). Suppose -2*o + 4*u - 2 = 0, 6*o - 5 = 2*o - u. What is the tens digit of k + -3 + (o - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60803141699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43859, 87681, 131503, 175325, 219147, 262969?\n\"Answer: 43822*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - ((-7)\/(2 + -3) - 4). Does 19 divide (-378)\/45*40\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 229\/1040130 and -89\/1578864.\nAnswer: 307878480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -4433?\nAnswer: 4443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*z + 2*z = -24, 15 = 3*a - z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1437 + -1436.357. What is p rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-4)\/(-120)*(-20)\/6\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*16\/10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/11 and 41\/331.\nAnswer: 3641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1825394449 + -55.1825397549. Let g = -55 - k. Round g to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-216)*-8 + (-1 - (-62)\/126). Which is the biggest value? (a) 35 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -1242 - 422. Let c(g) = -2*g**3 - 51*g**2 + 836*g + 21589. Let i be c(-25). Calculate the greatest common factor of i and k.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/43, 12, -5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**2 + 0*m**7 + 0 + 0*m**6 + 0*m**3 + 19\/336*m**8 + 0*m + 1\/24*m**4 + 0*m**5. What is the second derivative of g(q) wrt q?\nAnswer: 380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 11. Let w(t) = -t + 2. Let c(u) = -2*p(u) - 11*w(u). Let d(o) = -o + 1. What is 5*c(r) + 3*d(r)?\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 16, -3, 25 in decreasing order.\nAnswer: 27, 25, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*m**2 - 112*m**2 - 88*m**2.\nAnswer: -325*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(2)*-3 - sqrt(30))\/((sqrt(120)\/sqrt(3))\/sqrt(4)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/12 + 25*s**4\/8 - 114*s**2 - 2*s. Suppose b(f) = 0. Calculate f.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -20*a + 1. Let t(n) = -10*n**2 + 7*n - 14. Let o(v) = -5*v**2 + 4*v - 8. Let k(r) = -7*o(r) + 4*t(r). Determine y(k(f)).\nAnswer: 100*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(832) + sqrt(260)\/sqrt(5) - (-1 + sqrt(104)\/(-1*sqrt(8))))*-4)**2.\nAnswer: -160*sqrt(13) + 5216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 814 - 813.95. Which is bigger: u or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29147, -5, 0, -3, 14 in decreasing order.\nAnswer: 14, 0, -3, -5, -29147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 312 - 302. Suppose r*u + u = 4400. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d**(-7))\/(d**3\/(d**(-1\/2)\/d)))\/((d**(-1))**(1\/14)*d**(-1)\/(d\/(d*d**(-1\/8)*d*d))) assuming d is positive.\nAnswer: d**(-913\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*x + 45, 0 = -3*x - 2*j + 21 + 22. Let g(z) = -2*z**3 + z**2 - 3*z - 3. Let r be g(-2). Let y = x + r. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 5, r: 15}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (4*-4*sqrt(66) - sqrt(66)))\/(4*(sqrt(6) + sqrt(54))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -8, 0, 25, -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and -454976.\nAnswer: -454985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z*(z\/(z\/(z**18*z)))\/z))\/(z*((z\/(z\/(z*z**(-1\/39))))\/z)\/z) assuming z is positive.\nAnswer: z**(-662\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 50 = -2*a - 0*z, -3*z = 3*a + 84. Let m(c) = 2*c**2 + 40*c + 82. Is m(a) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -5 + 7\/1 - (-1 - -1) and 59.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/67)*d)**44 assuming d is positive.\nAnswer: d**(5808\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.8*0.18.\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 756, 1506, 2254, 3000, 3744, 4486?\n\"Answer: -i**2 + 753*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/6 + 12\/(-18). Let c be (i - 0)*-1 - -6. Suppose c*l + o + 0*o - 323 = 0, -4 = 2*o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38475*h + 1650 = 38365*h for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*j**3 + 2*d*j**2 + d*j + 125*j**3 - 114*j wrt j?\nAnswer: 6*d*j + 4*d + 750*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 4.2. Let g = i + 0. Which is the nearest to -0.1? (a) -0.5 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/1383?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-12) - (-35079)\/18) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-583)\/(-11))\/(1\/3). Suppose 5*o - w - 56 = 0. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1307, -1291, -1263, -1223, -1171, -1107?\n\"Answer: 6*v**2 - 2*v - 1311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*b**2 - 100*b**2 + 132*b**2 to the form u + h*b**2 + i*b and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204499581 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -180\/7, -3, 453?\nAnswer: 453","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0, 5, -0.38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 47580*o**2 + 14*o. Let c(w) = 11*w**2. Give x(c(p)).\nAnswer: 5757180*p**4 + 154*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3262462 + -16?\nAnswer: -3262478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27082 and 330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4842721 + 5?\nAnswer: -4842715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -x + 3. Let s be (2\/x)\/(12\/(-18)). Suppose 3*q - 2 = 4. Solve -s = l + q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**6\/120 - k**5\/60 - k**4\/24 + 23*k**3\/6 + 2*k**2. What are the prime factors of y(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 2*b + 1\/20*b**5 + 0 + 1\/3*b**4 - 1\/2*b**3 - 5\/2*b**2. What is n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12161 * 1146.\nAnswer: 13936506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133085 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*j = 115, 2*p + 2*j - 7*j = 75. Let w be -2 + (12\/5 - (-15)\/p). Let i(l) = 3*l. Determine i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -11. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - -449?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -22. What is the third biggest value in 0.1, 2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 103 and 6?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o - 12 + 6)*(5 + 5 - 6)*(-5 + 5 - 2)*(-1 - 7 + 5).\nAnswer: 24*o - 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -5. Let 0*m**3 - i*m**4 - 6*m**4 - 10*m**3 - 3*m**4 + 4*m**2 = 0. Calculate m.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 7}. Give prob of picking 2 g and 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53540005.\nAnswer: 5, 19, 61, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -33*r - 250. Give p(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(91) - ((sqrt(91) - -1*sqrt(91)) + sqrt(91) + sqrt(91) + sqrt(91)))*-2*3)\/(sqrt(28)\/(sqrt(4) - (sqrt(8)\/sqrt(2) - sqrt(4)))*5))*-5.\nAnswer: -24*sqrt(13) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 + 25 = 0. Suppose 1690 = o*b + 4*b. Suppose -b = -11*n + 6*n. Calculate the highest common divisor of 78 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - n + 38, 0 = 4*g - 4*n - 0*n - 28. What is the greatest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.70568946 to 2 dps.\nAnswer: -24.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*x**3 - 91*x wrt x.\nAnswer: 528*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*z + 34560 = 6*z. Let g = z - -891. Solve -5*h + g = 2*y + 8, 3*y - h = -14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 594*u + 29403.\nAnswer: 3*(u + 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/8)\/((-12)\/(-8)))\/(5\/90)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 5*u**4\/4 + 85*u**3 - 5*u**2\/2 - 255*u + 598. Determine x, given that w(x) = 0.\nAnswer: -51, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*v - 12 - 5*v**2 - 3*v + 13 + 1)*(4*v**2 + 12*v**2 + 2*v**2) as u*v + c*v**3 + k + f*v**2 + m*v**4 and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/17*(-1)\/(-10) + 1184928\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15162, 30371, 45578, 60783?\nAnswer: 75986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 236 = 3*o. Suppose 9 = 4*f - o. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-234)\/(-143) + (-26)\/(-11) - (-19)\/(-6)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*o, -3*h + 8 = -3*o + 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48 and -176.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(sqrt(5)*-3) - (sqrt(13) + (0 + sqrt(143)\/sqrt(11) + sqrt(13))**2))*-3.\nAnswer: 4*sqrt(13) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/24 and -29\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 1 - (140\/(-7))\/(-10). Suppose -r - 4*z = -221 + 31, 0 = 4*r + l*z - 748. What is the highest common divisor of r and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 31 = 5*u. Let x = 25 - u. Calculate the smallest common multiple of 5 and x\/9 + (-58)\/(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let g(j) = 52*j**2 + 18*j + 2. Let i(b) = -2*g(b) + 6*w(b). Factor i(t).\nAnswer: -2*(4*t + 1)*(13*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54094 by -29.\nAnswer: -54094\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*z + 24. Sort 1, z, 0 in decreasing order.\nAnswer: z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26843 - 1660368.395\nAnswer: -1633525.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 48343 = -5344. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 4, w: 3, d: 4, t: 7}. Give prob of picking 1 t and 1 w.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p - p + p**2 + 0*p + 2. Let h(k) be the third derivative of -k**5\/10 + k**4\/4 - 11*k**3\/6 - 5*k**2 + k. Calculate -2*h(w) - 11*n(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**2. Let n(s) = -s**3 + 4*s**2 + 5*s. Let r be n(5). Let h(v) = 3*v + r*v - v + 0*v. Calculate i(h(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -274 times -3340?\nAnswer: 915160","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 30 = 5*h + 6*l, -3*h + 4*l + 39 = 0. Suppose -11*v + h = -134. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -4?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4123 - 4142 = 4*a - 8309. What is the remainder when 389 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 254*m + 3 + 514*m - 263*m.\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 32 = -3*v. Let i be (v + -5)\/((-3)\/(-2)). Suppose 6*l - 2*l = 2*h - 6, -4*h + 12 = -3*l. Solve i*n + h*j + 3 = 2, 5*n + 5*j - 5 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3788522 times 9.9\nAnswer: -37506367.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1082, -1081, -1080, -1079, -1078, -1077?\n\"Answer: h - 1083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038 + 133*q + 1035 + 10*q - 787*q.\nAnswer: -644*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**2 - 8*u**4 - 559*u**6 + 137 - 10 + 546*u**6 wrt u.\nAnswer: -1560*u**3 - 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2, -212038, -4, 3 in decreasing order.\nAnswer: 3, 1, 0, -2, -4, -212038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10592 divided by -5\nAnswer: 10592\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 203000?\nAnswer: 202bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 41. Let c = 0.6 + -0.3. Sort 0.7, c, l, 1 in descending order.\nAnswer: l, 1, 0.7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 42 = 2*x, 4 = -4*x - 0*x. Let q be (-3)\/57*(-13)\/(-52)*b. Let -q*l**4 - 2\/19*l**3 + 2\/19*l**2 + 2\/19*l + 0 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 5:35 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g, 0 = -3*k + g - 1 - 1. Let f be (-1)\/3*-12 + (0 - 1). List the prime factors of (5\/2 + k)*(29 - f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-14)*y*y*y**(-15))**(-1\/35) assuming y is positive.\nAnswer: y**(26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 10*z**2 + 13*z - 24. Suppose 7 = 4*g + 4*d - 25, 2*g + d = 19. What is p(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - (-685)\/(-50))\/(-3) + (-51)\/(-10). Solve 2*y = -18 + 24, -4*j - g*y + 23 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -186*g + 1494. Let v be u(8). Let s(d) = -6*d + 25. Give s(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. Let g(p) = -p**2 - p - 11. Let k be g(0). Let x = 15 + k. What is the remainder when s is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - 108. Let r = 110 + s. Is (r\/6)\/(-8 + (-88)\/(-12)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4 - 4*a**2 + a**3 + 0*a + 11 - 3*a. Let x be 16\/3 + 3\/(-9). Is 11 a factor of z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/15*(-714)\/98*7\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from zaae.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 25*a**2 + 24*a + 47. Let p be o(26). Let g be (p - -18 - 4)*3. What is the second derivative of -2860 - g*s**2 + 2860 - 14*s wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 32*h**2 + 20*h + 54. What are the prime factors of t(-31)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**2 + 7*g - 6. Let h(o) = o**2. Let d(k) = -3*h(k) - v(k). Let m(q) = 21*q**2 - 24*q + 21. Let r(c) = 18*d(c) - 5*m(c). Let r(b) = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022100111212 - 2?\nAnswer: -10022100111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pyppppypp?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.6. What is the nearest to -0.5 in d, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 3:20 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) 18 (b) -5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/4)\/(-70)*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7159434\/665 + 10766. Calculate the common denominator of k and 62\/15.\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15526 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:42 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.22 - -7.32. What is the closest to -3 in 0.7, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 * 1.47\nAnswer: 13.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -183271464 divided by -313821?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -260 - 3999*s + 137 + 136. Let w be c(-13). What is w rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.3, -1\/30, -2, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 21*r - 15 = -4*l, 2*r - 2*l - 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3164 - 1702.3164. Let f = l - -1701.8093. Let x = -0.19 - f. Round x to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.1, 2\/7, -0.03.\nAnswer: -1.1, -1, -0.03, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27692?\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m + 6. Calculate n(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + -1 + -1 + 2.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 788.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -39.94.\nAnswer: 199.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*n - 17 - 25 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1)))**(-9\/2)*u*u**(-2\/11)*(u*(u\/(u*u\/(u*u**(1\/5))))\/u)\/u assuming u is positive.\nAnswer: u**(497\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2237 - 4488\/15659. What is the closest to -3 in y, 4, 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 1, e: 1, l: 1, x: 1}. What is prob of picking 1 e and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trtttrttrttttt. What is prob of sequence trrt?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -7*a - 40. Suppose -b = -2, 440 = a*u + 2*b - 0*b. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 14cbc?\nAnswer: -14cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.6 + 5.2. Put -3\/5, 29\/5, n in decreasing order.\nAnswer: 29\/5, n, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((3 - 1) + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3376, 3603, 3824, 4039?\n\"Answer: -3*n**2 + 236*n + 3143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1720\/150 + -12)\/(0 + (-5)\/(-15))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + sqrt(272) + 0 + 0)**2 + (sqrt(272) - (sqrt(272) + -1 + -2) - sqrt(272)) - ((sqrt(272) + (sqrt(272) + 2 + sqrt(272))*-3)*2)**2.\nAnswer: -26253 - 964*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -13. Let s = z - -13. Let m(r) = r**2 + 17*r + 3. Let l be m(-17). Solve l*p + 10 = -s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-93)\/24 - (-4)\/(-32). Let d = m - -13. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762714641.\nAnswer: 7, 257, 653, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(152)\/sqrt(32))*6.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 - 5*j**4\/12 + 11*j**3\/6 - 5*j**2. Let z = -6 + 15. Let g be p(z). What is the greatest common divisor of 12 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 4. Let i be z(7). Suppose i*x = 5*x + 30. Calculate the remainder when 11 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 53. Suppose -4*z + 8*z = -5*u + 90, 3*u - v*z - 32 = 0. Calculate the remainder when 81 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 - 49. Let q be (21\/(-27) - (-4)\/(-18)) + y. Find the third derivative of q*b**2 + 8*b**3 - 11*b**2 + 10*b**3 - 6*b**2 wrt b.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(sqrt(11) + 1 - sqrt(11)) + sqrt(110)\/((sqrt(1210) - (sqrt(1210) - sqrt(1210)*2)) + sqrt(1210)) + -2 + sqrt(396) + 5 + sqrt(396) + 1 + 5.\nAnswer: 14 + 397*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 83?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 204 - 20. Suppose 0 = 10*k + 13*k - h. Solve 2 = -5*t + v, k*v = 4*t - 9 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.748909 + 2.25109. Let q = 4 - i. What is q rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28942059205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 6*w**2 + 6*w - 9. Let a be z(6). Let u = a - 12. Calculate the greatest common factor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**4\/4 + 7*f**3\/3 - 4*f**2 + 7*f + 681. What is r(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 - 536 - 531 - 531 + 1598 + g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1997 + 3771. Calculate the least common multiple of t and 20.\nAnswer: 17740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 130\/(-52)*80\/25.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 9. Let r be g(9). Suppose -3*w - w - 36 = r. What is the remainder when 58 is divided by w*(-2 + (-12)\/9)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -6*o + 16. Let j(u) = u**2 + u - 4. Let r be j(o). What is the units digit of r\/(-9)*-3*(-5 - -8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 36*n + 499. What is q(15)?\nAnswer: 1084","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 - 61. Suppose -2*a + l = -8. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -0.3 (c) 11 (d) -1075\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00328788 to 4 dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1936*a + 1904*a = 64. Let v(f) = 3*f + 3. Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(12\/18) + 5108\/8?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -28. Which is the fourth biggest value? (a) -0.5 (b) 0.2 (c) -1\/5 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957811.5 micrometers in millimeters?\nAnswer: 957.8115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**3 - 34*d**4 - 3*d**3 + (2 - 2 + 3*d)*(-4*d**3 + 4*d**3 + d**3) + (9*d**3 - 7*d**3 - d**3)*(-2*d - 2*d + 2*d)*(1 + 2 - 6).\nAnswer: -25*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -8, -42, -96, -176, -288, -438?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-10)\/2 - -43). Let x = -44 + h. What are the prime factors of (162\/x)\/(5\/(-35))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = -3. Let z(b) = b. Let k = 116 + -71. Let o(c) = -45 + c + k. What is l*o(w) - 2*z(w)?\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/48072 and -143\/180.\nAnswer: 721080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 5, d: 13}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -f - 3*f + 1396040, 1396030 = 4*z + 2*f. Suppose -z = g - 5*j + 4*j, 5*g - 3*j + 1745015 = 0. What is g rounded to the nearest 10000?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from bbbbbbbbbbbbfbbfbb?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, -4, 1200, 5 in increasing order.\nAnswer: -4, 0, 5, 10, 1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from 307.2314.\nAnswer: 307.2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331 - -994\/3. Which is the closest to 0.3? (a) -0.5 (b) u (c) -4 (d) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1892 + 2710. What are the prime factors of x?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -24\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*p - 162*p = 0. Solve p = a - 27 + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z**3 + z**2 - 3*z + 2. Let s(w) = -w**3. Let c(n) = -m(n) + s(n). Let h be c(1). Is (204\/8 + 1)\/(2\/h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/36)\/((-4)\/18). Suppose m*d - 3*w + 4 = -2, 5*w = -3*d + 26. What is the second derivative of 12 - 12 - 4*v**d + v wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9581.223s in minutes?\nAnswer: 159.68705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 7*p**2 + 6 + 0 - 3*p - 2*p. Let r be w(5). Suppose 103 = 4*h + r. Solve 2*b = 4*f - h, 4*f - b = -0*b + 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 843*s + 151*s**4 + 84*s**4 + 2*s**2 - 845*s as a*s + q*s**3 + y + g*s**2 + j*s**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 24 = -4*g - 2, -169*b - 2*g = -175*b - 9 + 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 6*x + 65. Suppose 5*v - x - 7 = 0. Let w(m) = m**2 - m - 8. Let i be w(v). Solve -i*o + 5 = -15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 4*s - 2*s)*(-s - 5*s + 11 + 9*s).\nAnswer: 12*s**2 + 44*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -416.9 - -360. Let g = -56.5 - j. Let c be (-38)\/84 + 2\/7. What is the second biggest value in c, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.06917919 rounded to four dps?\nAnswer: 4.0692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1262*f + 7162 - 11975 - 19165 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2920 = -317*t + 25*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + i - 48. Suppose 8 - i = -4*b. Suppose 0 = 3*h - 2*h - 2, b*l - 50 = h. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {l: 5, e: 12, p: 2}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -196*b**3 - 5*b**2 + 5*b. Let z(s) = s**3 + s**2 - s. Give p(c) + 5*z(c).\nAnswer: -191*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 3*r**2 - 36*r + 124. What is o(3)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27711 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*o = 13, -4*q + 4*o - 11 = -q. Let n(t) = 2*t + 1. Let x be n(1). What is the units digit of (1*x)\/(6 + q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -1 (c) -23036\/3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnhnnnhhnhhnh. Give prob of sequence nhhh.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 9)*(-4)\/(-3). Let g = q + 30. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 85*u**3 - 2*u**2 + u. Let v be p(1). Let q = -7\/52 + -237\/26. What is the common denominator of q and 639\/v + (-2)\/8?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -6*y - 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*q + 8. Suppose -q*i = 2*i - 72. Suppose 3 = -3*l + i. Solve -3*m - 6 = -4*z + 5*z, 0 = -z + l*m + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/(((w\/(w\/(w\/(w*(w**2*w)\/w)*w)*w))\/w)\/w))**(-18)\/((w**(-6)\/(w**6\/w*w))\/(w**(-1\/3))**(-1)) assuming w is positive.\nAnswer: w**(-503\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 232. Let s(j) = -2*j + 36. Let x(u) = -c(u) + 6*s(u). Give x(6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 22 + 0 = 2*b, -20 = 5*w. Let u = 4 - 4. Suppose -5*v + v - 12 = u. Let z(q) = q. Let c(j) = -2*j. What is b*z(s) + v*c(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 18 = 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -87 + 54. Let j = -8 - v. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 11954?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 10:15 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {g: 4, f: 14}?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 48. What is the remainder when 7 is divided by 16\/6*33\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771059 is divided by 42834.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/8531?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 5*g + 5*g)*(124*g**2 + 1912*g - 1912*g).\nAnswer: -124*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -6\/7 (c) 1 (d) -3 (e) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 305*r + 490. Determine f(-3).\nAnswer: -425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1*3*(-135)\/(-81))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335*-73047.\nAnswer: 24470745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -560374*n**2*r + 4*n*r + n - 2*r - 1017 wrt n?\nAnswer: -1120748*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*l = -0*c, -2*c + 5 = l. Suppose o - 2*m + 5 = 3*m, 0 = -c*o - 5*m + 5. Solve 13*k + k - 42 = o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 18. Suppose -5*w - 5*m = -b, -5*w + 2*m = 6 + 3. Let k = w - -8. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 678*x + 674*x = 50, -44*i + 4*x = 32 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 0, -5 in descending order.\nAnswer: 0, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122.6533*0.04.\nAnswer: 4.906132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(42)\/(sqrt(6)*-3)*2)**2 + -3.\nAnswer: 85\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/6 + -3 - 2. Let f(u) be the first derivative of 2\/3*u**3 + 1 - 2\/5*u**5 + n*u**4 + 0*u - u**2. Factor f(g).\nAnswer: -2*g*(g - 1)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 + 19037*n - 19038 = 0. Calculate n.\nAnswer: -19038, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w + 12*z + 381 = 9*z, -5*z = -3*w - 65 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+0.0957636439\nAnswer: 0.3957636439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.9 in -0.3, 6, 9, 2\/9, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.029, 0.2 in descending order.\nAnswer: 0.2, 0.029, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**4\/12 - 7*r**3\/6 - r**2\/2 + 4*r. Let o be c(-3). Calculate the greatest common divisor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 124730462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*k - 5*a - 68 = 0, -3*k + 192 = -3*a. Let c be 9\/(k\/(-10))*-7. Solve 6*j - j + c = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*k**5 - 32704*k**4 + 168832*k**3 + 21224*k**2 - 168716*k + 11480 = 0. What is k?\nAnswer: -287, -1, 2\/29, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -339 - -13. Let q = h + 139. Let t = -93 - q. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 106. What are the prime factors of ((-2)\/(-6))\/o*459\/3?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 10*s**2 - 2597*s - 46095. Calculate h(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + 2.94. Let d be (1\/(-2))\/(0 - (-9)\/(-18)). Put 2, h, d in increasing order.\nAnswer: d, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115075406 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*s + 7. Suppose 14 = s*c - 88. Suppose c = 2*p - 52. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3593 and 0.1?\nAnswer: 3592.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 - 3*s**2 + s - 2. Is x(4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) 184 (c) -5630\/3 (d) 2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 2. Let i(r) be the first derivative of r**2\/2 - 16*r + 9. Let p(w) be the first derivative of i(w). Give -d(u) + 3*p(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58447 - -115440. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 7128744.\nAnswer: 7128744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 279*f**2*j**2 - 313*f**2*j*y + 3*f**2*j - 95*j**2*y + 21*j**2 wrt y?\nAnswer: -313*f**2*j - 95*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*d*g**3 - d*g - 16*d - 7*g**3 + 217 wrt g?\nAnswer: -78*d*g**2 - d - 21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-18)\/q)**(2\/117) assuming q is positive.\nAnswer: q**(-38\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.3? (a) 5 (b) -0.01 (c) 6 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1271050913 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.528168 + -0.014832. Let z = -0.967 + b. Round z to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5185 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**2 + 18*g**2 - 28*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -38*v - 5. Let o be z(2). Let c = o + 83. Solve c*p = -3*k + k - 8, -2*k - 8 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 - -32. What are the prime factors of k?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -689160 rounded to the nearest 10000?\nAnswer: -690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/12 - 5*i**4\/24 + 5*i**3 + 33*i**2. What is u in t(u) = 0?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -69?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*j**5 - 82*j**5 - 240*j**5)*(-1 + 5 + 16).\nAnswer: -8780*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631143447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.39441 nanograms?\nAnswer: 0.00000000039441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u - 12. Let k(y) be the third derivative of y**4\/6 - 2*y**3\/3 - 2*y**2 + 19. Calculate -3*g(w) + 8*k(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 14*v - 1. Calculate b(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 164252678 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 - a**5 + a**5 + (3*a**2 - 3*a**2 - 2*a**3)*(2*a**2 - 3*a + 3*a) + 4*a**4 - 4*a**4 - 4*a**5 + (4*a**3 - a**3 - a**3)*(a**2 + 2*a - 2*a).\nAnswer: -5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.138.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - 3*k)*(-33903 + 67082 - 33985).\nAnswer: 806*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.73 - 16.93. What is the nearest to a in 648, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-27)\/18)\/((-91)\/23270) + (-6)\/(-14) and 12.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -3*w + 112. Factor -4*q**3 + q + q**3 - w*q**2 - 4*q + 0*q**3.\nAnswer: -3*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 47416031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6)**(-27))**(-1\/48) assuming y is positive.\nAnswer: y**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9924.\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 6165*i + 9 = 6166*i, 4*i + 24 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by 9541.\nAnswer: 536\/9541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9 - (-344)\/12. Let v be -2 + 7\/(i\/24). Suppose 0 = 5*q + v*q - 828. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(2\/3*-2). Calculate the remainder when (0 + -1)*s\/((-9)\/203) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50a + 20?\nAnswer: 52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b - 3. Let d be n(2). What is the third derivative of 2*i**4 - d*i**4 + i**2 + 0*i**2 - 2*i**4 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - (-5)\/((-10)\/(-12)). Let j(q) = 48353*q**2 - 5*q - 5. Is j(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2751\/98 + -8 + (-91)\/1274. Suppose -4*d = -5*p + 40, 11 = -3*d - 4. Calculate the greatest common divisor of n and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 2*i**2 + 2*i**2)*(-7*i**3 - 7*i**3 + 12*i**3 + 8*i) - 25*i**5 - 9*i**5 - 6*i**5.\nAnswer: -42*i**5 + 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1300 is divided by 290.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.05, 2\/3, 0, -4, 34?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 347*k**2 - 24154*k + 24013. What is x(-250)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 50 + 20 = -5*r, r - c + 20 = 0. Let j be 14 + r - 3\/(-1). Solve 0*p + 0 - 2\/5*p**j = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-5))\/((-3)\/15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-10)\/(-6). Suppose -h*x + 12 = 2*l, 3*l = -3*x - l + 23. Suppose 0 = q - x - 22. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 21 = -0*n - 3*n, -57 = -4*u + 3*n. Let w = -13 + u. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b + 2*f - 64, -2 = b + 3*f. Let q = b - -71. Is 19 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(-3)\/27*-24. Solve 3*m = t + 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 1 - 1)*(5*y - y - y)*(-2 - 3 + y + 0) + (-1 - 1 + 4)*(28*y**3 - 47*y**3 - 52*y**3) in the form i + f*y**2 + x*y + p*y**3 and give f.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 10:28 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 446 + 383. Calculate the remainder when o is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111100 + 1111001001111?\nAnswer: 1111011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*c + 1506 = 4630 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 8 = 0, -9*g = -8*g + 2*h - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*p - 1 - 9, -3*p = -4*t - 1. Let y = -106 + 106. Let i = -361 - -2885\/8. Which is the biggest value? (a) p (b) y (c) -2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 29229*h + 936345. Give y(-32).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 567\/(-27) + 410\/18. Factor 4\/3*y**2 + b*y + 2\/3 - 2\/9*y**4 + 0*y**3.\nAnswer: -2*(y - 3)*(y + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348314.\nAnswer: 2, 174157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 10:57 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.36*-0.4\nAnswer: 1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1999648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 20\/(-8))*0. Suppose 5*i - 112 - 48 = u. Calculate the lowest common multiple of i and 22.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*-296\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 - 8*z\/3 + 2.\nAnswer: 2*(z - 3)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) 2\/25 (b) 4\/5 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by -1*26\/(-6)*3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118 - 110 + 89*v - 109 + 339 + 4013*v as u*v + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a0b8c (base 14) to base 3\nAnswer: 201122002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 13*n - 14. Let i be g(-10). Let z(q) = -q**3 + 8*q**2 + 2*q - 2. Let d be z(8). What is the highest common factor of i and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -w + 44. Suppose 4*g = -5*d + 103, 5*d - 2*g = -3*g + w. Suppose -x = -d + 2. What is the greatest common factor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:55 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/200 + (-3)\/(-15). Let g(k) be the first derivative of -k**3 + 1\/2*k**2 + 4 - l*k**4 - k. Give g(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.86 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7 - d**2 - 10*d + 5 + 2. What are the prime factors of v(-7)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 16\/5*r + 8\/5*r**2 - 7\/5*r**3 + 1\/5*r**4.\nAnswer: r*(r - 4)**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) 1949\/2020 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -80. Let u be (-3 - -1) + 2\/(y - -2). Is (70\/(-25))\/(((-2)\/(-40))\/u) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1577 and 46569?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1535062 rounded to 4 decimal places?\nAnswer: 0.1535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9225755 by 7.\nAnswer: -1317965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10 - 126\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36519.57 centuries in years?\nAnswer: 3651957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 4 - 8 - 3*x - 5 + 29.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**8\/1680 + y**4\/3 - 2*y**3\/3 - 13. Let m(o) be the third derivative of k(o). Find the first derivative of m(a) wrt a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/(-10)*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 22*u + 27*u - 48*u - 2*u. Let k(j) = -6*j + 1. Determine 3*k(b) - 6*z(b).\nAnswer: -12*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14*0.024035.\nAnswer: 0.0033649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(242)*-2*-6 + 3)**2 + (1*sqrt(16)*1)\/sqrt(512) + -5.\nAnswer: 10561*sqrt(2)\/8 + 34868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 756*d**4 + 25*d**3 - 6*d**2 + 1319*d wrt d?\nAnswer: 18144*d + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g - 2*g + 3 - 2*g + 5*g. Determine s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/6)*((y*y\/(((y*y**15*y)\/y)\/y))\/y)\/y*(y**(1\/9)\/y)\/(y*y**3))**(-30) assuming y is positive.\nAnswer: y**(1685\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 17*v**2 + 0*v - 55*v**3 - v - 11*v**2 + 3*v - 2. Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 6*f + 45 = 0. Solve -f = 2*l + l, 6 = 5*d + 3*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/75)\/((-3946)\/4143300)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uweueuue. Give prob of sequence wee.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 10081?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -306\/7 - -44. Let l be 92\/28 - (-4)\/(-14). Suppose 0 = -3*n - b + l*b + 10, b = -4*n - 5. Is q != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(448)*-6*-1 - ((sqrt(448) + 1)*-5 + -5*(sqrt(448) + -1)))**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4 - 176*b**3 + 2031*b**2 - 4846*b + 2992 = 0?\nAnswer: -187, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -59*r + 57*r + 12, 4*r + g = -r + 2*g + 34 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 7*h**5 + 9*h**5 + 20 + (-90*h - 89*h + 192*h)*(4*h**4 - 2 + 2).\nAnswer: 54*h**5 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - h**5 - 1 + (3*h**5 + 0 + 0)*(2 - 3 + 2) - 8*h**5 - 2*h**5 - 2*h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*t + 32, 64*t + 49 = 3*m + 54*t. Solve -15*v**m + 27 + 12*v**2 - 3*v**4 + 3\/2*v**5 + 99\/2*v = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -738\/7 + 105. Let q = 0.04 + 0.36. Let y = 1 + -0.9. Which is the nearest to 1? (a) i (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vev when three letters picked without replacement from vmeeeveeemee?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4296 is divided by 431?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -577599*h**2*z - 192770*h**2 with respect to z.\nAnswer: -577599*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*l - 9*l + 86426 + 23590. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 412 - 101 = 71 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906731 times 0.02?\nAnswer: 38134.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 195*r**2\/2 + 15605*r\/2 + 7705 = 0.\nAnswer: -3082\/39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -1750.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.035499 - 222.105499. Let o = p - -222. Which is the closest to o? (a) 0.3 (b) -0.2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1261 or -1268?\nAnswer: -1268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 5*t. Let o be f(5). Suppose 0 = 2*n + 8, o*n - 29 = -3*j + 5*n. Suppose 3*g - 8*g + 3*m = -252, 3*g + j*m - 156 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*b**2 - 19*b**2 + 12*b**2 + 1 as o*b + s + x*b**2 and give x.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 10*h**4 + 63*h + 2*h**5 + 299*h**3 - 10*h**4 - 229*h**3 - 100*h**2 = 0. What is h?\nAnswer: 0, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(189) + sqrt(189)*-3)\/sqrt(9))\/((-2*sqrt(33))\/sqrt(11)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 + 895 = 22*d - 465. Calculate the greatest common divisor of 545 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12235, -24472, -36709, -48946, -61183?\nAnswer: -73420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 + 4.05. Suppose d = 3*l - 90, 331 - 259 = 3*l + 2*d. Which is the second biggest value? (a) -1 (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n + 1. Let s(w) = -13*w - 60. Determine 6*m(b) - s(b).\nAnswer: -5*b + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12035, -24218, -36773, -49886, -63743?\nAnswer: -78530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5661, 5547, 5445, 5361, 5301?\nAnswer: 5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**2\/2 + 47. Let t(o) = -15*o. Determine p(t(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/476)\/(36\/84)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + -1 + 358 + -353.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*b + 2*u - 40, -26 = -4*b - 2*u. Suppose -2*v = -b*h - 36 - 10, -v + 3*h + 19 = 0. Suppose v = 4*w + 11. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 9:43 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -687*f - 647*f - 3385*f = -193479 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 38*h**6 + 18*h**2 - 8*h - 8. Let n(j) = -13*j**6 - 6*j**2 + 3*j + 3. Let f(i) = -3*d(i) - 8*n(i). Find the third derivative of f(w) wrt w.\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59274524 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.137.\nAnswer: -0.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10670, 10665, 10658, 10649?\nAnswer: 10638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-3))\/b*b)\/(b\/(b*b**11)))**45 assuming b is positive.\nAnswer: b**720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 18 - (-2 - -8)) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 5:43 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 886268 + 1371848 = 4*d, 5*d - 2*u = 2822607. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 26508 = -8592. Let t = 9965 - g. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 2264840*k - 2264844.\nAnswer: 4*(k - 1)*(k + 566211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(1573) + ((sqrt(1573) - (sqrt(1573) + 0))*4 - sqrt(1573)))**2.\nAnswer: 77077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-82) + 1 + (1 - 3). Let l = w + 77\/205. Which is the closest to 0? (a) l (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 213.543019 to the nearest integer.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -797 (c) -5\/4 (d) 3 (e) 1 (f) 5 (g) 1\/176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*q - 1002322 + 402*q + 1002322 to m*q + t and give m.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 124 + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 15 = 7*u. Factor 4*z**3 + u*z**4 - 3*z**5 - 3*z**3 + 6*z - 15*z**2 + 8*z**3.\nAnswer: -3*z*(z - 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2115 = 5*s + 5*j, -3*s - 10*j = -5*j - 1277. Solve g - s = -420 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -100, -773, -2570, -6043, -11744?\n\"Answer: -92*h**3 - 10*h**2 + h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 17*f**2 - 18*f + 3. Let y be p(18). Factor l**2 - 2*l**2 - 3*l**3 - 5*l**2 - y*l.\nAnswer: -3*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 80*w**2 - 9*w - 9*w + 78*w**2.\nAnswer: -2*w**2 - 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x**3 + 0*x + 0*x**2 - 2\/45*x**5 + 0*x**4 + 4 - 1\/27*x**6. Find k such that n(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 159*y**2 - 12*y + 1. Let d(h) = 160*h**2 - 16*h + 2. Calculate -3*d(j) + 4*k(j).\nAnswer: 156*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -0.5 (b) -2 (c) -5812 (d) -1364\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -375 - -377. Suppose c*z = 7*z - 2240. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 11*p + 15*p.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-33)\/90*9*32\/72?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/(-4))\/((-2)\/(-4)). Let k = g + 13. Let h = -8 - k. Which is the second biggest value? (a) 3 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3107618*t**2 + 5439684.\nAnswer: -6215236*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12876 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1584) - (sqrt(1584) + -1)*-6) + 5.\nAnswer: -3 + 84*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 2*sqrt(17) + -3 + 1)**2 + (-1*sqrt(85))\/sqrt(5) + 1 - (sqrt(34)\/sqrt(2) + -1 + sqrt(68)*-3)**2*2.\nAnswer: -694 - 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16627 + 16631. Solve 5*k - 21 = -o*l, -3*l - 19 = -3*k - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*j + 220, 4*j + 165 = 7*j - 2*i. Let b = j - 99. Is -45 != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -1\/5*l**3 + 1\/5*l**2 - 1\/5*l**4 + 0 + 1\/5*l**5 + 0*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h**2 + 3 + 0 - 1)*(-2321 - 178*h + 2321) as z*h + q + d*h**3 + o*h**2 and give z.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1018604*j**6 - 139251*j**2 wrt j?\nAnswer: -122232480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4014.1 - -4242. Let u = 228 - w. Does -16 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 0*c**5 + 0*c + 0*c**2 + 11\/3*c**3 + 3\/2*c**6 + 0*c**4 + 16. What is the third derivative of z(h) wrt h?\nAnswer: 540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 5:20 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.5276984 to zero dps.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 22132?\nAnswer: 22131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, g: 6, j: 7}. Give prob of picking 4 j.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 336*o**2 + 12*o - 4. Let j(r) = r**2 - 6*r + 2. Let m(y) = -2*f(y) - 4*j(y). Let g(a) = -a**2. Determine g(m(i)).\nAnswer: -456976*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.2113 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-109)\/10 + 68\/136. Suppose -38*l + 40*l + 20 = 0. Is l > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - 4 - 1*-25. Let b = -26 + q. Suppose 3*s - 5*v - 9 = 31, -15 = s + 4*v. Solve -s*n - 5 = 3*m, n + 2 = -b*m + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*f = -1913, 0 = g - 0*f + 2*f - 635. Let d(q) = q**2 - 25*q - 12. Let l be d(13). Let h = g + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -19*i - 109. Let b be t(-6). Let n(k) be the first derivative of 0*k**2 - 1\/3*k**3 + 3*k - b. Give n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 12*a - i + 21 + 16 = 53, 2*a + 76*i - 88 = 76 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3850 and 7 - (2\/4 + (1280480\/(-49500))\/(-4)).\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (0 - (35 - 12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 25*s**2 - 27*s - 55. Let y be l(-26). Is y >= -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5e25 (base 16) to base 11\nAnswer: 17120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-2) + 2*-1)\/2. Solve 2\/9*v**2 - 2\/9 + d*v = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -174330*f. Let u(p) = 56*p. What is h(u(o))?\nAnswer: -9762480*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**6)\/(i**3*i)*i\/((i*i**0\/i)\/i)*i*i**(-5))\/((i**(-2\/3))**(-5))**(1\/12) assuming i is positive.\nAnswer: i**(-203\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-63) - 277\/(-9). Let s = v + -25. What is the smallest common multiple of 8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 2*r**2 + 345 - 4*r**2 - 3*r**2.\nAnswer: -4*r**2 + 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((1 - 1) + 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 320, 339, 346, 335, 300, 235, 134?\n\"Answer: -h**3 + 26*h + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5 = 3*i - 27, -6 = -5*i - s. Let p be (-2)\/(1 - i) + -2. Let o = -2 + 9. Solve -4*n + o + 1 = p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-1))\/(5\/5). Suppose -7 = -3*s + w. Solve -2*h - 5 = -s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from jbjpjjpjbbjwjjpwjjbp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/387? (a) -2\/15 (b) -0.4 (c) -5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11022 (base 4) to base 3.\nAnswer: -110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*q**2 + 4 + 152*q**2 - 49 - 25.\nAnswer: -23*q**2 - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*p = 6 + 2, 2*z = 2*p + 12. Suppose z*t - 16371 = -6655. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and 0.16.\nAnswer: 6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -896.8228 - 136.8802. Let r = d + 1033. Let s = r - -0.7. Round s to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7146646239.99999949 + 7146646157. Let n = -1.75 + 84.75. Let k = g + n. Round k to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9*p - 444 = 0. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28229260 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 576817107 = 39*z + 169729107. What is z rounded to the nearest 100000?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001406764 rounded to seven decimal places?\nAnswer: 0.0001407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*92\/24*-3. Suppose -q*y + 22*y + 5 = 2*c, -2*c - 39 = -3*y. Let h(n) = 6*n + 7. Let d be h(8). What is the greatest common factor of d and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**3)\/((n**(6\/5)*n*n*n)\/n))\/(n**(2\/7)\/n**(-6)) assuming n is positive.\nAnswer: n**(-402\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 9.9. Let t = -5 + w. Which is the second biggest value? (a) 0 (b) t (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 19 = 95. Let p(l) = 19 - y + l. Let x(v) = -v. Give p(x(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q - 5. Let u(a) = -a**3 + 6*a**2 + 4*a + 16. Let z be u(7). Let d(m) = -3*m + 6. Let x(i) = z*d(i) - 6*b(i). Let w(o) = -4*o**2. Calculate x(w(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 less than -126?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 10 - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5970, 5960, 5950, 5940, 5930, 5920?\nAnswer: 5910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11494 - 8123. Let m = d + -2102. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-11)*(-704550)\/(-3660)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 166. Let o be c(56). What is the smallest value in 3\/10, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/54370903?\nAnswer: -3\/54370903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-12)\/8)*-4. Let n be ((-4)\/u)\/((-8)\/12). Suppose 4*o = -o + 100. Solve -2*p + o = 2*p - 4*s, 0 = s + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3 - 9. Suppose 0 = -z + 4*z + 5*r, w*z - 5*r = 0. Let d = -7 + 6.9. Which is the closest to 0.3? (a) -5 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1069 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 139638493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 AM and 7:20 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -35*x + 16. Let u(p) = p - 3. What is -2*m(w) - 10*u(w)?\nAnswer: 60*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12)*2 - 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17328 minus -69179?\nAnswer: 86507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 3. Let a be h(-3). Suppose -51*g + 1271 = -310. Suppose 0 = -g*q + 29*q + 4*k - 12, -4*k = -16. Solve a = q*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 3*s - s)*(4 - 6 + 6 - 2 + 2 + 1 + (-1 + 4 - 2)*(-2 - 2 + 3)).\nAnswer: 28*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 522519 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.9 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3981287703491 - -0.7.\nAnswer: 3981287703491.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 25 = 0, -25*o - 5*j = -26*o + 427. Suppose 5*k - k - 40 = -2*i, 4*k + 14 = i. Calculate the lowest common multiple of i and o.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -252516?\nAnswer: 252515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039164 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 610672*l**3*s**6 + 23*l**3*s - 2*l*s + 75*l + s**6 + 2*s**2 + 141*s wrt s?\nAnswer: 73280640*l**3*s**3 + 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24390932 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + u**2 - 2*u + 3. Let b be -3 + 8\/(-9)*27\/(-6). Determine s(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22780)\/(-17) - 1\/((-3)\/(-15))?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2617131, 2617133, 2617135, 2617137?\n\"Answer: 2*s + 2617129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -39 + 0*m**2 + 0*m + 2\/3*m**3. Let x(s) be the third derivative of -3*s**5\/5 + 2*s**2. Determine h(x(t)).\nAnswer: 2592*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54 - 3\/((-12)\/(-20)). Calculate the greatest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3065486 divided by 4.\nAnswer: -1532743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82903827 to the power of 1\/3, to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let f(t) = 13*t**2 - 129*t - 6. Let g(r) = 2*r**2 - 2*r - 1. Let u(d) = f(d) - 4*g(d). Give u(o(s)).\nAnswer: 5*s**2 + 121*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*127 - 3\/9. Let f = 665\/6 - g. Calculate the common denominator of -45\/22 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78.5 + -473.5. Let g = 386 + o. Let u be (-1 - 0)\/(-3 - -2). Is g < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 - -215. Let w = 0.7 - 0.5. Put w, -3, t in decreasing order.\nAnswer: t, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:23 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7, 1.68, -0.4, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 30*a + 26. Let c(l) = 18*l - 1101. Let x be c(61). Calculate j(x).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1981, -1998, -2027, -2074, -2145, -2246, -2383, -2562?\n\"Answer: -g**3 - 10*g - 1970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 12:38 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1106.978 millilitres?\nAnswer: 1.106978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 30*b**2 - 8. Let q(p) = 10*p**2 - 3. Determine 8*q(s) - 3*y(s).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -75\/11 (b) 29.7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 36, 0.3, -42, 2\/25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**3 + 72*n**2 - 372*n - 5. Determine g(10).\nAnswer: -2525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 259922 - 259922.00000115517. What is d rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 15651860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.04 (c) -2 (d) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b**3 + 10*b**3 - 52*b**2 - 30*b**2.\nAnswer: -b**3 - 82*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 12960 = 49*s. Let i = 623 + s. What are the prime factors of i?\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0*f**5 + 0 - 6*f**2 - 1\/120*f**6 + 0*f**3 + 0*f + 5\/24*f**4. Find the second derivative of g(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 40993*j**3 + 5*j**2 - 40987*j**3 - 131*j + 1 - j**4 + 81983*j**3 in the form u + g*j + a*j**3 + o*j**4 + q*j**2 and give g.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*f - 10 - 28, 4*f = -5*b + 16. Is 3 a factor of ((-45)\/(-25))\/(f\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 22*y**2 + y - 29. Determine q(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*i - 32, 0*i - i = 3*r + 19. Let y be ((45\/6)\/5)\/(225\/20). Let l = -2.3 - -2. What is the third biggest value in l, i, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8. Let t(w) = -w - 2*w + 2668 - 1334 + 2*w - 1338. What is t(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11\/(-5) + 3)\/((-2)\/(-10)). Suppose -x*q = 2*q - 48. Suppose -q*j + 137 = -15. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7967 = -230*b - 2542 - 2710 - 1041 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 4*z**3 + (3*z**2 - 3*z**2 - 2*z**3)*(5 + 1 - 5).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p - 7. Let l be y(16). Let s = 363 + l. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343350438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -i + 2*i. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 403719547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1448253.19 to the nearest 1000.\nAnswer: 1448000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -2. Let j be (1 + y - 0)\/8. Suppose -5*m + 2 + 13 = -z, 2*z - m + 3 = 0. Which is smaller: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000577339 to 6 dps.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256053 * -4.\nAnswer: 1024212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 12*k - 5. Let n(m) = -4*m**2 + 60*m + 28. Determine 11*g(s) + 2*n(s).\nAnswer: 3*s**2 - 12*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 472898 = -83702. What is l rounded to the nearest 1000?\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2478 and 441.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**4 + 12*j**3 + 8*j**2 - 4. Let c(y) be the first derivative of y**6\/6 + y**4\/4 + y**2\/2 - 5. Let x(m) = 4*c(m) - q(m). Factor x(t).\nAnswer: 4*(t - 1)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11386055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, -6496, 4, 4490, -2 in decreasing order.\nAnswer: 4490, 5, 4, 1, -2, -3, -6496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241 - -250. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 22*h - 892. Let i be g(42). What is the greatest common factor of 28256 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (5 + -5 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*(sqrt(21)\/sqrt(3))**2 - (4 + sqrt(252) + 0)**2.\nAnswer: -478 - 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (247 - 80 - 93).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f**(1\/4)\/f)\/f)\/f)\/f*f\/f**(-6))\/(f**(5\/3)\/f**(3\/4))*(f\/(f\/(f**0\/f)*f))**(-23)*(((f*f**(1\/4))\/f)\/f)\/f*f**(-1\/6) assuming f is positive.\nAnswer: f**(569\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1416.9 - -1417. What is the biggest value in k, -0.3, -3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0, 0.16, 4, -1621, 1\/21.\nAnswer: -1621, -0.3, 0, 1\/21, 0.16, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 3 - (4 - (-2 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**4 - 42 + 42 + (3 - 3 + s**2 + (-1 - 2*s + 1)*(0*s + 0*s + 2*s) + s**2 + s - s + 2*s - 3*s**2 - 2*s)*(-s + s**2 + s).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 6:43 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 - 31*n + 23. Let a(v) = -3*v**2 + 21*v - 15. Let c(d) = 7*a(d) + 5*r(d). What is the lowest common multiple of 1 and c(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 5 - (-11 + 20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggngeddnxnncxeggdeg. What is prob of picking 1 g and 1 x?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065180?\nAnswer: 2, 3, 5, 41, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-10))\/((-6)\/(-15)). Let i be (2 - -1) + -2 + d. Suppose -4*f + 46 = 5*l - 76, l = i*f - 101. What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -272725 = -2727261\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2.03 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.979297 milligrams in grams?\nAnswer: 0.008979297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 20. Suppose 9*s + 137 + 12 = 14. Determine b(s).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2813*u - 5633*u + 2820*u - 2*u**2 + 0*u**2 + 141 as z + w*u + a*u**2 and give z.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-11))\/(66\/11 + -5). Which is the second smallest value? (a) u (b) -5.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 (base 8) in base 13?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, -2, 0, -0.1, 5, -2\/13 in descending order.\nAnswer: 5, 0, -1\/14, -0.1, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 129. Which is the closest to 0.1? (a) 5 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c**3 + 6*c**2 - 3*c + 24. Let r(d) = -17*d**3 + 9*d**2 - 5*d + 36. Let g(f) = 8*a(f) - 5*r(f). Is g(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14744108 is divided by 4099?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 442 + 5*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -29038222 bigger than -29038222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 327*o**2.\nAnswer: -o**2*(o + 327)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 30 + (5 - 22).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -5*x**3\/3 - 2*x**2 - 2*x - 35. Let o(u) = 4*u**2 + 3*u + 2. What is 4*o(j) + 3*v(j)?\nAnswer: j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-75126)\/10544 + 21*(2\/6 - 0)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 18.96.\nAnswer: -1.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 2*s - 3. Let f be p(1). Solve f*y = -2*y - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 233 and 241215114.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -613.9 - -613.1318. Let q = 24.2548 - s. Let r = 25 - q. Round r to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -396*h**3*k**2 + h**3*k - 69*h**2*s - 119*h*k**2*s - 51*k**2 + 117907*k wrt k?\nAnswer: -792*h**3 - 238*h*s - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u**3 + 110616*u - 110619*u - 3*u**2 - 8 - u**3)*(16*u + 3*u - u)*(3 - 2 - 3) in the form c*u**2 + p*u**4 + a*u**3 + r + o*u and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.25 * -0.0659.\nAnswer: -0.016475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*f + 167*f - 331*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1.4, 3, 2.\nAnswer: 0, 1.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 25 + 11)*(-4*t**2 + 4*t**2 + 2*t**2) in the form l + o*t + c*t**2 and give c.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 498633 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.2 (b) -1 (c) 4 (d) -128356 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 3*w + 3*n, -2*w + 182 = 3*w + n. What is the common denominator of 30\/11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2201*o**2 - 296*o**2 + 1979*o**2 + 5069 + 1142*o**2 - 1081*o**2 wrt o.\nAnswer: 7890*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29\/6 - -10\/3. Let p = -6 - -3.4. Let y = 2.9 + p. Which is the nearest to 1\/5? (a) y (b) 7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*s + 8113 = -68*s. Let q(w) = -w - 1159 + s. Let g(a) be the first derivative of -a**2 - 1. Calculate q(g(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeenuwneweeneunewe. Give prob of picking 1 u and 1 e.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/9 + 0 + (-100)\/36. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 9*x**2 + 10*x + 2. Let j be k(8). Suppose -l - j = 2*l. What is the units digit of 9 - (-4)\/l*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(7\/5)*i*i**(-4)*i)\/((i*i**(-2)\/i)\/i**4))**24 assuming i is positive.\nAnswer: i**(648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - -19a2?\nAnswer: 1991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3120 (base 6) to base 14.\nAnswer: 37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 41920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.7 (b) 0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -116 - (89 + -68 - 77)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 784*f - 4883 = -789*f, 19548 = 4*u + 4*f. What is the thousands digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -20. Let g = 19.8 + -15.8. What is the second smallest value in 3\/5, g, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000875 rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5 + (-30)\/(-20)*2904\/9 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 2*s**4 - 3*s**4)*(-5 + 6 + 3)*(-18 + 7 + 4).\nAnswer: 56*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/sqrt(125))\/(1*sqrt(700)) + ((sqrt(120) - sqrt(120)*-2)\/sqrt(10))\/(-1*sqrt(150)))**2.\nAnswer: 841\/1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/(-10)*385\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2 + 2)*(0 + 0 + y**2) - 2*y + 2*y + 2*y**3 + 0*y**3 + 3 - 4 + y**3.\nAnswer: 6*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/9))**(2\/23)*(b**(-2\/5)*b)**(-42))\/((b**(-3))**(-5\/6))**(-10) assuming b is positive.\nAnswer: b**(-97\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*s + 8. Factor -4*x**4 - s + 4 + 2*x**4.\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.1, 0.11, 4, -51\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.9*-0.8\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -234 + 1ac?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*q - 215 = 0, -d + 0*d - 2*q = 47. Let p = d - -56. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3627*x - 3576*x - 268617 = 0. What is the thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14307757?\nAnswer: 14307757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 65, -4490.2, 1.\nAnswer: -4490.2, -11, 1, 3, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -8*m + 4. Suppose 4*c - 144 = -m*i - i, 0 = -2*i. Does 30 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-69)\/(1953\/(-963) + 2) a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33215.\nAnswer: 5, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32050 (base 6) in base 2?\nAnswer: 1000011111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 1\/15*f**5 + 0*f**3 + 1\/336*f**8 + 11\/315*f**7 + 0*f + 47\/360*f**6 - 1\/2*f**4 + 6 + 2*f**2. Determine z so that x(z) = 0.\nAnswer: -3, -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 3, -98 in descending order.\nAnswer: 3, 1\/5, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 26 = 6*d. List the prime factors of (d\/5)\/((-8)\/(-580)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1055295.1 + 1055267.0999991. Let z = 28 + d. Round z to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1822*z**5 - z**4 + 2845*z**3 + 3*z**2 + 2273*z - 470 wrt z.\nAnswer: -109320*z**2 - 24*z + 17070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.635659 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(325) + (sqrt(13) + sqrt(13) + -1 + -1)**2 + -1.\nAnswer: -3*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - 13) + 4 + 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 + 2*n - 2. Give a(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**2 + v - v + v**2 - 4*v**2 + 0*v**2 + (-v**2 - 1 + 1)*(0 + 2 - 1) as a*v**2 + y*v + g and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-38)\/684*((-148)\/(-11) - (-17 + 17)) and 21\/3608.\nAnswer: 32472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3906 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: -12 + 110 + -50 + -28\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/3 + 2 + -2. Suppose -h + 35 = y*h. Suppose 0 = 3*g - 6*g. Solve g = 2*p - h*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7998 and 774.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - q + 8. Let h be g(2). What is the third derivative of 14*f**2 + 190*f**5 - 194*f**5 - 43*f**h wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1140160 + 1140160 + 710*u.\nAnswer: 710*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -157*o**3 + 98*o**3 + 2 - 2 + 2*o + 4*o**2 - 1 as h*o**3 + l*o**2 + v + m*o and give h.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 4:52 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/1*(-2125)\/340*(-2)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1992)\/(-5312))\/(63\/816).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 1\/2*f**2 - 4 + 0*f - 1\/3*f**3. Solve v(y) = 0 for y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*m, -4*m + 880 = -2*x - 274. Let l = x + 585. Which is the closest to 1? (a) -1 (b) -2 (c) l (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108094 (base 10) to base 12\nAnswer: -5267a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11279714, -22559434, -33839164, -45118910, -56398678, -67678474, -78958304?\nAnswer: -90238174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 15. Suppose -i*z - 5 - 1 = 0. Calculate the remainder when (-1)\/z + (-400)\/(-15) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**5\/5 - 2*j**4 + 2*j**3 + 20*j**2 + 25*j + 22. Find c, given that l(c) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-2\/11)\/f)*f*f\/((f\/f**2*f)\/f)*(f**(-2\/35))**10)**(-43) assuming f is positive.\nAnswer: f**(-15265\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 7) to base 8\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**19\/t**(-6))\/((t*((t*t**13)\/t*t*t)\/t)\/((t*t*t*t**(1\/27))\/t)) assuming t is positive.\nAnswer: t**(325\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**3 + 10*b**3 + 7*b**3 - 5*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j - 7. What is the units digit of q(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/2 - -4)*19\/171*27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5406)\/13 - (-70)\/(-455). What is y rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:17 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15152709 and 27.\nAnswer: 136374381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*b**3 - 98*b**3 - 1 + 1 + 210*b**3.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/840 - c**6\/60 - c**5\/20 + 3*c**4\/8 - c**3 + c**2\/2 + 63*c. Let b(z) be the second derivative of p(z). Determine b(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14714 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, l: 4, o: 2, t: 1, w: 2}. What is prob of sequence otl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3 + 12 = 0. Let u be -11*2\/(-7) - a. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c0 - -4?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/((-90)\/((-490)\/49))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/4 + 13\/4. Suppose 2 = -13*v - 20 + 74. Let u = 11 + -21. Put j, u, v in increasing order.\nAnswer: u, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20*-3*2\/6. Let o = k + 27. Suppose -2*c = -3*f + 3*c + o, -c + 5 = f. Solve 2*g - 7 = 3*l, -f*l = -g + 2 - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356914 is divided by 2151?\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*s, 0*g = -5*g - 2*s + 109. Suppose i + 5*h = g, 2*i + 2*h - 38 + 8 = 0. Calculate the remainder when (-2)\/8 + (-747)\/(-12) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(20)*1)\/sqrt(10).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n - 42*n + 312. Which is the second biggest value? (a) -0.014 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.02 - 0.22. What is the nearest to s in -4, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -675427 + 808486054\/1197. What is the common denominator of c and 121\/1026?\nAnswer: 7182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-6))\/((-88)\/66). What is the closest to 0.06 in -2, 5\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6766179175 - 3?\nAnswer: -6766179178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147857 and 6169.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3377 + 3365 = -b + 2*s, -s + 24 = 2*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5c95 (base 16) to base 14.\nAnswer: -88cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let u be n + (-1 - 2) + 36. Let b be (-2)\/(-7) + 4\/u. Put -2, -5, b in increasing order.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 - 5*s - 7. Let d be f(3). Let k be 2\/(-5)*(-14 - d). What is the second derivative of 7*t + 1 + 4*t**k - 1 - 13*t wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.77 - 3.127. Let u = d - -0.113. Let w = u - -0.244101. What is w rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-1 + sqrt(363))) + 1*sqrt(108).\nAnswer: -4*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxp when three letters picked without replacement from {x: 2, p: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21101021 (base 3) to base 12\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1 + 2*j**2 - 1. Let x(v) = v**2 + 12*v + 2. Let m be x(-12). Let c(u) = u**m + u**2 + 0*u**2. Give c(g(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen quarters of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/35 + 128\/7. Suppose 3*p = 15, f - d = -5*p + 9. Solve -c - 3*o + 3 = -f*c, 0 = 4*c - 4*o + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15365 is divided by 64?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -127 - -6?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 + 312.39. Let o = r + -2.4. Let v = 1.00999899 + o. Round v to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from cacariaiiiicarc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 71 = 129*p - 20. Which is the second smallest value? (a) -0.5 (b) -0.4 (c) p (d) -2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6465207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 2*f - 5. Let h(c) = -c**2 + 5*c. Let m = -5 - -9. Let a be h(m). Let i be r(a). Solve -4*d - i*b + 18 = -2*b, -4*d = 2*b - 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*g*g**(-3\/4) assuming g is positive.\nAnswer: g**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - 2.01. Let g = 0.06 - 0. Let f = -0.06 + g. Which is the closest to f? (a) -1\/4 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3312 and 52625104?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 164?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 34. Find t, given that 9*t**3 - 28*t**4 + t**5 + p*t + 12*t**2 - 7*t**5 - 21*t**3 - 6*t**5 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5)\/30 - (-657)\/54?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*s - 5, 27 = 2*h + 5*s. Let r = -293 + 7327\/25. Does h = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**25\/k)\/k)**(-3\/7)*(k*k**(3\/17))\/k*k*k**9 assuming k is positive.\nAnswer: k**(38\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/17, -3\/7, 179, 4 in ascending order.\nAnswer: -3\/7, 2\/17, 3, 4, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 70776585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 11 - (-1 + 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 2:15 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2592 = -11*d. What is the remainder when d is divided by 163?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -362*t - 2 - 98*t + 2 + 17*t to the form d + w*t and give w.\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26306*o**2 - 11835*o.\nAnswer: -52612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**22))\/s**(-1\/12)*(s**(15\/4))**(-8\/13) assuming s is positive.\nAnswer: s**(-3779\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 223\/57344 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 6) to base 3\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2178))**2*-1 + (5*(-3 + (sqrt(72) - sqrt(72)*2 - sqrt(72) - sqrt(72) - sqrt(72))))**2.\nAnswer: 3402*sqrt(2) + 26838","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44412*v**4 + 2*v**3 + 15*v**2 + 31266*v.\nAnswer: -1065888*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2)\/(0 - -2). Suppose i = -5*x + 9 + 1. Is x <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 35*z + 5 = -28 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36053.52 litres?\nAnswer: 36053520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -11.58037\nAnswer: -104.22333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w + 1363 - 6763. Suppose 0 = 2*p + 10, u = 4*p + 1063 + w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*k + 10 = 0, i - 3*k = -i. Let q = 6 + i. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300672.\nAnswer: 2, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.90315 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwkkwwwwkkwkwkkww. Give prob of sequence wkww.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 38994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 421121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -43*q + 168. Let h be i(4). What is the second smallest value in -0.16, -3, 0, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.189.\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 9 = 3. Suppose q*u = 3*n - 176, -6*n + 10*n - 2*u - 228 = 0. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 108*c**2 + 482*c - 482*c as l + i*c**2 + p*c and give i.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -1\/10*c**5 - 4*c**2 + 0*c**3 + 0*c**4 + 0*c**7 + 0*c**6 - 1\/168*c**8 + 0 + 0*c. Find the third derivative of k(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 6. Suppose x + 5*t = -2*x + 17, -4*t = u*x - 12. Suppose -3*f - 4*l + 83 = 0, 5*f = -x*l - 0*l + 133. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1695 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + m = -187, 2*m - m + 3 = 0. Let t = i + -34. What are the prime factors of (-9)\/t + (-1141)\/(-28)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -65\/2. Put i, 4, 0.3 in decreasing order.\nAnswer: 4, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**5\/2 - 4*u**4 - 11*u**3 - 12*u**2 - 9*u\/2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5 - 172*j**4 + 436*j**3 + 1772*j**2 - 440*j - 1600 = 0.\nAnswer: -2, -1, 1, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, u: 1, r: 1}. What is prob of picking 1 u and 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 297, 449, 615, 801, 1013?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1, 6\/17, -21?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44559113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 62*y - 129. Calculate a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1893\/552115 or 0.1?\nAnswer: -1893\/552115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 28462680.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 24*p - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1511636*i*q**3 - 3*i*q**2 - 34*q**2 + 142*q - 1 wrt q?\nAnswer: -9069816*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1573) - (1 + sqrt(1573)) - sqrt(1573)))**2.\nAnswer: 352*sqrt(13) + 25184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 2 (b) 0.25 (c) -5 (d) -0.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 496568035 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-54)\/(-12))\/3*8\/6. Suppose -322 = -c + 123. Suppose -g*v + c = 5*n, 0 = -5*n - 9 - 16. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1814137 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4*m**2 + 8 + m**3)*(-m**2 - 2*m**2 + 2*m**2).\nAnswer: -m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-5)*11\/(-44)*(-120)\/18. Solve 0 = 4*d + z + 3*z + 20, -5*z = d + m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {h: 1, u: 1, k: 1, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(-26)*k))\/k)\/k)**(-7)\/(k**(-22)\/k**16) assuming k is positive.\nAnswer: k**(-130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-3)\/(-9))\/(27\/(-81)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1797*n + 1560*n + 3081. Calculate the remainder when 99 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117 + -144.4. Let h = v + 30.3. Are h and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*j + j. Suppose -5*f + 3 = -j*f. Let y(x) = 3 - x + 5*x - f*x. Calculate y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.229687 * 1.\nAnswer: 1.229687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjnjjnqqn. What is prob of picking 2 j and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8245 and 261415?\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -213, -475, -851, -1347, -1969?\nAnswer: -2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1182*f - 11664*f - 70621 + 243969 = -276262 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -168aa (base 13) to base 7.\nAnswer: -240023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 4, 19.\nAnswer: 4, 19, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 2*a - 78901 = -19*x, 0 = a + 2. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 19*u**2 - 4*u - 4. Let f(k) = 9*k**2 - 2 - k - 7*k + 6*k. Suppose o - 43 = 4*j, 171*j + 5*o = 176*j + 80. What is j*f(z) + 4*v(z)?\nAnswer: -5*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*y + 2 + 62*y - 852*y**2.\nAnswer: -852*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - 24?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7818*w + 7818*w + 35*w**4 + (-w**2 + 0*w**2 + 2*w**2)*(3*w**2 + 0*w**2 - 2*w**2).\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 - 3*j. Suppose -3*x = -3*k - 18, -3*k = x + x + 3. Let y = 207 - 199. Suppose y*u - 13 = x. Determine a(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10. Suppose l*r = -3*r + 3. Let h(n) = -5*n**2 + 6*n - 6. Let i(w) = -w**2 + w - 1. Calculate r*h(k) - 6*i(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/3)\/((-8)\/24)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyxgxgexyewd. What is prob of sequence exed?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 1)\/((-65)\/208*38 + 12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -114*a**3 + 5*a**2 + 2*a + 264. Let x(q) = 113*q**3 - 5*q**2 - 2*q - 331. What is 5*l(h) + 4*x(h)?\nAnswer: -118*h**3 + 5*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vmf when three letters picked without replacement from tnvvqnqmf.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*i - 85 = 0, 0*m + 3*i - 1 = -m. What is the common denominator of -12 and 660\/m - (-10)\/70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - b + 48, -5*o + 0*b - b = 52. Let h be (o\/(-3))\/((-2)\/(-3)). Let k(s) = s**2 + 2. What is the units digit of k(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-3)*(-12)\/(-1). Suppose -b - 2*b - 31 = -2*a, -b - 21 = -2*a. What is the second derivative of -3*u**5 - 3*u - a + c wrt u?\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 1. Let o(m) be the third derivative of -m**4\/12 - 5*m**3\/6 + 5*m**2. Let h(l) = -7*l - 20. Let r(i) = -2*h(i) + 9*o(i). Give 3*g(v) + r(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y**3 + 3*y**2 + 7*y + 19. Let b(m) = 3*m**3 - 2*m**2 - 5*m - 13. Let j = 38 - 33. Let z(k) = j*a(k) + 7*b(k). Calculate z(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 669, 659, 649, 639, 629?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.12, 4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 500 - 5*n + 2*n - 552.\nAnswer: -3*n - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + u - 8*u - u + 2 - 2 + (-u + 0*u + 0*u)*(-2 + 1 + 0) - 3*u + 3*u + 2*u)*(-103 - 89 - 234) to l + x*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 816, 1883, 2950, 4017?\n\"Answer: 1067*l - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99081298 is divided by 24770314.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(4))\/sqrt(3)*4 + sqrt(7) + (sqrt(168)\/sqrt(4))\/sqrt(6) + -5 - 5*sqrt(21)\/(sqrt(15)\/sqrt(5))*2*-2.\nAnswer: -5 + 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 9 + 11 + 13*h + (-h + 4*h + 2*h)*(-1 + 6 - 3) + 5 - 5 - h.\nAnswer: 22*h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.57 (b) 4\/7 (c) -0.018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.8 and 352772608517.\nAnswer: 352772608510.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41, -1, 4 in descending order.\nAnswer: 4, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**4 - 399904*b**3 - 19992000704*b**2 - 159916810752*b - 319820825088 = 0.\nAnswer: -99972, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000300127367 to 7 decimal places.\nAnswer: -0.0003001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 1 + (0 + 2 - 1)*(1 - 1 + 3) + 6 + 12 - 8 + 1 + 2 - 2 + (-4 - 2 + 5)*(-1 + 0 + 2))*(-3*y + 5 - 5).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73569, -73568, -73567, -73566, -73565, -73564?\n\"Answer: n - 73570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705770, 705769, 705768, 705767, 705766?\nAnswer: 705765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 4806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/12 + q**3\/2 - 7*q**2\/2 - 5134*q. What is n(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 16*w**2 + 3*w - 421. Let s be u(14). Solve -7*r - s*r + 60 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 2*w + 5*w**2)*(-1 + 4189*w + 3 + 106*w) to the form q*w**2 + z + h*w + n*w**3 and give n.\nAnswer: 21475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 998016, 998017, 998024, 998037, 998056, 998081, 998112?\nAnswer: 998149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*(((t\/((t*t**(3\/26)\/t)\/t))\/t)\/t*t)\/t*t)*t*t)**(-10\/3)\/(t**(-1\/18)\/(t*t**(-24))) assuming t is positive.\nAnswer: t**(-6239\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15220*-1.\nAnswer: -15220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -1585.54?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 41316223 * -12\nAnswer: -495794676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1 (c) -3\/74 (d) 1\/3 (e) 1\/5 (f) -630 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98922307*c*w**3 - 1537707*c*w**2 + c*w - c wrt w.\nAnswer: -593533842*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1035876\nAnswer: 1035872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = -4*o + 6841, 3*c + o - 4106 = 0. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 923670.\nAnswer: 2, 3, 5, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*m - 3611 - 5230 - 5220 = 1779 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 12*n**2 - 3 - 3.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5122041, 10244045, 15366049, 20488053?\n\"Answer: 5122004*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q = -67*q + 164 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*v + 27, 0*v + 5*v + 21 = 2*a. Let -32*n**2 + 10*n**a + 295 - 223 - 14*n**3 + 44*n = 0. What is n?\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 2.21.\nAnswer: 1.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4966810.\nAnswer: 2, 5, 496681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2036, -284, 1454, 3172, 4864, 6524, 8146, 9724?\n\"Answer: -c**3 - c**2 + 1762*c - 3796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 2 * 19369416\nAnswer: 38738832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13919000 to the nearest one hundred thousand.\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-4)\/(-350))\/((-9)\/(-21))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9421 + -3.1.\nAnswer: -9424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*f**3 - 7*f**2 - 3*f - 2*f**2 + 9*f**2 + 200.\nAnswer: -62*f**3 - 3*f + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - (-3 + 1) - (-159 + 149) - 11?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 10) + 18840\/2112 and -71\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 308*q + 64*q - 438*q + 460*q in the form y*q + g and give y.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 36 = 25*h. Which is smaller: 18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -56*u + 53*u + g, 4*g - 16 = -u. Solve 17*o = 22*o + u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k**3 + 11*k - 11*k.\nAnswer: 55*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 1326.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 2, n: 9, q: 5}. What is prob of picking 1 x and 1 o?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3341*v**2 + 965*v**2 + 1371*v**2 + 1003*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/28*63\/(-18)*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 95\/2. What is the nearest to 0 in -0.1, 1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22306 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6. Let f(v) = v - 18. Let c(i) = 3*f(i) - 8*w(i). Let r be c(4). Let m(u) = u**2 - 2*u + 7. Is m(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 divided by -130319.\nAnswer: -9\/18617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 44.7 (c) 2 (d) 1 (e) 1\/2 (f) 2\/413\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7863.819 litres to millilitres.\nAnswer: 7863819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00021900157 rounded to six decimal places?\nAnswer: -0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1100) - (sqrt(1100) + (sqrt(1100) + (sqrt(1100) - (sqrt(1100) + -2)))*-1))**2.\nAnswer: 40*sqrt(11) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 598 - 558. Solve -5*n = -5*f + 20, -a = n - 0*n - 3*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) 777 (c) -13 (d) 0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 2. Suppose -n = -2*t + 35, -4*n - 63 = -2*t - 13. Let y be (2 - 3)\/(3\/t). Determine f(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1691 - 1257 = -m + 3*h, h = 5*m - 14782. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 49953050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143365, -285684, -428003, -570322, -712641, -854960?\nAnswer: -997279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2289 and 159432.\nAnswer: 159432.2289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + l = 43, 1004*l = -5*y + 1005*l + 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 24*o = 36*o + 132. Solve -48*i + o*i = 130 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 24 = 4*u + o, 0 = -5*u + 4*o - 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/2477 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6819?\nAnswer: 3, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsmk when four letters picked without replacement from mmsmmmmtsjmmtjskmts?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n**2 - n + 1. Let c(j) = 7*j**3 + 6*j**2 - 6*j + 6. Let p(d) = -d - 5. Let k be p(-5). Let q be (k - 1)*(0 - -1). Determine q*c(h) + 6*v(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 25*u - 72. Let o be i(11). Solve -30 = o*q - 21*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 - -1.68. Is x at least as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2702698228.\nAnswer: 2, 311, 2172587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 2490. Let v be j(0). Suppose -16*w = -17*w + v. Suppose -389 = k - w. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.36 + 6.\nAnswer: 7.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -8) + 20 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10964\/27435 - 2\/5487. Let k(x) = 2*x**3 + 2*x**2 - 2*x + 1. Let i be k(1). Put y, -4, i, 2\/13 in increasing order.\nAnswer: -4, y, 2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4205*h. Let i(d) = -1243*d. Calculate i(b(r)).\nAnswer: -5226815*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 2. Let n = -0.2 + 3.2. Let u = -3.2 + n. What is the smallest value in w, 0.1, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 - 6*o**2 + 7. Calculate w(-3).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22243 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281103 is divided by 901.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -95116*l**3 - 11*l**2 + 9*l + 24. Let s be r(8). What is s rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 30505225?\nAnswer: -30505202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.5. Let r = -38 + 40. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/55, -9\/50, 0.2, 0.1, -18\/5?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224948.1844 + -10838.6986. Let d = -235828.8829981 - k. Let w = d + 42. Round w to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 84, 133, 198, 285, 400, 549?\n\"Answer: o**3 - o**2 + 35*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -10. Let p = q + -61. Let b = p + 62.3. What is b rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6651 + 2.1651. Let h = 0 + -0.1. Let g = -1.96 + -0.04. Which is the closest to g? (a) h (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -10, -7, -4, -1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 109*v + 78*v = 26*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 - 17. Let q = 9813\/8 - 1217. Calculate the common denominator of q and ((-483)\/g)\/((-2)\/2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -56 - 6*l**2 + 3*l + 62 + 0*l**2. Let v be b(-2). Let g = -24 - v. Do g and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 + -61. Suppose j - v = 5*z, 4*z - 415 = -5*j - 40. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 1856?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24873 times 110.4\nAnswer: -2745979.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 6*j - 6. Let b(c) = 2*c**2 - 12*c - 7. Let s be 3\/(-3)*4\/2*-3. Let n be b(s). What is the units digit of y(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5268364 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 y when three letters picked without replacement from ttyttyaatyty.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Let h = b - -2. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 216 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, c: 5, x: 1, v: 3, m: 1}. Give prob of sequence vcm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19624445 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by 3728.\nAnswer: -39\/1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -438.45, 5, 0.3 in ascending order.\nAnswer: -438.45, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2683462 and 19832?\nAnswer: 719167816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 91*l**2 - 164*l - 1242. Let k be p(89). Sort -812, k, -2 in decreasing order.\nAnswer: k, -2, -812","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-5\/2)*((f**(-10\/9)\/f*f*f)\/f)\/f*f**(1\/3)*f\/f**(-3\/2) assuming f is positive.\nAnswer: f**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 40. Suppose -5*d - 2 = w, -3*r + 2*d + 58 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 67070?\nAnswer: -67064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29575 is divided by 1408.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = x - 3, -11 = -5*m - 3*x - 2. Solve n = -m*n - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -180*v. Determine r(-1).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -27. Let m(w) = w**2 - 7*w - 3. Let y be m(z). Which is bigger: y or -15\/7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751.63081 rounded to the nearest 10?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1118709 or -1118711?\nAnswer: -1118711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -84, 5, -4 in descending order.\nAnswer: 5, 0, -2, -4, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34598 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5860, -22784, -50992, -90484, -141260, -203320, -276664?\nAnswer: -361292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7637, -15326, -23015?\nAnswer: -30704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 = -2, -410 = -5*k - 5*m. Suppose 2*g - 88 = -5*t + 4*t, g - k = -t. Calculate the remainder when t is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.452175 millilitres in litres?\nAnswer: 0.001452175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1898, 3825, 5752, 7679, 9606?\n\"Answer: 1927*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4273 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314.9 + -307. Is m at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -262400 or -262398?\nAnswer: -262400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91, -103, -105, -97?\n\"Answer: 5*p**2 - 27*p - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -97, -0.01.\nAnswer: -97, -30, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*q - 1 = -q, -2*q = 3*b + 5. Suppose 0 = w - b - 1. Suppose -2*f = -6*y + 2*y + 8, w*y = 5*f - 4. Solve -1 = -f*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**5\/15 - l**4\/8 - l**3\/6 + l**2. Let p be m(-2). Let s = p + 19. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 6 = -8*f. Let k be 31\/((4 + f)\/2). What is the highest common divisor of 31 and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 152 = -39*v + 76*v - 41*v, 5*v + 189 = -3*x for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 + 0*y + 75*y**3 + 0*y.\nAnswer: 82*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 divided by -2?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 48*i + 122. Let d be n(-2). Suppose -4*g + 1788 = 4*z, z + 2*z = 5*g - 2195. What is the greatest common factor of d and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -471870395*l*o + 33*o - 7096682 wrt l.\nAnswer: -471870395*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-152)\/(-32))\/((-1)\/(-8)). Suppose 3*n + n - y = u, 8 = 4*y. Let m be (12\/n)\/((-6)\/(-15)). Solve -r = l - 0*l, 24 = -3*r + m*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -0.069. Let w = -0.067 + f. What is w rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/28 + 9*q**3\/7 - 51*q**2\/14 + 2*q + 77. Factor t(r).\nAnswer: -3*(r - 17)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbhhbhhh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -3 + 5 - 5. Let n be (-4)\/h + (-7 - -9). What is the nearest to -0.3 in n, -1, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus -1247526023.84?\nAnswer: 1247526015.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 12*g**2 + 12*g - 17. What is o(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 5:15 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -5. Solve -15*p - d*p = 36 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, -15, -709, -10.\nAnswer: -709, -30, -15, -10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -10.14. Let u = -8.8 - -8.6688. Let v = q - u. Round v to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*p = 64, 653*u - 652*u + 38 = 3*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 4*l - 20, 28*l - 5 = 27*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 22*w - 572. What is m(13)?\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 362, 349, 11?\nAnswer: 362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.73 - 12.33. Let q = a + 7.3. Let s = q + 4.53. Round s to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 5*s - 2. Let k(f) = 7*f**2 + 10*f - 5. Let j(n) = -2*k(n) + 5*m(n). Let l(a) = 5*a**2 + 4*a. Calculate 3*j(t) - 4*l(t).\nAnswer: -2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -cad (base 15) in base 5?\nAnswer: -42423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*f - 68, -j = -5*j - 8. What is the remainder when 43 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 14*y + 20. Let k be z(15). Suppose -6*b - r - 43 = -2*b, 0 = -2*b - k*r - 35. Is b less than or equal to -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 2, -25\/4, -5\/4, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -37. Put 0.1, c, 0.3, 0.2 in ascending order.\nAnswer: 0.1, 0.2, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 - 72*x**2 + 556*x + 551. Calculate c(-30).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + -1395689?\nAnswer: -1395682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 212 + -144. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)\/(g\/(g*g**(-7)))*g*g**(1\/3)*g\/(g*g**9*g))\/(g**1*g**(-4\/9)\/g*g)**(-2\/11) assuming g is positive.\nAnswer: g**(-7408\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26967 and 3234?\nAnswer: 29070426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 989*l**2 + 194*l.\nAnswer: 1978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 6*o - 6. Let r be n(5). Let d be (0 - r)\/(1\/(-3)). Let z(t) = -t - 2. Let f be z(d). Solve u = -0 + f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 8, 18, 32, 50, 72?\n\"Answer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 901076?\nAnswer: 2, 11, 20479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 514 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 63. Suppose -i + 4*l = -9 - 17, 98 = 5*i - 4*l. Suppose 40 = i*z - 17*z. Calculate the remainder when z is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 90\/16 - 9\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -1.537?\nAnswer: 6.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 425 (c) 1 (d) -1\/61 (e) 147 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 0*m + 3*m)*(4 - 4 - 2*m) - 9*m**2 - 6*m**2 - 19*m**2 + (2 - 2*m - 2)*(m + 2*m - m) + 0 + 0 + m**2 to k*m**2 + h*m + w and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3 = -3*a + 5*a + 3*p, 170*p = -2*a + 175*p - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 65 - 23. Let x = -18 - h. Suppose x*r - 5*m - 104 = 0, 5*m - 2*m - 130 = -5*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27250*v**3 - 146021*v**2.\nAnswer: -163500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 2 + 0*u**4 + u**4 + u + 0 + u**2 - 2*u to the form t*u**2 + a*u**4 + k*u**3 + o*u + z and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-21) - (-135)\/105. Factor -j*v + 0 - 4\/7*v**2.\nAnswer: -4*v*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - -5*-4*sqrt(5)) + 1*sqrt(5)*-1)**2 - ((5 + (sqrt(720) - -2*sqrt(720)))*4)**2) + 0.\nAnswer: -102080 - 5760*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 - -1 - -2. Suppose -t*p - 79*p**5 + 3*p**2 + 52*p**3 + p**2 - 4*p**4 + 31*p**5 = 0. Calculate p.\nAnswer: -1, -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5 = 5*t + q, q = 3*t + 11. Let g = -9\/4 - -5\/2. Which is the third biggest value? (a) t (b) g (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.685 to 2 dps.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171\/586 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 - 19*u - 6. Let a(z) = 2*z**2 + 20*z + 7. Determine -4*a(k) - 5*j(k).\nAnswer: 2*k**2 + 15*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/(-9))\/(67136\/(-768) + 87)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487620 is divided by 1142.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -129, -282, -497, -774?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -116. Let y be g - 370\/14 - (-4)\/(-7). Is 11\/77 - 9300\/y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -41. Let w(v) = -v - 4. Let t be w(-6). Suppose 3*j = -5*s + 4*j - 7, -t*s + 2*j = -2. Put 0, l, s in decreasing order.\nAnswer: l, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 10 = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3560 (base 16) to base 2.\nAnswer: -11010101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 5*v = 20, -183*b - 7*v - 28 = -184*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0 + (0 - 2 + 1)*(2 + 2 - 2) - 27 - 10 + 57)*(h**2 - 4 + 4).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*-13\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -61690000 rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 11*v**8\/56 + 7*v**6\/10 - v**5\/5 + 1547*v**4\/2 - 5493*v. Find the third derivative of g(n) wrt n.\nAnswer: 1320*n**3 + 504*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from ggzywzgddgggglgwgg?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 153, 0.22533 in descending order.\nAnswer: 153, 1\/3, 0.22533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m + 36 = -2*x + 34*m, 0 = x - 2*m - 14. Put 0, 5, 16, x in decreasing order.\nAnswer: 16, 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778218145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 8, 3, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/6)\/(-5)*6. Suppose -2*l - s*l + 5 = 0. Solve 5*o + l + 19 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 273966.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d + 156*d - 399. Is -9 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b - 3. Let s(t) = -3*t**2 + 2*t + t**2 + 4*t**2 + 0*t. Let g be s(b). Solve -4*r - g = -2*q, 3*r = -0*q + q - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/4))**(-2\/3))**(-19\/5) assuming d is positive.\nAnswer: d**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -64 - 3 - (2905 + -2911)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 11 - 644*c - 12 + 42 - 8.\nAnswer: -644*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 + 2*l**2 - l - 2. Let v be i(-1). Suppose o = -b - 24 + 126, -v*b = -o - 418. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 322, 614, 914, 1228, 1562, 1922, 2314, 2744?\n\"Answer: p**3 - 2*p**2 + 291*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55881 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1234241 - 4027328437\/3263. What is the common denominator of 79\/39 and r?\nAnswer: 9789","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 227*p - 1576 + 214 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 = 129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + (8 - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 25.7, 5, -2.2, 1\/4, 1030\/3?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 43 + 13. Let v(u) = -2*u + 5. Let t be v(r). Is 8 a factor of t*((-25)\/7 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w - 36*w + 9 - 9.\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 - -133 - (-3 + 8 + -5 + 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.4 take away 0.012?\nAnswer: -15.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 18*o**2 - 1702*o + 922. Give n(94).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7079\/55 - -527\/11. Let s = i + 80. What is the common denominator of s and -113\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + h - 16 = -4*h, 2*d - h - 4 = 0. Solve 3*p - d - 11 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 6, a: 3}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 - 24*c + 847. Determine w(-11).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19\/((-38)\/20) + 2076?\nAnswer: 2, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 - -1*22904) + 1*(8 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 + n + 3.\nAnswer: n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 218.1 - 246. Let l = q - -13.5. Round l to 0 decimal places.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from addadfa. What is prob of sequence fdda?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5043459?\nAnswer: 3, 463, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -341 - -35?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 9*b - 6. Let g be c(-10). Let i be -2 + 0 - (-51 + g). What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 315 - 23. Suppose 3*k + 57 = -3*m + 510, 4*m + h = k. Is 44 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.99 - 5.09. Is n > -2.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 30*p**2 - 38*p + 55. Determine z(31).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010 - 10101?\nAnswer: -1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 511\/175 - 50712\/(-150). Do 341 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r = -57. Suppose 7*q = 8*q + 18. Let k = r - q. Which is smaller: k or -1\/14?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137\/3 greater than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1682.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/((-826)\/(-2065)*30\/(-32)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 5 = 5*o, -43*o + 7*q + 9 = -42*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21815946400 rounded to the nearest one million?\nAnswer: 21816000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039 times 4897?\nAnswer: 190.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8159521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (39\/26*-1)\/(15\/4). Which is the fifth smallest value? (a) -0.3 (b) l (c) -0.61 (d) 0.6 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/969 + 93991\/1938. Find the common denominator of a and -65\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/5 and 46227763 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -565731 (base 14) in base 6?\nAnswer: -142522451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -124. Let i(d) be the second derivative of d**4\/12 - d**3\/3 - 3*d**2\/2 + d. Let u be i(4). Solve f = 5*o + t + t, -2*o = u*t + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237\/5 at most 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i - 4891 = -1233*i - 788*i + 50437 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 + 5120173061125?\nAnswer: 5120173061125.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -0*w, -3*l - 5*w + 14 = 0. Suppose -2*r - l*a = -14, 3*a + 6 = 3*r - 0*a. Let g(p) = -p - r*p + 5*p + p. Let z(n) = -9*n**2. Calculate z(g(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 - 731*t - 5719. Determine s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -8, -30, -72, -140?\n\"Answer: -j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(72)*1.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16305868 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -v + 4*v. Let d = 3.52 - 5.52. Which is the second smallest value? (a) -0.01 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 1. Let t be j(1). Find the second derivative of -2*n**2 + n + 2*n + 5*n**t wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.131698 to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 80 = -3*w - k, 0 = 13518*w - 13519*w - 3*k - 20 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 11 + o**2 + 7*o**2 + 2*o. Let m be (-446)\/(-3791) - (-53)\/(-17). Let q(c) = c**2 + 6 - 2 + c + 4*c**2 - c**2. Give m*l(u) + 8*q(u).\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-93))\/(171\/(-28272))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111670 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 117*d**2. Let r(z) = -861396*z. Calculate a(r(y)).\nAnswer: 86814359051472*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*(-74)\/2. Let v = -25 + k. Let z(p) = -p**3 - p**2 - 2*p - 1. Let f be z(-1). Which is bigger: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times 0.04?\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, -10, -0.4, -4, -2010.55?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v**3 - 295*v**2 - 12*v + 28 = 0. Calculate v.\nAnswer: -14, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -312147, -624289, -936437, -1248591, -1560751, -1872917?\nAnswer: -2185089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56030*v - 22 = 56045*v - 157 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24 + 22\/44\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1457142, 5828582, 13114330, 23314398, 36428798, 52457542?\n\"Answer: 2*j**3 + 1457142*j**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 151460?\nAnswer: 454380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/7 + -34\/77. Calculate the common denominator of -13\/11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 45 = o, h = -215691*o + 215696*o - 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 155.39 - 164. What is h rounded to one dp?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18\/10)\/(5\/50). Let y be q\/(-4)*(-8)\/12. Let m be (-4)\/y*18\/(-12). Solve 1 - m = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -15*c**3 + 13*c**2 + 11*c - 51. Let q(j) = -7*j**3 + 6*j**2 + 5*j - 25. Let r(z) = 13*q(z) - 6*s(z). Determine r(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86.21 + -97.21. Which is the fourth smallest value? (a) 1\/6 (b) 1\/4 (c) 2\/7 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2223, -2224, -2225, -2226, -2227?\nAnswer: -2228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9183 = -2*p + 5*p, p = -3*b + 3063. Let x = p - 5741. Let c = 3832 + x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/5, 3, 53.\nAnswer: -1, 2\/5, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d + 3*d. What is the nearest to 1 in 5, d, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m + 0*m)*(-2 + 19 + 179)*((-4 + 4 - 3)*(m - 4*m + m) - 3*m + 2*m + 0*m - 3*m + 3*m + 2*m + (4 - 4 + 2)*(4 - 4 + 2*m) - 4*m + 4*m + 2*m).\nAnswer: 7644*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 2043829 + 2043829. Let q(o) = 145*o**2. Determine q(t(d)).\nAnswer: 2320*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1368 is divided by 342?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -9*k**2 + 158*k + 3. Let r(z) = -8*z**2 + 157*z + 2. Calculate 2*b(n) - 3*r(n).\nAnswer: 6*n**2 - 155*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13643, -27125, -40259, -52871, -64787, -75833?\nAnswer: -85835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 84?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 31. Let m = -6 - s. Let w(c) = c**2 - 4*c - 7. Let v be w(m). Solve -12 = -x - 2*l, -v*l + 3*l + 2 = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 60525 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.81 - 0.21. Let t = y + -4.6. Let o = 0.3 + -0.8. Which is the nearest to -0.2? (a) 2 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -340, -509, -676, -841?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*p - 54, -42350*t + 42351*t - 3 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 + 7 + -1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffrdbkn. Give prob of sequence bfd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.03, -0.2, -0.3, -2, -0.4, 11987?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51300 divided by 5130?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 52*m**3 - 2*m + 1. Let k be j(1). Suppose -2*d - k = -131. Suppose -d = -4*y - y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011121881183 to 4 decimal places.\nAnswer: 0.0111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 29, 89, 207, 401?\n\"Answer: 3*z**3 + 2*z**2 - 7*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 4*y = 0, 0 = 5*y + 9 + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/411296496 and -71\/308472372?\nAnswer: 1233889488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.24 - -0.04. Sort -0.5, -2\/11, 0, u.\nAnswer: -0.5, u, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-8)*0\/(-2). Let x(p) = p**2 + 5*p - 8. Let m be x(-6). What is the remainder when 123 is divided by 41 - ((1 - c) + m)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3373926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601715 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -8666244?\nAnswer: -1\/2888748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(833) + 3 + sqrt(833) + sqrt(833) + sqrt(833))**2 + sqrt(34)\/(sqrt(24)\/sqrt(300)).\nAnswer: 61*sqrt(17) + 13329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 0*s + 2*s)*(0*s - 3*s + 5*s) + (-6 + 5*s + 6)*(5*s + 0*s + 17*s) as o*s**2 + r*s + f and give o.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 + v - 3*v**3 - v - 20. Suppose 153 = 177*k - 1263. Let f(x) = -x**3 - 3*x**2 - 7. Calculate k*f(o) - 3*a(o).\nAnswer: o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2252.156507 + -0.226507. Let m = q - 2241. Round m to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*(sqrt(300) + 1 + sqrt(300)))**2 - sqrt(300)) + (3 + (sqrt(300) - (sqrt(300) + 0)))**2)*-3.\nAnswer: -90102 - 2970*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 4500003080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6974632, -27898568, -62771794, -111594310?\nAnswer: -174366116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 + 3*s + 5. Let d be g(6). Let b = -21 + d. Let p = -100 - b. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 1517820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Differentiate 0 + 5*y**2 - 1 - 1 - r*y**2 with respect to y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 267 - 220 - 3*m**5 + 10*m**5 - 3*m**5 + 2*m**5 + 3*m**5 + 0*m**2 + 0*m**2 - m**5 + (2*m**2 - 2*m**2 - 2*m**3)*(-3*m**2 + 0*m**2 + 4*m**2).\nAnswer: 6*m**5 + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 5. Let d(f) = 7*f**4 + 18*f**2 + 12*f - 13. Let i = -1736 - -1723. Let b(g) = -3*g**4 - 9*g**2 - 6*g + 6. Let q(m) = i*b(m) + x*d(m). Factor q(v).\nAnswer: -3*v*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4747.956l?\nAnswer: 4747956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 5)*(-9 + 23 + 2*h + 15).\nAnswer: 2*h + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.1352 * -142.2\nAnswer: 19.22544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 23*f + 22. What is the units digit of h(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 - ((96 - -14) + 38).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*1*1\/(-2). Suppose 6*q - 18 = k*q. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**4 + 5*z**4 + 4*z**4)*(2*z + 4 - 4) + z**5 - 4*z**5 + z**5 + z**4 - z**4 + 2*z**5 + (-1 + 3*z**3 + 1)*(0*z**2 - z**2 + 2*z**2).\nAnswer: 31*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9621335529 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 37*r - 32. Let b be q(1). Determine n so that 26*n**2 - 33*n**3 + 49\/2*n**b - 77\/2*n**4 - 4*n + 0 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 3\/20*v**5 + 0 + 1\/4*v**4 - 1\/10*v**6 + 0*v**3 - 2*v + 0*v**2 - 1\/14*v**7. Determine w, given that l(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*g + 3480 = 0, 5*m - 6*m + 1714 = 4*g. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2641 (base 11) to base 9.\nAnswer: -4634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 598718509 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5363604 and -0.4.\nAnswer: -2145441.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 85 = -6*l. Suppose -l*p = -52 - 33. Solve 0 = p*u + 14 + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:36 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.392 - -3.608. Sort w, 3\/2, 5, 20 in descending order.\nAnswer: 20, 5, w, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + -0.05. Let k = -30.6 - -31. Which is the smallest value? (a) -2\/11 (b) k (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 20. Let z be -9 - (3 + -3) - h. What is the units digit of (z\/(-2))\/((-2)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2\/29 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = 25. Let z = 9 - i. Let n(h) be the third derivative of -h**4\/24 - 10*h**2. Let o(u) = -u**2 - 3*u. Give z*n(a) + o(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 8, y: 4}. Give prob of sequence yjc.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from kkckkc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36644?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 0*1\/(-3). Suppose 5*l - 15 - 5 = s. Let h be 25 - ((-1 - 3) + l). Calculate the highest common factor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13872672 by 1734084.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.93964ns in seconds?\nAnswer: 0.00000003593964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -83*z - 16. Let s(l) = 56*l + 11. Calculate 5*h(d) + 7*s(d).\nAnswer: -23*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d + 38*d = 464. Let k = d - 113. Solve z - 2*t - 5 = -0*t, -8 = -k*z - t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/10 and -51\/36712.\nAnswer: 183560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10865157*t**5 - 155451*t + 15 wrt t.\nAnswer: 217303140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 9*o - 15 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56317857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 34*a**2 + 30*a**2 + 30*a**2 - 128*a**2 + 36*a**2. Let d(o) = 46*o**2 - 3*o. Give p(d(x)).\nAnswer: 4232*x**4 - 552*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**(-6\/11)\/t))\/((((t\/((t*t**7*t)\/t))\/t)\/t)\/t))**(22\/9))**49 assuming t is positive.\nAnswer: t**(4508\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 530228 and 4260?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 - l**2 - 34 + 3*l + 34 in the form p*l**2 + o*l**3 + y + m*l and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkkkkxkxkk. Give prob of picking 2 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 261772000 rounded to the nearest 100000?\nAnswer: 261800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 268 + 1000. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 + 9)*(-4)\/26 + (-1140)\/(-26). Which is the closest to 0? (a) -16 (b) 1\/4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*4 + sqrt(32)*3)**2.\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3448*q**2 + 3*q - 2*q - q.\nAnswer: 3448*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*g**3 - 718*g + 364*g + 294*g.\nAnswer: 416*g**3 - 60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)\/y**(-3\/11))**12)**21 assuming y is positive.\nAnswer: y**(1449\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 46, -292, -872, -1694, -2758?\nAnswer: -4064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42064849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from ldlrrsr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 + 602*p - 1803. Give g(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 53*j - 72. Calculate o(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -13\/2, 510, -2\/11 in increasing order.\nAnswer: -13\/2, -2\/11, 0.4, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -14. Let z(p) = -196*p**3 + p**2 + 6*p + 7. Is z(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*f + 3 - 3 + 283*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 7*f - 12. Let x(q) = 7*q**2. Let i be x(-1). Let p be v(i). Suppose -4*y + p = -0*y. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -498 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2095166.\nAnswer: 2, 31, 47, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 35 - 35 + (-2 - 1 + 4)*(2*d - d - 3*d))*(2 - 6 + 3).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/11 - 1169001*p\/11 + 9352072\/11 = 0. What is p?\nAnswer: -1169009, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c = 2*l - 139, -l - 305*c + 12 = -303*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 252000 = -16*w. Round w to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 12) + 5 - (-10 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(1 + sqrt(108)) - ((sqrt(3) - sqrt(135)\/sqrt(5)) + 0)))**2 + -2.\nAnswer: 1080*sqrt(3) + 10879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 26, 0.08536, 0?\nAnswer: 0.08536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 6*x**2 + 10*x - 1. Let v(r) be the third derivative of -r**5\/30 - r**4\/8 + 19*r**2. Let z = -14 - -7. What is z*v(a) - 2*g(a)?\nAnswer: 2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 33 = 3*o, -k + 4*o = -6*k + 72. Suppose 15 = 3*r - 4*d + 4, -2*r + 5*d + k = 0. Is -2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/6)\/((-2)\/(-3)). Let w = 7 - 10. Let v be (-116)\/(-96) + (-2 + -2)\/(-32). What is the nearest to m in v, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + (-20)\/4 - (-1)\/(-1). Let r(h) = -7*h - 3 + 6 - z + 2. Let t(k) = -8*k + 4. Give -4*r(d) + 3*t(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6880*h**3*y**2 + 1208*h**3 - 18797*h**2*y - 300*y**2 wrt h.\nAnswer: 41280*y**2 + 7248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 18*w**2 + 21*w + 40. Let v be s(-19). Let u(p) = 2*p + 1. Let b(x) = -2*x - 1. Let q be (5 - (-14)\/(-3))*9. Give q*b(l) + v*u(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184*j**5 + 113*j**2?\nAnswer: -11040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/42 - 4\/21. Suppose 30*l + 47 + 67 = 24. What is the fourth biggest value in l, 2\/17, i, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16201 rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -309 divided by 3?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1) + -26 + (-1 - (-12 - (-11 + -1)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgo when three letters picked without replacement from xgoo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5100 and 272?\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7497443 and 3670.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*l + 4*b, 2*l - 5*b - 9 + 35 = 0. Let h(g) = -g + 7. Let x be h(5). Let c be (-4)\/l - 5\/x. Sort c, 3, 2 in decreasing order.\nAnswer: 3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103343235 is divided by 8294?\nAnswer: 8289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*a**4 - 465*a**3 - a**2 - 181510*a - 1?\nAnswer: -1176*a**2 - 2790*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76862 - 113128 = 6333*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 4.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((154245\/130)\/113)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**2\/5 - 187061*o\/5 - 3366774\/5 = 0.\nAnswer: -187043, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 59*r + 2. Let v = -31 + 32. List the prime factors of y(v).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 114 = j - 11*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 479 = 8*a - 153. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2*u)*(4*u - 5*u + 0*u) + 20 + 30*u**2 + 16 + 192*u - 36)*(u**2 + 0*u**2 + u**2).\nAnswer: 64*u**4 + 384*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -648 + 835. What is the least common multiple of j and 6?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128304 = 83*f - 199567 - 239683. List the prime factors of f.\nAnswer: 2, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {r: 4, q: 3, u: 11}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(((-660)\/(-25))\/22)\/((-8)\/(-10))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1251 (base 8) to base 4.\nAnswer: 22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + p**3)*(0*p - p - 13*p) + 2*p**4 - 4*p + 4*p.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110 - 10?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 - 80*o**2 + 47*o + 361. Let p be j(26). Solve 47*c - p = 14*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 16*p - 5915. List the prime factors of p.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 997, 1878, 2761, 3646, 4533?\n\"Answer: v**2 + 878*v + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 6:40 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64688746.\nAnswer: 2, 32344373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 3:49 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*h - 3200 = -201*h. Is 80 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 5:24 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 141951701 a multiple of 2544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19716 and 911398388.\nAnswer: 6572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22819 + (-6)\/2 + -1. Let c = b - 866921\/38. What is the common denominator of -3\/5 and c?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/2))\/(s\/(s*s\/s**(-1\/8))*s)*(s\/s**(1\/3))\/(s**(-4)\/s))**(16\/9) assuming s is positive.\nAnswer: s**(350\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (50\/3)\/(-1)*(2 - 140\/40). Suppose 4*u - 4*w - 64 = 0, 3*u + 5*w - 11 = 29. What is the highest common factor of l and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1488 + -0.14879514. What is x rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 13182.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2.3 (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 12:19 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450395 or -1801583\/4?\nAnswer: -1801583\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 30 = 3*n. Let y be (10\/n)\/(4\/(-30)). Let v(t) = t**2 + 5*t - 6. Calculate v(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**3\/4 - 115*y**2\/4 - 15776*y + 127920 = 0.\nAnswer: -205, 8, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7502 - -2.2498. What is the third biggest value in -3\/4, -661, j?\nAnswer: -661","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/9)\/(2*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15780633\/13 or -1213896?\nAnswer: -15780633\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i**(1\/5)*i))\/i*i*i**4)\/(i*i**7*i\/i**(4\/5)))\/((i\/((i\/(i*(i**(-4)\/i)\/i))\/i)*i**(2\/9))\/((i*i**0*i)\/i)**(-19\/4)) assuming i is positive.\nAnswer: i**(-787\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5634868, 11269723, 16904578, 22539433, 28174288, 33809143?\n\"Answer: 5634855*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 12, -0.5, 24739, -2\/7 in increasing order.\nAnswer: -0.5, -2\/7, -0.1, 12, 24739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -878 = -7*x + 592. List the prime factors of x*1 - (0 + -3 + 3).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 2, -3, 1, 4.\nAnswer: -3, 1, 2, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let a be 0 + n + 2 + 1. Solve -y + 2*b + 11 = 0, -8 = 3*y + a*b + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/15 + -2 + (-64)\/(-10). Let p(c) = -c**2 - 7*c + 3. Let t be p(-6). Let b = t + -4. Solve 5 = -4*k + b*k + z, -4*z - 25 = -v*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/839 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/6 - (-2)\/(-6). Let k(n) = q - n - 3 + 2*n. Let p be k(-6). Solve p*t - 14 = -3*t - 4*v, -20 = -4*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**2\/2 + 5*b - 1. Let y be q(11). Calculate the remainder when y\/(-21) - 540\/(-21) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 - 3*d - 76. Let n be x(-9). Is (-90)\/(-4)*(-12 - n\/5) a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, m: 2, u: 3, a: 1, z: 3, e: 3}. What is prob of sequence qau?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**3 - 23*g**2 - 196*g - 961. Determine o(-5).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 5*b + 0*b**4 + 0 - 2*b**2 - 3\/20*b**5 + 0*b**3. What is the first derivative of c(a) wrt a?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 215 = 690. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364297 (base 10) in base 15?\nAnswer: -72e17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4811 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 12*u + 10*u + 4*u - u + u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 = -3*l, 5*l - 1 = j + 3*l. Let o = 9 - j. Solve n = 3*n - o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 275884051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*a - 20, 9*k + 12 = 4*k - a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g + 52*g - 21*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186213 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1589845.853 to the nearest one thousand.\nAnswer: -1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2 - 87112*n + 696832 = 0 for n.\nAnswer: 8, 87104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/27018957 and 19\/21.\nAnswer: 27018957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -224441, -448920, -673397, -897872, -1122345, -1346816, -1571285?\n\"Answer: n**2 - 224482*n + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/10)\/((-2)\/(-40)). Let d = b - -10. Suppose 0*s - 5*n + 143 = d*s, 2*s = -4*n + 138. Is s 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 10:22 PM and 8:00 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 10) in base 6?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/16*-20)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {n: 2, w: 11, l: 1}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**2. Let d(v) = -v**2 - 85. Calculate d(i(l)).\nAnswer: -9*l**4 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**(-3))*u*u**(-1)\/u*u)**5\/((u**4\/u)**(-7))**(2\/59) assuming u is positive.\nAnswer: u**(-548\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -669991, -670265, -670539, -670813, -671087?\nAnswer: -671361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**6\/120 + 29*c**3\/6 - 68*c. Let p(b) be the second derivative of o(b). Let h(j) = -22*j**2. Give h(p(r)).\nAnswer: -198*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtwwfftfttwwft. What is prob of sequence wftw?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116\/3*l**3 + 0*l + 0 + 0*l**2 - 4\/3*l**4 = 0.\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 0.5, 7, -1\/335, 0?\nAnswer: -1\/335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108644491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5629*w - 623*w - 923*w + 695975 = 0 for w.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 11. Suppose -3*p = -2*p + 11. Let z be k(p). Suppose z*h + 65 = h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 + 17*q**3\/5 - 36*q**2 + 484*q\/5 - 80.\nAnswer: (q - 4)*(q - 2)**2*(q + 25)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - -5 - (-76 - -83)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 45, -18, -2, -261, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24261 + 24266. Which is the closest to m? (a) -2 (b) -9 (c) 1 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 1)*(0 - 1 + 3) - 5 + 2 + 2)*(13*f + 3*f - 2*f).\nAnswer: 42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/60 - s**4\/2 - s**3\/6 + 236*s**2. Determine a(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1464?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-245)\/325 + 18\/30. What is the third biggest value in w, -8, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-36)\/30)\/((-6)\/20). Suppose 0 = -a*l + 25 - 9. Solve 5*b = l*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 25 = 5*o, -7*f - 5*f + 1415 = -3*o + 502 + 500 + 503 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 5) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15086 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 11 = 29*b. Let v = -2674 + 77536\/29. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462396.\nAnswer: 2, 3, 11, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*f - 12 + 3, 5*z + 15 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/9)*v*v**(-3))\/((v*(v*v**6)\/v)\/((v*v**(2\/3))\/v))*((v*v**0)\/v*v**(-2\/5))\/(v\/v**(-2)*v**(-3)) assuming v is positive.\nAnswer: v**(-353\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057720449 to three decimal places.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05076 and -4.\nAnswer: -3.94924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/9 - 16*f**4\/9 + 16*f**3\/3 - 64*f**2\/9 + 32*f\/9.\nAnswer: 2*f*(f - 2)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(54\/24)*6\/2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**(2\/15))*y*y*y**(-5\/4))\/(y**0)**(-9\/10))**(1\/6) assuming y is positive.\nAnswer: y**(53\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c*c\/c**5*c)\/c)\/c)\/c)\/(c\/(c\/c**(1\/4))))\/((c\/(c\/(c\/(c**3*c*c)*c)))\/((c*c**(-2\/17)*c*c)\/c)) assuming c is positive.\nAnswer: c**(43\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/333 + 676\/1665. Find f, given that 2\/5*f**3 + 2\/5*f**2 + 0 - 2\/5*f**4 - d*f = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 8*l + 6*l)*(6 + 4 - 5) + 2 - 2 + l as b*l + w and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -707 + 707. Suppose -3*a - 2*b = -17, o*a + 3 = -3*a + 3*b. Solve 2*y = 2*z - a*y + 4, z + 5*y + 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 - -5) - (9 - 16 - -21).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*k - 20, h - 6*h - 3*k - 5 = 0. Let c = h + 1. Suppose 2*g = -4*a + 49 - 15, g - 22 = c*a. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12342, 24702, 37062?\n\"Answer: 12360*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15255 greater than 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 110.3424 minutes?\nAnswer: 6620544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -488*s**4 + 487*s**4 + 36*s - s**3 + 2*s**3 wrt s.\nAnswer: -12*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**2. Let o(v) = 2*v**2 + 3*v. Let n(l) = -3*l**2 - 4*l. Let m = 10 - 6. Let r(d) = m*o(d) + 3*n(d). What is r(g(p))?\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/8 + (-1)\/(-2). Let h be (8\/246)\/((-6)\/162). Let o = -763\/205 + h. Is o greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/42)\/((-9)\/(-63))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 431 + -140. Suppose 4*c + y - 609 = 0, -2*c - 10*y + 5*y = -v. Let t = -78 + c. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*(-24)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/2299 + -388\/34485. Which is greater: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 15*q + 26. Factor m**2 + 12*m + 2 - q*m - 4.\nAnswer: (m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b - 1. Let n(g) = g**3 - 22*g**2 - 4*g - 4. Suppose w - 12 = -5*j, -3*w - 864 = -885. Calculate j*n(s) - 4*z(s).\nAnswer: s**3 - 18*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 676117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 1, d: 2, h: 3}. Give prob of sequence hbh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 35*g**2 + 507*g - 12923. Determine j(32).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 516 - 516. Suppose -4*p = p - 2*f, h = f - 5. What is the closest to p in 2\/3, -0.3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21182291*i - 19733645 wrt i.\nAnswer: -21182291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.9003972 to two dps.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/4)\/((-1)\/2). Suppose 40 = -2*q + m + m, -5*q = -m + 84. Let k = n - q. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5. Let z(y) = -111*y + 20. Let d(h) = 3*i(h) + z(h). What are the prime factors of d(-10)?\nAnswer: 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - 337?\nAnswer: -33e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:03 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159480\/23 - -6932. Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2))\/(f*f\/(f**(1\/6)\/f)*f))\/(f**(2\/11)*f**(-2\/9)))**(3\/10) assuming f is positive.\nAnswer: f**(-949\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*t**2 - 7*t**6 - 3*t**6 - t**2 wrt t.\nAnswer: -1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 616937877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 3*z + 2. Let a be y(-4). Suppose 58 = 3*c - 4*q, -c = -4*q - 18 - 12. Let u = c - a. Solve 0 = -5*j + j - u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 58. Let x be j(21). Suppose 5*p + 58 = -k, 0 = -p + x. Which is bigger: k or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 + 17)*(1 + 0 + 2)*(4 - 2 + 0)*(m + m - 10*m).\nAnswer: -192*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272712581.\nAnswer: 7927, 34403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -148 + 148\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6412 is divided by 492?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -328466.2 rounded to the nearest one hundred?\nAnswer: -328500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 3:34 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 4, 0.06 in decreasing order.\nAnswer: 4, 0.06, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/5633 + 253353\/247852. Let v = 8\/11 + z. Determine q, given that -5\/4*q**2 - 1\/2 - v*q = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 16)*(-2)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1 (b) 0.4 (c) -2\/49 (d) -4.1 (e) -1 (f) -2\/9 (g) -15\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 z when four letters picked without replacement from zzrrrrrzq.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 541 = 3*x + 4*g + 43, x - 5*g = 147. Solve -160 = -46*h + x for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 802 + -790. Solve -w = 311*m - 315*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 263, 266?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paa when three letters picked without replacement from {g: 4, n: 6, a: 2, e: 1, k: 4, p: 1}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 16210*x + 13138205.\nAnswer: 5*(x - 1621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.83 and -180.\nAnswer: -329.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-235)\/(-20) - (-3)\/(-4). Let a(s) = -s**3 + 12*s**2 - 11*s. Let q be a(v). Suppose q = -4*u - 0*u + 892. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5 - 5*v**2 - 2 + 3 + 3 - 5*v. Let q(h) = -h**2 + h - 1. Let g(l) = -l**2 - 3*l + 1. Let a(p) = -2*g(p) - 2*q(p). What is 3*a(u) + 2*k(u)?\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -115325557 * -2.\nAnswer: 230651114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72 + (-7)\/((-7)\/(-9)). Suppose 4 = 4*x, 3*d + d - 5*x = 23. Calculate the highest common factor of d and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*p**3*w**3 - 2*d**3*p**3*w**2 + 70944*d**3*p*w**3 - d**3*w + 241271*d*p**3 wrt w?\nAnswer: -6*d**3*p**3 + 425664*d**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149.93 + -151. Let q = -0.86 - n. Let p = -0.01 + q. Which is the nearest to 2\/5? (a) p (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30 - 35) + 567 + -2 + 0.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 244*w**2 + 2*w + 1. Let z(n) = 163*n**2 + 1. Let p(f) = -2*o(f) + 3*z(f). Suppose 4*g + 0 = 2*u + 8, 0 = -5*u - g + 13. Give p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -120*o**2*p + 60283*o**2 + o - 221932*p**2 - 67 wrt p?\nAnswer: -120*o**2 - 443864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.926685 to 2 dps.\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 53, 26, 3, -6.\nAnswer: -6, 3, 4, 8, 26, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*w = -3*w + 23, 5*t - 31 = 2*w. Let q = 96 + 234. Let z be 4\/6*q\/4. What is the highest common divisor of z and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.1 + -0.1. Let y = a - 15.08. Let m = 0.02 - y. What is the second smallest value in -3, 0.02, m?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1800221057, -1800221056, -1800221055, -1800221054?\n\"Answer: w - 1800221058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86 + (-52364)\/(-608))*-64?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*o + 50 = 0, 46*d + 2*o = 43*d + 10*o - 125 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 3838248?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 21, -4, -9, 3, 77, -3 in decreasing order.\nAnswer: 77, 21, 8, 3, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 + 97. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**3\/3 + o**2 + 2*o - 18. Let m be i(-2). Which is the nearest to -2\/3? (a) -0.1 (b) m (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(17) + sqrt(17)*-3*5 - sqrt(17)))**2.\nAnswer: 137697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*b + 225147 + 185925 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2751.0005241 - 2751. What is c rounded to 5 dps?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.4, 59, 2\/7, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/9)\/((-13)\/16731*-13). Solve 10*s = 32*s + x for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5616)\/(-64))\/27)\/(2\/(20\/(-5)))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Let r = -0.51 - -0.01. Let i = r - -0.9. What is the second smallest value in 1\/2, i, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(-3*(sqrt(10) + sqrt(50)\/sqrt(5)) + sqrt(10)))**2 - (2 + sqrt(700))**2*5.\nAnswer: -87993\/25 - 200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - (2 + -4 + -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 97 + -65. Let u be (-1)\/(-8) - (-1212)\/z. Suppose 0*x = -x + u. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:34 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-28))\/(6\/(-2)*-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1.97 (b) 0.4 (c) 0.3 (d) 31 (e) -0.1 (f) 0 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 20*a**2 + 16*a**2 - 5 + a**3 + 0*a**3 - a**4 in the form l + c*a + t*a**3 + g*a**4 + u*a**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16085137, 16085170, 16085203, 16085236?\nAnswer: 16085269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -518.9 rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4 - 3653*d**3\/5 + 21841*d**2 + 865461*d\/5 - 557802\/5 = 0. Calculate d.\nAnswer: -7, 3\/5, 38, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 45?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 657 - -519. Let y = l - 10570\/9. Is 2 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242 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: Convert 0.7634656 litres to millilitres.\nAnswer: 763.4656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -151000 (base 7) in base 12?\nAnswer: -14a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -14178, 2, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 5*m**2 - 4*m + 1. Suppose 1 = -0*b + 3*b - 4*z, -5*b = -4*z + 9. Calculate the remainder when p(b) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10653 - -10505. What is the smallest value in 1\/5, 2, w, -1\/2, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 - 5*m - 4. Let n be a(6). Solve -p - 8 = 3*p - 3*g, -n*g = -p + 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -42*c**3 - 265*c**2 - 74*c + 33. Calculate v(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 37, -4, 0, 1114 in descending order.\nAnswer: 1114, 37, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 53. Let d be i(-9). Calculate the greatest common factor of 110 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 70797132.\nAnswer: 778768452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 5e?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((18\/(-40))\/((2280\/25)\/(-8)))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + 2 + 2 + 28. Let k be (3\/(-16))\/(14\/i). Which is the second smallest value? (a) 4 (b) k (c) 15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 - 7 = 5*n, -o + 5 = 0. Let s(w) be the second derivative of 1\/6*w**3 + n*w**2 + 3*w + 0 - 1\/4*w**4. Find the second derivative of s(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -32. Suppose -4*n + 11*n - w = 0. Solve -7*p + 3*p = 2*b - n, b = 2*p - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -12*u**4 - 880*u**3 - 19816*u**2 - 121520*u + 142228 = 0.\nAnswer: -31, -37\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-191)\/(-6) - 8\/(-48). Suppose -y = y + o. List the prime factors of 8*1\/(y\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19970\/33 - -1816\/3. Suppose 2 = -3*p - 4. Let y be ((-2)\/(-9))\/(p\/(-12)). Put 0, y, f in increasing order.\nAnswer: 0, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.3575 - -0.0425. Let f = 125 - 177. Let d = q + f. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 5 = -7 - 104 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302708 and 119168?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 - 6. Calculate x(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 47. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61\/150 + -1\/150. Which is the nearest to u? (a) 2 (b) -1\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5 + 1 - 189\/(-180) and 10\/(((-980)\/65)\/(-7)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*j + 35 = -188*j. Solve -j*f = -642 + 628 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -19, -43, -77, -121?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11374\/(-329) + 34 - 2\/(-4)*(-6856)\/28.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 20\/64169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**5\/13 - 106*k**4\/13 - 512*k**3\/13 + 3256*k**2\/13 - 3648*k\/13 = 0.\nAnswer: -8, 0, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 155 + -159. Let m(j) = 2*j**2 + 5*j - 3. Give m(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711007312 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 2806068541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*u**3 + 1795*a + 9816*u**3 wrt a.\nAnswer: 3*u**3 + 1795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 71 - 104)*(-1 + 6*u - 4*u + 0*u).\nAnswer: -280*u + 140","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069870937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160605565 (base 7) in base 8?\nAnswer: 51167114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -10, 32 in decreasing order.\nAnswer: 32, 3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5\/7 - 5*n**4\/7 - 8*n**3\/7 - 4*n**2\/7.\nAnswer: -n**2*(n + 1)*(n + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2280 - 1518. Suppose -7*d + d + i = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/((52\/(-104))\/(3\/(15\/5)))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 8450208?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/8 - p**3\/3 - 14*p**2. Suppose 0 = -2*l + 3*l + 5. What is the tens digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.1 + 147.1. Let f = -130.4 + k. Let y be 6\/9*(-9)\/(-4). Put y, f, 5 in increasing order.\nAnswer: f, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9084, 1, -2 in increasing order.\nAnswer: -2, 1, 9084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*a + 14, -2*a = -20*h + 19*h + 1. Suppose 0*y - 2*y = 2. Put h, 4, 1, y in descending order.\nAnswer: 4, 1, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.213192 take away 0.1?\nAnswer: -0.313192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1122 divide 1067022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 2*t + 2. Let s be b(-1). Let q(w) = -4*w - 1. Let z be q(s). Let l = -45 + 47. Solve l*p = z*d - 14, -18 = 3*p - 5*d + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37879586 and 0.07.\nAnswer: -0.0265157102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 13)*(-6)\/9. Suppose -5*b - 17 = x, -5*d = -2*b - 25. Solve -d*n + 20 = -5*a, -3*n + 0*n = 5*a - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 48.\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3)\/(-9) + 3)\/((-256)\/(-3461760))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9641880811 to the nearest integer?\nAnswer: 2128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**13\/r))\/r**(-6\/7))\/((r*r\/(r**(-4\/3)*r))\/(r*r**(-37))))**5 assuming r is positive.\nAnswer: r**(-5090\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 9*k**2 + k + 13. Let h = -3 - -1. What is the lowest common multiple of p(-9) and 12\/20 + h\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/209818 and 83\/26.\nAnswer: 2727634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c = -68*c + 44. Suppose -17 = 3*o - 4*n + 7, 4*o + c = 2*n. Put -22, -1, 0, o in descending order.\nAnswer: 0, -1, o, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 384, 1396, 3366, 6612, 11452?\nAnswer: 18204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**4\/12 + 2*r**3\/3 - r**2 + 4*r. Let k be b(-5). Suppose -k*t - 4 = -40. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:32 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 2:16 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3)*(y + 2*y - 4*y) as z + o*y and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -283140 or -283146?\nAnswer: -283140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129843620 by -68.\nAnswer: -1909465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z + 297 = 17 - 42 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.6689 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 0 + 0*l + 12\/7*l**2 - 4\/7*l**4 - 8\/7*l**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 54, -10 in ascending order.\nAnswer: -10, -5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88075325*x - 795665165 wrt x.\nAnswer: -88075325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -49. Let l(v) be the first derivative of 4*v**3\/3 + v**2 - v + 1. Let a be l(c). Solve a*m + 28 = 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31520580 to the nearest integer?\nAnswer: 5614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(189)\/sqrt(112) + sqrt(3) + 0 + sqrt(3) + -3 + sqrt(300) + 0)**2 + 0.\nAnswer: 51*sqrt(3) + 7867\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(100\/6))\/((-15)\/(-50))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2331, -2097, -1861, -1623, -1383, -1141?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1692 - -1699.89. What is f rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 3946 = 2*o - 3960, -3*m = -3*o + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.4 (b) -3\/5 (c) 4\/357 (d) 0.4 (e) -1 (f) 284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 427*q - 10315. List the prime factors of m(40).\nAnswer: 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**(-1\/5)*a)**(-36))**(-22))**37)**11 assuming a is positive.\nAnswer: a**(2901096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230 + 1231*c**4 + 59 - 50*c**2 + 49*c**2 - 21 + 383 - 2*c**3 wrt c?\nAnswer: 29544*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 451944 by -18.\nAnswer: -25108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 8*z + 2*z**2 + 2*z to the form d*z + j + k*z**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1313527746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -154 and 829.41?\nAnswer: -127729.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -23*r**7\/210 - r**5\/20 + 4*r**2. What is the third derivative of s(y) wrt y?\nAnswer: -552*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 903 + 1665. Suppose 0 = 3*i + j - 405. Solve -i = 5*z - 33 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -61\/28 - -17\/7. Which is the second smallest value? (a) 2 (b) 2\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 16. Suppose 0 = -5*f - i - 5. Calculate the remainder when 4 is divided by 1 - (f - 0) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -162 and 5?\nAnswer: -810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 49. Let v(a) = 30*a**3 + 9*a**2 + 15*a. Let d(x) = x**2 - x. Let q(l) = h*v(l) + 15*d(l). What is the third derivative of q(k) wrt k?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -834 (base 9) to base 5.\nAnswer: -10204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.24475*-3\nAnswer: -0.73425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/35 in 0, 1\/4, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30650*p**2 - 5*p**5 - 17130*p**2 + 0*p**5 - 13000*p**3 - 515*p**4.\nAnswer: -5*p**2*(p - 1)*(p + 52)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 403.8 + -404.8. Suppose 4 = 2*h - 0. What is the closest to h in 0, -3, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 9*l**2 - 5*l - 15. Calculate q(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, -73 in decreasing order.\nAnswer: 7, -2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 293 divided by 2.\nAnswer: 293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**4 - 3122*u**3 - 9354*u**2 - 9350*u - 3116 = 0.\nAnswer: -1558, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 6090*w**4 - 3004188*w**3 - 87836874*w**2 - 569881809*w + 660716784 = 0. What is w?\nAnswer: -16, -13, 1, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**3\/3 - 7*f**2 - 43*f + 53. Let t be g(-8). Solve 4*c + 4*z = 3*z + 5, 3*c + t*z - 25 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 2)**2 - sqrt(700)) + (sqrt(1008)*-2)**2.\nAnswer: 30*sqrt(7) + 4736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**6\/24 - 3*k**4\/8 + 2*k**3\/3 + 4*k**2 + 3*k. Let v(w) = -2*w**3 + 4*w - 2. What is -4*b(a) - 9*v(a)?\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*h + 2*h + 8 = 0, -4*z = 4*h - 28. Let q(i) = 4*i**2 - 1. Let y be q(-1). Let p(k) = k**2 - 5. Let c be p(y). Solve c*j = 2*j + z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwiwkkziakmiaam. What is prob of sequence kizm?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 917*v**2. Let k(h) = 77095*h. Calculate k(l(r)).\nAnswer: 70696115*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 2.5. Let j be 5\/(60\/44)*426\/3905. What is the second smallest value in x, 0.9, j?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134233753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Suppose 12 = i*h - 4. Suppose -h*j + 95 = -37. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/28*(-24)\/18*-3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -577 + 559. Put -1\/8, 5, k in ascending order.\nAnswer: k, -1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 23. Give y(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9 + o + 0*o + o + 6 + 3*o**2. Is k(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 18*k + 4. Let y be u(5). Let f(h) = -h**2 - 7*h + 36. Let b be f(y). What is the common denominator of 23\/20 - (-2)\/b and 75\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by (13 - 594\/36)*(-284)\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/24)\/(162\/2304*16). Which is the closest to 2? (a) -5 (b) 2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.115 or 336560?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*s + 8 + 5*s + 11*s - 13 + 7 as j*s + l and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - j + 36 = 15, -5*f + 4*j + 42 = 0. Let t = 52 - 34. What is the highest common factor of t and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 99*s - 1479 = 0 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.9. Let a = 8 - 5. What is the biggest value in -3, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 6:59 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 62*m + 127. Let i be d(29). Let g(b) = -4*b**2 + 42*b + 11. What is g(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 60 = 2*w. Let t be (12\/w)\/(8\/20). Suppose -2*n + 3*n - 8 = -o, -t*n = -3*o - 1. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 920489176 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*w = 2*w + 275, -4*s - 220 = -5*w. Let t = 36 + s. Let y = 29 + t. Calculate the least common multiple of y and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*(sqrt(143)*2 + sqrt(143)) + sqrt(143))\/(sqrt(99)\/(sqrt(18)\/sqrt(2))) + 1 + -5)**2.\nAnswer: 64*sqrt(13) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*n + 14. Solve 0 = -5*j - 3*k + 11 - n, -2*j = 5*k - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 99231*y**2. Let d(z) = 45*z**2. Give x(d(l)).\nAnswer: 200942775*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 50.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:43 AM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 1. Let f(w) be the first derivative of -w**4 + w**2 + 4*w + 1. Let r(g) = f(g) - 3*q(g). Is r(-2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 1\/583, -0.2, 2\/11, 26, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95*m*v**4 + 91*m*v**3 - 2*m*v**2 - 8*m + 375 wrt v.\nAnswer: -2280*m*v + 546*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-2) + 6\/12. Let k be n*1\/3 + 2. Let p(h) = -k*h**2 - h**2 + 2*h**2 + 3*h**2. Let z(t) = t. Determine p(z(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/2*24\/144*(-60)\/105\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004810799 rounded to 7 decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 46209814 divided by -23104907\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5034 - -5034.022. Which is smaller: -0.08 or o?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69718714 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0235, -4, -1315.\nAnswer: -1315, -4, -0.0235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*w, 3*u + 7*w - 24 = 5*w. Let d be u\/4*58\/145. Which is the closest to 0? (a) -2 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7 = -5*u, -o = -2*u + 3*o + 8. Let s(p) = 64*p**2 - 4*p + 2. Let y be s(u). Suppose -3*f + y = 2*f. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.45 + 0.55. Suppose -4*q = -8, -2 = -2*m + m - 3*q. Put s, 1\/10, -3, m in decreasing order.\nAnswer: s, 1\/10, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 - c + 1. Let l(b) = -116*b - 4 + 7*b**3 + 124*b - 2*b**2 - 5. Let j(d) = l(d) + 6*u(d). Let f be j(-3). Solve 4*m + f - 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/((-31)\/31)*10\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1605142463?\nAnswer: 1605142465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26796 + -0.2.\nAnswer: -26796.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151.436885231 - -258.436885368. Let m = 107 - x. Round m to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1221, 1577, 1933, 2289, 2645?\n\"Answer: 356*r + 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18908 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*f + 4*u, -4*f = -u + 5 - 22. Let x(j) = j**2 - 6*j. Calculate x(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 - 132 - (-3 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 9372761.\nAnswer: 37491044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 o when four letters picked without replacement from oggogggo?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.387122 seconds in microseconds?\nAnswer: 3387122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15023 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*r**2 - 4 + 35*r**2 + 10*r**3 wrt r?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1113*m**3\/4 + 71349*m**2\/4 + 286800*m + 29952.\nAnswer: 3*(m + 32)**2*(371*m + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2828, -4472, -6114, -7754, -9392, -11028?\nAnswer: -12662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 1. Let q(j) = j**3 - 6*j**2 + 5*j + 1. Let i be q(5). Let t be s(i). Let x = -1.5 - -1. Which is the nearest to t? (a) 0.2 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/164878 and 10\/105993.\nAnswer: 1483902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -44*u + 1213. Give z(28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 20 = -4*a. Suppose 2*h + 3 = -a*q, 2*h + 1 = -2*q - q. Solve -3*j = -4*j + h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**2 + 292*v + 6227. Determine x(75).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4160287*b + 9528857 wrt b?\nAnswer: -4160287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c. Let j(o) be the first derivative of -13*o**6\/360 - 2*o**3\/3 + 13*o - 32. Let i(r) be the third derivative of j(r). Give d(i(p)).\nAnswer: 65*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 100369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15320346 to the nearest integer?\nAnswer: 3914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*x + 0*x - x)*(-54*x**2 - 145*x**2 - 3*x**2 - 118*x**2) + 0*x**3 - 2*x**3 + 4*x**3 to the form s*x**3 + j + v*x + b*x**2 and give s.\nAnswer: 2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/390 and (57 - 63)*(-54)\/16.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, -2, 7\/11?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11534, 5272, -5166, -19780, -38570, -61536?\n\"Answer: -2088*w**2 + 2*w + 13620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1854.253ml to litres.\nAnswer: 1.854253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10 and -69\/526.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.6635535 rounded to two decimal places?\nAnswer: -192.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1*sqrt(209)*2 + sqrt(209) + sqrt(209))\/(sqrt(539)*-2) - (0 + 3 + sqrt(38)\/sqrt(2)*-3)).\nAnswer: 19*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10\/9)*j*j)\/(j\/(((j\/j**(-6\/11))\/j)\/j)) assuming j is positive.\nAnswer: j**(-56\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80 - -51) + (-278 - -255)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75473853.\nAnswer: 3, 7, 13, 276461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -288, -400, -482, -528, -532?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 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 30 and 26540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -4306339 and -4306338 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/(-1))\/5)\/(4\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cclccclcc. Give prob of sequence lclc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 9. Let p = 96 - 91. Calculate the remainder when l(-6) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 + -223 + (25 - -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(54\/12)*84236\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 10:20 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1000*k**6 + 852*k**2 wrt k.\nAnswer: 120000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 20. Suppose 4*j + q*g = 73 + 23, 0 = -3*j + 5*g + 40. Suppose -t - j = -6*t. Solve -4*s - t - 16 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1508, 1654, 1898, 2240, 2680?\n\"Answer: 49*x**2 - x + 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22474, 22144, 21814, 21484, 21154?\nAnswer: 20824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000284377 to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*8\/(-20)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 9:17 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*g + 13, 2*g + 3*g + 31 = 4*y. Let t(r) = r**2 - 2*r - 2. Let x = -4708 - -4710. What is the least common multiple of x and t(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 822 (base 11) in base 10?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/9)\/q*((q\/(q*(((q*q\/q**9)\/q)\/q)\/q))\/q)\/q*q)\/(q**0)**(-3\/2)*((q**(2\/43)*q)\/q*q**(-2\/11))**(1\/19) assuming q is positive.\nAnswer: q**(682436\/80883)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 1068*w**3 + 3232*w**2 + 2160*w.\nAnswer: -4*w*(w - 270)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157648048*t**2 + 5*t - 3 - 5*t + 157648051*t**2 + 3.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25479.\nAnswer: 3, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**7\/y))*y**(-1\/6))**(-45)\/(y**(3\/2)\/((y\/(y\/(y*y*(y\/(y*y\/(y\/(y\/(y\/(y**(2\/13)\/y))))))\/y*y*y)*y)*y*y)\/y))**(-20) assuming y is positive.\nAnswer: y**(-8045\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 53*d**3\/5 - 131341949*d**2\/5 + 16274252173995*d + 307061371125.\nAnswer: (d - 1239075)**2*(53*d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 134779.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 853*a**2 - 38*a - 81. Let y(j) = 285*j**2 - 13*j - 27. Let z(l) = 6*r(l) - 17*y(l). Is z(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*o = -76*o + 936. Calculate the lowest common multiple of 168 and o.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + w - 3*w. Let y(i) = 2*i**2. Determine m(y(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -96. Calculate the remainder when s is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6794.2124 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -469. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(832)*1 - sqrt(832) - (5 + sqrt(832)*4 + sqrt(832)))**2 + -3.\nAnswer: 720*sqrt(13) + 67414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -81 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 262 and 153610.\nAnswer: 20122910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 6603922?\nAnswer: 26415688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/9)\/((-65)\/(-7254)).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, 3, -1 in decreasing order.\nAnswer: 4, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 138*z - 26*z - 37*z - 23*z - 18*z - 34*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sah when three letters picked without replacement from ahnssqt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let n(w) = 998952*w**2. Calculate l(n(r)).\nAnswer: 997905098304*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 0, 2 in ascending order.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 978*s + 165*s**2 - 246*s + 2201*s.\nAnswer: 165*s**2 + 2933*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 8. Suppose r*j - 20 = -2. Let z be (-7 - 7)*528\/(-112). What is the highest common divisor of j and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-6 - -13) + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2\/119, 1\/3, 0.01, 2\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -277*z - 1342. Give l(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 10 - 22 = 0. Let a = k + -23. Let q be 1\/3*a\/(-10). Sort 2\/21, q, 2.\nAnswer: 2\/21, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031245089 rounded to four dps?\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2053 (base 9) to base 7\nAnswer: -4251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*d + 63. Suppose -40*s + d*s = 0. Solve s = -u + 3*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/75 (b) 1 (c) -2 (d) -2\/3 (e) -1 (f) 7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -20*r - 307. Let y(c) = c**3 + 11*c**2 + 4*c - 64. Determine y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:15 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001608139 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -179. Let j(x) = -42*x - 195. Let n be j(-5). Suppose -r = n*i - 16*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10853.5 - 5906. Round a to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-70 - -56 - (-19 - -2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2292*y**3 + 2338*y**3 + 4482 - 1520*y**3 + 715 wrt y.\nAnswer: 9330*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4177048*u**3 - 1017010*u + 3 wrt u?\nAnswer: -25062288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 7*a**2 + 19*a - 3. What is i(6)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5)\/h)\/(h\/(h\/h**(-3))))\/((h\/(h**(2\/27)\/h))\/(h**(2\/7)*h)) assuming h is positive.\nAnswer: h**(1852\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 7 + 6 + 19 = -5*r + 13, -4*r - 146 = -42*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 8*f + 1. Let p(u) = 1. Let a(y) = -4*y + 2. Let w be a(2). Let b(c) = w*p(c) - j(c). What is the units digit of b(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and (-260)\/(-12) + (-1)\/(-3)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -452780 - -648080. What is c rounded to the nearest ten thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(4\/(-28) + (-693)\/(-49))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1424004 (base 7) to base 9\nAnswer: -321063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -269285008 take away 40.293?\nAnswer: -269285048.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3*t + 3*k**2*t**3 + 144*k*t**3 + 12857*t**3 with respect to k.\nAnswer: 6*k**2*t + 6*k*t**3 + 144*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**5\/30 + 2*x**2. Let v(p) = -p**2. Determine v(i(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - -123. Let l(f) = -2*f**3 + 3*f**2 + 59*f + 3. Let x be l(-6). Suppose -2*i + x + 19 = 0. Calculate the remainder when i is divided by u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14320.2 - 13750. Is -1 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**4*o**2 - 1001*c**4*o + 730*o**2 wrt c?\nAnswer: -4*c**3*o**2 - 4004*c**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 - 3*k**2 - 7*k**2 - 5*k**2 - 10*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1117 - 949. Sort v, 0, -6 in descending order.\nAnswer: v, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpfbfppfxxi. Give prob of picking 1 c, 1 b, and 1 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 114 - 111. Solve 3*w = -c*s - 0*w - 9, 2*s + 3*w = -4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2499 = -157*s - 772 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*(q\/(q**(-5)*q))\/q*q))\/q**(-8))**48 assuming q is positive.\nAnswer: q**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 101*b**4 + 191*b**3 + 689*b**2 + 396*b.\nAnswer: b*(b - 99)*(b - 4)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 568428 - -1.980149\nAnswer: 568429.980149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -42*i. Let g(a) = -4*a**2. Give k(g(c)).\nAnswer: 168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 3*y - 5*n, -9 = 3*n. Let l be (475 - 1)*y\/10. Let j = l + 2761\/4. Find the common denominator of j and -57\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(2 + (-2)\/(-2)). Let s be (-399)\/38 - 1\/2. Let p = u + s. Sort -5, 1, p in descending order.\nAnswer: p, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73864760?\nAnswer: 2, 5, 1846619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 9, -2219, -19, 0, 0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -1\/2*u**6 + 0*u**5 + 0*u**3 + 0*u**2 + 0 - 1\/3*u**4 + 33*u. What is the third derivative of j(f) wrt f?\nAnswer: -360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlxolhq. What is prob of sequence olq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 3 = -17. Suppose -2468 = -a*l + 3*r - 4*r, 2*r = 4*l - 4920. Is l a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0678 + 0.07. What is p rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -d - 763 + 80, -u = 5*d - 325. Suppose -31*y + u = -27*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 394b79?\nAnswer: -394b81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23719*p**3 + 19377*p.\nAnswer: 142314*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5543798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eemmeeemmmee. Give prob of sequence emmm.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2202 or -2210?\nAnswer: -2210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -14. Suppose -5*x = -13 + 8. Let r be x\/(-2)*(4 + -1). Which is the biggest value? (a) -3 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3625875139?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 2, v: 1}. Give prob of sequence ed.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z = -47*r + 44*r + 384, -4*z - 3*r = -114 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i, -5*w + 0*i + 85 = -5*i. Calculate the remainder when 39 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 3. Let s be a(-5). Solve z + 23*z - 27 - 3*z**s - 6*z = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -119*i**2 - 30*i - 54. Let w(y) = -278*y**2 - 61*y - 108. Let g(q) = -7*f(q) + 3*w(q). Determine g(28).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 243?\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 338812*b + 3726936. What is r(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*y = 656*y + 5475 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 4:51 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -7. Let f = 33 - m. Round f to one dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = q - 623, -9*a = -11*a - 8. List the prime factors of q.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-6))\/((-3)\/(-12)*-2). What are the prime factors of -3 + 3 - (t - 51)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/4 + (-2)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -23*k + 587. Determine w(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d**2 - 18*d + 4. Let b(p) = -6*p**2 - p + 2. Let u(x) = -3*b(x) - f(x). Determine u(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 63. What is r(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -8*w**5\/7 - 62*w**4\/7 + 96*w**3\/7 + 44*w**2\/7 - 88*w\/7 + 18\/7 = 0.\nAnswer: -9, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44 and -103175.\nAnswer: 4539700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -181 + 198. What is the greatest common divisor of d and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 48340*a + 241750.\nAnswer: -2*(a - 24175)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y - 86 = 204 + 35. Solve -4*o - y = -r, 31*o - 30*o + 5 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 5*p**4 + 2 + 5 - p - 2*p**4 + p + (1 + 2*p**2 - 1)*(-4 + 4 - 2*p**2).\nAnswer: -11*p**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5808269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 335?\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528766*a = 527860*a + 49830 for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 1.2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**2 + 800*f - 36176 = 0. What is f?\nAnswer: -238, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddgygdddgdddyddbdy. Give prob of sequence ggd.\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/24 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*a**4 + 98*a**4 - 24*a**4 + 2*a**3 - 3*a**2 + 3*a**2 + 2*a**4 + (-2*a**2 + 2*a**2 - 2*a**3)*(-17*a - a + 7*a).\nAnswer: 157*a**4 + 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004183158 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*h + 7. Suppose 3*f + 0*f + h*f = 0. Suppose 5*w - 3*v - 6 = -5, f = -2*v + 6. Solve 2 = -p - w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**2 + 2*s + 1. Let a be b(1). Let q be ((-80)\/(-15))\/a*-3 - -14. What is the greatest common divisor of q and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -1154, -3754, -8784, -17054, -29374, -46554, -69404?\nAnswer: -98734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -180, -513, -1112, -2061, -3444, -5345?\n\"Answer: -14*n**3 - 7*n**2 - 32*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:19 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i - 20. Suppose 0 = 14*l - 5*g - 61, l + 1 = 4*g + 9. Give h(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222654 plus 496176886?\nAnswer: 496399540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 20 = -2*x. Suppose 0 = 2*b - 4*a - 4, 5*a - x = -2*b - 0*a. Factor -7*v**4 - 12*v**3 - v**4 - 3*v**2 - 5*v**2 - 2*v - b*v**5.\nAnswer: -2*v*(v + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-7)\/(14\/342). Let n = -22 - i. Calculate the greatest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (736\/62192)\/(16\/(-52)).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11919992 is divided by 1811.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 13. Suppose 2*x + 3*o - 28 = 0, 2*x = -2*x + 5*o + 34. Let u be f(x). Let s be ((-30)\/u)\/((-4)\/(-6)). Put -6, 4, s in decreasing order.\nAnswer: 4, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + (0 - (-11 + 7)) - (-3 - -16)) + -23.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*b = 1414 + 1028 + 2038 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15, 17, -5, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 25201 = 21982, 0 = 3*k - 4*f - 435 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.2291 rounded to 1 decimal place?\nAnswer: -242.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 111 = -3*c + 3*v, 4*v = -2*c + 70. Find the second derivative of 33*a**3 + 75*a - c*a**3 - 24*a**3 wrt a.\nAnswer: -180*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -1, -4, 4 in ascending order.\nAnswer: -4, -1, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5797607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14663, -14942, -15399, -16034?\nAnswer: -16847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4)*(0\/(-1) + -2). Let i = 403 - 400. Solve -d*h + 20 = m - 0*h, i*h - 14 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646975507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108520 and 3307147?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 152*u**4 - u**3 - 74*u + 142247?\nAnswer: 608*u**3 - 3*u**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/22)\/(7779\/(-285230)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 67 - ((8 - -9) + -9). Calculate the greatest common factor of 236 and b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - 36*p**2 - 5*p - 121. What is the thousands digit of k(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41667409 less than -41667409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let y(h) = h**2 - 10*h + 12. Let v be y(8). Let w be 3\/((-12)\/8) - v. Let r(o) = 17 - 6*o**w - 6 - 11. Determine d(r(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c = 5 - 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 1. Let m(z) be the first derivative of -1 - z**2 + 2\/3*z**3 + 0*z + 1\/8*z**4. Let b(y) be the second derivative of m(y). What is -b(s) - 2*l(s)?\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 9. Let k be m(-3). Suppose 0 = -k*q + 16 + 14. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 22*a + 26. Let r be b(14). Let w = r + 408\/7. Solve 6\/7*k - w - 4\/7*k**2 = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 467457\/38*12\/(-18). Round c to the nearest one hundred.\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find y such that 6*y**5 + 643*y**4 + 9779*y**3 + 46612*y**2 + 72300*y + 10800 = 0.\nAnswer: -90, -10, -4, -3, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -13. Let i be (3\/r)\/(4\/16). Let p(t) = t**2 - t + 3. What is p(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, -10, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 172 + (544\/17)\/8. Let r be 4\/14 - 306\/(-7). Calculate the highest common divisor of r and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -710*d - 706*d + 4 + 2*d**4 - 7*d**4 + 1416*d - 237*d**3 in the form s*d + l*d**3 + w*d**2 + c + p*d**4 and give l.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1437 - 1393. Which is the nearest to 1? (a) j (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.31, -4, -42, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 353159*d - 538992?\nAnswer: 353159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 12*r - 9*r + g, 186 = 4*r + 2*g. Suppose -8*s + r = -19. Solve s*q + 5 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**10\/151200 - p**9\/15120 - 9*p**5\/20 + p**3\/3 + 6*p**2 + p. Let t(x) be the third derivative of h(x). Factor t(n).\nAnswer: n**3*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 2*v + 7. Let h be l(5). Let j be (-14)\/(-4)*(-8)\/(-2). What is the highest common factor of h and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011752 divided by -5\nAnswer: -1011752\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5398 divided by 2699.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -6. Suppose 43 = z - g - a*g, -3*z + 87 = 5*g. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -65 - -34. Let k = 37 + g. Suppose 0 = -5*t + k*t - 14. What is the remainder when 25 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 262897824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 994179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-1500) - 302\/(-25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 113?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2633006 or -2633007?\nAnswer: -2633006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -1\/7, 0, -2\/200071?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 565 and -0.4.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2053, -2057, -2063, -2071, -2081?\nAnswer: -2093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odod when four letters picked without replacement from {o: 13, d: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32b58 (base 12) in base 13?\nAnswer: -24842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - d - 2*d + 2*d. Let a(r) be the third derivative of 17*r**2 + 0*r + 0 - 1\/8*r**4 + 0*r**3. Determine h(a(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.625356042 to 4 dps.\nAnswer: 2.6254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16 + 17)\/(2*(-2)\/(-76)). Let s = 252 + x. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -118. Calculate the common denominator of 3 + 3 + (-636)\/s and 97\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/2 - (-3933 + 17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28554256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.048 in -8\/15, 1\/11, -2, 0.5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 22*b = -20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 15 = -5*b, -5*k + 2*b + 21 = 4*b. Put k, 0, 61 in decreasing order.\nAnswer: 61, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3101120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -119*o**5\/15 + 1566*o**2. Let g(q) = -q. What is g(x(k))?\nAnswer: 476*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 794 + -793. Let b(n) = 431*n + h - 250*n - 236*n. Let o(q) = -3*q. Determine o(b(c)).\nAnswer: 165*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 5*l**6\/6 + 4*l**5 - 75*l**4\/4 - 50*l**3\/3 + 110*l**2 - 120*l + 2097. Solve x(b) = 0.\nAnswer: -6, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**3 + o**3 + 3*o**3 + 0*o - 4*o**3 + 0*o + (-2*o**3 - o**3 + o**3)*(-1 + 3 + 0) as v*o + d*o**2 + n*o**3 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6. Let q(o) = o + 13. Let p(g) = -4*q(g) - 9*t(g). Find the first derivative of p(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129483?\nAnswer: 3, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -0.2, 4, -0.3, 2\/187, -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 161 and -1?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1\/3))**(-23)\/(r**(-2\/19))**(-21\/2) assuming r is positive.\nAnswer: r**(-2248\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 30*d + 48. Determine l(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 72\/11, -2, -4, -74, 31?\nAnswer: 72\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 0.2, -1\/4, 5, 2\/7 in decreasing order.\nAnswer: 27, 5, 2\/7, 0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/298959 and -41\/2092713?\nAnswer: 2092713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 + 30?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 131\/((-1236)\/432 - 2\/(-18)). Which is smaller: -47 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 - 2*d + 2. Let h(i) be the second derivative of -i**4\/12 - 14*i. Give 3*h(m) + j(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3763319 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 711408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*t**2 + 1 + 24*t**2 + 0*t**2)*(-3*t + t - t).\nAnswer: -159*t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 21\/2, 5, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 561 + 64 = 0. Let c be u*3\/(-8) - 2. Let k = -191\/4 + c. Calculate the common denominator of k and 23\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 3*z + 2, -6*z - 113*g = -112*g - 31 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + ((-4*(sqrt(245) + 0) - sqrt(245)) + -2)**2 + 3 + (-2*2*sqrt(245))**2.\nAnswer: 140*sqrt(5) + 10057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21 + (-4 - -8))\/(-1). Suppose 0 = 4*o - q + 1. Suppose -307 = -o*h + 3*d, -5*h + d = 3*d - 401. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006881 rounded to six decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/56 - (-4)\/14. Let l(r) = 2*r + 19. Let u be l(-9). Which is the nearest to 0? (a) 3 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 4 - (sqrt(12)\/sqrt(54))**2.\nAnswer: 34\/9 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 29*c. What is d(-1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 52, 74, 88, 88, 68, 22, -56?\nAnswer: -172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*o - 4, -5*o - 8 = 2*p + 13. Let k = 7 + p. Let j = 26 - 11. Calculate the smallest common multiple of j and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420140295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*c - 35 = 0. Let i be -4 - ((-46)\/(-115) + 2\/c). Let b = -11 + 16. Put b, i, -0.3, 0.4 in ascending order.\nAnswer: i, -0.3, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(68) - (sqrt(153)*-1)\/sqrt(9).\nAnswer: 5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, -82, -1\/2, -1086, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 3. Let o(j) = -10*j - 16. Let g(s) = 16*f(s) - 3*o(s). Let x = -1415 - -1408. Determine g(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -30*g**3 + g**2 + g. Let f be n(-1). Calculate the common denominator of (-12)\/f*145\/(-48) and 137\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -5, -1\/5, 1\/10, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 22 (c) -2\/35 (d) -1\/2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -207 + 109. Let x = -97 - r. What is the nearest to -1 in -1, -0.3, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 18, z: 2}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 + 91 - 46)*(0 - 6 - m**2 + 3) as q + f*m**2 + r*m and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 1.4 (c) -5 (d) -3\/17 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 41, 36, 29, 20, 9, -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 8*l**2 + 7*l. Give y(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13584684 is divided by 1865?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 608643 and 1279.\nAnswer: 778454397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.855 - -1.145. Let t = 8 - 6. Are t and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80.8 + -80.80451. Let f = y - -0.004. What is f rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 3, -1, -142680 in ascending order.\nAnswer: -142680, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22728 + -22728.000016757. What is j rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o + o + o**2 + 3*o - 1. Let j be v(3). Suppose -4*y - j*u + 4 = 0, -y = y + u - 2. Solve -7 = 4*h + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + (34 - 36) + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h + 1. Let b(x) = x**3 + 2*x**2 - 2*x + 3. Let k be b(-3). Suppose 2*v = -5*y, k = -6*v + 3*v + 4*y. Put v, h, -5 in ascending order.\nAnswer: -5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (0 - -1*4). Let y = 28497 - 28492. Solve w*c - y = -5*a, 4*a - 14 = 4*c - a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-3\/38)*h**4*h\/h**(-10) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccrcclcccrll. What is prob of picking 2 r and 1 c?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4222450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -6 + -7 + -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*h + 129759 = 66626 + 66125 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Solve -2*h + l*h = -8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 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: Expand (0*b**2 + 2*b**2 - 3*b**2 + (308*b + 304*b + 154*b)*(-b + 2*b - 2*b))*(-b**3 - b**3 + 0*b**3).\nAnswer: 1534*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 12:12 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (938 - (-1 - -2))\/(3*2). Let x = v + -156. What is the second biggest value in -2\/3, x, -2, -0.8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 3, 23, -2\/13, -11\/2, 0.1?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-21)*(-6)\/8)\/1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 894442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 54*w**4 - 63*w**4 + 128*w**4 + (w - w - 3*w)*(2*w - 2*w - w**3) to k*w**4 + n*w**3 + y + i*w**2 + a*w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Solve 0 = 4*o + 7 - x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 - 5. Let i be ((-6)\/(-8) - (-12)\/(-16)) + 0. Determine q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1413 and -81\/1256?\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -5*f**7\/147 + f**6\/15 + 3*f**5\/70 - f**4\/6 + 2*f**3\/21 + 68*f. What is x in m(x) = 0?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*z = 2*z + 12, 4*y + z = 17. Suppose -4*c + 1272 = j, -y*j + 2998 = 4*c - 2042. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 8*r**2 - 6*r + 9. Let d be t(-7). Suppose -6 + 2 = d*a. Is (a + 123\/9)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39200*r**2 + 560*r + 2.\nAnswer: 2*(140*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-4 + 2)\/(-2). Let a = -14 + 19. Suppose 19 = s*h - 2*u - 11, -5*h + 105 = a*u. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/9, 1\/3, 4, -688?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 7\/4 (b) -3\/4 (c) 1\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.268 + 0.172. Let v = 2.04 - s. Which is the smallest value? (a) 1\/6 (b) v (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115153, -115148, -115141, -115132?\nAnswer: -115121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*l**2 + l - 48*l**2 - 47922 + 47922 - 197*l**2.\nAnswer: -307*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1020631.\nAnswer: 1020631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1644.89740279 - -1926.3343327. Let p = -178.4369292 + k. Let c = 103 - p. Round c to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/(-50)*5\/(-2). Suppose -x + 17 = -p*w + 3, 58 = 2*x + 2*w. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12457983014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -454\/5 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -323540201*f**6 - 3*f**2 + 5428858*f - 2 wrt f?\nAnswer: -38824824120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.48 + 0.98. What is the closest to -1 in 4, -2\/3, 1\/8, v?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 12:08 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 15, 16, 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158.597487 nanoseconds to days.\nAnswer: 0.0000000000018356190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7*x = 5*x + 52, -4*b = x - 236. What is the greatest common factor of b and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*36\/(-6)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 0*h = -1845. Let p be (318\/12 + -6)*1*2. Calculate the greatest common divisor of p and h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496832431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = -1. Suppose 120*d + 3553 = -2581 + 1574. Is d less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgst when four letters picked without replacement from tlssgttshtggssg.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 10. Let o be c(-7). Let j be o - -2 - (-2)\/2. What is the smallest common multiple of (-3)\/((-9)\/j) - -2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from mttmbttmmmbttmbtt.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67197\/105154 - 2\/1813. Let k = -10868\/261 + 376\/9. Let f = q - k. What is the closest to 0.4 in 1, f, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k. Let w(j) be the third derivative of j**6\/240 - 3*j**4\/4 - 24*j**2 - j. Let q(n) be the second derivative of w(n). Give s(q(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 7830.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 + 11*x**2 - 15*x**2 + 7*x**2 in the form t*x**2 + b + i*x + v*x**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1211 (base 5) to base 2\nAnswer: -10110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 2. Let d = r + -3. Let c(k) be the first derivative of -k**4\/4 - 5*k**3\/3 - 2*k**2 + 3*k - 4. Calculate c(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37003146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67624564 is divided by 106161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 1015\nAnswer: -3\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/16*28\/7\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -1.3. Let f = p + 2.6. Let q = 0.4 + -3.4. Which is the second smallest value? (a) q (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 8*b**2 + 8*b + 13. Let o be w(9). Let r(j) = -o*j + 2*j**3 - 1 - j**3 + 3*j. Determine r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 15*x**3 + 113*x**2 + 33*x - 57. Give c(-7).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/3, -183366761, -1\/6 in decreasing order.\nAnswer: 2\/3, -1\/6, -4, -183366761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*g - 20 = -200, 2*p = -2*g + 78. Find the second derivative of 14 + 13 - p - 57*f**2 + 5*f + 16 wrt f.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*i + 6 = 0, c - 1 = -5*i + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 11) in base 12?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 18*m**2 + 92*m - 360. Let o be d(4). Solve o*z = 316*z + 120 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 5*y. Let n(i) = -i**2 + 2*i + 115. List the prime factors of n(y).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1646, -1568, -1438, -1256, -1022, -736, -398?\n\"Answer: 26*x**2 - 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 a factor of 1922428757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 4*d + 207, 5*r - 2*d - 136 = 3*r. What is the remainder when r is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/360 - q**4\/8 + 11*q**2. Let y(s) be the second derivative of g(s). Let t(u) = 20*u**2. What is y(t(o))?\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -599 + 1003. List the prime factors of l.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 - -3195?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 323971 and 5.\nAnswer: 1619855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t - h - 19, -1020*h + 59 = 15*t + 1016*h - 2038*h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 - 90?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33, 25, 17, 9, 1?\n\"Answer: -8*a + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 + 288*i + 43. Calculate t(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*z**2 + 31*z**2 - 53 + 27*z**2 to u*z + d*z**2 + i and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -445\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33.96552ns?\nAnswer: 0.00000003396552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330.143576 rounded to 0 dps?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00082 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14\/13 (b) 0 (c) 32 (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3171239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 300*x + 2325 - 277 + 952 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1704673062, -1704673064, -1704673066?\nAnswer: -1704673068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -541*y + 508*y + 4295 + 4318. Solve -7*q + y - 219 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 12510432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.11 - 13.89. Suppose 3*w - 8 = -5*n, -3*n + 4*w + 14 = -14. Let v be (-11)\/(-14) - ((-36)\/(-8) - n). Which is greater: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-2) + -14 + 16. Let i = 23 - d. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 14. Let v(a) = 2 + 4 - 2 - 2*a - 7. Let w be v(2). Let o be l(w). Which is smaller: -1.6 or o?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-60)\/(15\/(-1)) - 13. Let a(w) = -w**3 - 10*w**2 - 11*w + 8. Determine a(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -7, -3, -6, -15, -1, 2 in decreasing order.\nAnswer: 2, -1, -3, -6, -7, -15, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -0.3, -8, -2, 0.132?\nAnswer: 0.132","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3675*f + 8041*f - 4363*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78335.489 + 78370. What is y rounded to 1 dp?\nAnswer: 34.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbommslkommolmobk. What is prob of sequence lkso?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41211420, 41211418, 41211414, 41211408?\nAnswer: 41211400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.3, 30, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43, -28, -13, -4, -7, -28?\n\"Answer: -l**3 + 6*l**2 + 4*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3460, 3570, 3680, 3790?\n\"Answer: 110*t + 3350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 1300*x + 46512.\nAnswer: -2*(x - 34)*(x + 684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 189 - 189 + d**2. Let j(w) = -w**3 - 8*w**2 + 2. Suppose 3*i + 3*v = 12, 18 = -4*i + i + 3*v. Give i*j(t) - 6*s(t).\nAnswer: t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 12*f**2 - 6*f + 37. Let y be d(-10). Suppose -7301 = -21*i + y. What are the prime factors of i?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*g**2 - 2*g**3 + 2*g + 35*g**2 - 71*g**2 in the form v*g + o + m*g**2 + t*g**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q**4 + 183*q**3 - 393*q**2 + 201*q = 0 for q.\nAnswer: -67\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -291.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005294 rounded to seven decimal places?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 169779029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429 is divided by 757.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3*2 - -17. Let a = 717 - 715. What is the tens digit of (a*n)\/(-4 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**2 + 2*t + 1. Let p = -15 + 4. Let l(w) = w**3 + 16*w**2 - 11*w - 5. Calculate p*k(b) - 2*l(b).\nAnswer: -2*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 38, -18, -5, 4, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, 2827, -4, -1, -2 in increasing order.\nAnswer: -8, -4, -2, -1, 4, 2827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*v - 4*f - 450, -3*v + 2*f = -340. Let w = -108 + v. Solve 2*j + w = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16774163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 11*n - 1. Give s(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/12 + (24\/72)\/(10\/335). Put 63, d, 3, -1 in decreasing order.\nAnswer: 63, d, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301193692 divided by 25603\nAnswer: 11764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-4 + 10 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 329985934 a multiple of 1359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.69 and 5?\nAnswer: 278.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 + 0.049729?\nAnswer: 365.049729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 917.6 - 918.6. Is t greater than or equal to -13065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 + 21 - (1 - 593). Calculate the greatest common divisor of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db4d (base 15) to base 6.\nAnswer: 554531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 9 - 21. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1908 - -5646. Does 34 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3884*x = -3890*x + 894. What is the remainder when x is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 691625441*i**3 - 484621667*i**2?\nAnswer: 4149752646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100010100101 (base 2) in base 5?\nAnswer: 200214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 972\/432*(-2)\/(-12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-9)\/a*a)*a**(-12))\/(a\/(a*(a\/(a\/a**(-10)))\/a*a)*a**(1\/3)*a*a*a))**(-3\/17) assuming a is positive.\nAnswer: a**(46\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266)\/sqrt(343))\/sqrt(2) + (-3 + sqrt(475) - (sqrt(76)\/(sqrt(4)*1) - sqrt(19))))**2.\nAnswer: -216*sqrt(19)\/7 + 25065\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.037 - 21840149.\nAnswer: -21840148.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 30899616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(5*v**3 - 2*v**3 - 2*v**3) + (-11 - 14 + 11)*(2*v - 2*v - v**3).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 11*i - 8. What is s(8)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14925 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 25 = -2*x, -x + 27 = 2*x + 4*a. Find the third derivative of x*r**2 - r**2 + 5*r**5 - r**2 - 4*r**5 wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 29624*j. Let x(k) = -1362*k. Give x(p(b)).\nAnswer: -40347888*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 0.5 (c) 310 (d) -1\/2 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 12. Suppose 0 = q - 3 - 11. Is c\/(-28) - (-80)\/q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*m + 123*m**2 - 1 + 1 - 66*m**2 wrt m.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(176) + -1*sqrt(176)))**2 + (sqrt(11) + (sqrt(11) - (-3 + 2 + sqrt(11))**2))*-3 + -1.\nAnswer: -12*sqrt(11) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -844 - 5*u + u + 945 - 9*u as k*u + i and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277168 divided by 34646.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-19))**(-19)\/((c*c**(-18))\/c**(1\/2)) assuming c is positive.\nAnswer: c**(757\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 13 - 1\/4*f**4 - 1\/10*f**5 + 0*f**2 + 0*f - 1\/6*f**3. Factor q(u).\nAnswer: -u**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 52204199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 252136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4200 = 16*p. What is the highest common factor of 70 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*2671.8823\nAnswer: -10687.5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 - 2 = 0. Solve -n*k + 3*a + 9 = 0, -3*k + 13 = 2*a - 6*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -845, -1282, -1729, -2186, -2653, -3130?\nAnswer: -3617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 28151, -2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29150 and 51603450?\nAnswer: 567637950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 32 + 17. Suppose 4*k - 2 - 10 = 0. Suppose k*c - j = 65. Solve -3*b - 9 = -c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12529 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26065, 44896, 63721, 82540?\n\"Answer: -3*t**2 + 18840*t + 7228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 363\/7009 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9130.423771 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**2 + 59*v + 17. Let d be u(12). Let t(f) = -f**3 + 20*f**2 - 20*f + 18. Let g be t(19). Put d, 1, -2, g in descending order.\nAnswer: d, 1, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.3 (b) 311 (c) -29 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (42\/35)\/(3\/(-10)). Let d = 9 + r. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 66909*l**4 - 66907*l**4 - 4*l**2 - 13*l**3 + 2 + 4*l**3 - 2 in the form c*l**3 + f*l**2 + h*l + m*l**4 + o and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Let z be 0 - -1 - t\/2. Which is smaller: z or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 39 + -21 + -1 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5 + 897*m**4 + 103566*m**3 + 573528*m**2 - 1568448*m = 0. What is m?\nAnswer: -84, -8, 0, 2, 389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.25274ug in grams?\nAnswer: 0.00001925274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3778752, 7557503, 11336256, 15115011, 18893768, 22672527, 26451288?\nAnswer: 30230051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 229 + -228. Which is the nearest to 0? (a) 2\/13 (b) -2.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12120 - 10?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18000 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -7*q**3 - 7*q**2 + 12*q. Let r(l) = 173*l**3 + 171*l**3 - 15*l**2 + 25*l - 359*l**3. Let m(v) = -5*c(v) + 2*r(v). Find f, given that m(f) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -363*u. Let n(x) = 8408*x. What is n(p(v))?\nAnswer: -3052104*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:22 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 1. Let z be f(0). Let u = z + 3. Let t = 2 - u. Solve -a + 13 = -3*x, 5*a + t*x - 3*x - 29 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.943949 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 4*x**2 - x - 4. Let o be m(3). Let y be (8 + -2)\/((-3)\/o). List the prime factors of y\/10 - (-124)\/10.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 33. Let x be y(14). Let u(h) = h**3 - 9*h**2 + 4*h - 9. List the prime factors of u(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 442 = 449 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4822\/2005 + -2\/401. What is the common denominator of n and -19\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - 53. Let f = n - -90. Suppose -a = -f*a + 844. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:52 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 4}. Give prob of sequence ii.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1283 + -1282.357. Let t = -51584 + 51584.63631. Let w = d - t. Round w to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 31 = 43131*j - 43134*j, -j = -5*j - z - 0*z - 45 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/7 - 16*i\/7 + 24\/7.\nAnswer: 2*(i - 6)*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92120 and 1540.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 620315505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 579 and 0.3.\nAnswer: 173.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -177.2 and -0.4.\nAnswer: 70.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*g + 2*g + 10, -4*g - 12 = -2*p. Is g\/((-4036)\/(-1346) - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 15*b**2 - 27*b - 13.\nAnswer: -(b + 1)**2*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 255155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/3)*(k*(k\/(k*(k\/((k*k*((k**(-5)*k)\/k)\/k)\/k))\/k))\/k)\/k)\/(k**(-1\/5)*k*k*k**(-1\/4)) assuming k is positive.\nAnswer: k**(-353\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z - 19*z - 20*z**3 + 66*z**3 - 10*z - 1 wrt z?\nAnswer: 276*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 divided by -11\nAnswer: -72\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 13. Suppose 0*c - 4*l = -3*c + 10, 5*c = 3*l + 35. Let r be m(c). Solve -5*t - 4*x = -x + r, -3*x = -12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 + 6 - (5 - -23)\/(-4) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.7 + -8. Let q = 2.02 + -0.02. What is the third biggest value in w, 5, q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1244 (b) 1\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 52 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1124 (b) -1450 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -157 + 151. Suppose j = -2*j + 72. Suppose -b - 2*g + 7 = 0, 5*b = -n*g + 35 + j. Solve -4*y - b = 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 790*s**2 + 805*s - 1590.\nAnswer: -5*(s - 159)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-4*sqrt(343)).\nAnswer: -sqrt(11)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbabbbbbd. What is prob of sequence dba?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1239476307 by 3.\nAnswer: -413158769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 3 - -1)\/1. Let u(m) = 2*m**2 + 3*m + 2. Let k be u(-1). Let z(w) = 4*w**3 - w**2 + w. Let q be z(k). Is q less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o - 1. Let g(p) = 10*p. Give -g(c) + 3*r(c).\nAnswer: 11*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14)*a**(4\/7))\/((a**(1\/7)\/a)\/a**(-7)) assuming a is positive.\nAnswer: a**(-137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v - 6. Let f be g(2). Suppose 53 = f*l - t, -l - t + 72 = 2*l. Let r be -1 + (-1 - (-40)\/l). Which is bigger: 0.3 or r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -2 + 6 + (3 - 2). Solve -t*l - 3*h = -12, 4*l = 3*h - 5*h + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19698 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let c(j) = j + 4. Let i(y) = y - 3. Let h be i(-2). Let r be c(h). Put n, r, -3 in ascending order.\nAnswer: -3, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -28*z - 3. Let b be q(-3). Let u = b - 49. Let i = u + -18. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1692350647?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11040 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o - 3*b = 7, 3*o - 10 = -4*b. Suppose 4*r = k + 14, 5*k - r - r = o. Find the first derivative of -x**4 - 1 - k + 4 wrt x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 6781 = s, -1192*y - 13567 = -2*s - 1197*y. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 2 - (-30 + 25 + 5) - (-1 + -27).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 2\/7, -11, -56?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 2*m + 2*m + (2 - 3 - 1)*(-3*m + 5*m + m))*(-2276 - 2300 + 4486) to n + i*m and give i.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/8 of a kilogram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**8\/336 - p**7\/21 + 37*p**6\/120 - p**5 + 3*p**4\/2 - 2*p**2 + 2. Let y(u) = 0. Calculate u.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -76*9\/(-1)*-26*(-3)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11*t - 198. Let z(y) = 36*y. Give z(k(o)).\nAnswer: 396*o - 7128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21819*q = -6093*q - 1179450 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.948246 nanoseconds in seconds?\nAnswer: 0.000000003948246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 + 3*t**2 - t + 2. Let g be -5 + 0\/2 - (-8 + 5). Let y be (1 + -4)\/(3\/g). Calculate w(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*v + 3*w, -5*w + 2*w = 4*v + 9. Is (21\/v)\/(-7) + (-129)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4\/6 - 27*c**3\/2 + 1031*c**2\/3 - 2754*c + 12716\/3 = 0.\nAnswer: 2, 11, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41.09135ng?\nAnswer: 0.00000004109135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 + 712874*c**2\/3 + 1425754*c\/3 + 237626.\nAnswer: -2*(c - 356439)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 13. Let a = h + -27. Suppose 2*i = -i + 6, -5*i = -3*l - a. Is l less than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -12, 846, -5, 10, -3 in ascending order.\nAnswer: -12, -7, -5, -3, -2, 10, 846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 199, 965, 2247, 4051, 6383, 9249?\n\"Answer: m**3 + 252*m**2 + 3*m - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: How many minutes are there in 283.49337 microseconds?\nAnswer: 0.0000047248895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 2 (c) -2\/9 (d) -2 (e) -5 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**5 - 185*q**4 - 655*q**3 + 185*q**2 + 660*q = 0. What is q?\nAnswer: -33, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7886094 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 71, -3, 1 in decreasing order.\nAnswer: 71, 6, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*d + 2443 + 608 = 1159 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -0.837.\nAnswer: 0.07533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 89, 217, 397, 629, 913?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 12) in base 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -145994 + 7 + -3 + -10. Round z to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)*h*h**(-2\/13))\/((h*h\/(h*h**(-14)*h))\/(h**13\/h*h*h)) assuming h is positive.\nAnswer: h**(20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 36*f**2. Let t be 26840\/(-495) - 8\/(-36). Let z(u) = u**2. What is t*z(l) + b(l)?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by 1?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5658.7 + -5659. Which is the nearest to 4? (a) -1 (b) j (c) 0.008 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60230 - 550?\nAnswer: 56350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24 + -28 - (-4 + 1))*-7. Suppose -r*o + 288 = -559. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056366 rounded to four dps?\nAnswer: -0.0564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3184023 and 1263.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19323 by -9.\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1961170, -3922336, -5883502?\n\"Answer: -1961166*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 + -329. Let s = 116.4 + u. Let q = s - 11. Sort -5, q, 0.1 in ascending order.\nAnswer: -5, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/30 and 3\/10460.\nAnswer: 31380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 10 = -2*k, -k - 3*k + 15 = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:01 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 0.22. Let z = m + -1.3. Let g(u) = u**2 - 3*u - 1. Let k be g(1). Which is the second smallest value? (a) z (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h + 14*h + 16*h + 3 + 25*h.\nAnswer: 18*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*((-70)\/(-4))\/7. Let k be (-4)\/20 + (-11)\/g. Let t(c) = 0*c**k - 2*c**2 + 6*c**2. Let a(f) = 2*f. Determine a(t(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 19) + -10 - (-9 + -17).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385) + 1*sqrt(385)*1)\/(sqrt(7)*2*-6))\/(sqrt(5) - (sqrt(5) + sqrt(480)\/sqrt(6)) - (sqrt(80) + sqrt(80) + (-1*sqrt(80) + sqrt(80) - sqrt(80)))).\nAnswer: sqrt(11)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -203965, -203946, -203927, -203908, -203889, -203870?\n\"Answer: 19*x - 203984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.53238 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60.03 + -60. Let u = -8 + 4. What is the biggest value in i, u, -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 14*o**2 + 11*o + 16. Let v be n(-13). Suppose 8*m + v = 9*m. What is the remainder when m is divided by (-1)\/3*-9*(-15)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*i - 11*p + 12*p, 2*p + 12 = 2*i. Let f be -20*i\/(75\/(-5)). Solve 3 = -f*u - 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2 + -6*(0 + -3 + sqrt(13))))**2.\nAnswer: -3840*sqrt(13) + 13888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4736076*l - 9472143*l - 6*l**3 + 4736067*l.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**6 + 3*a**5 + 3*a**3 - 15*a**2 + 3. Let y(h) = h**5 + h**3 + 1. Let l(i) = -u(i) + 3*y(i). What is the third derivative of l(k) wrt k?\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -3\/7, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 789\/1052 + (-2)\/8\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 2358\/270) + (-2)\/3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 42? (a) 3\/7 (b) 0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5940 and 277736580?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1924.\nAnswer: 7696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6017 + 6036.928. Round i to one decimal place.\nAnswer: 19.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51\/(-2)*16\/(-12).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*d - 21 = 0, 5*j - 3*d + 5 = 2*d. Suppose -95 = -j*v - v. Suppose -v*k = -16*k - 627. Round k to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**3 + 145669*g**2 + 2717512*g?\nAnswer: -18*g + 291338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 14*o = 8*o. Suppose 5*i + 4*p = 9678 - 3004, o = 5*i + 2*p - 6682. List the prime factors of i.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -8. Suppose 13 = -3*n + 2*i, 2*n + r*i - 5 + 1 = 0. What is the units digit of 4*n*3\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/26 - 359\/962. What is the smallest value in 2, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 8:16 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzzfzzfzzff. Give prob of sequence zf.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(77) - sqrt(77)*2*-3) + sqrt(77) + sqrt(77))\/(-1*sqrt(7)*3) - (sqrt(11) - sqrt(1100)*-2 - (sqrt(1100) + 1 + sqrt(11)))).\nAnswer: -5 + 65*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12149909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265109713?\nAnswer: 11, 17, 1417699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 0.2. Suppose -5*l = -4*z - 3, 0*z - 5 = z + 3*l. Which is the second smallest value? (a) w (b) -6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 83 = k + 2*q - 3*q, -14*k + 4*q = -82 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32112312101 (base 4) to base 14.\nAnswer: -6dd809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 56*h + 2*h**5 + 4*h**2 - 4*h**4 - 56*h - 1. Let d(t) be the first derivative of t**6\/6 - t**5\/5 - t - 28. Let f(u) = -3*d(u) + 3*x(u). Factor f(v).\nAnswer: 3*v**2*(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(4625\/(-3330))*2\/3*70?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -276753, -1107013, -2490781, -4428057, -6918841, -9963133?\n\"Answer: -276754*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 64 + 28. What is the least common multiple of 99 and a?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/12)\/(q**40*q))**(15\/4) assuming q is positive.\nAnswer: q**(-2455\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*t - 187*t = -25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6435 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*i = -331*i - 3 + 3. Let v = -4\/63 + 265\/1197. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*a - 106 = 0, 4*x - 5*a + 27 = 3*x. Let w be x*4\/72 + 3. Which is smaller: 2\/3 or w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a + 85*a + 13*a = -1044 for a.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25d0a - -5b?\nAnswer: -25c8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 86 = -3*t. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 7*j**2\/2 - 3*j - 36.\nAnswer: (j - 3)*(j + 4)*(j + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -1820*t - 90889. Calculate c(-50).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 19 = 3*a - g, 2*a + 3*g - 6 = 0. Let z = a - 3. Suppose 8*k = z*k + 20. Solve -i = k*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l - 1 + 42*l + 327*l - 3*l**2.\nAnswer: -3*l**2 + 401*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1. Suppose q - 8*f + 3*f + 22 = 0, q - 18 = -5*f. Let n(t) = 2*t + 9. Calculate q*n(l) + 18*m(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + -1.7. Let z be (-1)\/5 - (-4)\/10. Sort -3\/4, z, x in descending order.\nAnswer: z, -3\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2697235035?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (2 - (4 - 7)) - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*78\/27*(-168)\/(-112))\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218*s - 4 + 4 + 456*s - 138*s to the form m*s + f and give m.\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 701.167203 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d - 4*d - 47 = -10*d - 761 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 15*q - 28. Let m be j(17). Let t(g) = 4*g**2 + 2*g + 29. What are the prime factors of t(m)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*j**2 + 72*j**2 + 48*j**2 - 56*j**2 + 37*j**2.\nAnswer: 155*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 2:07 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2. Let u = -10 + 13. Let m(t) = -u*t + 0*t + 2*t - t. Determine m(z(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8737724 to the nearest ten thousand.\nAnswer: -8740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3703 + 11274. List the prime factors of r.\nAnswer: 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/5 (b) 35 (c) -19415\/2 (d) -2\/7 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.44 (c) 5 (d) 1\/11 (e) 137.554\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 2*o**2 - 2. Let q be h(-4). Let d = q - 20. Let m be -3 + 8 - (-4)\/(-2) - -87. Calculate the highest common factor of m and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 + 0*l**2 + 0*l**6 + 0*l**5 + 0*l**3 - 43\/12*l**4 - 31*l - 11\/14*l**7. Find the third derivative of z(a) wrt a.\nAnswer: -1980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 471\/(-21) - 8*2\/28. Let c = g + 16. Let h(w) = -2*w - 9. Give h(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/493430 and -109\/3430.\nAnswer: 3454010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39832 + 431966. Let s = -392134.330058 + d. Let k = 0.33 + s. Round k to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 920703535 to the nearest integer?\nAnswer: 973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**3 - 5*w**2 - 3*w - 5. Let r(u) = u**3 + 3*u**2 + 2*u + 3. Let t be (-5)\/(3\/3*-1). What is t*r(c) + 3*p(c)?\nAnswer: -c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2207, 2197, 2187, 2177, 2167, 2157?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 114 = 3*s. What is the smallest common multiple of s + (-2 - 2) + 3 and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -471, -3, -5, 2, 80 in ascending order.\nAnswer: -471, -31, -5, -3, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 19. Let q(v) = v**3 + 4*v**2 - 7*v - 6. Let j be q(-5). Solve l*r = j*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91565 to the power of 1\/2, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - m = 17, -5*k + 32 + 3 = 5*m. Let g be (k\/(-102))\/((-4)\/12). Let s = -68 - -67. Is g less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*m - 2*m = 0, -h = 2*m - 12. Suppose 3*t - h = -0*t. Is t\/(-4) - 20943\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -101013, 110, -3 in descending order.\nAnswer: 110, -3, -101013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -399\/4 + 100. Which is the nearest to -0.12? (a) t (b) 1\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (90\/27)\/((-20)\/(-48))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95115714 + 95115714 + 38750*g.\nAnswer: 38750*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1469)\/(-273) - 6)\/(46\/(-61)) - (-135)\/(-162)?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = -q. Solve 0 = 3*j - 2 - q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let z(f) = 3 + 112*f**2 - 111*f**2 - 1. Determine z(t(g)).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - 1825. Suppose 0 = -2*u + 3 + 1. Let y(h) = -4*h**u + 0*h**2 + 5*h**2. What is y(k(n))?\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 13*n + 4. Let y be (((-24)\/(-16))\/((-9)\/144))\/(-2). Determine j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 207 and 33?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -4)*(-11)\/((-330)\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 5*z**4 + 4*z**4 + (21*z + 6*z + 0*z)*(0*z + 4*z - 6*z)*(3*z**2 + 0*z**2 + 0*z**2) to the form b*z + n*z**2 + s*z**4 + r*z**3 + w and give s.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -5*t**2\/2 + 6*t - 162. Let d be (-6)\/(-3) - (-4 + 3). Let u(k) = -k + 1. What is d*u(w) - z(w)?\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 1\/((-212)\/108 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 637208 divided by -5?\nAnswer: -637208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -6, -5, 4, -4 in decreasing order.\nAnswer: 11, 4, 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878130776?\nAnswer: 2, 1087, 100981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 0*u**4 + 1\/24*u**6 + 0*u - u**3 - 12*u**2 + 0*u**5 + 0. Differentiate n(x) with respect to x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 55692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 8 = -4*c, -5*c + 10 = b. Let x(o) = o**3 + 3*o**2 - 6*o - 3. Let v be x(-5). Let s be (-2)\/(v*(-1)\/1). Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22836 and 396?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123209.107 rounded to the nearest ten?\nAnswer: 123210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/9)*d)\/(d\/d**(-5)))\/(d*d*d\/(d*d**(3\/2))*d*d**(-2\/11))*(d**(2\/19)*(d*d*d**(1\/2)*d*d)\/d)**21 assuming d is positive.\nAnswer: d**(129691\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2 = -2*w, -6 = -2*q - w. Suppose q*k - 5 = 9. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 16253506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -48, -46, -44, -42?\n\"Answer: 2*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68795 * -0.1\nAnswer: -6879.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.6 in -11\/2, 4, 5?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 687*v + 649*v - 1345*v - 18.\nAnswer: -9*v - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 6*v**2\/13 + 748*v\/13 + 496\/13 = 0?\nAnswer: -124, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*f + 15*f + 175 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -14*d + 16*d + 4*h, -2*h = -4*d + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 595884509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14227 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24995 and 50624873.\nAnswer: 253124365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6\/7*1036\/740\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -68*o**2 + 1147907*o\/4 - 70685 = 0.\nAnswer: 67\/272, 4220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -98324943 less than -4?\nAnswer: 98324939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + -67. Let o = b + 119. Let c = o + -34.99999913. What is c rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**4\/4 + 485*u**3\/6 + 81*u**2 + 7*u + 71. Let a(p) = 0. Calculate p.\nAnswer: -1\/3, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 1. Let f(j) = -j**2 + 3*j + 2. Let d = -433 + 1140. Suppose -d*z - 30 = -702*z. Calculate z*h(n) - 2*f(n).\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-6) + -4 + 14\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9038 * -0.4.\nAnswer: -3615.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 377, 384, 393?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32131200 + -10023?\nAnswer: -32201223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -801, 2, 0, 0.5, 5, -1.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126694 is divided by 375555?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 4*j**2 + 0*j**2)*(29*j + 12*j - 21*j)*(5*j + 2*j - 6*j).\nAnswer: -40*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-3 - -1 - -7 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - 91 - -36 - (2 - (-84 - 2)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/3 - 34*s**4\/9 - 62*s**3\/9 - 46*s**2\/9 - 4*s\/3 = 0.\nAnswer: -3, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 1662617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22090?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2243 + 7407 = 1291*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2 - 21. Let j(o) = -6*o**2 + 22. What is -3*b(c) - 2*j(c)?\nAnswer: -3*c**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-8 + 0 + (31 - 13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -1\/2, -6, 1\/4, 6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1327791*t**5 - t**4 - 351990*t**2 + 2*t wrt t.\nAnswer: 79667460*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 27*p**2 - 39*p - 23. Let b(x) = -27*x**2 + 38*x + 22. Let i(h) = -6*b(h) - 5*q(h). Is i(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 985 (base 10) to base 11\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -410 + 454. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 2*n**2 - 4*n**3 - 2 + 6*n**2 + 3*n**3 + 4*n. Let r = 8 - 4. Calculate a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*u + u**3 + u**3 - 4*u**3.\nAnswer: -2*u**3 + 282*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 8) to base 6.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 2. Let b(l) = 16*l**2 - 2*l - 20. Let r(g) = -b(g) + 10*s(g). Let u(a) = 9*a**2 + 5*a. Determine 14*r(c) - 6*u(c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -493\/27 smaller than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**3 - 6*c**2 - 11*c - 5. Let d(o) = 4*o**3 + o**2 - o - 2. Let h(j) = d(j) - z(j). Give h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*v + 80*v + 23 + 115*v - 16*v)*(-4 + 4 - 3*v**3).\nAnswer: -465*v**4 - 69*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*u = -247*u - 600 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*5*2*sqrt(720) - ((2*sqrt(720) - sqrt(720))*-5*4 + 1))**2*1.\nAnswer: 1920*sqrt(5) + 288016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 4*w + 2. Let c(q) = -q**3 - 3*q**2 + 5*q + 3. Determine -3*b(a) + 2*c(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/26)\/(8\/(-112)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o + 12*o + 19*o - 52*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, d: 3}. What is prob of sequence bdd?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v - 4 = 0, 3*v - 60 = -2*j. What is the greatest common factor of j and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -14, 5, -383, 0, -31 in decreasing order.\nAnswer: 5, 4, 0, -3, -14, -31, -383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1611.64 + 2848.\nAnswer: 4459.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/120 + 7*g**5\/60 - 3*g**4\/8 - 5*g**3\/3 - 30*g**2. Suppose -25 - 191 = 27*i. Calculate p(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1\/2, 0, -10, -184?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 31, 29, 37, 55?\n\"Answer: 5*o**2 - 27*o + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1104 and ((-1460)\/(-30))\/(5888\/6).\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 613202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*s**2 - 6*s - 24*s**2 - 14*s.\nAnswer: -5*s*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, w: 2, h: 11, o: 2}. What is prob of picking 2 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obcgpgcccngbbcc. Give prob of sequence ob.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 11. Let t(o) = -59 + 59 + 4*o**2 + o**y. Let q(d) = 12*d. Determine t(q(a)).\nAnswer: 720*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 o, and 1 v when four letters picked without replacement from oiijoijiv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 2. Let q be v(7). Suppose 2*g + 10 + 3 = n, 5 = -3*n - q*g. Suppose n*a - 25 = 15. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -6, -4 in decreasing order.\nAnswer: 4, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n + 26*n - 66 = 0. Let a be -7 + n\/(-3) + 607497\/9. What is a rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0912537 to 4 dps.\nAnswer: 0.0913","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 + (-11 - (0 - 5)). Suppose 0 = v*o - 3*o - 210. What is the greatest common factor of 6 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, -6 in ascending order.\nAnswer: -24, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 68 = 12*g. Suppose -f - 55 = -2*b + g*f, -3*b + 2*f = -55. Solve b = -3*c - 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22415969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 764242 to the power of 1\/2, to the nearest integer?\nAnswer: 874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*d**5 + 40*d**4 + 2475*d**3 + 1160*d**2 - 1045*d + 150 = 0. Calculate d.\nAnswer: -5, -1, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/(-6))\/((-15)\/41760*8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**3 - 1710*u**2 + 6780*u - 6760 = 0. Calculate u.\nAnswer: 2, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -5. Let i = s + 7. Suppose -r = a + 2, -2*a - 5*r + 1 - 11 = 0. Solve -i*c + c + 10 = a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21630 divided by 2.\nAnswer: -10815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25\/135)\/(45\/54). Let d be (4\/(-3))\/(-2)*3. Determine h, given that -2\/9*h**d - b + 4\/9*h = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 7*j - 538. Let o = j + 496. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6*(-4 + 4\/8) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**5 - 108*m**4 + 442*m**3 - 668*m**2 + 447*m - 112 = 0.\nAnswer: -112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 800\/6)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 26. List the prime factors of a\/5*(-1210)\/44.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124205761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2077551063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 2430?\nAnswer: 2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29954*d**2*n**3 - 29*d*n**2 - d*n - 7*n**3 - 16*n**2 wrt d?\nAnswer: 59908*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*s - 38 + 73 + 85 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -228 in 5, -1\/11, -1, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 0.0358464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/42317?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(210))\/sqrt(10) - (sqrt(1344)*-1 + sqrt(21)))\/(4*(sqrt(432) + sqrt(432)*1 - sqrt(432))))**2.\nAnswer: 7\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x**3 + 2*x**2 - 19*x - 26. Let p be z(-8). Suppose 2*j + 3*q - p = 0, -j = -3*q - 520 - 631. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3484 - 3492. Which is the second smallest value? (a) -71 (b) t (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -9.9. Let k = q + 0.8. What is the closest to k in 4, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-33)\/(-12) - (-6)\/(-8). Factor t + t**5 + 2 - j*t**3 - 2 + 1 + t**4 - 2*t**2.\nAnswer: (t - 1)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1072 - -553264?\nAnswer: 554356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/6432 and -127\/20904?\nAnswer: 83616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1357 is divided by 218?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/6*(-6)\/9. Suppose -f*k + 27 = -9. What is the smallest common multiple of 20 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(7 + (-57)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -192844, -385582, -578334, -771100, -963880, -1156674?\n\"Answer: -7*m**2 - 192717*m - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -437*r - 26. Determine d(1).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6254, 12509, 18764, 25019, 31274?\nAnswer: 37529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-20)\/8)\/(-5))\/(1\/5758) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -157, -8, -24, -4 in descending order.\nAnswer: -2, -4, -8, -24, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (196\/(-245))\/(4\/170) + -6. Let p(r) = -7*r + 5. Let g be p(-5). Let w = g + o. Is w greater than or equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 - i + 118. Calculate q(-27).\nAnswer: -2771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**2 - 72*a + 196. Determine r(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)\/(3\/12). Suppose b*n - 317 + 13 = 0. Suppose 0*r - 4*r = -n. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -779*q + 2. Let b be s(-2). Round b to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159.15 - -58687\nAnswer: 58846.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-10)*10\/4. Suppose -2*s + 1 = -r, -3*r = -r - h. Let v(y) = y + 1. Let g be v(s). Solve g*t + 16 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(2\/28). Let d = -4 + z. Suppose -t - v = -0*v, 4*v = 3*t. Solve t = -y - d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -943, -1096, -1249, -1402, -1555?\nAnswer: -1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 111?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 3 = i - 4*b, i + b - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.5. Let n = 0.149 + 0.051. Which is the nearest to n? (a) 1 (b) 2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 508*q - 50*q + 2 + 972*q + 2879*q**2 wrt q.\nAnswer: 5758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/4)\/s)**(10\/19))**(-3\/8))**44)**(-44) assuming s is positive.\nAnswer: s**(-9075\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + sqrt(2))*-6 + sqrt(2))*5)**2.\nAnswer: 110450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, 14, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001254021 rounded to 7 decimal places?\nAnswer: -0.0001254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 p when four letters picked without replacement from ppmpmpmpmpmwwppppm.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -92 + -67 + 171 + -72?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 4*w = 6*w + 10, -18 = 2*y - 2*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 49 - 119. Let s = 96 + k. Suppose 34*r - s = 28*r. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 - 3*l**2 + 2*l. What is the tens digit of v(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-837)\/(-248)*-8 - (-734)\/28)*(-1 + 0)?\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -5. Let q be (1\/u)\/((-3)\/(-30)). Let c be q + (4 - 2) + 13. Solve -b = b + c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c9 + -192046?\nAnswer: -191c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -12)*39\/78. Which is bigger: m or 61\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1022 divided by 6.\nAnswer: -511\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 30 - 10. Let o(h) = -h**2 + 10*h - 13. Determine o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -830 - -1221. Calculate the remainder when b is divided by 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 5*i + 5*i - 2*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95447 is divided by 10430?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42674 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(25) - (2*sqrt(625) + sqrt(625) + sqrt(625)))\/(sqrt(10)\/sqrt(128))*-4 + -5.\nAnswer: -4 + 608*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*c**3*o - 2*c**3 - 6717*c*o + 7696867*o - 1 with respect to c.\nAnswer: 33*c**2*o - 6*c**2 - 6717*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 2*i + 10. Suppose d + 50 = -4*d. Let w(r) = -r + 25. Let o be w(d). What is the greatest common divisor of i and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpidmwh. What is prob of sequence wmd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -5*a**4\/6 - 9703*a. Let o(w) = -1102*w. Give o(v(u)).\nAnswer: 11020*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 602.8989843 + -602.9. Round b to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 - 10*h**3\/3 + h**2\/2 + 10*h - 12. Does 37 divide m(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371545 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006608681431 rounded to seven dps?\nAnswer: 0.0006609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aikk when four letters picked without replacement from aqakkciaigaqgik?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*f - 7900 = 176*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2*v + 0*v)*(15*v - 2*v - v)*(4*v**3 - 35*v**3 - 234*v**3).\nAnswer: 3180*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 420767?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q - 2*v - 16, 3*q + 5*q + 4*v - 10 = 10*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602 divided by -7431?\nAnswer: -2602\/7431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5 + 3. Let v be 4\/(-10) + n\/30. Which is greater: v or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(1\/3) - (-17 + 15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - -2858 - (1 - 0 - -3). Let i = s + -1446. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 93 - 93. Is 1\/67 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*f**2*s**2 + 2*f**2*s - 7*f*s**2 + 2*f + 5*s**2 wrt f?\nAnswer: -108*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 0*b + 127 + 122 - 249.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {t: 4, k: 2, p: 4, w: 5, m: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 318*s**3 - 40*s**4 - 318*s**3)*(-2*s + 2*s + 2*s).\nAnswer: -80*s**5 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26169*o**4 + 3*o**3 - 430412*o**2 wrt o?\nAnswer: 628056*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195 smaller than 2201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, s: 3}. Give prob of picking 1 h and 3 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3597275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6\/6*(-20)\/((-3240)\/(-27))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-48) - 1330\/(-12). Factor 56*s**4 + 51*s**4 - 2*s**2 - k*s**4 + 6*s**2.\nAnswer: -4*s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257*f*w*y**3 - f*y**2 - w**2*y**3 + 520483*w**2*y**2 - 640*w*y**3 wrt y?\nAnswer: -1542*f*w - 6*w**2 - 3840*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -78. Is u at least as big as -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*s - 125 = 0, -5*g - 25 - 95 = -2*s. Let i = g - -13. Let y = 1 - i. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*d + 71 = 60 - 165 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -b + 3*r, 0*b = 4*b + 2*r - 14. Let l = b - -11. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**4 - 2*l**3 + 2*l + 13. Let z(u) = -13*u**4 - 3*u**3 + 3*u + 13. Let f(m) = 3*a(m) - 2*z(m). Differentiate f(h) with respect to h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*j**2*r - 64*j**2 + 12*j - 86831*r - 5 wrt j.\nAnswer: -50*j*r - 128*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2812920 a multiple of 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3220653377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4\/3 (b) -32 (c) 3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2605 - 2548. What is the remainder when m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17920 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 21. Let c = -13 - -8. Sort c, f, 0 in decreasing order.\nAnswer: f, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 5 - -6 - 8*-2. Let c = 42 + -21. Let p = c - o. What is the greatest common divisor of p and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 175201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 851*u. Let n(l) = -1027*l. Give y(n(a)).\nAnswer: -873977*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12313321031 (base 4) in base 6?\nAnswer: -102341405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 26*m**2 - 27*m + 35. Let q be u(12). Let r(c) = -25*c - 5. Let t be r(q). Solve -b - 2*b = -n - t, -4*n + 2*b - 30 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1453056 - -1451414.347. Let z = 1644 + a. What is z rounded to one decimal place?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:13 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. Let l(n) = -3649*n**2 + 3654*n**2 + n**3 - 3*n - 4 + 6 - 2*n**3. What is l(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33736*i**4 + 62*i**3 + 27367649*i wrt i?\nAnswer: 404832*i**2 + 372*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 23*n - 37. Give q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {y: 2, q: 2, m: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/12)\/((-15)\/14*12152\/3472)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*h - 2. Let w be 0\/((-2)\/h*-3). Is 1\/3 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-658)\/(-21))\/((-32)\/2247). Suppose -8*u + 3*u + 10975 = 0. Let r = u + h. Calculate the common denominator of 85\/8 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 6) to base 7.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -496784.447 + 496220. Let o = -164 - -729. Let s = d + o. Round s to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/(-12) + (-2)\/(-8). Let d be (6\/4)\/(-3)*l. Suppose -6 = 2*m - 6*m + 3*y, -5*m = -4*y - 7. Which is the biggest value? (a) d (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(2 + (-1)\/1). Suppose q = -m + 8 + 37. Suppose 0 = 4*g + m - 217. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2890*m**2*y**2*z**3 + 1240*m**2*z**3 - 2*m*y**2 + 1267*m*y*z**3 - m*y - 811*y*z**2 wrt m.\nAnswer: -5780*y**2*z**3 + 2480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 22 = 5*t, -7 = -2*t + t + 3*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -2*o - o - 11, 4 = -2*o + 2*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((0 + -5 - 0) + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(8\/(-7 + 15)). Sort m, 14, 2 in ascending order.\nAnswer: m, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of 5*j**7\/42 + j**4\/12 - 4*j + 2. Let i(l) be the first derivative of g(l). What is the third derivative of i(m) wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 6*y + 5. Let d(p) be the third derivative of -p**5\/12 + 13*p**4\/24 - 11*p**3\/6 + 7*p**2. Give 4*d(m) + 9*j(m).\nAnswer: -2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 16 - 39 - 6*j**3 + 23.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(12)\/sqrt(3)) - sqrt(225)\/sqrt(5)) + 2.\nAnswer: -2*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -66. Let k be 18\/(-21)*(j + (-15)\/(-12)). What is s in 9*s**2 - 6*s + k*s**4 - 6*s**3 + 3\/2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -369 - -409. Calculate the highest common divisor of l and 1560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 15) to base 11\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9760 and 39296.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) + (-135)\/(-140). Suppose 5*j = -o + 1, -4*o + 0 + 4 = 5*j. Suppose -c + 4*c - 6 = j. Is x at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 o when three letters picked without replacement from heeeeeehoeoee.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2680 = 635*n - 18555 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 3*y**2 + 3*y**2 + 117*y**3.\nAnswer: 117*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(-5*(-7)\/175).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (-2 + 0))\/(-2). Let i(f) = -s*f**2 + f - f. Let n(r) be the second derivative of r**3\/6 + r. Give i(n(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 258633 - 2a?\nAnswer: 258608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 71 - 189 = 68. Solve 3*p = -p - 3*q - k, 0 = -4*p - 5*q - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, -5, 391 in ascending order.\nAnswer: -5, 3, 4, 5, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121811*b**3*g**2*s**3 + b**3*g**2*s + 15*b**2*g**2*s + b**2*s**2 + 55*b*s - 2*s**3 wrt b.\nAnswer: -730866*g**2*s**3 + 6*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10684 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 27*s**3 - s. Let w be o(1). What is the highest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**2 + 5*l**2 - 3*l**2)*(2*l - 3*l + 2*l) to t*l**2 + k*l**3 + j + x*l and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/606 - 14321\/1818. Calculate the common denominator of (11\/(-8))\/(2\/6*-1) and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (-6 + 24)\/(-1)*2\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 88?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165 + -167. Let d(w) = -13*w - 21. Give d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/117)\/((-38)\/24 - -2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1292 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - a)*(1 - 1 - 2) + ((-2 + 1 + 6)*(-5 + 4 + 0) + (-2 - 1 + 4)*(-5 + 0 + 3))*(-5*a + a + 3*a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -23*d**2 + 5*d + 4. Let m(g) = -18*g**2 + 4*g + 3. Let i(l) = -9*m(l) + 7*o(l). Let q(u) = -5*u**2 + 32*u - 4. Calculate -4*i(n) - q(n).\nAnswer: n**2 - 28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014083247608 rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -31. Suppose -2044 = -r*y + 3437. List the prime factors of y.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -4*y + 1\/3*y**3 + 0*y**2 + 0. Let n(q) = -4*q. What is o(n(h))?\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 258, 1342, 4288, 10026, 19486, 33598, 53292, 79498?\nAnswer: 113146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.147 - 0.647. What is the closest to -32 in -0.4, x, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1713265*i**4*m + 438*i + 1247*m wrt i?\nAnswer: -20559180*i**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + -2 + -4 + (-14)\/(-7). Suppose -3*u + u = 0. Suppose -k - y*k = -4*o + 121, -4*k - 4 = u. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*o - 28 = -4*j, 4*o - 10 = -j. Suppose -9 + 27 = j*f. Suppose f*q + 14 = -3*v - v, 4*q + 2*v = -2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 121, -6 in increasing order.\nAnswer: -6, 30, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 5, -42, -1738, -4 in increasing order.\nAnswer: -1738, -42, -10, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 171527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjzuujwbu. Give prob of picking 2 u and 1 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391*f - 194446 = -657*f. Which is smaller: 737 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-3\/8)\/s**8)\/(s**(-6)*s**(2\/11)))**(-9\/4))**(-42) assuming s is positive.\nAnswer: s**(-42525\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k + 25. What is u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 704.4 - 704.3991666. What is i rounded to 5 dps?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - s - 8, -3*h + 4*s = -4 - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 468\/116 + 8\/(-2). Let z = h + 24\/145. Let p = 0.2 - 0.1. Sort 3\/8, p, z.\nAnswer: p, z, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 11\/27?\nAnswer: 11\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10138, -40455, -90816, -161083, -251118?\nAnswer: -360783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2\/5 + 72576*c\/5 - 56813427\/5 = 0 for c.\nAnswer: -24951, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 1. Suppose 3*c - 1 = -4*y, -2*c - 1 = 3*c + 4*y. Give l(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1011 and 147.\nAnswer: 49539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 602, 1062, 1384, 1382?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161\/(-414)*9*128\/7 + 6.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 785 + -389. Does 38 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 - -339\/5. Let r = -0.03 + -0.04. Let j = r - -0.17. What is the nearest to -2\/5 in j, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82242 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 19 + 5*i)*(i + 0*i + 0*i) - 3*i**2 + 2*i**2 + 2*i**2 + (2*i + 3*i - 4*i)*(4*i - 4*i + 2*i) to l*i + h*i**2 + o and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 548, 1, 4, 0, -5 in descending order.\nAnswer: 548, 4, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4472576*b**3*j**2 - 3*b**3 + 651781*b*j wrt j?\nAnswer: 8945152*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 728, 724, 710, 680, 628, 548, 434, 280?\n\"Answer: -y**3 + y**2 + 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*b - 15 = 0, -6 = m - 0*b + 2*b. Solve -2*y + m*w = 5*w, 3*y - 5 = -5*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6903.\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 4*t + 26, -5*t - 3 - 10 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -12137547, 3\/7, -5, 2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -6*w + 35. Suppose 3*g - w*g = 0. Solve m + 5*u + 7 = g, -4*u = -2*m + 9 + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*r**4 - 4*r**3 + 162*r**2 - 25.\nAnswer: 4368*r - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25525948 is divided by 4398?\nAnswer: 4354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 13*q**3\/3 - 5*q - 100. Does 4 divide z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 3*l**2 + l. Calculate h(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -68. Suppose 10*s + 4 = h. Solve -4 = -q - s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -59, 234, 779, 1660, 2961, 4766?\nAnswer: 7159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -175 + 102. Suppose 5*f + 5*o = -380, 0 = 110*o - 113*o - 6. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 549251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0437 + -9794.\nAnswer: -9793.9563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from gfyyhqzgfffgqgfgz?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 419908012 and 14?\nAnswer: 2939356084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k**2 + 4*k - 10. Let m be h(3). Suppose 14*z = 2*q + 16*z - m, 4*z + 6 = q. Sort -3, q, -4 in ascending order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101642775 and 650.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8483117508?\nAnswer: 2, 3, 23, 10245311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/107322 and 17\/1824.\nAnswer: 32625888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 533316 and 533316?\nAnswer: 533316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 533750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z + 15. Let m be (z - (-164)\/56)*2698. Let f = 193 + m. What is the closest to 3\/5 in f, -3\/5, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*s**3 - 2*s + 208*s**3 + 191*s**3 to x + g*s + c*s**2 + p*s**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238815*q + 2*s = -238813*q + 2, s = -q + 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 - 25 + 28)*(3*s**4 - 3*s**4 - s**4) to p*s + n*s**3 + m*s**4 + f + v*s**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnsg. Give prob of sequence nsg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 5*p**2\/2 + 57288*p.\nAnswer: -p*(p - 336)*(p + 341)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 at most 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4605 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -21, 2 in decreasing order.\nAnswer: 2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 6)*3\/5. Suppose -b*h + 17 = -43. Find the common denominator of 19\/6 and (2\/35)\/((-2)\/h).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 3513.\nAnswer: -6323.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25122 or -25123?\nAnswer: -25123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 47424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)\/f)**(12\/11)*f**6\/(((f\/f**8*f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(691\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5284831011 to the power of 1\/2, to the nearest integer?\nAnswer: 72697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 846329508 to the nearest integer?\nAnswer: 29092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/6*(-4)\/110?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*i = -879, 3*i = -4*g - g + 876. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 69. Suppose j = p - 112, 4*j + 563 = 5*p - i*p. What are the prime factors of p?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 26 = -2*w, 0 = 8*w - z + 52 - 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(18) - sqrt(1458)*-3))\/((sqrt(90) + sqrt(90)*1)\/sqrt(10) + sqrt(81)*6).\nAnswer: 28*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 375108*r + 7877709.\nAnswer: -(r - 375129)*(r + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 5*t + 5*v, 0*t - 5*v - 49 = 3*t. Calculate the remainder when (-237)\/t - 15\/(-40) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (-19 - (-20 + 8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79099633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7199433 is divided by 2631?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28176018.\nAnswer: 2, 3, 13, 37, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -533*v - 3192. Let z = 21 - 13. Calculate the lowest common multiple of r(-6) and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3106 = 113*y - 354*y - 4606 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**5\/10 + 3*m**4\/4 + 9*m**3\/2 + m**2 - 18*m + 52. Suppose i(w) = 0. What is w?\nAnswer: -2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -42\/13, 0.019, 3, 1\/2?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 8*p - 8. Let j be w(-10). Let k = j - -216. Suppose 9*g - k = 205. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**4 + 1937*r**3 + 9*r**2 - 71*r + 106847218 with respect to r.\nAnswer: 4*r**3 + 5811*r**2 + 18*r - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28810 - -40487. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from ynnnnknnn.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5284, -5363, -5448, -5539, -5636, -5739, -5848?\n\"Answer: -3*b**2 - 70*b - 5211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oq when two letters picked without replacement from cccxicccoqqcco?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 - 141. Solve 0 = v*n - 21 - 23 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*w - 4493 - 6547. Let i = w + 415. Calculate the least common multiple of 90 and i.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r - 7. Let j = 73 + -49. Let c(z) = -z + 1. Let m = 957 - 954. What is j*c(n) + m*u(n)?\nAnswer: -3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16972 is divided by 547?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2531, 20967, 70999, 168425, 329043?\n\"Answer: 2633*y**3 + 5*y - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (9 - (30 + -12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171\/(-6)*(-4)\/(-6) + 63220\/3364?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -5, -0.2, 1\/3, -175.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:34 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/133432 and -1\/12?\nAnswer: 400296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 0. Let u(o) be the third derivative of 0*o + 0*o**7 + 0*o**4 - 1\/1176*o**8 + 0*o**3 + 1\/420*o**6 + 0 + 3*o**2 + a*o**5. Factor u(j).\nAnswer: -2*j**3*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6463698.\nAnswer: 2, 3, 71, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.12000884 rounded to three dps?\nAnswer: 4.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -249\/4. Let t(z) = -z**3 - 10*z**2 + 10*z - 10. Let w be t(-11). Which is the nearest to 2? (a) m (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2736) - (-2 + -2*sqrt(2736) - sqrt(2736)))**2*1.\nAnswer: 192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 161713 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.9 + 8.9. Which is the closest to -3\/5? (a) -3\/8 (b) 1\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:19 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * 57.\nAnswer: 8.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 69, 76, 67, 36, -23?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82534 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(-1)))\/u)\/u*u*u*u**(-3))\/((u\/(u\/u**(4\/3)*u))\/(u\/(u*u**5))) assuming u is positive.\nAnswer: u**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 12:25 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/2 - 10350448*l + 53565886900352 = 0.\nAnswer: 10350448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -3217 and -13.6.\nAnswer: -3230.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545074 is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(32) - (-3 + sqrt(2)*-2))**2*-4.\nAnswer: -5444 - 624*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 136117\/570 - 1193\/5. Calculate the common denominator of q and -15\/16.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 21*x - 46. Let b be v(-23). Suppose -5*o - 11 - 24 = b. Let a(h) = h**2 + 6*h + 4. Determine a(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 9*n**2 - 8*n - 4. Let o(l) = -6*l**3 + 45*l**2 + 39*l + 21. Let z(t) = 11*i(t) + 2*o(t). Let j be z(-7). Let h = -26 - j. Is 4 != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*o**3 + 27\/5 + 21\/5*o**2 + 9*o.\nAnswer: 3*(o + 1)*(o + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9*w**3 + w - 1. Let i be y(1). Let v = 28 + i. What is the remainder when 55 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 391, 794, 1197?\nAnswer: 1600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(26*c - 48*c + 11*c) to the form v*c + y and give v.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - 83\/(-4)) + 6\/(-8). Solve 5*x - 5 = 0, 5*m + q = 23*x - 20*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 58*m**2 + 20*m + 131. Let z(w) = -3*w**3 + 86*w**2 - 28*w - 196. Give -7*b(o) - 5*z(o).\nAnswer: o**3 - 24*o**2 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**2 + 18*q - 2. Let c be z(8). Calculate the lowest common multiple of (-28)\/(-49)*c\/4 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 384 - 176. Calculate the greatest common factor of l and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*l + 7 = -0*l, 0 = -5*u + 2*l + 27. Suppose 5*p = 0, u*n - 3*p = -13 + 23. Solve -n*d + 4 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 - n + 1. Suppose -5*y + 16 = -69. Let b = y - 11. What is q(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -725, -690, -657, -626?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1832*b**4 - 3286*b**4 + 1782*b**4 + 0 + 0 + 2*b**4 + (-b + 2*b**3 + b)*(3 - 3 - 2*b).\nAnswer: 326*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(54)\/sqrt(2)*3)\/(sqrt(36)\/(sqrt(4) + (2*sqrt(144) - sqrt(4)))).\nAnswer: 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 542549509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100631056?\nAnswer: 2, 41, 131, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3197 + -3187. Let g = 3 - 0. Suppose q - 2 = g. Calculate the lowest common multiple of o and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 7*p**5\/80 - p**4\/4 + p**3\/8 + p**2\/4 + p. Factor o(r).\nAnswer: (r - 1)**2*(7*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - o**2 - o + 43. What is the remainder when i(0) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -1\/105*v**7 + 9\/2*v**3 + 0*v - 255*v**2 + 0 - 7\/20*v**5 + 13\/120*v**6 - 3\/8*v**4. What is g in k(g) = 0?\nAnswer: -1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 6 = -4*b, 2*b - 1 = 3*z - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13195100 and 1932.\nAnswer: 277097100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -97647 and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91535*n*w**3 + 2*n*w**2 - 1917593*n*w - 29*w**3 wrt w.\nAnswer: -549210*n*w + 4*n - 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.2, -4\/3, 21\/81685?\nAnswer: 21\/81685","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4245 is divided by 1053?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - -2) + -6 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -534 (b) -0.3 (c) 3 (d) 0.1 (e) 1 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360448 rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n. Let k be i(-2). Let f be (-94)\/k + 2\/7. Let y = 33 - f. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = -15*q + 222 - 168 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9226441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 7*p + 19. Let i = 17 - 19. Calculate the common denominator of -27\/10 and p\/(-10) - ((-801)\/(-165) + i).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202095 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -470190352\nAnswer: -470190352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -7. Let r be (-168)\/(-44) - l\/11. Solve -5*d + 3 = r*i, -4*d - d = 2*i + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61560\/32587 + -1895460887\/78404322. Let l = w + 48\/401. Let d = -63329\/36 - -1756. Find the common denominator of d and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 10*p**2 + 10*p - 4. Let n be l(-8). Suppose 5*g - 3*g = n. Suppose 5*v + 2*i - 38 = -2*i, v - 4*i - g = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.22, 3, -12, -3, 22, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-1 - (8 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50434593.\nAnswer: 3, 11, 1528321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 92*m**2 + 188*m + 127. Let c be b(94). Solve 0 = -c*y + 130*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**2 + o. Suppose 0 = 3*h + 6. Let m be (10\/(-4) - -2)*h. Let n be f(m). Solve n*t - 2 = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 * -17.147\nAnswer: -514.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 4*a. Let s be d(-2). Sort -4, 1, s in decreasing order.\nAnswer: s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((516\/480)\/43)\/((-10)\/(1320\/(-121))).\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.49084242 and 1.\nAnswer: 1.49084242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 7*v - 2*v + 5, -4*x + 3*v = -11. Let w = x - 2. Sort 5, -6, w in decreasing order.\nAnswer: 5, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfmbbbmffbbbkbmkmk. What is prob of picking 1 m and 3 f?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11499469327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.117, 0.3, 2\/5, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119.4 - -119.44. What is the closest to -1\/6 in g, 17\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4711, -4769, -4777, -4717, -4571, -4321?\nAnswer: -3949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24676 divided by -124\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c - 169100 = -124*c. List the prime factors of c.\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 0.1 (c) -0.5 (d) -1 (e) -787\/5 (f) -61 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in millimeters?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78961 - 220741. What is s rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6889 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -63. Suppose 3*p - 24 = y. Suppose 0 = -2*q - p - 25. Sort -3\/5, -0.4, q, -0.1 in increasing order.\nAnswer: q, -3\/5, -0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - -30. Let j = q - -5. Suppose -l + 13 = -5*s, s - 6*s - j = -4*l. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 21\/(-15))\/(-5 + 3270\/650)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -7*x + 11*x + 139, -90 = 3*x - a. Let h = 29 - x. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 282 + -98. Let q = -223 + a. Which is greater: -40 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 4:55 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from powooopowwwoopwpo. What is prob of picking 2 p and 1 w?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 61*q + 25*q.\nAnswer: 87*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(1\/24))\/w)\/w*w*w)\/(w\/w**17))**(-1\/6) assuming w is positive.\nAnswer: w**(-407\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 11 - 6*a - 3 + 0*a. Let g be b(6). Find the third derivative of 10*x**6 + 4*x**g + 105*x - 105*x wrt x.\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 14, -4, -6, 1\/2, 1\/6 in descending order.\nAnswer: 14, 1\/2, 1\/6, -0.09, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 175*a**2 - 17*a + 1. Let o(h) = 353*h**2 - 41*h + 3. What is -2*o(j) + 5*y(j)?\nAnswer: 169*j**2 - 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.005895358 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1202 divided by -1.\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 11:32 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -68. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -105*w**5 + 74376*w**4 - 25173*w**3 - 222918*w**2 - 72288*w + 50976 = 0.\nAnswer: -1, 12\/35, 2, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in -0.3, -3, -4, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -977 (b) -2 (c) -0.1 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 20, 82, 202, 398, 688?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -12.8?\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z - 26. Let l be a(4). Suppose -9*n = -l*n + 75. Solve -6 = -u + n*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -780*z**2 + 26*z + 26. Let g(o) = -o - 1. What is 26*g(t) + r(t)?\nAnswer: -780*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-6))\/(-1))\/((-11)\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2\/4 + 3580*n + 7402995\/4.\nAnswer: 5*(n + 677)*(n + 2187)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*c - 18, c - 15 = -4*z + 6. Solve 7*h - 5*h = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345 - 429 = -10*l - 674. Let r(s) = 4*s - 2. Let g(p) = -p. Calculate l*g(x) + 2*r(x).\nAnswer: -2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -482 + 482 - 289*w**3 + (4*w + 2*w - 2*w)*(-2*w**2 - 4*w**2 + 3*w**2) to the form o*w**2 + n + s*w + b*w**3 and give b.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/36 - 8*p. Factor k(c).\nAnswer: -c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5 + 22*k - 10*k - 2*k**2 + 10*k. Let t be f(11). Let v = 2 + -2.5. Which is the closest to -0.2? (a) 0 (b) t (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 + (-320)\/50 + 1820244\/60.\nAnswer: 23, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, 1\/8, -5, -37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q + 2, 3*q - 10 = -4*y. Suppose -4*k - 13 = 3*v - 32, 0 = 4*v + y*k - 32. Calculate the remainder when 33 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 12:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a factor of 11642717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/720 + 7*n**5\/120 + 49*n**4\/48 + 343*n**3\/36 + 22*n**2. Factor g(p).\nAnswer: (p + 7)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 7*s**4\/8 - 265*s**2. What is y(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/308)\/(5\/(220\/8))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 310 divided by -142\nAnswer: -155\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4032 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 199718331?\nAnswer: 1597746648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 - (-2 - -1) - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (291\/(-17 + 114))\/(1*3\/(-33)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 0*z**2 - z**2 + (14*z - 11*z - 4*z)*(0 + z + 0).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((24\/20)\/((-12)\/(-20)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17 - ((-20)\/(-8) + -3)*0. Let h = 117 + n. Suppose -h*b = -135*b + 2. What is the smallest common multiple of 20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 256?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j + 4. What are the prime factors of l(2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*q - 10, 2*v + 9*q + 70 = 90 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -11.1. Which is greater: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -177, -190, -219, -270, -349?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/3 + d**3.\nAnswer: -d**3*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/4 + 12971*w**2\/4 + 9730*w + 6487.\nAnswer: -(w - 12974)*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**9*y*y*y\/((y**(-5\/4)*y*y)\/y))**16)**(3\/38) assuming y is positive.\nAnswer: y**(294\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-6)\/(-27)*6. Let o = -22 - -110. Suppose -368 = -c*q - o. What is the highest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17 (b) -0.3 (c) 156.3 (d) -1\/4 (e) 1\/5 (f) 3\/8 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 3*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72837*x**2 + 112*x - 957?\nAnswer: -145674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 12) + (20 - (-24 + 27) - -6) - -119.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 977\/28 + -35. Let p = 13\/140 - t. Which is the biggest value? (a) -1 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n - 2 + 13*n + 3 + 1 - 89757*n**2 + 89759*n**2 in the form j + g*n + d*n**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-7))\/(3\/7). Find y such that -2\/3*y**3 + n*y**2 + 4\/3*y + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 275 - 3?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 246234 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1930 and -113\/481350.\nAnswer: 92900550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 5305864?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -16*j + 13. Let p be r(-5). What is the highest common factor of p and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a factor of 45250940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -337684, -675367, -1013050, -1350733, -1688416, -2026099?\n\"Answer: -337683*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 87775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1002011?\nAnswer: -1002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + b + 18 - 9*b - 12.\nAnswer: -5*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 86925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -9905\nAnswer: 19810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 2 + 2 + 4 + h + h**3 in the form s*h**2 + o*h**3 + m + t*h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - w - 1. Let q be b(-1). Let a = 26 - q. Calculate the highest common factor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361080589?\nAnswer: 43, 8397223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose 4*j - 5*b = 45, -l*b + 5*b + 30 = 3*j. Let n(h) = 96*h + 590. What is the remainder when n(-6) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8791874 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 338 + 89. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 90564?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 6*u**2 + u - 10. Let s be x(2). Solve -5*t - 33 = -n - s, 3*n = 2*t + 10 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -11*s**4\/24 - 28*s**3\/3 + 16*s**2 + 2. Let o be b(-11). Calculate the greatest common factor of o and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -11*d**3\/3 + d**2\/2 - 2*d - 736. Let r(n) = -n**2 - 1. Determine -q(u) + 4*r(u).\nAnswer: 7*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64209 and 612.\nAnswer: 770508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ippzpqmzdzqzzmmqz. Give prob of picking 1 z and 2 p.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - -2. Suppose -4*z - 4 = -h*z. Differentiate z + f + f - f with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 179 = 491*w - 493*w, 3*h + 537 = -4*w. Is -1254\/7 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -211 (b) -11\/6 (c) -8\/3 (d) 4 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 293, 1318, 3115, 5690, 9049?\nAnswer: 13198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2711 + -1161. Are n and 1550 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2766*u**2 + 974*u wrt u?\nAnswer: 5532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) -0.5 (c) 1 (d) -24 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - k**4 + k**4)*(0 - 3 + 1) + k - 9 + 84233*k**4 + 8 - 8*k**2 - 84436*k**4.\nAnswer: -205*k**4 - 8*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 305.7 + -305.669986. Let x = -0.03 + m. What is x rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10302 and 1758612?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 34, -109, 4 in increasing order.\nAnswer: -109, 2, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-45)\/h*h**(-14)*h)**(-24))**(10\/9))**3 assuming h is positive.\nAnswer: h**4720","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -17 + 2)\/(5\/265). Let k = h - -1296. List the prime factors of k.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 17*t**2 - 8*t - 2. Let r(z) = 18*z**2 - 8*z - 1. Let o(v) = 4*f(v) - 3*r(v). What are the prime factors of o(-3)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 2*z - 3*z - 2*z.\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/1976771306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5)*(-80)\/16. Suppose -20 = 4*o + o - s, -16 = 4*o + c*s. Let n(x) = 1. Let g(v) = 2*v + 12. Let y(i) = g(i) - 12*n(i). What is y(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*w = -36, 47*w + 13 = -c + 45*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 19 = 3*m + 4*s, -2*s = 2. Suppose 18*c + 6 = 19*c. Solve 3*o + m = i, -c*o - 20 = 4*i - 2*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 9 + 0*f + 4 + f to m + z*f and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 177 = 0. Suppose -395692 = -1186*o + 438*o. Calculate the remainder when o is divided by y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 9*t**2 + 7*t - 11. Let s be c(-8). Let r = s - -5. Suppose 7*u - r*u - 25 = 0. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 6*o + 5. Let f be m(6). Suppose d - 5 = -f*j, 3*d - 2*d - 4*j - 14 = 0. Calculate the least common multiple of 12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-18))\/(1\/2) + 3. Suppose o - 6 = -3*m, 2*m = 2*o + 7*m - 12. Solve b*q - 3*s = -6, -o = -4*q - 2*s - s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14586, 29173, 43760, 58347, 72934?\n\"Answer: 14587*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/285 and (-1390)\/144*177\/(-11210)?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8434*y - 2 + 2.\nAnswer: 8434*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x**3 - x + 1. Suppose 2*g + 4 = -0. What is the tens digit of c(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = s + 4*s - 5, 21 = 5*n + 2*s. Let w be (-3815)\/(-45) - (-2)\/9. Suppose 2*r = n + w. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7639*m - 7641*m = 4*s - 8, 3*s - m - 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/13 or 140.4?\nAnswer: 140.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1797, -1, 63, -4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2743 bigger than -2748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 11*u**2 + 4. Let t be b(11). Let z = -1 + t. Let v be z\/15 + 198\/10. Solve 0 = 3*h - 2*h + n, -5*n = h - v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48446, 96889, 145332, 193775, 242218?\n\"Answer: 48443*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1115940 = -4*d, 0*r = 3*r + 2*d - 836965. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 170950 by 186.\nAnswer: 85475\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.015, -6, 2\/19, 2\/84479.\nAnswer: -6, -0.015, 2\/84479, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**3 + 9*t**2 - 49*t - 131. Give a(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-315)\/36 + ((-1)\/4)\/1. Let f(m) = -m**3 - 11*m**2 - 8*m + 16. Let a be f(q). Let v = a + 147. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -62, -165, -360, -677, -1146?\n\"Answer: -5*b**3 - b**2 - 3*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 1)*138\/621. What is the biggest value in s, -1\/4, 2\/7, -4\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*y + 21*y + 41 - 41)*(4961 + 4847 - 9079) as c + b*y and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 14 + 10 = 0. What is the tens digit of (185\/v*-3)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 705, 1477, 2533, 3873?\nAnswer: 5497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 12 = -6. Suppose 3*x - 2*k - k - 30 = 0, -y*x + 10 = 2*k. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 415059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6124*r**3 - 6059*r**3 - 5*r**2 + 5*r**2.\nAnswer: 65*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 128404 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = 5*q + 2*g, 782*q - 306 = 786*q + 17*g - 53 for q.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/3*((-76)\/95)\/((-9)\/15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 8\/25, 6, -7, 0.004?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 4848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(-o + 2*o - 3*o)*(1 - 1 + 2*o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 6*n + n + (1 + 1 + 0)*(n + 1 - 1) + 0 - 2*n + 3*n + 2 to q + l*n and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**3 + a**2. Let l be g(1). Suppose 0*f + b + 157 = 3*f, -3*f = -3*b - 147. Is f\/l - 8\/(-16) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 0 + 0*d**5 + 0*d**3 - 1\/24*d**4 + 0*d - 1\/120*d**6 - 2*d**2. Find the second derivative of a(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 12*i**3 + 10*i**2 + 13. Let q(r) = 2*r**3 + 2*r**2 + 1. Give j(v) - 5*q(v).\nAnswer: 2*v**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7541.2455 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 21*f + 42. Suppose 13*p + 0*p = -247. Let r be t(p). Suppose 35 = r*j + 11. Calculate the lowest common multiple of j and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -33. Let h(m) = 3*m**2 + m - 7. Let l be h(-2). Is l at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(6) + 1 + 1)*3 + 0)**2.\nAnswer: 36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*b - 6*b + 5, -3*p + 1 = -b. Let a(n) = -4*n**2 - 5*n + 2. Let y(g) = -g**2 - g + 1. Give p*a(l) - 2*y(l).\nAnswer: -2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 - -288892167?\nAnswer: 288892080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**6)\/x)**(-2\/17)*(x**(-21\/2)*x)**(16\/3) assuming x is positive.\nAnswer: x**(-2554\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 + 4*n**2 - 3*n**2)*(n**2 - 2*n**2 + 2*n**2)*(-3*n - 2*n - n).\nAnswer: -42*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*y + 37 - 4, -3*y + 31 = -w. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -77. Calculate the lowest common multiple of u and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19641415.\nAnswer: 5, 3928283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 758991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489427477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -175 + 84 + 89 - 103*u in the form m*u + k and give m.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2486 and 1758280?\nAnswer: 19341080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46515354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 26*a + 23. Calculate y(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/10676 or 1?\nAnswer: 3\/10676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 124, 114, 104, 94, 84?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/3 - (-1)\/3. Let l be 2\/6 + 88\/x. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5153 and 3?\nAnswer: 15459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 232 + 34. What is the highest common factor of 44 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107799 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, q: 7}. Give prob of sequence qo.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((95\/(-30))\/19)\/(1\/4). Let z be (-15)\/(-20)*(-1)\/(-3). What is the closest to h in z, 0.7, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -0.6. Let z = 0.4 - n. Let u(s) = 104*s - 3433. Let y be u(33). Which is the smallest value? (a) 0.4 (b) z (c) y (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-1 - (-3)\/(-6)). Let j be 15\/o + (-6)\/8. Suppose -4*x + 1 - 5 = 0. Sort -5, j, x.\nAnswer: -5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 31*j**2 - 31*j - 683. Let q(n) = 46*n**2 - 46*n - 1032. Let g(z) = -8*c(z) + 5*q(z). What is the derivative of g(l) wrt l?\nAnswer: -36*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 17*d - 11. Let s(r) = 2*r**2 - 5*r**2 - 8*r + 5 + r**2. Let g = -34 + 21. Give g*s(o) - 6*b(o).\nAnswer: 2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2205?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*j + 12 = 0, -3*i - 28 = 3*j - 4. Let c be 0\/((-3)\/(i\/2)). Suppose o = -5*h - 2*o + 68, c = -4*h + o + 68. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3095 - 3144. Sort 0, -0.1, k.\nAnswer: k, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)\/((-20)\/(-100)). Suppose -96 = -g*i + 49. List the prime factors of i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ci when two letters picked without replacement from pppcpcpcicppcccpdc.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00902 minus 2717662?\nAnswer: -2717662.00902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2274313841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-176))\/(-10*(-11)\/(-8448))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwuuwwu?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1025*p**2 - 5 - 2*p**3 + 1020*p**2 + p**3 + 6 - 6*p. Let m = -7 - -2. Does 5 divide a(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3170, -3199, -3254, -3341, -3466, -3635?\nAnswer: -3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3183.\nAnswer: 3, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 + 3*u**5 - 5*u**5 + (-3*u + 14*u**2 + 3*u)*(0*u**2 + 0*u**2 + 2*u**3).\nAnswer: 27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-23)\/4 + (-321)\/(-428). Let a(i) = -i**2 + 2*i + 41. Calculate the remainder when 292 is divided by a(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 72834144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88096471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*t = -4*t - 188, 4*a - 5*t + 394 = 0. Suppose -3*v - 20 = 2*v, -v = 2*r - 42. Calculate the remainder when r is divided by 9\/(-4)*a\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 11, 490.\nAnswer: -0.4, 11, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0.2. Let j = 117.6 + -116.6. Which is the nearest to 1? (a) j (b) g (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 167*w**2 + 6373*w - 69. What is c(59)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*t = 7*t + 376, 0 = 5*g - t - 464. Suppose -g = -4*v + 2*d - d, d + 20 = v. Calculate the highest common factor of v and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*63\/(-6)*-36*(-6)\/14.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*h = 11, 2*x + x - 2*h = 21. Let r = x + -2. Let b = -5 - -12. Solve -3*q + 4*t = b + 10, -2*q = -t + r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x + 42. Let t be 46 + 0 - (-35 + 27). Suppose -s + 2*h + 15 = 0, 3*s = s - 4*h + t. Give c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -3)*(-42)\/12. Suppose -j*u = -u - 30. Let l be u + -2 + 1\/2*-2. Solve 3*c = -z - 14, -6*z + c = -l*z + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4188134001 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(150) - -3*sqrt(150)))\/sqrt(3))\/(1*sqrt(10)*-3*-6)*-4.\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/5)*d**(2\/7)*d)\/((d\/(d\/(d*d**(3\/2))))\/(d\/(d\/(d*d\/d**(2\/7))))) assuming d is positive.\nAnswer: d**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**5)\/c**2)**(-8\/3))**(-26) assuming c is positive.\nAnswer: c**(832\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 0 + 0)*(4 - 2 - 3) + (39*j + 3*j - 4*j)*(-2 + 1 + 0) to the form v + t*j and give t.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:37 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 611*o**6\/24 + 1237*o**3\/6 + 2*o**2 + 1819. Differentiate t(a) with respect to a.\nAnswer: 9165*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 53*o + 95*o = 450, 2*t + 4*o = -o + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*u - 26 = 0, 0*u = 5*b + 5*u - 20. Let g(q) = -q + 6. Let z(d) = 2*d - 3. Let w be z(-4). Let y(k) = -2*k + 11. Determine b*y(c) + w*g(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 20*m + 14. Let u be g(-11). Suppose 1084 = -32*t + u*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 485*q - 6. Let i be p(4). Suppose -i = -10*b + 8*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(175) - (sqrt(175) - (sqrt(175) + -1*((sqrt(175) - -2*sqrt(175)) + sqrt(175)))**2)) + 2 + -1*(-1 + sqrt(175)).\nAnswer: -5*sqrt(7) + 7878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + 7)*(-6)\/3. Let a be g + 28\/(-1) - -2. Let o be (-2)\/2 - (a + 27). Solve 10 = 3*f - o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14430204 (base 5) to base 10.\nAnswer: -155054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tm when two letters picked without replacement from {t: 1, o: 5, m: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a**18*a)))\/a)\/a*a*a)\/(a*a\/(a\/(a**(-19)*a))) assuming a is positive.\nAnswer: a**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {f: 1, g: 3, o: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 15 = -3*q, -o + 4*q = -15 + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 8*w - 16*w + 8*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, r: 1, w: 2}. What is prob of picking 2 h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/6 + 6694*s**2 + 26777*s\/2 + 20083\/3 = 0.\nAnswer: -1, 40166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*y - 289*y + 731*y**2 - 2 + 46*y - 1.\nAnswer: 731*y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*1 + -1 + -1 - (2*sqrt(176) + sqrt(44)\/sqrt(4)*-5).\nAnswer: -2*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 + 3*q + 2. Let r be b(-1). Let i(p) be the third derivative of -1\/120*p**6 - p**2 + 0 + 0*p + 1\/6*p**r - 1\/60*p**5 + 1\/24*p**4. Factor i(l).\nAnswer: -(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (11 - (-7 - -70))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2159384585.\nAnswer: 5, 233, 1853549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 + 41. Let s = -39 + 13. Let q = s + 32. Calculate the smallest common multiple of x and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -743 + 793. Suppose 8*r - 66 + b = 0. Solve -r*s = 2*q + 25 - 9, -5*q - 25 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5971 + -5982.056. Let z = -59 - -71.4. Let q = z + y. Round q to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) -12 (c) 0.3 (d) -0.3 (e) -2.9 (f) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/35*7*(-30)\/(-7)*(-24 - -17)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 - 591285?\nAnswer: -591316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -85554, -342180, -769890, -1368684, -2138562, -3079524?\n\"Answer: -85542*j**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = -2*n. Let d(u) be the first derivative of u**2\/2 + u + 196. Let v(w) = -2*w**2 + 3*w + 3. Calculate n*v(i) + 3*d(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/809 or 1?\nAnswer: 5\/809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149 - -154. Solve -u = u - 6, 5*o + 40 = c*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3991, 8116, 12249, 16390, 20539, 24696?\nAnswer: 28861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 5*w + 2. Let m be c(5). Suppose -m*v = -v - 28. Let u(z) = z + 16. Let a be u(-2). Calculate the highest common factor of v and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 40. What is the least common multiple of b and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*k - 100 = -0*k, -u + 47 = -5*k. Let t = 1671 - 1557. Calculate the remainder when t is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963124\/267 greater than 14843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(1 + sqrt(12)\/sqrt(4)) - (-4*sqrt(75)*-2)**2) + 5.\nAnswer: -4795 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 16*y**2 - y + 1. Let c be o(-1). Let g = 24 - c. Solve g*f - 2*q - 16 = 4*f, 3*f = -4*q + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -53*z - 67. Let p(r) = 26*r + 32. Let y(h) = 6*o(h) + 13*p(h). Let n(d) = d. Calculate y(n(w)).\nAnswer: 20*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 6*a + 1, -2*a = 2*p + 9 - 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 g when four letters picked without replacement from {m: 2, g: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23934666.\nAnswer: 2, 3, 7, 31, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*q + 5*q - q + (-2 - 2 - 2)*(16*q + 5*q - 9*q).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 148, 151, 164, 193, 244?\n\"Answer: r**3 - r**2 - r + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 901*m + 7520. What is w(-8)?\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 2*v**4 + 7*v**3 - 24 + 2*v**4 + 5*v**4 - 2*v**3 in the form a*v**3 + l + z*v + h*v**4 + y*v**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1323*u**2 + 1132 - 207*u - 120*u - 761*u - 1132 wrt u.\nAnswer: -2646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*g**5*j + 6*g**4*j**3 - 87*g**2*j**3 - 5*g*j**3 wrt g.\nAnswer: -5460*g**2*j + 144*g*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Let u(b) = b**2 + 6*b + 7. Let v be 1\/(3\/18*-1). What is the smallest common multiple of n and u(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 582 = x, -4*k = 4*x - 2*x - 1176. Suppose -2*w + 284 = o, 3*w - 4*o - x = -w. Is 6 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 3, v: 2, b: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*i - 188124 = -103*i + 49*i. What are the prime factors of i?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 28043c1?\nAnswer: -28043c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16471 minus -2345?\nAnswer: 2345.16471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -30396960 divided by -27360\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 11:30 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4799474176 to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 519 = -5*o, -7*w = -4*o - 5*w + 404. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 10\/25*10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 1 - (-87 - -80).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2651, -2643, -2633, -2621, -2607?\n\"Answer: g**2 + 5*g - 2657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*x + 12, -3*f = -3*x - 3. Let t = -0.9 + -0.1. What is the closest to 0 in f, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-10)*g)\/(g**(-7)*g)*(g*g*g*g*g**(6\/5))**(-1\/13))**(5\/4) assuming g is positive.\nAnswer: g**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -14*o + 39. Let w(x) = -9*x + 26. Let p(k) = 5*m(k) - 8*w(k). Let n be p(9). Solve 2*h + 11 = n*t, -5*t - 5*h - 11 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*c**5*v - 291*c**3*v - c**3 - 5*c*v + 1054*c + 1 wrt c?\nAnswer: 260*c**3*v - 1746*c*v - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 1 - 11. Let a = r + 6. Let z be (4 - a - 0)*1. Is z equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/7, -2418\/7, -6\/13 in ascending order.\nAnswer: -2418\/7, -6\/13, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -27\/7, -4\/9, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 580 = 2*g, 1152 = -4*a - 2*g - 2*g. Let o = a - -1506\/5. Calculate the common denominator of o and 26\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231 (base 12) in base 11?\nAnswer: -15a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 136 divided by -673\nAnswer: -136\/673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2980056851996 and 3.6.\nAnswer: 3.8980056851996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*3\/(-10)*4. What is the remainder when 3\/(-2) + 219\/j is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 916681319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 7:35 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -11. What is the third biggest value in q, 4\/11, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1056 - 748. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40503, -40419, -40335, -40251, -40167?\nAnswer: -40083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-21 - -15)*(1 + (-3)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**2\/2 - 80421*a + 160843\/2 = 0?\nAnswer: -160843, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193 - 180. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -15 - -25)\/(-1 - -2). Solve 3*t - 4*i = y, -3*t - 3*i + 7 - 28 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1889 divided by 310\nAnswer: 1889\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n + 79*n - 31*n - 29056 - 454.\nAnswer: 79*n - 29510","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38527477, 38527475, 38527473, 38527471, 38527469?\n\"Answer: -2*a + 38527479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -82733118 divided by -74001?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 25. Let s be h(-14). Suppose 14 + 259 = 4*x + s*q, 2*x = 4*q + 142. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/9 - 8)*(-8 - 972\/(-120))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479694 is divided by 76?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(198) - -3*(sqrt(198)*2 - sqrt(198) - sqrt(198)))\/sqrt(11))**2*2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 602 and 35?\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, 2\/7, -461, 4.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhgwdwdjdwgwjd. What is prob of picking 2 j?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in 4, 2, 0.03, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j. Let w(v) = 9*v**3 - 4*v**2 + 6*v - 2. Calculate -w(m) - 7*z(m).\nAnswer: -2*m**3 + 4*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4731*c**6*i + 60*c**4*i**2 + 2*c**2 + 29*i**2 + 15876*i wrt c?\nAnswer: -567720*c**3*i + 1440*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1123, -1271, -3667, -6065, -8465, -10867?\nAnswer: -13271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p, p - 29 = -0*t + 4*t. Let l(z) = z**2 + 6*z - 12. Let g(q) = 2*q**2 + 11*q - 25. Let i(m) = -6*g(m) + 13*l(m). Let s be i(-12). Is s at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26787 divided by 26787\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b**3 + 457 + 456 + 11*b**3.\nAnswer: -4*b**3 + 913","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1809110*c**5*h - 4610*c**2*h - c*h wrt c.\nAnswer: 108546600*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 25*u + 164395 = 23*u. What are the prime factors of u?\nAnswer: 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-j + 0*j - j)*(1 - 5 + 3) + 4*j + 2*j - 5*j)*(-j**4 + 4*j**4 + 3*j**4).\nAnswer: 18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*a + 9, -2*t + 3*a + 10 = 1. Which is smaller: 6\/503 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*1 - (-10 + 12). What is the lowest common multiple of 11 and (-3*40)\/h - -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b + 180. Does 14 divide l(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.19*-21.\nAnswer: 66.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76619\/11 + 6970. Let v = 6389\/1520 - 1\/304. What is the common denominator of v and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllfllxoxlloollxoo. Give prob of sequence ox.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10630 (base 9) in base 3?\nAnswer: 100201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 1) + (-646 - -674) - (2 + 12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.71 + -0.61. Let c = -2 - 4. Let r be 64\/14 + c\/(-14). Sort 4\/5, t, r in descending order.\nAnswer: r, 4\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1132, 1424, 2246, 3892, 6656, 10832?\nAnswer: 16714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5d (base 14) to base 4\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300 - 410504?\nAnswer: -411204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -0*a - 4*a. Let s = a + -14. Let x = s - -42. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 13*d + 2. Let z be r(-13). Suppose 3*w + s + 44 = w, -z*s = 5*w + 110. Let n = 16 - w. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6)\/(4\/(-12)). Solve a*l - 6*l + 7 = 5*g, 21 = 5*g - 3*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-589)\/(-62))\/(-19))\/((-9)\/(-2)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5845)\/975 + 2 + 4. Let p(g) be the third derivative of 2\/39*g**3 + 20*g**2 + 0 - 1\/156*g**4 + 0*g - a*g**5 + 1\/780*g**6. Factor p(b).\nAnswer: 2*(b - 2)*(b - 1)*(b + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7443 = -63*f + 58*f, 2983 = 2*f - 5*h. Let y = f - 689. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23030.\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*n**4 - 128*n**3 - 241*n**2 + 151547051*n wrt n.\nAnswer: -1644*n**2 - 768*n - 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 0, 4\/3 in decreasing order.\nAnswer: 5, 4\/3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**4\/24 + 19*a**3\/6 + 8*a**2 - 5*a. Suppose 0*v - 32 = 2*v. Let y be p(v). Sort 5, y, -5.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oqcccqicjoocojcoijzo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1315.\nAnswer: 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((880\/15)\/(-44))\/(8\/(-42)). Let x(s) = -s**2 - 3*s - 3. Let r(m) = -m**2. Let y(o) = -o**2 - 7*o - 7. Let f(i) = -2*r(i) - y(i). Give b*x(h) + 3*f(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -55. What is the second derivative of 76*d + d**v - d**3 - 2 - 103*d + 36*d**2 + d**4 wrt d?\nAnswer: 12*d**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1369\/4 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:01 AM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 830\/(-1064) + (-3)\/(-4). Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 13*d**2 + 5*d - 62. Suppose 2*z = 4 - 10, -21 = -5*u - 3*z. What is p(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*d - 47*d - 3*d**2 + 32*d - 44*d + 156 to the form c*d + b + y*d**2 and give b.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 5. Let p(o) = o**2 - 6*o - 7. Let g be p(-3). Calculate the highest common divisor of g and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/120 and -113\/683720?\nAnswer: 2051160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.28 and -3099.\nAnswer: 867.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.089743 - 0.05\nAnswer: 0.039743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r = 3*r + 3*v + 28, -4*r + 2*v + 22 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -x - 16, 0 = -0*x - x + 5*q - 20. Let i(u) = u**3 + 21. Let p be i(x). Let n = -14 + p. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 12*t**2 + 6*t - 34. What is the smallest common multiple of i(3) and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83706 by -4.\nAnswer: -41853\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l - 1. Let d be m(-1). What is the greatest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39395*y**3 + 2*y**2 - 8*y + 902697 with respect to y.\nAnswer: -118185*y**2 + 4*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2 + p + p - 6*p to x*p + h and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -93. Let y be (u\/(-42))\/((-2)\/6). Suppose y = 2*p + 1. Let k(v) = -2*v**3 + 2*v**2 + 3*v - 3. What is k(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.51, 25, -1\/5, 3, 0.07, -0.1 in increasing order.\nAnswer: -1\/5, -0.1, 0.07, 0.51, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/41)\/(1\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*k, -21*k = -2*y - 20*k + 4. Let v = 4.2 - 1. Let x = v + -3. Which is the closest to y? (a) -2\/9 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 7. Let m be v(-5). Suppose -3*d + 4*x + 35099994 = 2*x, 0 = -m*x + 6. What is d rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26 + (-218 - -211)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + sqrt(180) + sqrt(30)\/(sqrt(60)\/sqrt(10) + sqrt(6)))*-5.\nAnswer: -65*sqrt(5)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**2 + 17*g + 7. Let o be i(-8). Let p = -528.7 + 529. Which is the biggest value? (a) p (b) 4 (c) o (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2172, -2187, -2204, -2223, -2244?\nAnswer: -2267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x**3 - x**2. Let m be i(1). Let s(k) = -7*k - 4. Let d(o) = -13*o - 7. Determine m*s(l) + 6*d(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n**2 - 5*n - 8. Let i(m) = 3*m**2 + 3*m + 5. Suppose 70*y = 74*y + 20. Determine y*c(s) - 8*i(s).\nAnswer: s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*a - 10*a - 54. Let u be ((-10)\/(-6))\/((-2)\/(-6)). Suppose -w = -1, -d + u*w + 3 = a*d. Solve -4*z - 2*o - 20 = 0, -5*z + d*z = 4*o + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-25)\/((-175)\/4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4319, -17566, -39737, -70832, -110851, -159794?\n\"Answer: -4462*c**2 + 139*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2. Let a(n) = -38025*n. Give a(m(i)).\nAnswer: -76050*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/5 + 14814*v**2\/5 - 10524712*v\/5 = 0. Calculate v.\nAnswer: 0, 796, 6611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1939*y - 2458*y - 41 + 80 - 39 + (2*y + 1 - 1)*(-2 + 3 - 3) - 2*y + 0*y + 4*y.\nAnswer: -4399*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.7727*-0.9943\nAnswer: 0.76829561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**2 + 5. Let q(k) = 12*k**2 + 8. Let a be (-3 - 0)\/((-27)\/72). Let s(w) = a*b(w) - 5*q(w). Suppose s(x) = 0. What is x?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 3*z - 10. Let g be i(-5). Let f(n) be the second derivative of 0*n**2 + 1\/30*n**4 + g + 2\/15*n**3 - n. Suppose f(y) = 0. Calculate y.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 - 105*h**2 - 48*h - 106. Calculate f(-52).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(605) + -1 + -2 - (0 + (1 + sqrt(605) + -3)**2)) + -4.\nAnswer: -616 + 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27492 (base 10) in base 12?\nAnswer: 13ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 7*u - 8. Let w(p) = 3*p**2 + 6*p - 7. Suppose -2*t + 3*j - 3 = 3, -3*t = j + 20. Calculate t*m(f) + 7*w(f).\nAnswer: 9*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404\/4212*(-1)\/(-4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29256 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210 (base 4) to base 11.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 6. Let s(k) be the second derivative of -k**4\/3 - 5*k**3\/6 + 6*k**2 - k + 7. Let y be s(-3). Calculate f(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(99)*4 - (2 + 2*sqrt(396) + sqrt(396)))**2.\nAnswer: -144*sqrt(11) + 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4*p - 9*p + 15*p)*(-10*p - 2*p**3 + 10*p) to the form f*p**4 + k + y*p**2 + q*p + m*p**3 and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*3\/((315\/7)\/1).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610256 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.9 - 10.9. Is 21 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**3 + 5*a**2 - 2*a + 8. Let l(o) = 20*o**3 + 15*o**2 - 5*o + 23. Let r(c) = -6*l(c) + 17*m(c). Is 6 a factor of r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 77*b**4\/12 + 129*b**2\/2 - 88. Let l(x) be the second derivative of v(x). Let p(t) = -3*t**2. Calculate l(p(c)).\nAnswer: -462*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let g = 8.1 - 10. Let l = g + j. Which is greater: l or -0.06?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3204 is divided by 3153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 636 by -21.\nAnswer: -212\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 64, 138, 222, 304?\n\"Answer: -2*y**3 + 23*y**2 - 3*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1 + sqrt(35)\/sqrt(5) - (5 + sqrt(112))) + 5 + (1*sqrt(112) + -1)**2*6.\nAnswer: -50*sqrt(7) + 677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 6*i + 2)*(-72*i + 37*i + 37*i + (8 - 3 + 2)*(-2*i + 7*i - i)) in the form r*i**2 + l + u*i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - 0. Let x = 0.6 - w. Let p be (-2)\/11 + 42\/(3 - (22 + -8)). Which is the third smallest value? (a) x (b) 0.5 (c) 0.3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + r + 0*r = 0. Suppose r = 9*a - 20*a + 209. Calculate the remainder when 65 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1460 (base 12) to base 10\nAnswer: -2376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t - 9, 0 = -4*j - 5*t - 73. Let r = j + 66. Let s be 2\/(-2) + 0 + 5. What is the highest common divisor of r and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 - (-9)\/6. Solve -4*a = -n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - -3 - (-230 + 1). Let k = l - 111. What is the highest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -13404077.\nAnswer: -13404076.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 959 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8893 - 18499*c**3 - 8893.\nAnswer: -18499*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 759019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*-1*4)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24199815*g + 38910712 wrt g?\nAnswer: -24199815","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.89297 decades to millennia.\nAnswer: 0.0789297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/1750*(-22 - -19)*-2*(-20)\/24?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -29. Suppose -10*w + 2760 = a*w. What is the highest common divisor of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/6069 and -6\/7.\nAnswer: 6069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -143*w - 3290. Give s(-24).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -82, -95, -104, -103?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 35824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (615\/984)\/((-1)\/4)*(-24)\/3\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4.963956ng?\nAnswer: 0.000004963956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:29 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 60 - 1100. Suppose -5*v - 2*z = -w, 4*v = 5*v + 3*z - 45. Calculate 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 the nearest to -0.1? (a) 5 (b) 1\/2 (c) 178\/129 (d) -1\/4 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 523 + -521. Let l = 3.7 - -1.3. Let w = t - l. Sort -5\/4, 1\/9, w in ascending order.\nAnswer: w, -5\/4, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 + -147 + (0 - 6 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -893 + 341. Let p = -185 - g. What are the prime factors of p?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h - 3*h + 4*h - 2*h + 2*h - 4*h + 4*h + 5*h - h - 3*h + (-2*h - h + h)*(3 - 2 - 3) + 1 - h - 1)*(-22*h**4 - 5*h**4 + 4*h**4).\nAnswer: -92*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103719313.\nAnswer: 103719313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21, -58, -2 in increasing order.\nAnswer: -58, -2, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-12)*654*3\/(-30) and 17\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 784.2572381 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {m: 2, t: 1, z: 1, r: 1, j: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 17 + 27 = -241989*j + 241995*j, -5*n = 3*j - 37 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10000011000101?\nAnswer: 10000011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12 + 18568719*s**3 + 5 - 18568730*s**3 + 3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**6 + 5*j**5 - 1338*j**4 + 111840*j**2?\nAnswer: -120*j**3 + 300*j**2 - 32112*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3015, -12047, -27113, -48213, -75347?\nAnswer: -108515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.1. Suppose 0 = 2*j + 3 - 27. Suppose -y = 3*y - 2*c + j, c + 14 = -3*y. What is the nearest to -0.2 in 1, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**5\/2 + 13*j**4\/2 - 95*j**3\/2 - 497*j**2\/2 - 331*j - 136 = 0.\nAnswer: -17, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + 13\/(-6) + -2 and -15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 5*b + 3. Suppose 42 = -2*t + 44. Let z be t\/((2\/5)\/(24\/15)). Calculate j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 291 + -185. Suppose 270*t - 272*t + b = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 2:10 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1963927 + 161671?\nAnswer: -1802256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4\/13))\/p*p**(2\/59))**(-3\/23) assuming p is positive.\nAnswer: p**(-786\/17641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134 - 133.788. Let k = t - 0.112. What is the nearest to 1 in -59, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -427\/2 or -0.09?\nAnswer: -427\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from gsssgssss?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 23*z + 5672 = 2*k, -13212 = -7*z + k. Calculate the highest common divisor of z and 4012.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -135, -1.4, -2, -2\/3.\nAnswer: -135, -2, -1.4, -0.7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 - 48*d**3 - 2722*d**2 + 59520*d + 358400 = 0.\nAnswer: -35, -5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4946.487 - 4948. Round x to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (3 + (-18 - -7)) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 19*n**2 - 12. Let s(u) = u. What is s(v(o))?\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118.0087 hours to microseconds.\nAnswer: 424831320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12383604, -12383603, -12383602?\nAnswer: -12383601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 13447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 483 = -469. Calculate the highest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.61169075 rounded to 4 decimal places?\nAnswer: 1.6117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/3 + (-8)\/(-6). Suppose 5*w + 2*g - 26 = -4, -w - 5*g + 9 = 0. Factor 2*p**3 + p**h - 3*p**3 + 4 - w.\nAnswer: -p**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1273 and 706 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127346728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -17. Solve v + 2*j = 2, 0 = -5*v - w*j + j + 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190*d + 82 - 441 = 211 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 10*s**2 + 10*s - 10. Let x be z(-11). Let c be 12*1\/(-6)*-2. Suppose -15 = -c*j + x. Put 3, 8, j in descending order.\nAnswer: 8, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - x + 22 = 0, -x + 28 = 5*n + 1. Suppose -4*b = 3*z - 2219, -n*z + b = -1235 - 2494. List the prime factors of z.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-3\/5))\/b*b*b*b*b\/(b*b**(-1\/4)*b))\/(b\/b**(-2\/17)*b**(2\/9)))\/((b**2\/b)\/b**2*(b*b**(-3\/4))\/(b\/(b*b*b**(-6)))) assuming b is positive.\nAnswer: b**(5554\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 21. Let r be d(9). Suppose f = -5*a + 19, -r*a - f = f - 17. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 5*x - 2. Suppose 8*t = -24 - 8. What is k(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -78 and -73 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 1. Let q(s) = 2*s - 2. Let y(f) = -13*h(f) + 6*q(f). Suppose -2*x - 33 = x. Let d = 8 + x. What is y(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - c + 6 = -3*p, 4*p = 3*c - 3. Let n(j) = 11*j + 3. Let o(q) = -4*q - 1. What is c*n(f) - 8*o(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -41*q**2 + 13*q + 93. Let z be u(-10). Round z to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 48976*k**2 + 145034*k**2 - 51442*k**2 + 2*k - 50105*k**2 to the form m + s*k + i*k**2 and give i.\nAnswer: -5489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m - 1040 = 0. Suppose a - m = -a. Let o be 1\/(-3) - a\/(-24). Solve 0 = -2*l + 4*l - o*z + 2, -5*z = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/64 and 45\/52.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 7*f + 11. Let n be h(5). Let p be n + (-43 + -2)\/(-3). Let m = 168 + -168. Solve -4*q + m = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*g + 30 = 0, -23*n + 18*n - 3*g = -14. Let u(y) = -3*y - 3. Let d be u(-3). Let z = 58 - 38. Solve -k + d*k = -z, -h - 16 = n*k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36811609*d**3 - 4*d**2 + 479848520*d?\nAnswer: 220869654*d - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2330066 - -79215683\/34. Let p = 385\/2 + a. Is p at least 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s = -n + 1, 3*n = 5*s + 11. Let d(x) = 10*x**n - 2*x - 3*x**2 - 3*x - 1. Is d(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 1 - 6)*(1 + 1 - 4) - 4 + 1 - 2)*(6*l + 2*l - 4*l + l - l + l + (3 + 0 - 2)*(0*l + l + l) + l - 3*l + 4*l).\nAnswer: 153*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 999 + 30*q - 164*q - 7*q + q - 997 + 65*q.\nAnswer: -75*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2*g**2 + 2*g**2)*(0 + 2*g + 0)*(3 + 0 - 2).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 199, 395, 657, 985, 1379, 1839?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-10) - (9 + (-186)\/15). Let n be (2\/(-2))\/(1\/(-3)). Solve n*m = -m + j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*v**2 + 47*v**2 - 19*v - 28*v**2 + 14*v**2 to the form d + w*v**2 + o*v and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5729 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7478589, -7478590, -7478591?\nAnswer: -7478592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -16*4\/((-16)\/11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22413514 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 82 = 3*s, -4*s + 16800*u = 16803*u + 55 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 591 + -19690?\nAnswer: -190bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*l**3*u**3 + 2*l*u**3 + 283*u**3 wrt l?\nAnswer: 96*l**2*u**3 + 2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4760166.\nAnswer: 2, 3, 311, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 - 2*q - 21*q**2 - 3 - 4*q**2 - 5*q**2 as v*q + u*q**2 + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-39)\/(r**23*r**(2\/5)\/r*r) assuming r is positive.\nAnswer: r**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5608)\/(-32))\/((-2)\/16*-2). Let x = -706 + w. Sort x, 42, 1, 3.\nAnswer: x, 1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/5 - 162062*d**2 + 8102350*d - 101276250 = 0.\nAnswer: 25, 405105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 4*t**2 + 6*t + 9. Let s be k(-3). Suppose x + x = d + 505, s = -2*x - 4*d + 530. Calculate the greatest common divisor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(85)*-1 + sqrt(85) - 1*sqrt(85)*-2)\/((sqrt(60) + sqrt(960))\/sqrt(12) - sqrt(125)*-4).\nAnswer: 4*sqrt(17)\/25 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -22.3. Let k = x - -7.7. Let c = k - 9. Which is bigger: 0.2 or c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187532989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + sqrt(3) + -1 + (sqrt(147) + -1)**2.\nAnswer: -7*sqrt(3) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 24. Let s be (-4)\/q + 52758517\/63. Suppose 3317437 = 4*i + s. What is i rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 59a (base 15) to base 10.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 98*z**2 + 1929*z - 180. What is f(27)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30010023111 (base 4) in base 9?\nAnswer: -5850533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61283729?\nAnswer: 13, 37, 43, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**8\/20160 + s**5\/6 - 9*s**2. Let f(d) be the third derivative of i(d). Let z(y) = 11*y**2 - 280 + 280. Determine f(z(x)).\nAnswer: 121*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 84, 28\/9, 137\/4?\nAnswer: 137\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 + 2*j - 2. Let k(a) = -10*a**2 - 11*a + 11. Let z be 4\/(-2)*(-33)\/(-6). Determine z*b(m) - 2*k(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u - 8 - 1 - 9*u**2 + 13 - 2*u**3. Let l be f(-5). Suppose 0 = -4*h + 8, -4*y + 9*y - l*h - 17 = 0. Solve 0 = -t - y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p + 21*p + 13*p - 40*p + 7*p**2 + 4*p**3.\nAnswer: 4*p**3 + 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 + 9*k**2\/4 - 5*k\/2 - 19. Factor x(q).\nAnswer: (q + 5)*(2*q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 886 + -886.13. Put 2\/7, n, 6\/29 in decreasing order.\nAnswer: 2\/7, 6\/29, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1710 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18763?\nAnswer: 29, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -8*i + 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b2 (base 14) in base 3?\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*n + 2096 = 0, 12*c + 4*n + 6310 = 15*c. What is the greatest common factor of c and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 52*l**2 - 2*l - 104. Let n be t(-52). Which is the nearest to -1\/3? (a) 0.1 (b) 2 (c) 56\/25 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x**2 + 2*x - 13 - 2*x**2 + 13*x**2 - 10*x**2. Let l be a(-5). Suppose 0 = 4*q - 5*n + 103, -q + l*n - 28 + 0 = 0. Is -24 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*q - 16*q**2 - 29*q**2 - 22*q**2 + 234*q.\nAnswer: -67*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 2*r**2 + 3*r + 9. Give l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-12\/19)*(m*m*(m\/(m**9\/m))\/m*m)\/m*m**1*m)**(-19) assuming m is positive.\nAnswer: m**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17128 and 14?\nAnswer: 119896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 825 or 822?\nAnswer: 822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v + 10. Let y be c(3). Let f be (y - -410)*10\/6. List the prime factors of f\/30 + 1\/(-3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k - 249 - 114 = 7*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 483, 8, 5, 82, 7 in descending order.\nAnswer: 483, 82, 8, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905956 is divided by 47681.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 455269 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y - 12. Does 8 divide o(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:32 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 5*f**4\/12 + f**3\/2 - 7*f. Find the second derivative of l(g) wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799936.\nAnswer: 2, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/383, 3\/2, -6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -490, -1954, -4394, -7810?\n\"Answer: -488*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/64 of a gram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/11)\/x*x\/(x*x\/x**(3\/5))*x*x*x)**(33\/5) assuming x is positive.\nAnswer: x**(399\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/10)\/(-3 + (-201)\/(-66)). Let c(g) = -7*g**2 + 8 - 8*g**3 + 9*g + 3*g**3 + 4*g + 6*g**3. Is c(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1145 + 1?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 884 and 833846?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955.2703 millimeters to centimeters.\nAnswer: 95.52703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-275)*110\/(-11)*(84\/(-12))\/(-21)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -116*u - 61. Let x be h(-5). Suppose 514*k = x*k - 2420. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 18. Let t(m) = -3*m + p*m - m - 4*m. Let u be t(2). Solve 2*o = -u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence knn when three letters picked without replacement from pnkkknkxkknpkn?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237492 = -3*x - 455451. Let o = x - -1394891\/6. Let k = o + -1491. Find the common denominator of k and -13\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (19975\/510)\/(2\/636)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**5 - 7348*k**4 - 13033128*k**3 + 39143432*k**2 - 39158108*k + 13055148 = 0.\nAnswer: -1109, 1, 2943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -112, -86, -46, 8, 76, 158, 254?\n\"Answer: 7*z**2 + 5*z - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25978*l - 512512 = -26000*l. Does 64 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*u, 2*u + 7 = 5*p - 45. Suppose -p*a = -17*a + 600. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*p = -9*z - 135*p - 1, -3 = -3*z + 3*p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*v - 10, 2*g - 26 = -4*v. Suppose -g*q + q = -48. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, b: 2, r: 4}. What is prob of sequence rb?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100611 - 31668 = -6*p + 48945. What are the prime factors of p?\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2904563 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154113249 greater than 1154113249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 2. Let q(r) = 5*r**2 - 17*r + 8. Let l(c) = c**2 - 4*c + 2. Let t(b) = 9*l(b) - 2*q(b). Give t(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) 4 (c) 2\/41 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 2534700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(6\/(-4))*1. Solve w*d - 10 = 0, 4*l = -d - 2 - 13 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d21 + 2?\nAnswer: d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 2 - 586*p + 591*p.\nAnswer: 5*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26256 and 16410?\nAnswer: 131280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**12\/(s**6*s\/(s*s*s**3*s*s))*(s*s**(-1\/3))**(2\/45)*(s*s**(-1\/3)\/s)**(-8) assuming s is positive.\nAnswer: s**(364\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223863107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.12.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15792098 equal to -15792101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17167, 34348, 51529, 68710, 85891, 103072?\n\"Answer: 17181*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6847.344 micrometers to millimeters.\nAnswer: 6.847344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*i = 5*i + 37, -3*o + i = -75. Suppose -4*u - 6 = -o. Suppose -2*h + 214 = m + m, u*h + 25 = 0. What is the highest common divisor of m and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1) + 2 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381665?\nAnswer: 5, 76333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-6 - -11))*(-4)\/6. Solve -6*v - 2 = -f*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06507747 rounded to four dps?\nAnswer: -0.0651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-2)\/(-3)*3. Suppose 3*g + 23 = 4*j + 8*g, -2*j = 4*g - 16. Find the first derivative of -j + x - c + 1 wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 7*j + 10)*(37*j**3 - 4*j**3 + 2*j**3).\nAnswer: 245*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 2*r)*(5 - 5 + 1) - 2 + 2*r + 2.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -33. Suppose 3*d + 1 = 2*d + 3*q, 4*q - y = -d. Suppose -5*t + 51 = 3*l, 0 = d*t + 2*l - 82 + 28. Solve 0 = -5*n - 7 + 27, 2*k + t = 2*n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9297 - -9300. Put q, 5, 4, 2, -12 in increasing order.\nAnswer: -12, 2, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from hmjmjhmjjjmj?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-three quarters of a kilometer?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 50*o**2 + 53*o**2 - 5*o)*(-2*o**2 + 2*o**2 - 2*o**3).\nAnswer: -6*o**5 + 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -358*l**6 - 2481*l**4 + 638*l**2 - 235*l - 3 wrt l.\nAnswer: -42960*l**3 - 59544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*z + z. Let v be ((-8)\/(40\/15))\/(6\/(-80)). Calculate the highest common divisor of v and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i. Let s(y) = 12*y**2 - 27*y**2 - 4 + 4. Calculate s(x(n)).\nAnswer: -135*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 7 - 1. Suppose 4*s = -c*b + 22, 4*b - 5*b + 4*s = 13. Solve b*a + 7 = -d, -a = -4*a + d - 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560013331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (689298\/20656)\/3. Let l = 2\/1291 + t. Find the common denominator of l and -9\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 80 = a. Suppose 3*f + f = 252. What is the remainder when f is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28588 + 28592. What is the nearest to 0.32 in s, -3, 0.4, 30?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 37 = 4*f, 2*q + 3*f = -2 + 26. Suppose q = -3*h, 4*h = -5*u + 2*u - 2154. Let g = 1085 + u. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 9*w**2 - 8*w - 3. Let f = -9 - -17. Let a be ((-33)\/9)\/(f\/12 - 1). What are the prime factors of b(a)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32121 (base 5) to base 13\nAnswer: ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -537794048.\nAnswer: -537794047.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15534814349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 1. Let h(v) = -693*v + 294. Let k(u) = -3*h(u) + 882*t(u). Let b(x) = -x. What is b(k(d))?\nAnswer: -3843*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2872056?\nAnswer: 2, 3, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -21 - 403*z**2 + 4 + 447*z**2 - 11*z. Let g be n(-2). Is 181 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -20, -1, -4, 6699 in descending order.\nAnswer: 6699, 0, -1, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -6.99 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -132883847 in descending order.\nAnswer: -3, -4, -132883847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m. Suppose 2 + 2 = 2*k. Suppose -k = -l - l. Which is the third smallest value? (a) m (b) -1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -352, -1, -5, -11 in descending order.\nAnswer: 1, -1, -3, -5, -11, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, i: 3}. Give prob of picking 3 s.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 162639 or 162640?\nAnswer: 162640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-5))\/((c\/(c**(2\/19)*c))\/c))\/((c*c*(c*c\/(c\/(c\/c**6)))\/c*c)\/((c*(c**(2\/5)\/c)\/c)\/c)))**(-1\/32) assuming c is positive.\nAnswer: c**(-713\/3040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 5, -1, -853, -9, 1, -4 in ascending order.\nAnswer: -853, -30, -9, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/355 + -348\/2485. Let s = -5.64 + -0.36. Let y = 4 + s. What is the nearest to -3 in -2\/13, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*b**2 + 0 + 2 - 4*b - b - 16*b**2 + 20*b**2 - 6*b**2 + 3*b**2 + 4*b**2 + (0 + 0 - 2*b)*(-b - b + 0*b).\nAnswer: 7*b**2 - 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-2 + (3 - -1)). Suppose 0*q + 8 = 4*q - 2*k, 3*k = i. Sort -3, -1, q in increasing order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/2280 and 71\/15504.\nAnswer: 77520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 140451 and -5?\nAnswer: -702255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 86.4767 - 86.13. What is r rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 2*u)*(-7 + 2 - 1)*(17 - 17 + 3*u**4 + 2*u**2).\nAnswer: 18*u**5 + 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + -67 - 90 - (-15 - -2).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 299 + 23. What is the highest common divisor of 69 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 5*l - 10. Let z be o(7). Let s = z - -42. What is the smallest common multiple of 8 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 - 8. Let u = 1.50000029 + h. Round u to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 4*v + 1 = 0, 2*n + 3*v - 2 = -0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 104*d**2 + 2621*d - 129. What is q(-61)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14804 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3381 divided by -3.\nAnswer: -1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/61*-1*-2. Suppose 16*d = 13*d - u + 5, -d + 7 = 3*u. Is d > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 6 = -b - 3*k, 5*k + 6 = -b. Factor 0 - 589*q**5 + 593*q**5 + 0 + b*q**4.\nAnswer: 4*q**4*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h**3 - 4. Let o(p) = 10*p**3 - 3. Calculate -3*d(q) + 4*o(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjkjwwjwwwjwk. Give prob of picking 2 w and 1 j.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67624511111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbxjxxaajyxaxxboyao. Give prob of picking 1 b, 1 o, 1 y, and 1 a.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 764 = -3*o, 23*o - 382 = -2*i + 22*o. Suppose 0 = i*s - 246*s + 165. Factor -8\/11*y - 2\/11*y**5 - 26\/11*y**s - 24\/11*y**2 + 0 - 12\/11*y**4.\nAnswer: -2*y*(y + 1)**2*(y + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 11) in base 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/3 + 440*m**2\/3 - 2964*m + 13824.\nAnswer: 4*(m - 9)**2*(m + 128)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/3 (b) -0.040567 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 35653*v - v**4 - 31 + 35654*v in the form z*v**4 + h*v + b*v**2 + w + j*v**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-2)\/(-3*2)). Let u = -7 + l. Let o(m) = u*m**2 + 0*m**2 + 4*m**2. Let z(c) = c. Determine o(z(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -915, -930, -953, -984, -1023, -1070?\nAnswer: -1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 - 16 = -11*w + 34 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from vmnsnm?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2. Let s(d) = -3*d - 10. Let g be s(-4). Let i(k) = 4*k - g*k - k. What is y(i(f))?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 46*m**2 + m + 43. Calculate s(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -30*r + 126 - 49. Factor 15\/2 + 57\/2*k - r*k**2.\nAnswer: -3*(k - 5)*(4*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146571229 take away -0.32083?\nAnswer: -146571228.67917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = d + 2*c - 15, 3*c = -d + 9. Suppose -3*o + i + 431 = d, -4*i + 7 = -9. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (8 - (-56 - -31))) + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8*(-456)\/513?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 9*g + 74. Let n be a(14). Suppose 146 - 178 = -n*z. Calculate the highest common factor of 88 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-2)\/((-80)\/10)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, h: 4}. What is prob of picking 2 h and 1 z?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/707328657 and 87\/314368292?\nAnswer: 2829314628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29\/5 of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 217\/(-35) - -2*(-12)\/(-20). Sort -1, 0, w, 8 in descending order.\nAnswer: 8, 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23129*t**3 - 56304*t**2.\nAnswer: -138774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -588b56 (base 12) in base 6?\nAnswer: -50315350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -804, 2, 5, -24.\nAnswer: -804, -24, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*j - 12. Suppose -j*u + 5 = 5*m - 9, 5*u - 5*m = 10. Calculate the smallest common multiple of u and 4\/6*12\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 367*w**2 - 125*w**2 - 122*w**2 - 25*w - 2 - 118*w**2 in the form g + y*w + n*w**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - d - 145. Let t be h(0). Let p = -90 - t. Suppose 0 = j - 6*j + p. Calculate the lowest common multiple of j and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -430, -1715, -3844, -6811, -10610?\nAnswer: -15235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13022 (base 4) in base 10?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11650*l = -9706*l - 34992 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-l + l + 2*l)*(-2*l - 2*l + 6*l) - 1 + 1 + 2*l**2)*(0*l - 3*l + 29*l)*(0*l**2 - l**2 + 3*l**2).\nAnswer: 312*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2 - (3 - -2)). Let c be (118 + i + -15)\/(3\/1). Solve -7*f = 2 - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Suppose -y = -0*y - 3. Suppose -y*j + 12 = -0*j. What is the remainder when j is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*q**2 - 6*q**2 - 62*q**2 to w*q + c + o*q**2 and give o.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 a when four letters picked without replacement from {a: 11, h: 5}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*l**2*s**3 + 2348*l**2*s**2*u**2 + l*s**3*u**2 - 102*l*s**3*u - 3*l*u**2 - 2*s**2*u wrt s?\nAnswer: -240*l**2 + 6*l*u**2 - 612*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -202221012 (base 3) to base 10\nAnswer: -15260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - 5*r - 6. What is j(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 4*v - v)*(2*v**3 - 1 + 1) + (-7*v**3 + 11*v**3 + 9*v**3)*(-2*v - 3*v + 4*v).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 2*p + 70 - 68 - p + 6*p.\nAnswer: 18*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.4225cm to micrometers.\nAnswer: 7474225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 17. Let y(k) = 4*k**2 - 5*k**2 + 1 - 4*k + 3*k**2. Let t(v) = -v. What is d*y(m) + 2*t(m)?\nAnswer: -2*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 280611 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/25 (b) 1\/11 (c) 0.2 (d) -0.2 (e) -3 (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*f = -43, -29*r + 25*r - 9 = f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 50 - 75 + 4*x + 224 + 38*x.\nAnswer: 3*(x + 3)*(x + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/55*(104\/(-6))\/4 and (2 - -1) + (-217)\/(-42).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 + 15*w**3 - 18*w**4 - 16*w**3 + 17*w**4 - 87 + 2*w**2 as p*w**4 + h*w + b + i*w**2 + v*w**3 and give b.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -2 + -6 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 508*v + 19. Is g(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6519, 14 in descending order.\nAnswer: 14, 0, -6519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-4)*2)\/((-2)\/1)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001332366762 rounded to six dps?\nAnswer: 0.001332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.07775 - 0.03475. Let r = j + -0.043. What is the closest to -2\/5 in 2\/15, 2\/11, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 10 = 2*o. Let l = o - 2. Is 21 + (-4 + l - -2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (3 + -3 - 1)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2730557 is divided by 2730479?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 12) in base 15?\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w. Suppose -4*o = -t + 2*t - 9, 0 = 5*t + 5*o - 45. Let v(k) = 8*k + 2*k - t*k. What is v(h(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32748 and 1104.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -144858405 divided by 9657227\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c. Let o(z) = 9*z. Calculate 26*j(g) - 6*o(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 + 104. Suppose 3*s = -d*s - 330. Let o = s + 69. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t**3 + 110*t**2 - 11*t + 11. Let s(o) = 2*o**3 + 28*o**2 - 3*o + 3. Let f(u) = -22*s(u) + 6*x(u). Find the third derivative of f(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45746, 45681, 45616, 45551, 45486?\n\"Answer: -65*s + 45811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 94980 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: Suppose -3*o + 25 = 31. Let p be (2 - -2)*1\/o. Let c(y) = 141*y**2 - 5*y - 1. Is c(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 2, 16 in decreasing order.\nAnswer: 16, 2, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7176903 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 15) in base 12?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161130837 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (9 - 32 - -16) + (-1 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/37)\/(-5*3*1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyhyyqhhqq. What is prob of sequence yqyq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 2*g + 4*g)*(13*g + 8*g + 2*g) + (-16 - 2 + 12)*(2*g**2 - 7*g**2 + g**2).\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/507 - 343\/2535. Let g be (2 + 2 + 0)*1. Let l(w) = w**3 - 4*w**2 + 2*w - 4. Let t be l(g). Which is the second biggest value? (a) 3\/4 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 576*i - 1224 = 612*i for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 117*v + 228. Let z be k(-2). Put 54, z, 5 in descending order.\nAnswer: 54, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f + 30*f = 20. Find the first derivative of -1 - f - 34*j**2 - 9 wrt j.\nAnswer: -68*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2*(-3)\/198.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 + -59. Suppose 2*s = d, -4*w + s = -2*w - 2. Solve 0 = 3*g + n + n + 9, w*g + 1 = -3*n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/3 and (-22 - -23) + (-123)\/(-150)*-1.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*w**2 + 18*w**3 + 118*w**2)*(46 + 26*w - 46)*(-1 + 4 - 4 + 4 + 2 - 5 + (-1 + 1 + 1)*(1 + 0 + 1)).\nAnswer: 936*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/6)\/(615\/2788)*(-6)\/4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4808 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from xdqpkxptq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -27*k**2. Let u be l(-1). Is u >= -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4034 (base 5) to base 8.\nAnswer: -1007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/222 and -127\/16620.\nAnswer: 614940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -110.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450351 is divided by 10983.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 138 = x, -3*x = -9*r + 6*r - 396. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 60 = 5*n. Let w = n + 26. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1013, 7642, 25635, 60674, 118441, 204618, 324887?\n\"Answer: 947*r**3 + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/3 (c) 17 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/13, 0, 5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15181\/11388 - -1\/3796. Which is the nearest to 13\/9? (a) 19 (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1245, 1709, 2975, 5445, 9521, 15605?\n\"Answer: 67*b**3 - b**2 - 2*b + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 0)*(0*g**5 - 3*g**5 + 0*g**5) + 3*g**5 + 3*g**5 - 8*g**5)*(0 + 0 + 3).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -20. Let j = 33 - s. What is the highest common divisor of j and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b7 - -2?\nAnswer: 14b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100946049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1084 + -1072. Calculate the least common multiple of 294 and k.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 8, -2\/9, 5, 0.076, 6?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2603 and 100969.\nAnswer: 1918411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -4*y + 27, 1455*h = 1450*h - 2*y + 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 9*k**2 - 1. Let p be b(-9). Let z be 2\/4*-2*p. Suppose a - 4 = -0. Sort a, 3, z in decreasing order.\nAnswer: a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 2. Let g be z(-4). Suppose -8*l + 30 = -3*l. Suppose 0 = 5*u + g*b - l - 6, -5*u + 9 = -b. Let m(i) = i**3 - 4*i**2 + 2*i + 2. What is m(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-seven halves of a kilometer?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 2 + -2 - -46 - 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**1)**(2\/9)*(x**(-1))**6 assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 1. Let w = 38 + -44. Give h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*z, 9*h + 9 = 8*h - 3*z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Let i be 4 + 0*2\/b. Suppose -i - 6 = -5*k. Solve -g - k*g = -3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + g**3 - 33*g + 33*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 2*y**2 - 6*y. Let d(p) = -4*p**3 + 9*p**2 + 24*p + 1. Let f = -1237 - -1239. What is f*d(g) + 9*w(g)?\nAnswer: g**3 - 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13467418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 247, 501, 847, 1285, 1815, 2437?\nAnswer: 3151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-32)*(-13624)\/(-83447)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:10 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = 5*r + 4*l, -4*r - 2*l - 180 = 2*l. Calculate the least common multiple of 4 and ((-8)\/(-14))\/((-12)\/r).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/2)\/((-2610)\/40))\/(22\/(-198)*-2)?\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662471583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18d (base 15) to base 14\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.171 - -1.829. What is the nearest to 0 in 0.27, -1\/4, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 956064.394107 and -5.\nAnswer: 956059.394107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -5364616\nAnswer: 26823080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4443540 and 53.\nAnswer: 4443593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 3*d**2 - 2*d + 4. Let l be q(0). Solve l*a + 16 = 0, -4*b = 2*a - a + 24 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 6, 28 in ascending order.\nAnswer: 1, 5, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {k: 6, n: 7}.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14588965441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 23341 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5892141703 to five dps.\nAnswer: -1.58921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and (56448\/1372)\/(1*1*(-3)\/(-21))?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2227.8 + -2228. What is the nearest to 3 in -5, -4\/5, r, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + -79. Let m = -188.1732 - d. Let g = -0.18 - m. Round g to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (8 - 16) - 22 - 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16832, 33681, 50544, 67427, 84336, 101277?\nAnswer: 118256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p + 5. Give s(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygjygyhyyyyeehey. Give prob of picking 1 j and 1 h.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, o: 6, h: 2}. Give prob of picking 2 o and 2 i.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7354.329 rounded to the nearest 100?\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 20 + 20 + (0*d + 0*d - 2*d)*(-1 - 2 + 10) - d + 0 + 0)*(2*d**2 - 2*d**2 + 3*d**2).\nAnswer: -51*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/36995592 and -133\/3588?\nAnswer: 480942696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**3 + 4000*z**2 - 8012*z + 4008 = 0. What is z?\nAnswer: -1002, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f + 16. Let w(t) = -15 + 24 + 0*t - 2*t - 6. Suppose 0 = -25*m + 84 + 316. Calculate m*w(a) - 3*x(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 32*d**2 - 129*d - 285. Calculate the remainder when j(36) is divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 1, e: 3, a: 1, q: 1, m: 3}. What is prob of sequence eam?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -0.1, 4\/5, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 6:49 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1510231132 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7645 is divided by 87.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1cc (base 13) to base 2\nAnswer: -101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 143, 177, 213, 257, 315, 393, 497?\n\"Answer: t**3 - 5*t**2 + 42*t + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2))\/sqrt(3) - (3 + (2 + sqrt(5))**2)) + ((sqrt(45)*3)**2 - sqrt(5)*1*4).\nAnswer: -7*sqrt(5) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 0 (c) 1\/3 (d) 2 (e) 0.1622 (f) -12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 7 - o**2 + 6*o + 0*o**2. Let f be x(-9). Suppose -4*k = -2*j - 72, 5*j - 88 + f = -3*k. Calculate the smallest common multiple of k and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.352? (a) -3\/5 (b) -4\/5 (c) 13\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 320\/103 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9 and 93\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -184882 (base 11) in base 15?\nAnswer: -594ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (158\/(-5) + 38 + -34)\/((-3)\/(-45)). Is a at most as big as 2.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (0 + 70\/14)) + 139397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(35) - sqrt(105)\/sqrt(3)) + (2*sqrt(420))\/sqrt(12))\/(sqrt(500) + 2*sqrt(500) - sqrt(5) - -3*sqrt(20)).\nAnswer: 2*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n - 224 = -688 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -19*q**4\/12 + 2*q**3\/3 + 79*q**2\/2 - 7*q + 4. Differentiate d(n) wrt n.\nAnswer: -38*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81548.\nAnswer: 2, 19, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(3) + 1)**2 + 4 + (1*((sqrt(300) + 1 + sqrt(300) - sqrt(300)) + sqrt(300)) + 1 + 2*sqrt(300))**2.\nAnswer: 162*sqrt(3) + 4813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26)\/7 + 6\/(-21). Let l = 14 + y. Suppose j - l = -j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1518 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*g**4 + 7*g - 1 - 8 - 5*g + 6 + 2 as s*g**2 + o + u*g + j*g**3 + z*g**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 3*c**2 + 3*c - 4. Give a(-3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207207*m + 207208*m + 7 = -2*q, 3*m = -2*q - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8562 * 0.2.\nAnswer: -1712.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/74 and -91\/16290.\nAnswer: 602730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17452, 17463, 17488, 17527, 17580, 17647, 17728?\n\"Answer: 7*y**2 - 10*y + 17455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 16*l - 12. Let d(m) = -m**2 - 15*m - 11. Let t(k) = -4*d(k) + 3*n(k). What is t(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 331*r + 883. Let v be g(-80). Sort 418, 1, v in decreasing order.\nAnswer: 418, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u - 35. Let j be r(0). Let f be (-118)\/(-5) - (4 + 154\/j). Suppose 65 = -19*q + f*q. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 244672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3112001 (base 4) in base 15?\nAnswer: -40d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7675773\/8 - 1143631045\/1192. Let d = 16\/149 - j. What is the common denominator of -37\/2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14811*u**2*z - 8*u*z + 48*u wrt u?\nAnswer: -29622*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 - y + 6. Let h be d(-5). Calculate the remainder when 8 is divided by 4\/(-26) + h\/(-52).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -p + 43, -1685*p = -1689*p - 2*c + 136 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1599 + 0*t**2 - 1617 - 1624 - 1595 + 6375 - 2*t**2.\nAnswer: -2*t**2 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*a**3 - a - 17*a**3 - 4 - 18*a**3 - 3*a**2 + 3 to b*a + v*a**2 + t*a**3 + y and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -143*w + 19. Is h(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 5*q + 4. Let p be c(-5). Let u be (-21)\/(-21)*-1*2. Let l = p + u. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - q = -14312, 4*q + 4263 + 19596 = 5*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737 is divided by 65.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfdfbffvfxfffd. Give prob of picking 1 f, 1 b, and 1 d.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -772 + 773. Sort -2, k, -34, 0.4.\nAnswer: -34, -2, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -124 + 119. Let p(m) be the second derivative of -m**6\/360 - m**5\/60 - 8*m**3\/3 - 6*m. Let a(c) be the second derivative of p(c). Give a(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3398490 and -1773.46.\nAnswer: -3400263.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y = -30*y - 74*y - 1617 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -6 + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*t. Let q = -6 + 8. Suppose t = 2*r + q*r - 4. Which is smaller: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42245501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1 - 17*b**3 + b + 60*b**3 - 3*b**3 - 20*b**3 - 19*b**3. Suppose 0 = 2*l + 2*l. Give y(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 823*d**7\/105 - 871*d**4\/24 - d**3\/3 - d**2 - 125. What is the second derivative of q(p) wrt p?\nAnswer: 19752*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18219 (base 10) to base 12.\nAnswer: a663","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - 43) + -54 + 52?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*u**4 - 1 + (-u + 5*u - 2*u)*(3*u**2 - 3*u**2 - u**3).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2935 divided by -62.\nAnswer: 2935\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 z, and 1 v when four letters picked without replacement from {y: 1, z: 6, p: 1, l: 1, c: 1, v: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 2 = -2*n, -3*n + 6*h - 9*h = 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = 4*d - 10. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2 + 1020*a - 512.\nAnswer: 4*(a + 128)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1392 and 2900.\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 17141 - 15)*(-2)\/(-5). Which is bigger: -6861 or z?\nAnswer: -6861","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 20*k - 14. Let t be c(19). Suppose 0*p = 2*p. Let w = 3 + -5. Sort p, w, t.\nAnswer: w, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2*(-4)\/(-12))\/((-1)\/3). Let c be (1 + -1)*(2 - 1). Suppose 3*d = -c*d - 5*l + 1186, -4*d - f*l = -1586. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 208\/3 + -131\/3. Let j = -26 + k. Let w = 0.35 + -0.15. Which is the closest to w? (a) -2\/19 (b) -2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 441*m**2 - 1331*m + 1. Let z be t(3). Solve -10\/9*c**3 + 16\/9*c**2 + 8\/3*c + 0 - 2\/9*c**z = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/(((b\/b**4)\/b)\/b*b)*(b\/(b\/((b**(1\/4)*b)\/b)))\/((b**4*b)\/b)*(b**(-1)\/(b**(2\/9)\/b))\/(b\/(b**(-2\/5)*b))**50 assuming b is positive.\nAnswer: b**(-647\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 644\/315 - (-2)\/(-45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223\/42 + -9\/14. Let k be 1 - (2 + -3 - -7). Find the common denominator of n and -4*(3 + 13\/k).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - -3) + 264)\/1. Suppose 0 = 7*y - 2*y - k. Let g = y - 51. Solve 0 = -r - 3*x + 11, 0*x = -g*r - 2*x + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 51, -3, -23\/15, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -134.60435 to 1 dp.\nAnswer: -134.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3 - 107*m*u**2 - 2*m*u + 1133*u**2 wrt m.\nAnswer: -6*m**2 - 107*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -16 + 2 + -6 + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 1 - 2 + 2*x)*(-50*x - 69*x - 108*x).\nAnswer: -454*x**2 + 227*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6315 + 6312. What is the fifth smallest value in 5, -2\/3, d, -0.1, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932 divided by 932?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132582 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1269\/172 <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 times -2910916?\nAnswer: 218318700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n + 6. Let p be u(5). Let f be p\/56 - (-74)\/(-14). Let d = f + 11. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 3. Let l be -4 - (2 + 3\/(-3)). Let a = l + 2. Let k be z(a). Solve -4*y + 3*y + 4 = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (2 + sqrt(180))*-6 - sqrt(15)\/sqrt(243))**2.\nAnswer: 2168*sqrt(5)\/3 + 378869\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*j + 4*j - 1218 = 107*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10950 and 105600?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 820 and 216808492?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 5*m**3\/6 - 3*m**2 + m. Suppose q - 6*q + 35 = 2*l, -3*q + 21 = l. What is the remainder when z(q) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 + 5*k + 1. Suppose 4*m - 10 = -3*l - m, 4*m = -l + 1. Calculate t(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2601*m + 390 = 2575*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3867614 - -0.03719?\nAnswer: -3867613.96281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 20 = 3*w - 2*r, -2*r = -5*w - 32. Let x(l) = l + 7. Let u be x(w). Let s(q) = 5*q + 1. What is the units digit of s(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -16?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50919 or -50921?\nAnswer: -50921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0*((w\/(w**6\/w*w))\/w)\/w*w)\/(w**(-4)\/w**(-1)) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*v + v + 4*v + (-2 + 2 - 3*v)*(2 + 0 - 5).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1. Let a(i) = i + 26. Let j(y) = a(y) - b(y). What is the tens digit of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110171935 a multiple of 2677?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8694 - -14292. Is k a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11385 + -22755\/2. Let q(w) be the first derivative of 0*w**5 + 0*w**4 + 0*w + 16 + h*w**2 + 0*w**3 - w**6. What is the second derivative of q(c) wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 748 and 154?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/13 in 2\/15, -1\/203, 3\/4, 7?\nAnswer: -1\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 542, 544, 546, 548?\n\"Answer: 2*j + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123442391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (20\/6)\/((-48)\/(-76)) and (-656)\/64 - (-1)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -6*u**5 + 21*u**4 + 1758*u**3 + 4599*u**2 - 46332*u = 0.\nAnswer: -11, -9, 0, 4, 39\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1214 times -9.13\nAnswer: 11083.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 109, 1079, 3717, 8857, 17333, 29979?\n\"Answer: 139*q**3 - 3*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 945 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7968, -31796, -71476, -127008?\n\"Answer: -7926*o**2 - 50*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79195.\nAnswer: 5, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 258, -2 in increasing order.\nAnswer: -3, -2, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35056467454 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -482*a*s**3 - 3472*a - s**3 - 533*s**2 - 4*s + 2 wrt a.\nAnswer: -482*s**3 - 3472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37241 is divided by 1223?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 3. Let n be o(5). Let y be -1*3\/2*(-16)\/6. Suppose -n*f + 64 = -y*p, -2*f - p + 137 = 2*f. Calculate the remainder when f is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2844.3429 months in years?\nAnswer: 237.028575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 3) + ((-69)\/276)\/(1\/(-124))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.538865 milliseconds to hours.\nAnswer: 0.0000029274625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffffffffffffyffffffy.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/((-3780)\/40))\/((-1)\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-4) - 23\/(-4). Suppose 5*o = 2*w - 10, b*o = -4*w + 21 - 1. Suppose -2*i + 45 = 5*t - 6, 2*t + 6 = o. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f - 3*f, -2*n = 3*f - 20. Suppose 0 = 2*b - n*b - 34. Let x = b - -24. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 979854150, 979854151, 979854152?\n\"Answer: d + 979854149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892183535?\nAnswer: 5, 293, 608999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -184 + 191. What is the first derivative of -5*y - 12*y**3 + 30 + 2*y**3 + w + 22 wrt y?\nAnswer: -30*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (870\/29)\/(-30)*(-3)\/17.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24.7, -1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/7))**(-4\/3)\/(w\/(w*w**(-2\/5))*w)**(1\/13))**(-3\/29) assuming w is positive.\nAnswer: w**(1447\/13195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14044.\nAnswer: 2, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -4166?\nAnswer: 4173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4731244 to the power of 1\/2, to the nearest integer?\nAnswer: 2175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 75. Let a = 42 - c. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)*a**(-2\/3)*a)\/(a**(-3)\/a**0) assuming a is positive.\nAnswer: a**(64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3\/5 (c) 1.8 (d) -488\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 371.95 * 0.3.\nAnswer: 111.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -36*l**3 - 3*l**2 - l - 3. Let i be r(3). Let y = 188865 + -751413\/4. Let f = i + y. What is the common denominator of -8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 157*v - 198. List the prime factors of m(10).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 + -1641\/11. Let h be 2\/4*5\/(75\/10). Which is the closest to 0? (a) h (b) 0.4 (c) j (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 14*z - 5. What is g(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, x: 4, b: 2, i: 1}. Give prob of picking 1 u and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-21))**(-30\/7)*(z*z**3)**(3\/41) assuming z is positive.\nAnswer: z**(3702\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 21*m**2 - 16*m + 434. What is the remainder when 996 is divided by s(-22)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30\/19 + 12761\/8094. What is the nearest to 0 in g, -2\/17, 10, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33957799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3105)\/(-1656))\/((-115)\/3128)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83132 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116872732 to the nearest integer?\nAnswer: 10811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 2*p**6\/15 + 368*p**5\/5 - p**4\/3 - 736*p**3\/3 + 6084*p. Factor j(v).\nAnswer: 4*v*(v - 1)*(v + 1)*(v + 368)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -4*j**5 + 246*j**4 - 360*j**3 - 2*j**2 + 120*j = 0.\nAnswer: -1\/2, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51478 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340891 is divided by 626?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 12*h + 8*h - 28222, 4*b = 4*h + 22580. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.025, -16, -14\/23, -0.5 in descending order.\nAnswer: 1.025, -0.5, -14\/23, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -11 - (-90)\/(-15). Let i(l) = -12*l - 171. Let m be i(f). Solve -13*k + m = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 4*y - 87884, 4*h + 5*y = 4*y - 87893. Let v = h - -36760. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*x - 16, 0 = 3*a + 26*x - 31*x - 14. Suppose 0 = 3*c + a, -7*u = -12*u + 3*c + 33. Calculate the highest common factor of u and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 + 5?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0998 + 1.2002. Put 0.2, q, 0.3, -0.5, 0.5 in decreasing order.\nAnswer: q, 0.5, 0.3, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51.9 - 52. Let u = 52 + -51.986. Let k = 0.066 + u. Which is the third biggest value? (a) 2 (b) f (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001704 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114894327 is divided by 2698?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 9. Let p(i) = i + 11 + 0*i + 7. Let n(d) = -3*p(d) - 5*y(d). What is the units digit of n(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 58*f**3 - 4*f**2 - 6*f. Let v(k) = 176*k**3 - 11*k**2 - 17*k. Give -17*b(d) + 6*v(d).\nAnswer: 70*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r = 0. Suppose -5*j = r, 3*g - j = 2*g + 33. Suppose 53*m - 1170 = -12*m. What is the remainder when g is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2006*s + 111135 + 522087 = 2980*s for s.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + -2*sqrt(192) + sqrt(3) - sqrt(108).\nAnswer: -13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/6755 and -4\/17563.\nAnswer: 87815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 3. Let o = -15.5 - -16. What is the nearest to 0.1 in o, 2, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4478281 is divided by 6615?\nAnswer: 6541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8337 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -3*p**2\/2 - 79. Let k(z) = -55*z**2. Determine k(m(v)).\nAnswer: -495*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (96\/72)\/((-1)\/(-45)). Solve -27*q - 21 = d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 241, 238, 233, 226?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 12. Determine a(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372267?\nAnswer: 3, 7, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8640 and 400?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 538284 and 9738?\nAnswer: 873634932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3596 or -3633?\nAnswer: -3596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -62*o**2 - 33*o + 11. Let j(n) = -21*n**2 - 11*n + 4. Let v(f) = 4*i(f) - 11*j(f). Find the second derivative of v(q) wrt q.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5391937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/43858598 and -101\/132972.\nAnswer: 263151588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iispisiiss. Give prob of sequence spii.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005721653813 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -23. Solve -t*b - 8 = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (180\/48)\/(6\/8). Put r, 214, 4 in increasing order.\nAnswer: 4, r, 214","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/6)\/1*0. Suppose -3*d - 2 + 32 = o. What is the remainder when 29 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -5, -636, 8.\nAnswer: -636, -12, -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3797928.4056 + -3793735. Let g = w - 4177.4. Let o = -16 + g. Round o to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339 - 3993*v - 339.\nAnswer: -3993*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbm when three letters picked without replacement from noobmmo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38121 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7429 and 1683.\nAnswer: 735471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 20*n - 7. Let b be r(5). What is the tens digit of (-5)\/((-20)\/b)*(-32)\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f - 150*f + 133*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -349 (c) 4 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) -1\/10 (b) 0.4 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/(-5) - (-36 - (2 + -49))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 207020960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 3*d**2 - 7*d - 14. Let w be j(-3). Let r(t) = 3*t**3 - 12*t**2 - 5*t + 3. What are the prime factors of r(w)?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203868\/31 equal to 6577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 18 + (87 - (0 + -6 + 3))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3564 and 77?\nAnswer: 24948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 7 + 11. Let c be (0 - (-2)\/v) + -2. Suppose c = a - 13 - 19. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10982*p - 92566. Determine b(-9).\nAnswer: 6272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 = -10*r - 642. Let s = r - -109. Let b(i) = 2*i**3 + 7*i**2 + 2*i + 4. Let v be b(s). Solve 3*o - 5*o - 5*p = v, 5*o + p + 6 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 8138\/169 - 6\/39.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 2, v: 4, l: 3, r: 1, x: 8}. Give prob of sequence lrt.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*a**3*i**5 + 100*a**3*i + 981*i**5 + 3805*i wrt i.\nAnswer: 2860*a**3*i**3 + 19620*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15087077.5 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 728 and 234234.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -448.04 times -1.0954?\nAnswer: 490.783016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 18. Let l = z - 7.126. Let a = -0.1260053 - l. What is a rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 10:32 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7984168*u**4 + 7*u**3 + 146601*u + 2 wrt u.\nAnswer: -95810016*u**2 + 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.63138ml in litres?\nAnswer: 0.03163138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 + 463*h**2 - 241*h - 2066. Calculate q(-232).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 42 = -3*a + 5*i, -5 = i. Let j be 48*3\/a*3. Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/9)\/((-2)\/15). Let k = -3 + 4. Let x be k\/(-2)*2\/(-7). Which is the biggest value? (a) i (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*x - 40 = 0, -2 = -o + 3*x + 3. Let t = o + 9. Suppose -10 = -4*f + t*f, 3*f = -3*j + 30. Solve 34 = 6*k - 3*k - j*c, 5*c = 2*k - 31 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -16, -60, -142, -274, -468, -736?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.73 in -2\/3, -0.05, -7, -3, -5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4901?\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 351*n**2 + 9438*n + 20304.\nAnswer: 3*(n - 72)*(n - 47)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12044*z**4 + z**3 - 2*z**2 - 98*z + 91.\nAnswer: -289056*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = y - 3*y. Let h(t) = -t**2 + 1. Let i(w) = -w**3 - 4*w + 5. Let k(j) = 6*h(j) + i(j). Let c be k(y). Which is bigger: 14\/3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40145452 + 10?\nAnswer: -40145442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1724 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 12 = 3*b. Let h be 3*3 + -2 - -1. What is the units digit of 2\/b - (-12)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1\/360731968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 146372981 rounded to the nearest one million?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -170. Let t(s) = -4*s**y - 167*s + 2*s**2 + 165*s + 2 - s**3. Let h(c) = 5*c**3 + 3*c + c**2 + 0*c - 4*c**2 - 3. Give -2*h(f) - 3*t(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/22 and 35\/638?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 24*d**2 - 35*d + 21. List the prime factors of c(22).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 14. Let m = 2092.1 + -2092. What is the closest to -1\/3 in m, c, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 + -1222\/9. Sort -0.5, -14, o in descending order.\nAnswer: o, -0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7)*p*p\/(p*p**3)*(p**0)**(-1\/12))\/(p*(p\/(p*p**(2\/3)\/p*p))\/p*p\/(p**(3\/4)\/p)*p**(-1\/5)*p**(1\/6)) assuming p is positive.\nAnswer: p**(-397\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-2*2*-5.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:09 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 479 = -379 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 8:00 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 2*b**2 - 3*b**2 + 3 in the form m + z*b**2 + q*b and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-12)\/6*(-3)\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -730*h + 728*h = -328. Let w(s) = h*s**2 - 4 + 2*s - 53*s**2 - 60*s**2 - 53*s**2. Let n(o) = 4*o**2 - 4*o + 8. What is -2*n(y) - 5*w(y)?\nAnswer: 2*y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.86 + 0.06. Let r = -1.5 - j. Let z = 0.5 + r. Which is the closest to -1? (a) z (b) 1\/5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 2452*p + 751538.\nAnswer: 2*(p - 613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235521 divided by -2?\nAnswer: -1235521\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1571, -12645, -42717, -101285, -197847, -341901?\n\"Answer: -1583*p**3 - p**2 + 10*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-70)\/(-126))\/(-5))*(-6)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 + 119*m - 11202. Let w(a) = a**2 - 42*a + 3734. Calculate 6*g(k) + 17*w(k).\nAnswer: -k**2 - 3734","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1 = -w - 3*r, 5*w + 4*r - 60 = 0. Suppose -2*t + w = -0. Suppose -k - t - 32 = 0. Round k to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by -6?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -3*o - 18. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*j**2 - 42*j**2 - 9*j**2 + 151*j**2 in the form t + x*j**2 + y*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 10) + -11 - (-1 - (-12 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2\/3, 4 in decreasing order.\nAnswer: 4, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 8034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbuzubmkvuvbbvv. What is prob of picking 1 u, 1 b, and 1 k?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**8\/1008 - g**7\/90 - g**6\/72 + 7*g**5\/180 + g**4\/12 - 5*g**2 - 39*g. Find z, given that a(z) = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 11 = 5*v, 2*f + 11 = -v + 6*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1643063 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - 5866?\nAnswer: -5847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1430 - 3?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + 3a829?\nAnswer: 3a834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14492004.\nAnswer: 2, 3, 31, 163, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -227477.15 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.7 - 16.4. What is the fourth smallest value in f, -0.4, -3, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 2 + 5 + 12 + -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 + 71. Let j(i) = -i**3 - i**2 + i + 58. Let m be j(0). List the prime factors of ((-20)\/t + 3)*m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 + -161.5. Round a to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (19\/(-38))\/((-1)\/1674)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/5 - (-424)\/40. Let u = 15 - m. Solve u*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*v - 6*v - 17*v + 52 to a*v + m and give m.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -34. Let j = z - -53.1. Which is the nearest to 0? (a) -5\/2 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51627 is divided by 394?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + -111110111111001010111?\nAnswer: -111110111111001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2661 > 2341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 22. Let b(f) = 4*f - 4. Let a(h) = -3*h + 3. Let r(o) = d*b(o) - 5*a(o). Determine r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-36)\/(-15))\/((-638)\/(-319)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 8380*o - 1116000.\nAnswer: 5*(o - 124)*(o + 1800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-3)\/(1*18)). Suppose 3*t + 3 = y, 0 = -5*y - 4*t - 0 + 15. Let r = y + c. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:53 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3121221ug to milligrams.\nAnswer: 0.0003121221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33\/4 - -17\/2. Suppose -38 = 4*p + 42. Let k be (3\/5)\/((-30)\/p). What is the nearest to -1 in h, k, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10719523?\nAnswer: 10719523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9778*i - 146647. Give h(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:38 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -57236, -114423, -171554, -228629, -285648?\n\"Answer: 28*q**2 - 57271*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 808853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12416 divided by 64\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**1\/t)\/(t*t\/(t*(t\/t**(-5\/6))\/t)))\/(t**(-5\/7)\/(t*t**(2\/33))))**31 assuming t is positive.\nAnswer: t**(23033\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 442*w**2 - 878*w - 438.\nAnswer: -2*(w + 1)**2*(w + 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myyo when four letters picked without replacement from ywwwyomwwwywwwowywo.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.91 - -0.09. Suppose -4*z + 15 = 3*o - 2, 5*z - 5*o = 30. Suppose 6*r - z = -5. Which is the third smallest value? (a) -0.3 (b) r (c) -1 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242196 is divided by 707?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(1\/7)*s*s)\/s*s**(-2)*s)\/(s*s**7\/s*s*s\/(s\/s**(-5\/2)*s*s)))\/((s**(-2\/3))**(-4\/9))**1 assuming s is positive.\nAnswer: s**(-1003\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/5837?\nAnswer: 3\/5837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {w: 5, z: 1, c: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9684.5 + 9685. Which is the nearest to 1\/4? (a) n (b) -0.3 (c) -1\/7 (d) 3.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280110149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 - 44. Suppose 14 - 1 = 5*b - n*v, 3*v = -3. Let k be (6 - 1) + -2 + b. Solve 4*d = -3*r + 8, 4*r = -k*d - r + 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 = -10*n + 5. Let z be -6*-3*11910\/n. What is z rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a + 3361 + 4262 = 670*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(1\/72). Let m(p) = 82*p - 13988. Let t be m(170). Is o less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - ((sqrt(121) - (sqrt(121) + -1*sqrt(121)))*6 - sqrt(121))))\/(sqrt(11)*-1*-6) + (3*(2 + -2*sqrt(1100)))**2*-1.\nAnswer: -39636 + 4325*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23614*g**3 - 2*g**2 - 525930*g?\nAnswer: 141684*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 274183756 and 770?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:31 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 90.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, p: 3, s: 1, a: 6, i: 1, z: 1}. Give prob of picking 1 i, 1 s, and 2 p.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(76)*-1 + 4*sqrt(1900)*-1.\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 6*f - 94, 0 = 4*j + 3*f - 42 + 75 - 82 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 21838 - 8360 = 0. What are the prime factors of s?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2017, 2062, 2107?\n\"Answer: 45*v + 1972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2 + 11*o**3 - 12*o**3 + (2 - 2 + 2*o)*(o - o + 2*o**2).\nAnswer: 3*o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1503791301 + 172.\nAnswer: 176.1503791301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7643 + -4777. What are the prime factors of n?\nAnswer: 2, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4397 - 8792 + 8715*s + 4395.\nAnswer: 8715*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (772*u - 26 + 28 - 2)*(7 + 1 - 1)*(-2 - 4 + 3)*(0*u**2 + 2*u**2 + 0*u**2).\nAnswer: -32424*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 3:06 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8891*k - 2352 = 8891*k - 17831*k for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -56*y - 610. Calculate the remainder when y is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -27*o**2 + 45*o + 45. Let t(r) = r**2 - r - 1. Let g(l) = -l - 9. Let n be g(-10). Let k(y) = n*d(y) + 45*t(y). Let z(x) = -4*x**2. What is z(k(a))?\nAnswer: -1296*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 28*u + 246. Let w be n(-35). Let q(r) = -r - 1. Let t(a) = 10*a + 10. Calculate w*t(o) + 15*q(o).\nAnswer: -5*o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(133)*-1 - (2*sqrt(133) + sqrt(133))*-1)\/(sqrt(700) + sqrt(700)*2*-3).\nAnswer: -sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -0.2, -0.3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 120 - 89. Suppose 349 = -8*y + 1333. What is the remainder when y is divided by q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15384 + 15384 - r**2 + 78*r.\nAnswer: -r**2 + 78*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 134*t - 18*t = -2451 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 505440 and -3.\nAnswer: -1516320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 61. Give i(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 - 15 + 13)*(-4*s**4 - 31*s**3 + 31*s**3) + (2*s**4 + s - s - s)*(-1 + 5 - 3) in the form p*s**3 + a*s**4 + w + n*s**2 + m*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*b - 3*d, 0 = -b + d + 1 + 15. Solve 10 = 6*o - b*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 87 + 73 + (-2 + 5 - 1)*(-2 - 1 + 4))*(2*n + n - 2*n).\nAnswer: 175*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3 - 19, 5*d + 28 = 2*a. Let v = 1 + -3. What are the prime factors of v\/(-3)*90\/a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*l + 66 = 25*l - 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1282838503\/710 + -1806814. Let y = w - -1\/142. What is the closest to -0.1 in -0.4, 2\/15, y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4542 + 149857\/33. Calculate the common denominator of -145\/12 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*t + 9412 - 12858 = 706*t + 28411 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1573) + (sqrt(1573) - ((sqrt(1573) - (sqrt(1573) + 1 + sqrt(1573) + 2)) + sqrt(1573))))*-1)**2*3.\nAnswer: 1584*sqrt(13) + 75612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -360 by -72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30440 = 1551*j + 87436 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 5 - ((8 - 0) + (12 - 14))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-10)*(-96)\/18\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + (-30)\/6*1 + 3344. Let g be 4 + (-2 - (-3 - 2)). Suppose 0 = -g*i - 1030 + q. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 885 = s + 889, 4*s + 3*v = 44 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5.5, -1 in increasing order.\nAnswer: -5.5, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5}. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 4*a - 4. Let k be j(-4). Let l = k + 51. Which is smaller: l or 4\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 212873272, 425746544, 638619816, 851493088, 1064366360?\nAnswer: 1277239632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**6\/40 - s**5\/60 + s**4\/12 - s**3\/6 - 4*s**2. What is the remainder when 27*(-2 + 2 - -1) is divided by j(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 70 = -k. Suppose 9*z = k*z - 2820. Suppose -j + 5*j - z = 0. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 18. Let w be (-60)\/t - 2\/(-6). Suppose 0 = -5*q - 2*j + 389, -q + 67 = -0*q - 5*j. Calculate the greatest common factor of q and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.732 - -388.268. Let z = 393.86 - k. Round z to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*p + 11*p + 19*p + (-2*p + 2*p - p)*(2 - 4 + 1))*(-p - 5*p - 3*p)*(1 + 2 + 2) to z*p + l + r*p**2 and give r.\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j. Let z(t) = -2*t**2 + t + 144. Determine f(z(d)).\nAnswer: 6*d**2 - 3*d - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-16)*12*30\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millimeter in micrometers?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2 - 399\/(-42). Suppose -16 = -c*q + 8. Let y = -5 - -10. What is the lowest common multiple of y and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17020 and 860990?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:32 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 982687 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + -36. Let u = n + 53. Suppose -9*f - 16 = -5*f. Which is the nearest to u? (a) 0.1 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/4 - 11*b**3\/4 + 253*b**2\/2 - 465*b + 450 = 0. Calculate b.\nAnswer: -30, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2126480 divided by 3\nAnswer: -2126480\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.01 (c) -1\/5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001168163 to six dps.\nAnswer: -0.001168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from yyyqyqy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*b**3 + 47*b - 78 wrt b?\nAnswer: 48*b**2 + 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12375 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 - ((9 - 0) + -1) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 4:10 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431979 is divided by 122?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003886 rounded to seven dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-196)*(-9*2)\/(-6))\/(144\/21)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002157 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3)*(-3)\/(-9))\/(2\/(-66))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -24\/29, -2\/577?\nAnswer: -24\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and ((-240)\/(-9))\/(4\/36).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8247 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3252.95 + -3347. Let d = -0.95 + u. Let j = -95 - d. Which is bigger: j or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 7. Let t be j(-6). Let x be t\/6 - 770\/12. What are the prime factors of x\/(-6) - (-2)\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 + 3*a**2 - a. Let f(l) = -10*l**3 - 8*l**2 + 2*l. Let r(h) = 5*f(h) + 12*w(h). Factor r(g).\nAnswer: -2*g*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 146.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 252*d - 247*d + 89, -2*b + 321 = 3*d. Let q = -110 + 174. Calculate the lowest common multiple of q and b.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/384)\/(1\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:19 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 - 42 = 3*w - m, 4*w - 5*m = 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/8)\/((9477\/(-156))\/(-81))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 13*w - 15*w. Calculate the remainder when 3 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2\/3 + 8193012*q + 49158056\/3 = 0. Calculate q.\nAnswer: -6144757, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:28 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.29 - -3.09. Let q = m + -3. What is the closest to 3\/5 in 0.3, 4, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -53 + 61 + b + 2*b. Let j(z) = 2*z**2. Give j(p(s)).\nAnswer: 18*s**2 + 96*s + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j - 2*j + 0*j + 5 - 2*j + 0*j. Determine n(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of 1\/6*f**4 + 0*f**3 + 3 + 0*f**2 + f. Let v(l) be the first derivative of s(l). Let y(o) = -4*o**2. Give v(y(j)).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7 - 5 + 6*q - 5 - 20*q in the form o + s*q and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*f - 249*f + 1790 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**3 - 3*z**2 + 14*z - 53. Suppose -2*v = -6*v, 2*v = -3*w + 36. Is f(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p\/(p\/p**(-7\/4)*p)))\/p)\/p*p)**(-14\/5)\/(p**7\/(p*p*p*((p**(-31)*p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-93\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/4))**(1\/8))**(-3\/22))**(-2\/121) assuming s is positive.\nAnswer: s**(-3\/42592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 78.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 249474075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5055112 (base 6) to base 13\nAnswer: 85847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-4))\/(5\/10). Suppose 2*k + 5*a - 35 = x*a, -5*k + 77 = -a. Solve -6*u + k = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -15, -o - 10 = -5*d + 6 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3*(-8)\/12). Let f = 29 + k. Let q = 40 - f. Calculate the remainder when 52 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 87?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 24*s**3 + 55*s**2 - 10*s - 45. What is p(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:30 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5736 + -5728. Solve -3*x = 2*l + 12, 3*l - 9*x + q*x - 4 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.1 - -18.4. What is the nearest to f in -2, 5\/4, -1?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 393\/(-15) - 2\/(-10). Let a = y - -28. Suppose -a*g = -6*g + 36. What is the smallest common multiple of 8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a factor of 1168119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -653 + 1. Is (-2)\/(-3) + b\/(-12) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*q + 9 = -406, 0 = -4*l - 2*q - 554. Let s = -89 - l. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1787, -2, 14 in ascending order.\nAnswer: -2, 14, 1787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20691 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 14 - 28*198\/504.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -20176042?\nAnswer: 20176042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -6.538249 and 5891.7154.\nAnswer: 5885.177151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8 = 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0203780934 to 4 dps.\nAnswer: -0.0204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664376 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**2 - 6*a - 4. Let q(t) = 8*t**2 + 16*t + 3. Let u(k) = 2*k**2 - k + 2. Let d(v) = q(v) + 3*u(v). Give -6*d(m) - 13*p(m).\nAnswer: 7*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 1. Let b = -1577 + 961. Let k = 620 + b. Solve t - 13 = 2*t - 3*l, -k*l + 4 = q*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/30 + 3*d**4\/8 + d**3\/3 - 23*d**2. Let l be r(-5). Let s = 20 - l. What is the greatest common factor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-3)\/30*2). Let z be l - ((-4)\/(-2) + -1). Solve -y = z*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**2\/4 - 29*j\/4 + 7 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -225540 (base 7) in base 3?\nAnswer: -2001102110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1797876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -356*t**7\/15 - t**5\/30 - t**4\/24 + 22*t**3 - 11*t**2 - t - 22. Find the third derivative of m(y) wrt y.\nAnswer: -119616*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 2:43 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 28. Suppose c*d + 202 = 946. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -8.6. Let v = 3895 + -3896. Suppose 3*t + 15 = -2*t. What is the closest to r in v, -2\/9, t?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010100011010 + -11?\nAnswer: 10001010100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 321*u**2 - 10*u + 14. Suppose -m - 6 = -2*n, 0*n + 5 = 5*n - 5*m. Is i(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + 1 + -3 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1)*-6)\/((-186)\/5828*10\/5)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -19*k - 145. Let w be n(-25). Suppose 0 = 3*m - 843 - w. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 11*r + 22*r - 14*r.\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10)*(13 - 3). Let x = i - -6. What is the first derivative of 6*c + x - 5 - 4*c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 10:21 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 39\/65*(-1 + 6). Solve -4*b + f*b + n = 1, -2*n = 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 62.\nAnswer: 62.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114071360 divided by 335504.\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13232 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7160 - -33332. Does 36 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c + 20. Let b(q) be the first derivative of q**4\/4 - q**3\/3 - q**2\/2 - 2460. Let g(p) = -p**3 + 2*p**2 + 2*p + 1. Give c*b(h) - 2*g(h).\nAnswer: -2*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*p + 58*p = 2060. Let x be 222\/18 - 1\/3. What is the highest common factor of p and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2312.8 and -1957?\nAnswer: -4526149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -108 (base 13) to base 2.\nAnswer: -10110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1835, 1833, 1831, 1829, 1827, 1825?\n\"Answer: -2*a + 1837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**3*v - 10643*o**3 + 6*o**2*v + 3*o**2 + 60*v wrt o?\nAnswer: 6*v - 63858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8355548 litres to millilitres.\nAnswer: 835.5548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -55043, -55032, -55021?\n\"Answer: 11*t - 55054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/(-18))\/((-10)\/45))\/(20\/(-35))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 12*l**3 - 39 + (-79*l - 13*l**3 + 79*l)*(-1 + 4 + 4) to d*l**3 + j + k*l + h*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 129 + 17 = 0. Suppose -18*n + 70 = -p. Solve -3*r + n = -7*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = 54. Let w(s) = s**3 - 4*s**2 + s + 3. Suppose 30 - 10 = 5*j. Let d be w(j). What is the highest common divisor of d and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 710*g**3 + 1893*g**3 + 1404*g**3 + 11.\nAnswer: 2587*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -93 + 87 + 3*r**2 - 6*r - 14*r - 4*r**2. Let c be m(-19). Solve -3*z - c = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(2\/21)\/f)*f\/(f\/(f*f**(-6)*f)))\/(f\/(f**6\/f*f))**(4\/23))**(2\/91) assuming f is positive.\nAnswer: f**(-2150\/43953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10244, -12416, -14588, -16760, -18932, -21104?\n\"Answer: -2172*l - 8072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-594)\/8)\/9*14648\/(-16479)?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 812*w**2 + w - 1. Let g be k(1). Suppose -g + 252 = -5*p. Does 12 divide ((-6)\/(-8))\/(7\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 7366?\nAnswer: -735a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = 0, 2*d = d - 86*m - 95*m + 180*m - 11 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 162933136273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 less than 10972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 873, 866, 847, 810, 749, 658?\n\"Answer: -a**3 + 874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -274*b**2 - 3*b + 2. Let p be k(6). Let d = p + 15980. Round d to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/9 at most as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d + b - 1, 3*d - 2*b = 12. Suppose 0 = -d*m - 0*m - 4*f + 158, -3*f = -2*m + 165. What are the prime factors of (-54)\/m*(-882)\/4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2982.5339926 + -2985.134. Let g = -2.6 - v. What is g rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 412 - 1501610?\nAnswer: -1501165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {z: 3, m: 15}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604 is divided by 329?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 544, 549, 556, 565?\n\"Answer: x**2 + 2*x + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.5 (c) 0.1 (d) 4423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiijjjiiiiiiji. What is prob of sequence iijj?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -466 - -465. Sort o, -3, 1\/8, -11 in ascending order.\nAnswer: -11, -3, o, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 22. Let r(b) = -18*b. What is t(r(q))?\nAnswer: -18*q + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5063 times -5?\nAnswer: -25315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 3 + -7 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -432*x + 419*x + 299 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 16) to base 6.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 - 14858*d**2 - 656656*d - 7233864 = 0. Calculate d.\nAnswer: -22, 7473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18121067 - -6.5.\nAnswer: -18121060.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 20 = -5*c. Let f be ((-4)\/(-10))\/(2\/c). Suppose 0*a - f*a + 4 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 7*o**2 + 7*o - 1. Let g be k(6). Suppose -4*q + 2 + 18 = 0. Suppose m = -5, -g*m + q = 7*c - 2*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5682 divided by 1894\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 396 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 35. Suppose 0 = -2*z - 0*z + 6, 0 = -3*m + 3*z + a. Suppose 0 = 5*h - j + 2*j - 13, -m = -4*h + j. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2660303*u + 532461?\nAnswer: -2660303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-80 + 77 - (0 - 23)) + (-1 - -7))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 5*w + 1. Let z(f) = -f**2 - 15*f + 22. Let a be z(-16). What is o(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116570.\nAnswer: 2, 5, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*r**3 + 1089*r**4 + 66*r**3 - 95*r**3 + (-3*r**2 - 2*r**2 + 3*r**2)*(0*r**2 + 3*r**2 - 5*r**2).\nAnswer: 1093*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 118342517.\nAnswer: -118342517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1274 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2411, -2415, -2405, -2375, -2319, -2231, -2105, -1935?\n\"Answer: b**3 + b**2 - 14*b - 2399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 - 0.5. Let n = p + 1. Let h = n - 4. Which is the nearest to -1? (a) -1\/6 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/60 + k**5\/75 + 3*k**2 + 2*k. Let r(t) be the first derivative of f(t). Factor r(j).\nAnswer: 2*j**2*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 72\/5*n**2 + 48\/5 + 3\/5*n**4 - 24\/5*n**3 - 96\/5*n = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12297 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = -s. Let d be 1\/s + 15\/10. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vllllllvvll. What is prob of picking 1 l and 3 v?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279721077?\nAnswer: 3, 17, 322631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -39*b**3 - b**2 + 1. Let r be l(-1). Let v = 6 - 8. Is (v\/6)\/((-1)\/r) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -18 + -6 - -36?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 8. Suppose -z = -3*c + c + 5*k, 0 = 5*k + 15. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.763364nm?\nAnswer: 0.000000001763364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/5 + 52*d**3 - 11154*d**2\/5 + 35152*d - 913952\/5 = 0.\nAnswer: 13, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29356.47cm?\nAnswer: 293564700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47826, 200849, 455886, 812937, 1272002, 1833081?\n\"Answer: 51007*z**2 + 2*z - 3183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 + 60*c - 5265.\nAnswer: 5*(c - 27)*(c + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(266)\/(sqrt(7)*-1) - sqrt(38))\/(sqrt(4)\/sqrt(2)*-6).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-6) - (-2)\/3. Suppose -o*c = 3*c - 10. Let m = -1\/29 - -33\/116. What is the second biggest value in m, c, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7233387 a multiple of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/73 + 301\/219. Let s be (-2)\/((-56)\/(-100)) + 3. Let q = 87.4 - 87. Which is the smallest value? (a) q (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*c - c. Suppose c*d = 6*d - 2. Suppose d*k - 2*x = 4, -2 + 4 = k + 2*x. Calculate the highest common factor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -173*c + 723. Let v be a(4). Solve 3*z = -v + 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 5751072.\nAnswer: 5751071.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162350 rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3084 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -0*u - 2*u, 2*u - 9 = -26*p + 89 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 4\/3. Which is the closest to u? (a) -0.3 (b) 0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/4725 and -76\/7875.\nAnswer: 23625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 296 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.01988, -0.1, -244, 5 in ascending order.\nAnswer: -244, -2.01988, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s. Let v(b) = -6*b**2 - 2 + 5*b**2 + 5*b**2 + 0. What is y(v(o))?\nAnswer: -24*o**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**3 - z + 1 + 0*z**2 + 0 + 3*z**3 + z**2. Let q be i(0). What is the units digit of (20\/(-16))\/(q\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1152894 * -255.\nAnswer: -29.398797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:11 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1227148381 to the nearest 100000.\nAnswer: -1227100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -6455, -3, 899 in ascending order.\nAnswer: -6455, -5, -3, 2, 899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7557850?\nAnswer: 2, 5, 151157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/99)*u**(1\/8))\/(u**(-5\/4))**(-10\/9) assuming u is positive.\nAnswer: u**(-985\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 129*g**3 + 5*g**2 - 8*g + 9. Let a be r(3). Suppose -a = -20*f + 17*f. What is f rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/6 - -2)*3. Let r(n) = -3 - 3 + 5 + 5 + 5*n**m - 4*n. Is r(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/3, 1, 3, -4038?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*(-1 + sqrt(68)\/sqrt(4)) + (sqrt(51)\/sqrt(3) + 1 - sqrt(119)\/sqrt(7)*5) + 4)**2.\nAnswer: -84*sqrt(17) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 108, 243, 432, 675?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270103\/181080 - 56\/2515. Calculate the common denominator of x and 79\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40306 - 435747*i**3 + 40306.\nAnswer: -435747*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 2, 1, -13, -133?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 97.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4282 and 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2008 and 2259?\nAnswer: 18072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000912501258 to 6 decimal places.\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 6*b**2 - 8*b - 4. Let w(d) = -d**2 - d - 1. Suppose -6*h + 2*h - 4 = 0. Let p(t) = -37*t - 253. Let s be p(-7). Give h*z(o) + s*w(o).\nAnswer: -3*o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**5 - p**2 + p - 1. Let l(q) = -66*q**5 - q**4 + 1092*q**2 - 4*q + 1. Let o(f) = -l(f) - 4*w(f). What is the third derivative of o(h) wrt h?\nAnswer: 4200*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxnnnnnsnsux. What is prob of sequence ns?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.398 times 8696?\nAnswer: -29549.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + (sqrt(98)*-2 - sqrt(98))*-1)**2 + -3.\nAnswer: -210*sqrt(2) + 901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + f - 17. Let s be (-1)\/(-2)*0*-1. Let w be r(s). Let n = 5 - w. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 p when three letters picked without replacement from {j: 2, b: 2, p: 7}?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 363, -0.5 in descending order.\nAnswer: 363, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Solve -t**4 - q + 2 + 0 + t**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 17. Let a be o(0). Let u = -10 - a. Suppose 22*b - 17*b = 2*m - 63, 0 = -2*m - 3*b + 23. What is the remainder when m is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*i - 14 = 0. Let y(n) = n**2 - 4. Let z be y(4). Factor -2*q + 2*q + q**2 + z*q + i*q**2.\nAnswer: 3*q*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2394, 21885, 75572, 180555, 353934, 612809, 974280?\n\"Answer: 2850*l**3 - 2*l**2 - 453*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 - 3)*(-4 + 3 - 2) + (68 - 103 - 100)*(-1 - 2 + 2))*((-2*q + 5*q - 4*q)*(-5 + 4 - 1) - 2*q - 2*q + 0*q) to c*q + s and give c.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -51, 0 in increasing order.\nAnswer: -51, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:52 AM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(1300))**2 + sqrt(1300) + sqrt(1300))*-5.\nAnswer: -6495 - 100*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 + 76*i**2 + 2*i + 73*i**2 + 3*i**3 - 152*i**2 - 4 to the form s*i + d*i**2 + n*i**3 + v and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(3))\/sqrt(8)*-1*1*2)**2 - (1 + sqrt(90)\/(sqrt(22)\/(sqrt(11)*-2)))**2.\nAnswer: -161 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4651 * 0.08.\nAnswer: 372.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12 + 805\/(-69) - (-110297)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -377\/5 + 75. What is the fourth smallest value in 4\/11, 1, 0.2, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 229*l - 24728. What is j(108)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -6259 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 980.5672 rounded to 1 decimal place?\nAnswer: 980.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8258.89705 to the nearest integer.\nAnswer: 8259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**3 + 6*i**2 - 6*i**2)*(277 + 217 + 128) + (2*i**2 - 2*i**2 - i**2)*(5*i - 2*i - i) to d + m*i + w*i**2 + b*i**3 and give b.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18313\/42 + -436. Let u = -5\/14 + m. Let a = 5\/4 + -11\/12. What is the nearest to u in 5, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a day in minutes?\nAnswer: 21960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100202 + 21201021?\nAnswer: 22002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 15, -5, -55, -147, -293, -505?\n\"Answer: -2*r**3 + 3*r**2 + 3*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 - 5*q**4 + 5*q**4)*(-775*q - 3442*q + 239*q).\nAnswer: -19890*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*d**2\/15 - 22*d\/5 + 18.\nAnswer: -2*(d + 3)*(26*d - 45)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 11*i**2 + 11*i - 10. Suppose g + 2*y = 0, -2*y = g - 5*y - 25. Let w be k(g). Let h be (-4)\/(-6)*6\/(-22). Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/48 + (-118)\/(-3). Let m be (-188)\/w - 12\/(-78). Is -5 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-270)*12\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5873432 and 4522?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 242786 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*198\/(-840))\/(1227\/5726).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnn. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**8\/1344 + z**7\/210 + z**6\/480 - z**5\/24 - z**4\/24 + z**3\/3 + 74*z**2 + 2*z. Solve w(y) = 0 for y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8254.9 or -2376?\nAnswer: 8254.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - (18 + -29)) + (-1 - 0 - -9)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -142902, -142694, -142486, -142278?\n\"Answer: 208*c - 143110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 - -40) + (24 - -1) - 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -816934, -1633871, -2450808?\nAnswer: -3267745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/3 (b) 117 (c) 7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*((-3*b - b + 2*b)*(-4 + 6 + 0) - 9*b + 3*b + 7*b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -224*f + 222*f + 1 - 2. Let x(l) = 3*l + 3. Let t(j) = -5*v(j) - 3*x(j). Determine t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3657\/17940 - 2\/13.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 2*o - 2*o)*(-2*o - o + o) - o**3 + o**3 - 3*o**4 + 2*o - 2*o - 2*o**4 + (3*o**3 - o**3 + 0*o**3)*(2*o + 8*o + 0*o).\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/3 of a day?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -16989 from -18248331011.\nAnswer: -18248314022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 93?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 521040 and 2808?\nAnswer: 4689360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -2\/7, -1, 4, 9, -0.1799?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.9 + -3.1. Let b = z - -57. Let t = 28.000017 - b. What is t rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**2 - p - 1. Let l be z(-1). Let v be 90\/(-24) - 3\/l. Sort -2, v, -1, -5 in decreasing order.\nAnswer: -1, -2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 11 = -a, 0 = 2*a + 3*a - x - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*w - 4*h + 21, 2*h - 12 = 4*w. Is -1\/31 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*p**4 - 669*p**3 - 7303*p + 4 wrt p?\nAnswer: 432*p**2 - 4014*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 5*m**2 + 10*m - 11. What is the remainder when 37 is divided by n(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1615431 - -12.24773?\nAnswer: -1615418.75227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - -3*sqrt(1584) - sqrt(33)\/(-5*sqrt(3)))**2.\nAnswer: 638891\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - -59. Let u be -4*(1 - 0 - n\/52). Let x(b) = b**2 - b - 3. Let j be x(3). Is j less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, -89, -166, -205, -194, -121?\n\"Answer: 2*o**3 + o**2 - 120*o + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 5*x - 20. Suppose -2*u + x*u - 48 = 0. Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(1\/1) - -12. Let a = 16 - d. Suppose w = q + 72, a*w = 2*w + 5*q + 218. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**2 - 14*c + 14*c)*(-9 + 12 + 6 + (-4 + 3 + 0)*(1 + 1 + 1))*(-c**2 + 2*c**2 + 0*c**2).\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - d = s + 13, 4*s - 5*d - 35 = 0. Let v = -9 + 11. What is the third derivative of 3*o**2 - 2*o**v + 0*o**5 - 2*o**s wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -21113?\nAnswer: 21133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 3*i + i**3 + i**3 + 2*i**3 in the form h + s*i + u*i**2 + n*i**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56017, 224251, 504699, 897409, 1402429, 2019807, 2749591, 3591829?\n\"Answer: 8*d**3 + 56059*d**2 + d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32579 - 32472. What is the remainder when 3527 is divided by t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18\/5))**39*((c*c\/c**(-1\/18))\/c)\/c*(c*c**5)\/c assuming c is positive.\nAnswer: c**(-12181\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, k: 2, z: 3, w: 3, a: 1, t: 1}. Give prob of sequence tzkk.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 68*o + 210. Determine z(30).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4\/8 + 471*m**3\/8 - 489*m**2\/4 - 477*m = 0?\nAnswer: -159, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, 2, 50756.\nAnswer: 0, 2, 4, 5, 50756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13))**(-46) assuming o is positive.\nAnswer: o**(-92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 21*w + 16. Let p(u) = u**3 - 4*u**2 - 5*u. Let j be p(4). Let q be l(j). Put 1\/2, q, -1\/3, 5 in ascending order.\nAnswer: q, -1\/3, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 3.5. Suppose k + 4 = 4*n, 0 = 3*n - 6*k + 2*k - 16. Let x = 8.3 - 8. Which is the closest to n? (a) h (b) 3\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 - 2. Let o = 0.1926 - -0.1074. Which is the second smallest value? (a) o (b) q (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-70)\/(-25)*(-8)\/(-28)*565\/(-8362)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450663093 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4458561 - 7799.76?\nAnswer: -4466360.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = 4*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (3 - (-24)\/(-8)). Solve -q + n*q = 2, -5*p = 5*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of a**4\/12 - 19*a**3\/6 + 4175*a**2\/2 + 621*a. What is the derivative of w(r) wrt r?\nAnswer: 2*r - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*q + 3240 = 11283, 3*q + 4027 = 2*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**8\/1344 - w**7\/252 - w**6\/144 + w**4\/3 - 12*w. Let i(p) be the third derivative of q(p). Determine c so that i(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*y + 40, -5*y - 265 = -7*c + 3*c. Let o = -32 + c. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1167*g + 58449. Calculate a(50).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -23. Suppose 2*j = -g + o*j, g = 4*j - 3. Which is bigger: g or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(3)*-1 + sqrt(3))**2 - (sqrt(27) - sqrt(972))**2) + 5 + -5*((1*sqrt(75) - sqrt(75)) + sqrt(75))**2.\nAnswer: -997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 5. Let q(s) = s**3 - 10*s**2 - 3*s + 34. Let m be q(10). Calculate i(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of j**4\/4 + 10*j**3\/3 - 9*j**2\/2 + 7*j + 2. What is the tens digit of b(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22150 (base 7) to base 11.\nAnswer: 4206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, -792, -2292, -5108, -9678, -16440, -25832?\nAnswer: -38292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 6*k + 7. Let n = -13 - -8. Let t be g(n). Suppose 3*z - 24 = 2*w, 153*z - 150*z = -w + 6. Solve t*o - z = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 8 (c) 0.03 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5135890 and 24320.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5261141 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 5 + (-1 - 1). Suppose 3*y - 5*q + 3 = 9, 0 = 3*q. Suppose 4*d + y*f = 6776, -3293 - 1796 = -3*d - h*f. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*o = -243 - 147 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-13328)\/(-2142))\/((-104)\/2340)\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 4. Let z be n(3). Let p = z - -38. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1325*x**5 + 3*x**3 - 126278*x**2.\nAnswer: -79500*x**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 7:18 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 + 5*t. Suppose 10*a = 3*a + a. Let o be w(a). Is -0.2 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -1)*(-22)\/(-6). Let s = -25 - -58. What is the highest common factor of s and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q. Let y(b) = 42100*b**2. What is y(o(h))?\nAnswer: 378900*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -0*h. Solve 0*x - 3*x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 852\/17 + -32117\/612. What is the common denominator of b and (24\/64)\/((-4)\/21)?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 = -3*k + 46, -4*k + 75 = -3*p. Suppose 0*r = 3*r. Let y be (-30)\/k - ((-3 - -2) + r). Is 1\/24 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2997 + -2983. Calculate the remainder when 182 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5852)\/6320 - (-3 - 68\/(-20)). Let f = 6\/79 + k. Which is the smallest value? (a) -0.4 (b) f (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 2. Let b = -643\/2 - -216. Let r = 101 + b. Which is bigger: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*g = -124548, -i + 13724 = 4*g - 17437. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 12:00 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.493 times 1?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.648 + -5260.\nAnswer: -5267.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 872\/36 - 8\/36. Let t = -10 + o. Suppose -2*z + t = -k + z, -5*k + z = 0. Which is smaller: -1\/5 or k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, -1, 46, 8, 1 in descending order.\nAnswer: 46, 19, 8, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 21*b**5\/20 - 11*b**3\/6 + 4*b. Find the second derivative of a(h) wrt h.\nAnswer: 126*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.08. Let u = 0.05 + v. Let i = u - -3.03. Which is the smallest value? (a) i (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18981 divided by -3413\nAnswer: 18981\/3413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23697 + 23697.039214. What is s rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4040217608?\nAnswer: 2, 7, 19, 151, 25147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*k - 119*k - 189*k + 428*k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 623328 a multiple of 1032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 - 5*j - 14. Let y be c(7). Solve y = 3*p - p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - d + 2, 4*d - 5 = 7. Suppose 0 = -5*t + 20, 2*h - 24 = -7*t + 3*t. Suppose 3 + 1 = h*k. Solve -f + a = -k for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4\/2 - 77403*l**3 - 1996919991*l**2\/2 + 1997152206*l - 998614806.\nAnswer: -3*(l - 1)**2*(l + 25802)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639 >= 2640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*-1*sqrt(972))\/(sqrt(36)\/sqrt(4)*4*2) + 4.\nAnswer: -9*sqrt(3)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 662*d - 2789 - 2274 = 150*d + 18489 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 112 - 3*i**2 - 2*i**3 + 118 - 228. Give d(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2 + 26*x + 169 = 0. What is x?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmecttptt. Give prob of sequence mpet.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 5*u + 81. Let w be q(12). Let a(y) = 6*y + 20. Let g be a(w). Solve 3*d + 5*x - 40 = 0, -3*d - g*x + 5*x = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*m, 3*m = -3*o - 0*m. Let w(t) = t**2 + t + 33. Let v be w(0). Let i be -1*2 - v\/(-18). Which is the second smallest value? (a) i (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -10010000011111?\nAnswer: 10010000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**3\/12 + b**2\/8 + 1. Factor x(o).\nAnswer: -o*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10439 and 54054.\nAnswer: 3945942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 86. Suppose 2*o + 12 = 3*o - 3*y, 4*o = -2*y + 20. Differentiate -o + v + 5 + 4*k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/145 greater than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let m = 2.05 - 0.05. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-41)\/369*(-18)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-1))**(-22)\/(y\/y**(3\/5)*y**(2\/33)))**23 assuming y is positive.\nAnswer: y**(-85238\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 16464?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhhppp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 - 169*t\/3 + 56\/3 = 0 for t.\nAnswer: 1\/3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 244*i**3 + i**2 + 2. Let m be b(2). Suppose 4*s - 1 = 3*s, 5*c = 2*s + m. Does 28 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 71*n + 586. What is f(-9)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m + 8 = 0. Let o be 126\/33 + (-1)\/(22\/m). Let s(z) = z**3 - 5*z**2 + 4*z - 1. Give s(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 7 + 11 = 0. Let y = -15 - b. Let g be (-18)\/15*(-60)\/y. What is the smallest value in 5, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s + 116. What is b(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, -539, -2\/7 in ascending order.\nAnswer: -539, -2\/7, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 2:58 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0952145 years in millennia?\nAnswer: 0.0000952145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61090254 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -5, -0.016 in decreasing order.\nAnswer: 68, -0.016, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3836*r**5 - 2*r**2 + 399.\nAnswer: -230160*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 31*w**2 - 5*w + 3. Let u be s(1). Let g = 31 - u. Let -70*p**g - 8*p**4 + 66*p**2 - 8*p**5 + 2*p**4 + 18*p**3 = 0. What is p?\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -107b - 43a2?\nAnswer: -5450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5012120343?\nAnswer: 3, 13513, 123637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 56*p - 51*p. Let x be (585\/26)\/((-6)\/1432*p). What is x rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -471, -479, -487?\n\"Answer: -8*h - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 1600 = -25*h + 75*h. Let f(c) = 2*c**2 + 11*c - 4*c - 2*c**2 + 1 + c**2. Calculate the remainder when f(6) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 60. What is the remainder when q is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.4872 nanometers in millimeters?\nAnswer: 0.0002634872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/491 + 74177\/2946. What is the common denominator of -79\/4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160.087 - 160. What is o rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/(y\/y**5))\/y**(1\/3))\/(y**(-4)\/(y*y*y*y\/y**(-4)*y*y)))**(-11))**(3\/46) assuming y is positive.\nAnswer: y**(-308\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**7*l))\/(l*(l\/(l*l\/l**(-5\/3))*l)\/l*l)*(l\/(l*l**1\/l))**(-9\/4))\/((l\/(l**(-2\/3)*l))**(-11\/7))**(-49) assuming l is positive.\nAnswer: l**(-176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 9245000 to the nearest 100000.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 120546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -973903887522 and -0.2?\nAnswer: 973903887521.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + sqrt(117) - (sqrt(208)*2 - sqrt(13))) + 0).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 143, 244, 439, 758?\nAnswer: 1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**5 + 876*k**4 + 72828*k**3 + 2810052*k**2 + 48009024*k + 252047376 = 0.\nAnswer: -63, -42, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 8315.\nAnswer: 41575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 6)\/(-1 - 0). Let w(j) = 4*j - 3. Suppose 1 + 2 = -3*z, 3*d + 4*z = -19. Let a(f) = -7*f + 6. Let p(v) = d*w(v) - 3*a(v). Calculate p(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -24. Let u = f + 36. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777492*l**2 + 1555008*l**2 - 777517*l**2 + 48*l - 48*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1291 - -0.1291. Is s greater than -13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(153)*-5 + (sqrt(17) + (sqrt(17) - sqrt(119)\/(sqrt(49)\/sqrt(7))))**2.\nAnswer: -14*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -991, -982, -973?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -34) + (-1 - 3 - 0) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5 + 27*f**2 - 10*f - 7 + 0. Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 51 = 5*f, 0 = -4*d - 5*f + 3*f + 66. Solve -131*y - d = -149*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -261, -506, -751, -996, -1241?\n\"Answer: -245*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 14) to base 11\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + a**2 + 3*a**3 - a + 5 + a**2 - 3*a**2. What is the remainder when 34 is divided by j(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 - -151. Let k = -42 + l. Calculate the remainder when 56 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 644 - 588. What is the remainder when 315 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*y = 2, y = -5*g + 10 + 24. Suppose 2*q = g*i - 3*i + 10, -4*q = 2*i. Suppose z = 2 - q. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2367*s - 2267*s + 4200 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 33*i**3 - 37 - 20 to the form n*i**2 + t*i + p*i**3 + h and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 699, -3, 3, 4, -5, 0 in increasing order.\nAnswer: -5, -3, 0, 3, 4, 699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50.971 - -0.029. Let h = -50.999973 + x. What is h rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*k - 10 = 8, 4*o - 5*k = -3. Let g be 6\/11 - (-806)\/(-2728). Let q = 3 - -3. Sort o, q, g in decreasing order.\nAnswer: q, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 3 - -1 - 1) + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*r + 1, -25*c - 2*r = -23*c - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 - 230. What is the third biggest value in m, -1, 1\/4, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m + 67. Calculate the remainder when g(-17) is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/167, 0.063, -2\/9 in ascending order.\nAnswer: -5, -2\/9, 2\/167, 0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -77\/3. Let g be 1*-1*4 + -4 + 12. Sort g, i, -4 in descending order.\nAnswer: g, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 535 + -534. Let r be 5 + 2 + -11 + j + -1. Which is the second smallest value? (a) r (b) -2\/45 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1526257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1080 divided by 774760\nAnswer: -27\/19369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 598 - 340. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bcbobobububobbbbbbb.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(147) - -1*sqrt(147)) + -1*sqrt(147)*-5)**2 + -1.\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:09 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2 - 1779003*m - 39136614 = 0.\nAnswer: -592979, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.012111712 from -6.\nAnswer: -6.012111712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1180.854 decades?\nAnswer: 11808.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/(t\/((t\/(t**1\/t)*t)\/t)))\/(t**(-2\/3)\/(t*t*t\/((t*t**(2\/5))\/t)))*(t**1\/t*t*t\/t**(-1)*t)\/((t\/t**(1\/3))\/t*t)**(3\/19) assuming t is positive.\nAnswer: t**(3466\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2831248 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 7*a + 7636 = 0. Let m = -330 - a. Solve -20 = m*d + 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 6*j - 10211, -4*v + 8116 = -15*j + 19*j. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/3 + 352360*z\/3 + 28220800\/3.\nAnswer: -5*(z - 70552)*(z + 80)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 12*h + 1. Let f(v) = -30*v**2. Let t be f(1). Let w = 29 + t. What is r(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 5)*(2*t**3 + t**3 - t**3) + (-42*t**2 - 23*t**2 + 19*t**2)*(2*t - 2*t - t) to the form c*t + l + v*t**3 + h*t**2 and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) - sqrt(272)\/(sqrt(16)\/sqrt(2)) - (sqrt(34) - (-1*sqrt(204))\/sqrt(6)))\/(sqrt(162) - (sqrt(162) + 2*sqrt(162))*-3).\nAnswer: -sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 - -14?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5 + 70*t**4 - 175*t**3 - 250*t**2 = 0. Calculate t.\nAnswer: -1, 0, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**4\/24 - y**3\/6 + 12*y**2. Let r be f(-11). Solve -10*l - r = -8*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 12*f**2 - f + 7. Let z be h(12). Let p = 1 - z. Put p, -5, 3 in increasing order.\nAnswer: -5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24475392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*z - 2, 0*z + 6 = -3*z - 3*w. Let v(j) = j**3 + j**2 - 5*j + 6. Let n be v(z). Solve 0 = -5*r + n*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6285236450 to the power of 1\/3, to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 + 1)\/(2\/(-82)). Suppose 2*y = 0, -2*y + 38 = -2*t - 52. Let m = t + r. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 3*f + 51 = 34, r + 4*f - 1 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203a (base 13) in base 15?\nAnswer: 14b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15994 (base 13) in base 9?\nAnswer: 62444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2606*w + 45991. Give l(18).\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 16*u**2 - 22*u + 23. Let c be (7 - 3)\/((-4)\/20). Is p(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854238 is divided by 11094.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42525 - -6.6?\nAnswer: 42531.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000187774 to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 6*i**2 - 4. Let y = 44 + -11. Suppose -k = -5*k + 4*s - 12, 5*s + y = -k. Let v = k + 2. What is r(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from cxacuais.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5)*(-5 + 2 + 1)*(5 - c - 5).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/7*c**4 + 6\/7*c + 36\/7*c**3 + 0 + 33\/7*c**2 - 12\/7*c**5 = 0. What is c?\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13 + v + 0 - 10*v**2 + v**2. Let p be (20\/(-6))\/(29\/((-2871)\/(-66))). Let y(n) = 14*n**2 - 2*n + 20. Determine p*y(d) - 8*x(d).\nAnswer: 2*d**2 + 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/934*1\/(-3). Let j = h + 3301\/7472. Find the common denominator of j and 37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let h(b) be the third derivative of -b**4\/12 - 115*b**3\/6 - 134*b**2. Determine h(o(n)).\nAnswer: 2*n - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -176. Let f = d - 89. Let n = f + -14. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -898 + 897.9. What is the fourth smallest value in -0.15, 0, 6, d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:39 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/12 - (-260)\/6. Suppose j = 9*n - 13*n. Are n and -12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 5. Let t be z(6). Let y = 1 - 1.5. Let x = -42 + 41.7. What is the smallest value in x, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -9, 1132, -1\/17, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 763 = 137*w - 72, w - 64*n + 3 = -63*n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23850 = -5*i + 5*c, 5*i - c = -1417 + 25263. Calculate the greatest common factor of 38 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15630000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4221.565 + -4231. Let i = s - -9.5. Is 1 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1594.4 - 1594. Sort n, -0.2, -37 in ascending order.\nAnswer: -37, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9*y**2 - 174*y - 4. Let q(v) = 9*v**2 - 170*v - 6. Let l(x) = -2*q(x) + 3*s(x). Find the second derivative of l(p) wrt p.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 10*p + 10. Let c be (3 - -6) + 0\/2. Is w(c) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/53, 1, -1\/3, -4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 7*j**3 - 6356616*j**2 + 6356616*j**2.\nAnswer: 7*j**3 - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/70*1*15. Solve -o*z = -9, -5*s - 15*z + 1 = -18*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {p: 2, l: 2, a: 6, e: 4, c: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2206099100 + -0.04.\nAnswer: -2206099100.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-230)\/(-238)*(-40)\/88. Let d = 2\/187 + v. Suppose 0*o + o = -1. Which is the third biggest value? (a) o (b) -1\/9 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 0 + 1\/12*i**4 + 7*i**2 - 10*i + 7\/6*i**3. Is 7 a factor of p(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 13886864198?\nAnswer: -13886864205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -17) + -32 + -47 - 10?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16 - 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 1\/4*y**5 + 15\/2*y**4 + 60*y**3 + 110 + 0*y + 0*y**2. Factor l(h).\nAnswer: 5*h**2*(h + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 1:27 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -2\/9, -2\/27, -6 in descending order.\nAnswer: -2\/27, -2\/9, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 78*(-6)\/126.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.659 in 5, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h + 9 = 0. Suppose 95 - 125 = 10*m. Is h > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80.1 and -35.\nAnswer: -2803.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*q = -4*q - 80, -3*r - 4*q = -16. Let s = 2 + r. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 10*p - 2. Let g be q(10). Let t = 3 - g. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, 3, 2\/3, -3\/5, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/4 + 3)\/((-4)\/(-1352)). Let x = -84 - k. Find a, given that 3\/4*a**3 - x*a**4 + 0 + 0*a**2 - 1\/4*a = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qee when three letters picked without replacement from {e: 7, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 8. Let j be (n - -1) + (-4)\/(-2). Suppose 42 = -r + j*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 97077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 122 = -4*o, -2*o + 0*t + 4*t = -66. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3560*h + 2. Let o(b) = 14*b - 3. What is n(o(r))?\nAnswer: 49840*r - 10678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = -3*a, -4*a = -2*k + 12. Calculate the remainder when 58 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 149030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 6*g**2 - 3*g - 4. Let j be p(5). Let b(f) = f - 4. Calculate the lowest common multiple of b(j) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*y + 4*y - 51, 5*y - 300 = -5*x. Calculate the remainder when (-10419)\/(-161) + (-54)\/(-42) is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -644, -1460, -2606, -4082, -5888?\nAnswer: -8024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 1628.\nAnswer: -488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 - -247. What are the prime factors of ((-6)\/q)\/((-9)\/27) + 152?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*((-30)\/(-12))\/(15\/(-1)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 303 + 369. What is the remainder when t is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 692 = -8*z. Let l = -208 + z. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 22 = 3*h, -h + 14*z - 18*z + 14 = 0. Let u be (h - 3) + 12\/(-12). Solve -5*j + 9 = -y, 4*y + y - u*j = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 981225 or 981209?\nAnswer: 981225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 14. Let g be i(-10). Suppose 2*j + 7 = 4*s + 107, 0 = -2*s - g. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68999 + 30936 + 34085)*(-w - 10 + 10).\nAnswer: 3978*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 859*p - 861. What is i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674 divided by -42?\nAnswer: -1837\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let g be c(2). Let i = g + 2. Solve -m - 1 = -i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7654)\/110 + (-2)\/(-11). Let f = y - -69. Let t = 4 + -4.1. What is the closest to -0.1 in 1\/2, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krk when three letters picked without replacement from kkrrxkt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**2\/2 - 6. Let c(u) = u. Let l(s) = 2*s**2 + 4*s. Let w(z) = -12*c(z) + 3*l(z). Calculate g(w(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58878, 58869, 58860, 58851?\nAnswer: 58842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70079\/12 + 5846. What is the common denominator of i and 55\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*d - 33, -4*d - 6*f = -4*f - 18. Let l(x) be the first derivative of -2\/3*x**3 - 14 - 3\/20*x**4 + 4\/5*x**d + 0*x. Factor l(w).\nAnswer: -w*(w + 4)*(3*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75 - -34. Let r = j - -43. Is (-402)\/(-12) - (-1 + r\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovcovvvc. What is prob of picking 1 o and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1363\/5 in -0.41, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*(-1 + 1). Suppose f = -4*i - 4*u + 23 + 1, -6 = i - 3*u. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18976 smaller than 7\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n)**(1\/22)\/((n*n\/(n*n**7))\/n**(-1)))**15 assuming n is positive.\nAnswer: n**(1665\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -d - 380. Suppose 7*k - d = 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/2 - (-6)\/(-12). Let l = -11 + v. Suppose -t - l*t + 45 = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 - 121*m + 245*m - 118*m - 8*m**4 to v*m**4 + j*m + l*m**3 + i*m**2 + b and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -345940 divided by -86485?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-20))\/(2\/360). Let n be ((-50)\/3)\/((-2)\/w). Let j be (n\/(-18))\/(1\/693000). Round j to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 3*j**2 - 21*j + 67. Calculate the lowest common multiple of y(3) and 3402.\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -50. Put 5, 1, w in decreasing order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, w: 7, o: 3}. What is prob of picking 3 w?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (5 - 1)) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r - 30 = 0. Let i be (-4)\/r - (-508)\/20. What is i rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.64 - -83. Let v = f - -7.64. Let p = -30.9 + 31. Which is the second smallest value? (a) p (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9410.858um to millimeters.\nAnswer: 9.410858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 112665 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2754 - -13601. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5503 (base 7) to base 13\nAnswer: -b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 1, s: 1, h: 1, o: 1}. What is prob of sequence scr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + -3. Let f = 43 + -51. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x + 5. Let l = -10 - -14. Let v(d) = -4*d + 6. What is l*v(q) - 5*r(q)?\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 1 = 2. Let t(r) = -r**3 + 6*r**2 + 2*r - 9. Let m be t(6). Suppose q = -q - m*n, -5*q = p*n. Solve -5*u + 31 = -2*w, -4*w + q*u = 4*u - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 7598.\nAnswer: 7598.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/198 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3320 in 4, -76, 0.14?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 8, v: 2, u: 3}. What is prob of picking 1 u and 1 w?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {p: 6, k: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.27 - 0.18. Let o = y + 0.05. Let z = 4 - 4.1. What is the closest to z in -3, o, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0 - 3)\/1. Let v(g) = 2*g**2 + 4*g - 4. Let z be v(c). Differentiate -17 + 24 - 7*o**z - 12 with respect to o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-67)\/(-134))\/((18\/33)\/(-3)))\/(-11)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4, 4*r + r - 3*c - 276 = 0. Suppose r = 4*l - 54. Suppose -5*g + 23 = -l. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.01 + 12.3759. Let l = t + 0.2129. Round l to two dps.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 9*c**2 + 21. What is the remainder when 186 is divided by m(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y + 3*y + 2*y + y**2 - 1. Let u be 12\/(-18) - (-20)\/3. Calculate b(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/13? (a) 5 (b) -0.0815 (c) 1\/3 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, l: 5}. Give prob of sequence eel.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18278 divided by -37.\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3714\/12999)\/(4\/(-189))\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 w when three letters picked without replacement from {m: 3, x: 13, w: 1}?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -3*g + 627 - 607, 3*g - 14 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72092158 by -6.\nAnswer: -36046079\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 119284?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqhqqqqqqhqq?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n**3*v + 3484*n**3 + 2*n**2*v + 246*n*v + 3*n with respect to v.\nAnswer: -6*n**3 + 2*n**2 + 246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 6, b: 10, n: 2, a: 1}. What is prob of sequence li?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 10. What is the remainder when 13 is divided by -1 + 4 - (t + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3121*l*x**3 + 2338*x**3 with respect to l.\nAnswer: -3121*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p. Let y(x) be the third derivative of -5*x**4\/24 + 22*x**3\/3 - 2*x**2 - 152. Calculate the smallest common multiple of y(7) and h(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + w + 1 = 6, 0 = 5*w - 15. Suppose -5*o + t + 267186 = -1132809, 3*o = -j*t + 840010. What is o rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.064 - -0.236. Put -1, 5, y in decreasing order.\nAnswer: 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 15*r = 3*m - 2886, 4*r - 5*m = 2294. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -19*b + 482. Determine k(24).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 2*d**2 - 7. Let n be p(3). Find the first derivative of -1 - 2 + n*s**2 - 5 wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103461 - 156629 = -633*l - 7757*l for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.7 and -0.031.\nAnswer: -0.3627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/140 and 4\/2975?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 65 - 12 + z)*(4 - 2 + 11) in the form j*z + q and give q.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 10)*(0 + 1 - 3) + 1 - 2 - 1)*(-67 + 37 + 26)*(2*g**5 + g**4 - g**4).\nAnswer: 112*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4347 and 3519?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**2 + 22*u + 21. Let q be m(-1). Suppose -z + 9*t - 13*t = -10, 0 = q*z + 4*t - 18. Solve -z*r - 2*c - 14 = 0, -3*r + 3*c + 3 = -0*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 - 155. Let o = -758 - -757.6. What is the closest to 1 in v, -19, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/28)\/(5\/8) + 2. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaajexaxaaejxjxix. Give prob of sequence eiex.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 1280984*v + 2561976.\nAnswer: -2*(v - 2)*(v + 640494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -10358 less than or equal to 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 749, -4, -5, 2 in descending order.\nAnswer: 749, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**2 - 21*u**2 - 29275*u + 58565*u - 29290*u.\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 7*d - 6. Let q be (3 - (-28)\/12)*d. Solve -5*x - 4 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 3:44 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d + 75 + 65 = 0. Sort -5, d, -19, -6 in ascending order.\nAnswer: -19, -6, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 12) + (0 - 1) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - b. Let g be n(2). Let q = 2746 + -2666. Calculate the highest common divisor of q and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4\/5 (c) 725 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2)\/8*0. Suppose 5*i + 3 - 98 = v. What is the remainder when 34 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35448 is divided by 551.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 2 in decreasing order.\nAnswer: 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -442143230 (base 5) in base 7?\nAnswer: -22153156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.5. Let v = -0.153 + 9.453. Let g = -9 + v. What is the closest to 1 in -3, h, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r - 9*r + 2*r**2 + 3*r - r**3 - 2 in the form t*r + a + g*r**3 + b*r**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*j*u + 73*b**2*q*u + b*u - 1407*j*q + 147267*j*u wrt q.\nAnswer: 73*b**2*u - 1407*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*c - 7436 = 0, -c = 4*x + c - 7436. Suppose -i - 5*s = -s - 387, 0 = -5*i - s + x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -830.\nAnswer: 21\/830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) -0.05 (c) 0.8 (d) -31 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 17, 15, -3, -43, -111?\n\"Answer: -d**3 + d**2 + 12*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -46. What is the smallest common multiple of 2 and -1*(0 - g)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*(688\/(-176) + 2\/(-22)). Put j, -11, 3, -3 in decreasing order.\nAnswer: j, 3, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**3 - 2*j**3 + 0*j**3 + 9*j**2 - 9*j**2 - 3*j**3 - j**3 + 3*j**3 + j**3 + (-13*j**2 + 2*j**2 + 33*j**2)*(0 + 0 - 2*j).\nAnswer: -46*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 + 1250280*j**2 + 586200029400*j.\nAnswer: 2*j*(j + 937710)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 2656.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 7*z**6\/120 + z**4\/24 + z**3\/6 - 10*z**2. What is w(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2*q**6\/3 - 8*q**5\/5 + q**4\/4 + 5*q**3\/3 - q**2\/2 - q + 2. Factor d(t).\nAnswer: (t - 1)**3*(2*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + 1 + sqrt(192) - (-2 + sqrt(192)*2)) + (-3*((sqrt(3) - sqrt(48)) + 2) + -1)**2 + 0.\nAnswer: -86*sqrt(3) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-25) + 260\/(-50). Let l(w) = -4*w + 1. Determine l(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 24*n + 150. Let w be p(19). Calculate the highest common divisor of 26 and w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2631, 2632, 2633, 2634, 2635, 2636?\n\"Answer: o + 2630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 25. Suppose -l + o = 6. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(20\/5)\/8*(-4)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 156.20043 times -4\nAnswer: -624.80172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 657 = -900. Let n = o - -177. Solve 0 = -7*h + n*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k + 8. Let o(s) = 5*s + 3. Let i(f) = 5*o(f) - 2*y(f). Let w(h) = 3*h - 1. Give -6*i(q) + 7*w(q).\nAnswer: 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 27982 - 101932 = 0. Is 34 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 116.76 - 111.701. Let q = g - 0.059. Let v = 0.22 + 0.08. Is v equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h**2 - 8*h**2 - 3*h**2 - 14*h**2 to i*h + k*h**2 + r and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 - 11*t - 1. Let w be x(-3). Suppose -w*h + 10*h + 186563 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 371774898*l - 901325598 wrt l.\nAnswer: 371774898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 34?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7930000 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Suppose -2*w + 3*w = 1. Let t(o) = w - 1 - 3 + 0 + o. Calculate t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 874*p + 4322. What is b(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2. Let c = 100 + -98. Let n(i) = 25*i**c - 154*i**2 + 60*i**2 - 131*i**2. What is x(n(s))?\nAnswer: 80000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*h - 54 = 0, 0*o = -5*o - 5*h + 70. Suppose -4*f + 0 = 8, 4*d + 4*f = -o. Which is smaller: -2\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253000, 253002, 253006, 253012?\nAnswer: 253020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/4)\/(-17 + 16). Let v(m) be the second derivative of m**4\/3 + m**3\/6 - 2*m. What is v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 7*p - 8*p. Which is smaller: -1\/27 or p?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -i + 4, 3*h + 1165*i + 4 = 596*i + 572*i + 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6378 = 12*t - 462. Let n = -486 - t. Solve -n*l + 3*l - 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298*q = -15608 - 13261 - 8773 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - 3*f**2 + f**2 + 3*f**2 - 6*f**2 - f**2 + (3*f - 3*f - f)*(-2*f + f + 6*f))*(-f**3 - 2*f**3 + f**3).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - 29*r - 532. Determine j(-9).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -8.65. Let a = 0.349992 + z. Round a to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:37 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2)\/(-33) + (-94668)\/(-2156)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 6:43 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 10\/4)*4\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9746 + 10233. Calculate the remainder when l is divided by 94.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/62*(-4)\/30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 + 3*d**3 - 546*d**2 - 23*d + 148 wrt d?\nAnswer: 12*d**2 + 18*d - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from hvhhcvhvhv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -11100100?\nAnswer: -11100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 7 + 2 - 0. Let q be -15*5\/(75\/z). Let x be 4\/6 + 51\/q. Put x, -1\/5, 0.4 in decreasing order.\nAnswer: 0.4, -1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -845, -879, -939, -1025, -1137?\n\"Answer: -13*x**2 + 5*x - 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -33*r + 294. Let t be y(9). Suppose -5*c - 24 = 2*n, -12 = 2*n + 3*c + 4. Suppose -5*p + 23 = 4*g, -p + 5*g - 4 = 3. Put p, n, t in ascending order.\nAnswer: t, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*w**2 - 3 + (w - 2*w - 2*w)*(4*w + 23 - 23) + (0*w + 0*w + 3*w)*(0*w - 2*w + 2 + w) to v + h*w + t*w**2 and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r**3 - 3*r**2 + 1. Is d(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15632 divided by 977.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {b: 1, w: 2, d: 2, m: 2, f: 4, g: 4}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -20*b - 15. Let q(t) = -3*t - 2. Calculate 2*d(a) - 15*q(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -134, -275, -436, -623?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1122936*g**2*q**2 - 9*g**2 - 3*g*q**3 - 18225*g - 4 wrt q?\nAnswer: -2245872*g**2*q - 9*g*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 12*c + 720 = 0. Let z = 277 + c. Suppose -5*h = z - 398. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/6 + 31*p**2 - 4901*p\/6 - 3774 = 0. What is p?\nAnswer: -4, 37, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(9 - 5 + 13)*(-2*q + 4*q + 2*q).\nAnswer: -68*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-32)\/(-10)*(-50)\/30. Let v = m - -89\/6. Let p = v - 13. Find the common denominator of p and -81\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 10. Let t = -2 - -2.5. Let c = -5 - -2. Put t, m, c in decreasing order.\nAnswer: m, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85053417 to the nearest integer?\nAnswer: 9222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + -1 + sqrt(1872) + -5 + sqrt(1872) + 1) - ((sqrt(1872) - (1 + sqrt(1872))*-6) + -5*sqrt(1872)*1 + -3))**2.\nAnswer: -1584*sqrt(13) + 67513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/7 (b) 8131 (c) 2 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - -278. Does 74 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 22*y - 15*y - 9*y. Let p(u) = 2*u**2 - 4*u - 4. Let g(i) = i + 1. Let f(z) = 4*g(z) + p(z). Determine n(f(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:35 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 21. Let l = w + 30. Is 157\/2 + 8\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-957)\/3480 + 3\/(-24).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 164*q**2 + 1152*q.\nAnswer: 4*q*(q + 9)*(q + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1119426 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -227*t + 6. Let b be d(1). Let y = b - -1378. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13366125*i**3 + 320427300*i**2 + 8630380*i + 58080.\nAnswer: -5*(i - 24)*(1635*i + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j = -4. What is the greatest common factor of j and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92879578 to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 8*d = 18. Suppose -2*g + 4*l - 3*l - d = 0, -g - 2*l = -8. Suppose -7*n - 16*n + 287 + 104 = 0. Put 1, g, n, 0 in descending order.\nAnswer: n, 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.51 - -1.01. Let i = 0.06 - -0.94. Sort i, s, 0.19.\nAnswer: 0.19, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33869 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*f + 9776 = 936 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 - -83. Let m(t) be the second derivative of -t**5\/20 + 2*t**4\/3 - 2*t**3\/3 - 5*t**2 - 243*t. Determine m(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -20*j - 3. Suppose 4*u - 15 = c - 62, 2*c + 62 = -5*u. Let w be (8\/u)\/(4\/12). Is g(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:11 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 0.27, 4 in descending order.\nAnswer: 4, 2, 0.4, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**3 - 2*u**2 + u - 1. Calculate the remainder when p(2) is divided by 3 - (-8 + (0 - -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -12396\nAnswer: -12396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194644 is divided by 1194631.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-58)\/6 + (-20)\/(-30). Let j(z) = z**2 - 4*z + 2. Let w(a) = 4*a**2 - 17*a + 9. Give u*j(g) + 2*w(g).\nAnswer: -g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/13 and 3 - ((-414)\/(-12) + -4).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 5, v: 8, m: 2}. Give prob of sequence vvd.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2824*y = -2815*y - 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61307\/17985 - 1\/3270. Calculate the common denominator of 36\/7 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 316\/26 - (-2)\/(-13). What are the prime factors of (0 - -3) + 4056\/b?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -590.5836 to the nearest integer.\nAnswer: -591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 6:10 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664*g - 255 - 1639 = -2009*g + 779*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**7\/735 - 61*r**6\/140 - 37*r**5\/14 - 557*r**4\/84 - 62*r**3\/7 + 98*r**2 + 9*r. Factor w(b).\nAnswer: 2*(b - 186)*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -366284 + 366281.48137. Let y = -2.52 - a. What is y rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1835298 and -27.\nAnswer: -1835325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -31c?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 720 = -3*k. Suppose f + k = 9*f. Which is smaller: 35 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5831)\/147)\/(-17)*(-264)\/(-140)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 117 = -3*p + 18, 0 = -5*p - f + 225. Let i(w) = -16*w**3 - w**2 + 3*w + 3. Let r be i(-1). Calculate the highest common divisor of r and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -49.3134166?\nAnswer: 49.3634166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -2 (c) 4.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 5*j = -2*z + 17925, -11*j + 65687 = z. What are the prime factors of j?\nAnswer: 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 - -219. Suppose 2*r = -0*r - 4, 4*y - 3*r + 26 = 0. Put 4, f, y in increasing order.\nAnswer: y, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*h**3*i - 10911303*f**2*h**2*i**2 + f*h**3 - 1439*f*h**2*i**2 + 9*f*h**2 + 2*f*h*i**2 - 2*h**3*i + 3*h**2*i - 4*h*i wrt f.\nAnswer: 8*h**3*i - 21822606*h**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/28 and 67\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 6.7, 0, 0.32 in decreasing order.\nAnswer: 6.7, 0.32, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2839 + -2836. Which is the nearest to -0.1? (a) 0.2 (b) 2\/19 (c) 0 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5981769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in seconds?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2)\/((-1)\/(-2) - -1). Let n(x) = 2*x - 2. Give n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66131977?\nAnswer: 29, 2280413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -14. Let m be 26\/10 - z\/(11\/2). Put -1, m, 10 in increasing order.\nAnswer: -1, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -0.1 (b) 19\/2 (c) 3 (d) 6216\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 2\/9 (b) 1 (c) 5 (d) -3\/41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2) + 0)*2. Let k be (1 + 0)*-3*1. Let u = d - k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3407596 or -23853162\/7?\nAnswer: -3407596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 54 = 222. Let c = s - 19. Suppose 5*q - 3*h + 4*h - 107 = 0, 2*q = 2*h + c. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 - 6*a. Let p(v) = v**3 + v**2 - 5*v. Give 5*m(j) - 6*p(j).\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 303*-0.06\nAnswer: -18.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-270)\/(-60))\/((-1)\/(-2)). Let q(m) = 6*m**2. Let p be q(-4). Suppose k*l = 3*l + p. Solve 2*u + 0*u - 5*a - 12 = 0, l = -3*u - a for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2359109 - 36.472549.\nAnswer: -2359145.472549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 83\/18002?\nAnswer: 83\/18002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w + 3. Let s(q) = q**3 + 6*q**2 + 5*q - 3. Let a be s(-5). Let z be n(a). Let l be 2\/z + 785\/15. Calculate the highest common divisor of 13 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/12 - i**3\/6 - 11*i**2 - 14*i. Let j be t(6). What is the units digit of (-2)\/j + 52\/32*18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-917)\/(-133) + -9 + 2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681128 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11*((h*h*h**(2\/71))\/h)\/h)\/(h**3*h**37*h) assuming h is positive.\nAnswer: h**(-2128\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5359 to 1 dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89 by -350.\nAnswer: -89\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 = 74. Solve -2*v = 3*g - h, 3*v - 14 = -v + 3*g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8617 - -4573. Let w = j + 5995. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 + 210*a**2 + 382174 - 382174.\nAnswer: 199*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6 - 7 + 23*c - c**3 in the form g*c**3 + l*c**2 + m*c + q and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2800)*-5)\/sqrt(4))**2 - (sqrt(700) + sqrt(7))**2*-5*6.\nAnswer: 42910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8045117 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) 2\/3 (b) 2\/9 (c) -0.4 (d) 125 (e) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**4 + 4*x**4 - 4*x**4 + (303 - 144 - 149)*(5*x**4 + 0*x**4 - 3*x**4).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -241 + 11*h**2 - 9*h**2 + 241. Let q(t) = 60*t. What is q(b(m))?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60163.58ms to nanoseconds.\nAnswer: 60163580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 720 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + k + 15 = 0, 3*i - 4 - 7 = k. Suppose 3*j - 9 = 3. Suppose -j*n = -i*n - 34. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15128*x - 27. Is u(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1642740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-10) - (-1)\/(-5). What are the prime factors of 1 + y + 3 - -9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11952 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 846 - 438 - 406 + 53*p**2.\nAnswer: 53*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6318*l + 30567. Give i(4).\nAnswer: 5295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2688 and -115\/1008.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31\/45 - (-10)\/(-15). Let g(a) be the second derivative of o*a**6 + 0 + 0*a**2 + 2\/45*a**5 + 1\/54*a**4 + 0*a**3 + a. Let g(j) = 0. What is j?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3824 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 8 = -q. Suppose 0 = 5*l - q*l. Suppose 2 - 7 = 5*i. Which is smaller: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 593646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102410 + 102434. Let -j*a + 8\/5 + 90*a**2 = 0. Calculate a.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**5\/60 + 5*g**4\/4 + 17*g**3\/6 - 48*g**2 + 4*g. What is the units digit of x(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135 + -102. Calculate the greatest common factor of 363 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*(-6)\/18*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3*x*x)\/(x\/x**(-27)))\/(x**(2\/51))**(-1\/7) assuming x is positive.\nAnswer: x**(-8209\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 divided by 14?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/17536 or 1?\nAnswer: -3\/17536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:43 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -49*u - 5. Let o(l) = 31*l + 3. Let t(i) = -8*o(i) - 5*x(i). Suppose -z + s + 14 = -4*s, -3*s = z + 10. Let v(n) = n. What is z*t(g) - 2*v(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*b + 221161 - 37439. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(121) - sqrt(121))\/sqrt(11).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2. Let u(t) = -20*t**2 + 1. Let z(l) = -u(l) - 6*v(l). Let b be (-2)\/3*15\/(-10). Calculate the remainder when 37 is divided by z(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4304\/3 - 1779. Let a = 345 + r. Factor 0*h - 2\/3*h**3 + 0*h**2 + 0 + a*h**4.\nAnswer: 2*h**3*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58418498.\nAnswer: 2, 29209249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 17. Suppose -2*v - 137 = -0*v + a, 4*v = -a - 271. Does 5 divide (-4)\/d - v\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(108) - sqrt(108)*-3).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33.1 and 4.46.\nAnswer: 147.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -112549\nAnswer: 1\/112549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2486034.\nAnswer: 2, 3, 138113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 7*w**3\/3 - w + 2. What is the first derivative of y(a) wrt a?\nAnswer: 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-198)*((-462)\/140)\/(-11).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.050631 - 3925134.\nAnswer: -3925133.949369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**4*t - 2*d**4 + d**3*t + 899*d**3 - d**2*t + 2612*d**2 wrt d.\nAnswer: 24*d*t - 48*d + 6*t + 5394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1447\/4 + -10077\/28. Which is smaller: 1\/4 or n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/41090508 and 127\/941004.\nAnswer: 123271524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -36*j + 12. Suppose -4*m + 3*l = -39, 50 = 3*m + 5*l - 1. Let p be x(m). What is p rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, p: 3, v: 1, o: 2, h: 4}. Give prob of picking 2 p and 1 v.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*f + 2*f = -4, 0 = 2*u - 4*f. Let n(t) be the first derivative of 1\/10*t**u - 1\/5*t**2 - 3 - 4\/5*t + 4\/15*t**3. Let n(h) = 0. Calculate h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 1. Suppose -o - 2*x = 5, 0 = -4*o + x + x - 30. Let u = o + 17. Suppose h - 6*h + u = 0. Calculate d(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4484262 and 528.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 81\/4 of a kilometer?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 8849 + 135. Let u = -206 + x. What is u rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/9670 and 31\/15472.\nAnswer: 77360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*v**2 + 536*v**2 + 717*v**2.\nAnswer: 1371*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 (base 4) in base 10?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 41743 = 2207*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 20 = -v, -2*d - 5*v = -71. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*-6*(-3 + 2*sqrt(3)) + sqrt(108) + sqrt(108) + 0 + 4 + 0).\nAnswer: -36*sqrt(3) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {l: 3, q: 1, u: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6263*q**4 - 3139*q**4 + 2*q**2 - 3115*q**4 - 3 + 16*q + 3*q**3 as t*q**3 + r*q**2 + d + j*q**4 + l*q and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*b**4 + 44*b - 44*b + 7*b**4 - 3*b**4 - 3*b**4 + (-2*b + 0*b + 0*b)*(4*b**3 + 2*b**3 - 5*b**3) + 3*b**4 + 0*b**4 - b**4.\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 23\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(5*(0 + sqrt(405)) - sqrt(405)))**2*-4.\nAnswer: -103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/8)\/(71\/(-852))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (0 + 59\/(-19)). Suppose -18804 = -2*a - 18806. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3*t + 5, -3*c - t = 2*c - 6. What is the first derivative of -c + 0*z**3 + z**3 + 4 + 0 wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8117033 and -8117038 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*((3*f + 2*f - 3*f)*(0 - 1 + 2) + 1 - 1 + f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8313 - 7026. Calculate the remainder when i is divided by 258.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 30272624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + -75 + 19 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -116?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10473 + 2*p - 10473.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 1, g: 3, a: 1, y: 4, k: 2}. What is prob of sequence gkr?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/m**5*m)\/m)\/m)\/m*m)\/m*m**9*((m\/(m*m*m**1))\/m)**(1\/2))**10 assuming m is positive.\nAnswer: m**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:40 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0 + (2 + 0 - 1)*(1 - 4 + 2) + 2 - 5 + 2 + 1 - 2 + 3)*(-7 + 16*y + 2 + 4).\nAnswer: -16*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-1)\/((-9)\/9). Suppose -5*y + 9 = -w, -3*h + 2*y + 56 = 0. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628649927 to the power of 1\/2, to the nearest integer?\nAnswer: 40357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:00 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19 * 0.5\nAnswer: -9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26169, -26149, -26099, -26007, -25861, -25649, -25359, -24979?\nAnswer: -24497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34 + 4\/(16\/(-4)). Suppose 10*m = 27 + q. What is the highest common factor of 24 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a + -28a5?\nAnswer: -2758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95183508 by -6447.\nAnswer: -14764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2*(-28)\/7. Let l = -147 + 158. Calculate the least common multiple of j*6*(5 - l\/2) and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -123, 114, 469, 954?\nAnswer: 1581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -868, -1746, -2622, -3496?\n\"Answer: y**2 - 881*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 37*k**6\/15 - k**4\/12 + 215*k**3\/2 - 1064*k. Find the second derivative of x(p) wrt p.\nAnswer: 888*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/6 - 0)*22. Let v = 35 + h. Factor -2\/3*j**v - 8\/3*j - 2.\nAnswer: -2*(j + 1)*(j + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*o + 117, 3*a - 83 = -11*o + 9*o. Let k = 29 - 33. Let n be 186\/12 + (-6)\/k. What is the highest common factor of n and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.401041, 6\/11 in ascending order.\nAnswer: -3, 0.401041, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -131, 0.8, 2\/9?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(51\/(-72) + (-18)\/(-48)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.180171 - -0.18. Round j to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*n - 2552 = -2*y, -2*n = -2*y + 1264. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1926056 by 10.\nAnswer: 963028\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 = -2*y, -2*u - 4*y + 6 + 6 = 0. Let t be (2259\/(-6))\/(u\/4). Is t\/((-6)\/(-2)) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - 3*k + 2*k)*(3 - 3 - 2*k - k**2).\nAnswer: 4*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 5*a**2 - 31. Let l be z(-7). Round l to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -888019994, -1776039988, -2664059982, -3552079976?\n\"Answer: -888019994*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 = -2*h - 0, -4*h + 3*x - 12 = 0. Let p be (-1 + 2 - 2)*h. Let k be 10\/3*48\/20. Solve -p*r - k = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*j - 118 = 0, z - j = -4*j + 49. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -11733\nAnswer: 11738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -43162 (base 8) to base 3\nAnswer: -220201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2. Let h(k) = 34*k**2 + 6*k + 66*k**2 - 6*k. Give d(h(n)).\nAnswer: -10000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*-1*70\/(-21). Suppose 27*a = 2 + 79. What is the lowest common multiple of a and 516\/o + 1\/(-5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - f + 18*f + 0*f - 108.\nAnswer: 25*f - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 77\/128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -221950*l**3 + 234028*l**2 wrt l?\nAnswer: -1331700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*j - 10, 0*j = -3*j + g - 6. Let w be (-2)\/j + (-32)\/10. Let t be (1175\/5170)\/((-35)\/28). What is the closest to -2\/3 in w, 2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 3*j - 13. Let g be (-4 + -2)\/(-3) + -15. What is the tens digit of w(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1317075 and 139455.\nAnswer: 11853675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 281, 2.7, 4, 2 in increasing order.\nAnswer: -0.2, 2, 2.7, 4, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**2*v**2*z - 2*l**2*v*z**3 - l**2*v*z - l**2*v - 74*l*v**2*z**3 - 65*l*v*z**3 wrt v?\nAnswer: -2*l**2*z - 148*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16713\/3714)\/(12\/16*2\/(-3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182709 divided by -1809.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 498 and 1632?\nAnswer: 135456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -14*l. Let r be g(-1). Suppose -2*d = m - 15, -3*d = m - 34 + r. Let j(v) = -v - 1. Calculate the least common multiple of j(-4) and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Let r(f) = 20*f**3 - 39*f**2 + 7*f - 18. Let v(n) = 11*n**3 - 21*n**2 + 4*n - 10. Let d(y) = -6*r(y) + 11*v(y). Determine d(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24542, 43558, 62574, 81590, 100606?\nAnswer: 119622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = 3*i, -i = -t. Which is the nearest to 0.01? (a) 4\/7 (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7345 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1715 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1047400 or -1047395?\nAnswer: -1047395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 + 3*w**2 + 6*w + 8. Let z be 0 + 3\/((-18)\/24). Let r be o(z). Suppose 0 = -4*a + 3*u + r, -5*a + 355 = -0*u - 5*u. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of r**5\/15 + r**4\/3 + r**3 + r**2. Let o(a) = -a**2 + 7*a + 3. Let x be o(8). Does 23 divide y(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -14.49?\nAnswer: -14.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + (6 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*j**2\/3 + 25767*j + 9094\/3.\nAnswer: (j + 4547)*(17*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 19. Is (-12)\/v + (-67113)\/(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 8:10 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/27 - 16\/(-6). Suppose g + 110 + 16 = -2*r, -3*r + d*g - 171 = 0. Let k = r - -134. What are the prime factors of k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1861 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/(-6)*4)\/(-1). Let c = r + 37. Solve 7*d - 2*d + c = -2*s, -4*s = -3*d + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 88*r**2 + 61*r - 34. Let t(q) = 2*q**3 + 4*q**2 - q. Let h be t(-3). Is l(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - (-4 - -11 - (2 + 11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*s + 1228, z - 836 + 211 = 3*s. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -74. Solve 2*p + 5*w = 19, -6*p = -p + a*w - 22 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178255 and 3465?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24 - (32 + 16) - -26\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7471178 (base 9) to base 7.\nAnswer: -46011551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 1, s: 8, f: 4, x: 4}. What is prob of picking 2 x?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -153.73 - -157.73. Let j = -11551255\/671 - -17215. Let h = 12\/61 - j. Which is the third biggest value? (a) -0.4 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:59 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270061?\nAnswer: 11, 24551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85\/20 + 3\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 - 55. Let t = x - 67. Let n(a) = 20*a**t - 7*a**2 - 15*a**2. Let r(d) = 2*d. Give n(r(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9682778 divided by 22?\nAnswer: 4841389\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 0 - (3 - 8). Let m be (-6 + -3)*5\/(-3). Suppose -m = -0*b + 5*b. Sort -5, b, f in increasing order.\nAnswer: -5, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*g + 412 - 334 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 982644 times 0.4\nAnswer: 393057.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -267a + 16?\nAnswer: -2664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5 - 42*c**4 - 70*c**3 + 114*c**2 = 0.\nAnswer: -19, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43351)\/(-11823) - (-137)\/(-21)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 266.5 and -23.\nAnswer: -6129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2\/2 + 12*q + 23\/2 = 0.\nAnswer: -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 907271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1925196879.\nAnswer: 3, 71, 9038483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -7*w + 3*w + 569, 0 = -4*w - 3*q + 561. Let n = w + -72. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 560?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 69185, -52 in increasing order.\nAnswer: -52, 2, 69185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.102, 1\/40, -0.1, -15\/13, 0.1 in increasing order.\nAnswer: -15\/13, -0.1, 1\/40, 0.1, 0.102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 8 - 21 = 0. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53274 and 0.035.\nAnswer: 1864.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p - 24. Let h = 11 + p. Let o = 9 - h. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 241 and 10366133?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73 - 195 - 243)*(0 + 2*l + 0) + 2*l + 3*l - 3*l as n*l + g and give n.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/432)\/((-102)\/16))\/(20\/90).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.6, -4\/79, -7\/3, -13?\nAnswer: -4\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4485*-26)\/(11\/(660\/16)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Let c(b) = 2*b - 20 + 20 + 29*b. Determine l(c(s)).\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2 and (-2)\/(-64)*42 - 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17857 - -17914. Solve 12*u - 15 = t for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from jggjjg.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -9\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42622 and 4588406?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 0*l**2 - 22328 - 22326 + 44654.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 3*f**2 + 2*f - 1. Let t be z(-2). Let v = -4 - t. Solve 5*r = -0 - v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -862 divided by 5.\nAnswer: -862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.22 + -1.56. Let u = h + 1.34. Is 106 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/(-33) + (-976)\/(-44) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 3088*s - 595984.\nAnswer: -4*(s + 386)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 592*k - 36. Let j be g(2). Suppose -j = -4*w + 388. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1269, -1306, -1417, -1638, -2005, -2554, -3321, -4342?\nAnswer: -5653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3362\/13*c + 164\/13*c**2 - 2\/13*c**3 + 0.\nAnswer: -2*c*(c - 41)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0*l**(-5\/6))**(-1\/19)\/((l\/(l**(-4\/3)*l)*l*l*(l*l**(-2)*l)\/l)\/(l**8\/(l**(-4\/7)*l*l))) assuming l is positive.\nAnswer: l**(1125\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(125) + -1 + sqrt(125) + 0).\nAnswer: -5 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-45)*-6)\/((-6)\/(-15)). Suppose d = -h*z + 596, d + 3*z = 7*z + 608. Suppose -3*i = 2*i - d. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11765*t + 3*d - 29 = -11743*t, 2*d = t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 982126686 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -97*l**2. Let t(k) = k**2. Calculate t(s(a)).\nAnswer: 9409*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(112) - -2*sqrt(112)))**2 + (sqrt(112)*2*-5)**2 - ((2*sqrt(126) - sqrt(126) - sqrt(126))\/sqrt(6))\/(sqrt(24)\/sqrt(128)).\nAnswer: -48*sqrt(7) + 12212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -753a53 (base 11) to base 10.\nAnswer: -1205823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*o + 4*o + 2*o)*(4 - 2 + 0) - 5*o - 4*o + 6*o)*(-3*o**2 - 2*o**2 + 6*o**2).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1854, -1815, -1756, -1677, -1578, -1459, -1320?\n\"Answer: 10*c**2 + 9*c - 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 14. Calculate the remainder when (45\/(-6) + 6)\/((-3)\/54) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103300 divided by -4132\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 - 77. Suppose -r*j - 1 = -1. Suppose -5*l + 2*l - l = j. Solve l = -4*n + 8 - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4736564.\nAnswer: 2, 7, 139, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98b28 (base 12) in base 9?\nAnswer: 337155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 140, 332, 612, 986?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -0.89?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 18. Let o be f(-5). Suppose 3*a = -b + 2, -o*a - 7 = -5. Solve -2*y + 9 = b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1894.6242 + 75?\nAnswer: -1819.6242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 4*d - 1, 3*s = 3*d + d + 31 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 129?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r - 13. What is g(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 s when four letters picked without replacement from vvvvsssv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3955622331 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/(-3))\/(52\/(-39))*-12. Let j = t + 329. What are the prime factors of j?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1932084 divided by 22\nAnswer: 87822","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 677300401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079234878 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10351858.7 rounded to the nearest ten thousand?\nAnswer: 10350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g + 0*g + 0*g)*(g + g - g) + 0*g + 3*g**2 + 0*g + 0*g**2 - 4*g**2 - 2*g**2)*(6*g - g - 3*g + (0 + 0 - 2*g)*(0 + 0 - 1) + 0*g + 2*g - g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a second in milliseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 5. Let r = -0.09821 - -0.01821. Sort -0.2, a, r.\nAnswer: -0.2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 56 - 56)*(3*y**4 - 2*y**4 - 2*y**4).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 397, 3089, 7591, 13915, 22073, 32077?\n\"Answer: 2*g**3 + 893*g**2 - g - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 168987693 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z**3 - 15*z**2 - 21*z. Let d(x) = 3*x**3 + 3*x**2 + 4*x. Let o(v) = -11*d(v) - 2*q(v). Let y(m) = -3*m**3 - 4*m**2 - 3*m. Give 3*o(k) - 2*y(k).\nAnswer: -3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -498*j**3 + 1428*j**2 - 14*j + 52. Differentiate h(l) with respect to l.\nAnswer: -2988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (331 - 325) + (-1 - 3). Solve 0 = s*j + 10, -m - 2*j + 10 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - t - 1. Let l(c) = 6*c**2 - 9*c - 9. Let n be (-1)\/(-2 - (-1 - 0)). Let r(y) = n*l(y) - 9*q(y). Let i(b) = -2*b**2. Calculate r(i(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 262130.2 millilitres in litres?\nAnswer: 262.1302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94804 - 94804 + 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 3*t - 4 = -39, -5*g + 5*t = 45 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*5 - (131229\/(-210) - (-1)\/(-10)). Which is smaller: 616 or j?\nAnswer: 616","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let m = -4.5 + 2. Let f = m - -3. What is the closest to 2\/9 in -0.4, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2070 (base 10) to base 4.\nAnswer: -200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k + 218. Let j be c(-12). Calculate the highest common divisor of j and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8146*y - 418316 + 29123 - 115859 = 0 for y.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 8:51 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-5832)\/3402)\/(-19*(-12)\/(-210))\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-w + 0 + 0)*(-1 - 2 + 2) - w - 2 + 3*w - 4*w)*(4 + 18 - 7).\nAnswer: -15*w - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((4 + (sqrt(176)*1 + sqrt(176) - sqrt(176)))*-6 - 1*sqrt(176)*-2*3)**2)*5 + 5.\nAnswer: 2890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30951 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -43*o**3 - 7*o**2 + 3*o - 1. Let t(g) = -5*g - 15. Calculate the remainder when u(-2) is divided by t(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/2 (b) -2 (c) -3\/5 (d) -5\/81 (e) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -1.1338429352?\nAnswer: 50.8661570648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*n + 154 = 17 - 318 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 2*i - 4*i**2 - 2 + i + 4*i**3 - 2*i**2. Calculate the lowest common multiple of 116 and u(2).\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.33507 years in centuries?\nAnswer: 0.6333507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6593 + 12752.\nAnswer: 19345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87\/170 + -3\/34. Put 0.3, 0.04, b in descending order.\nAnswer: 0.3, 0.04, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20535 + 20525. Let s = 1\/5223 + -276824\/26115. Is z <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 8720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 1. What is the greatest common divisor of 88 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5189 by -94.\nAnswer: 5189\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -5*o**4\/4 - o**3\/3 - 9*o**2\/2 - o + 7. Is r(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1123 divide 3896131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 532 - 535. Let l = -0.035 - 0.025. Put q, -5, l in decreasing order.\nAnswer: l, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 700*o**4\/3 - 18415*o**3\/3 + 126257*o**2\/3 - 265121*o\/3 + 8993 = 0.\nAnswer: 3\/28, 23\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13418377 to the power of 1\/2, to the nearest integer?\nAnswer: 3663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13600200 rounded to the nearest one hundred thousand?\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 146919735.9ns?\nAnswer: 0.00000024292284375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 5822.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = -5. Suppose -12 = -3*d - 3*c, -d = -4*d + 3*c - 12. Suppose d = i*f - 4 + 2. What is the highest common factor of f and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 2*t + 3. Let w(p) = 702*p**2 - 7*p + 9. Determine -3*j(z) + w(z).\nAnswer: 705*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b + 6*f - 232 = 8*b, 3*b + 61 - 89 = -2*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 31588911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-202)\/22 + (-4)\/(-22). Let n be (u\/12)\/(-3 + 0). Suppose -1\/2*s**2 + 3\/4*s - n = 0. What is s?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, 0, 2, 6?\n\"Answer: m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2964344?\nAnswer: 2, 31, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i - 5*s, s - 6 = 2*i - 3*i. Suppose 0 = -6*w + i*w - 100. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2614)\/(-4) + 21\/(-14). Suppose 7*v - d = 3*v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = 4*q. Calculate the smallest common multiple of 16 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9170*o + 27508*o - 1342*o**2 - 9166*o - 9169*o to j*o**2 + l + p*o and give j.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*j**4\/11 + 61686*j**3\/11 - 95147564*j**2\/11 + 57041664*j\/11 + 38044224\/11 = 0. Calculate j.\nAnswer: -2\/5, 1, 3084","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2353650 divided by 5538.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -248, -560, -884, -1220?\n\"Answer: -6*f**2 - 294*f + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.607554 hours?\nAnswer: 30987194400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 1:33 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 914661\/529 or 1729?\nAnswer: 914661\/529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 25, 3*y = 3*h - 27. Let x be (-1 + 1\/2)*y. Solve -2*p + x = -4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-4)*5\/2. Let n be (3 + -2)*-12 + -3. Let q = -11 - n. Solve 0 = -p - 3*j + 14, -q*j - j = -2*p - z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7426 + -7426. Is u bigger than -18\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/54)\/(1\/(-9)). Let m = 11\/2 + x. Which is the closest to m? (a) -1\/3 (b) 2\/9 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23700 >= 23702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 divided by 3446?\nAnswer: -37\/1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1030203113213 + 21?\nAnswer: 1030203113300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*l = -28086, 0 = -p - 5*l + 5787 + 1272. What are the prime factors of p?\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 71 = 31 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -16*l - 39. Is y(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/8 and -91\/3573516.\nAnswer: 7147032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7*j - 6*j + 9706, j - 24265 = -5*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*p + p**2 + 16*p + 29*p + 12*p + 44*p.\nAnswer: p**2 + 48*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 36 + 23 + 6*o - 9*o to the form g + h*o and give g.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94 + 274. Suppose 2*r + 2*r - t = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13128.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 172539969 a multiple of 917?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5563.917 millilitres to litres.\nAnswer: 5.563917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 3:14 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21427 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/15 + 312*v**3 + 2658658*v**2\/5 - 3193196*v\/3 + 2661776\/5 = 0. What is v?\nAnswer: -1146, 1, 3484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1814 + 8059. Is m 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 1471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s**2 - 4\/11*s - 2\/11 + 4\/11*s**3 + 2\/11*s**4.\nAnswer: 2*(s - 1)*(s + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 263*d - 80. What is z(0)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-216)\/26496*-16)\/(1\/(-1))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 48*b**4\/7 - 2568*b**3 - 45309*b**2\/7 + 26022*b\/7 - 3393\/7 = 0. Calculate b.\nAnswer: -3, 1\/4, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1896647\/720 - 13173\/5. Find the common denominator of 19\/16 and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxmgiimgmlggxmx. What is prob of sequence xxw?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 + 62. Let z = p + 41.9999982. Round z to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*10\/2*544\/(-2040)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 20*i = 0. Suppose -5*f - 166 = -2*a, i = -4*a + f + 4*f + 332. Calculate the remainder when 150 is divided by a.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -4*10\/12. Let f = 25.7 - -5.3. Let i = f + -29. What is the closest to i in k, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1080\/243)\/(20\/72).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryyrsgyy. Give prob of picking 1 s and 1 y.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from {k: 2, h: 2, y: 2, m: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(1\/2)*a)*a)\/a)\/a*a)**(-2\/5)*(a\/(a*a**(2\/19)))\/(a\/(a\/(a**(-1\/12)*a))) assuming a is positive.\nAnswer: a**(-937\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y - 72*y + 326299 = -172199. Calculate the remainder when y is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 516 - 62. Let w = 453.999433 - k. What is w rounded to 5 dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 44. Let t be (l\/(-10))\/(9\/(-30)). Let k be ((-2)\/(t\/(-1)))\/((-4)\/(-24)). Solve 1 = -k*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 5006.465?\nAnswer: 5006.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 2468952*f**2 - 34565622*f - 120980020.\nAnswer: 2*(f - 1234490)*(f + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 111*w**2 - 130*w + 2069. Give d(112).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 2*r + r)*(4 + 1 - 3)*(-2 + 1 + 0)*(7 - 4 + 10).\nAnswer: -78*r + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9625642 rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i. Let w(y) = -2*y + 3. Let l(k) = 3*k - 5. Let f(r) = -3*l(r) - 5*w(r). Determine z(f(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1. Let a(s) = -s + 24. Give -a(l) + 3*c(l).\nAnswer: l - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 32, -0.3, 3, -171, 2\/9 in ascending order.\nAnswer: -171, -0.3, 2\/9, 5\/4, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/12 - x**3\/3 + 5*x**2\/2 + 3*x. Let g be y(7). Suppose 3*b = -2*b + g. What is the smallest common multiple of b and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 0.018 (c) 2\/15 (d) 0.1 (e) 6 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i - 5. Let y(l) = 18*l - 40*l - 1 + 23*l. Determine q(g) - 6*y(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8466 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913279.\nAnswer: 913279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 170 and -0.2?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let a(y) be the second derivative of 5*y**3\/2 + 5*y**2\/2 + 3*y + 1011. Calculate 6*a(o) + 30*h(o).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 11 (b) 0.04 (c) -1\/28 (d) 1.1 (e) 71 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 454484?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1012 + 388. Calculate the smallest common multiple of p and 80.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2171864*o**2 - 15*o - 391064827 wrt o?\nAnswer: 4343728*o - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 2\/43 (c) 0 (d) 110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7302002 divided by -394.\nAnswer: 18533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18744 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 6*i + 41. Let l(k) = -2*k. Give t(l(q)).\nAnswer: 4*q**2 + 12*q + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -2\/11, 2\/19 in descending order.\nAnswer: 2\/19, -0.06, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b = -2*b + 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7, -72, -245, -580, -1131?\n\"Answer: -9*c**3 - 2*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = -52 + 52. Suppose -23*b + 138 = -d*b. Calculate the smallest common multiple of b and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -1) + 189 + (-183 - -49)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123997*l**3 - 124043*l**3 + 248117*l**3.\nAnswer: 77*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -601 + 2923. List the prime factors of y.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -1. Let u = r + 0.5. Let t = 0 - 1. Put t, u, 2\/13 in descending order.\nAnswer: u, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32762 is divided by 203.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(152)\/(sqrt(24)\/sqrt(3)) - sqrt(19)) - (-6*sqrt(133)*-2)\/sqrt(7))**2.\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 9. Let t be (-5)\/n*(1 + -1). Suppose -72 + 2 = -14*f. Solve t*z - s = z - f, 5*s - 22 = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-84)\/105)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - 237.\nAnswer: -237.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, -128, -274, -468, -704, -976, -1278, -1604?\n\"Answer: t**3 - 33*t**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 28. Suppose i = 3*s - 10. Solve 4*p + 29 = -4*g + s, -5*p = -g + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28801 + 3732*g**2 - 300*g**2 + 28801 + 4*g**2 - 3*g**2 - 2*g**2 + 0*g**2 + g**2 - 2*g**2 + (-1 + g + 1)*(-2*g + g + 0*g).\nAnswer: 3429*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3216412661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 36. Suppose -u = -l - 6. Calculate the highest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 653888891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7.1. Let p = -1.65 - h. Round p to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/280 and -123\/442120.\nAnswer: 442120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*y = -46*y - 4428 - 34377. Calculate the least common multiple of 1200 and y.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 - 2*z**2 + 2*z - 3. Let l be c(2). Let u = 37 - l. Put 1, -5, u in descending order.\nAnswer: 1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 + 0.15. Let j = -22.41 - f. What is j rounded to the nearest integer?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f - 84*f + 177*f - 25*f + 173*f.\nAnswer: 298*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4426\nAnswer: 2\/2213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 397 + -394. Solve 5*l - 3*l + 3*f = 4, l - f = -o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7074602 is divided by 91.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 239 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2958 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 9 = -20*y. Let z(o) be the first derivative of -2*o**3\/3 + 3*o**2\/2 + 4*o - 498. Determine z(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -130237 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377483 is divided by 594.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -44\/13, -74, -7, -2\/5 in descending order.\nAnswer: -2\/5, -44\/13, -7, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -12. What is the closest to g in 1\/3, 2\/5, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28964469 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771 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: Let p(z) = -44 + 169 - 25 - 44 - 50 + z. Let s be (-1 + -1)*(1 + 2). Let o(m) = -m**2 - 6*m - 4. Let x be o(s). Give p(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 7. Let m be x(-13). Let t be (2\/10)\/((-27)\/m). Let p(f) = -19*f + 61. Let w be p(3). Which is the closest to 1? (a) t (b) w (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -382 - -384. Put k, 0, 4, -0.4 in decreasing order.\nAnswer: 4, k, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*m + 10535 = 83*m. List the prime factors of m.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71168?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-5\/7)))\/g)**(-19)*(g**(-25)*g)\/g*(g*(g\/(g*g**(-1\/22)))\/g*g)\/g assuming g is positive.\nAnswer: g**(1173\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 369*v - 31424. Give t(84).\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i = 5*i + i - 153 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5959072 and 14208.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 113 + 497 = 0. What is the remainder when t is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 42396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 5*v + 5 - 24, -145 = 2*z + 29*v - 224 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 18 + 3 = -3*u, 5*y = u - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -2547*m**4\/8 + 3783*m**3\/2 - 162*m**2 - 13. Differentiate s(o) with respect to o.\nAnswer: -7641","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 1 = 4*p - 2*h, p - 3*h = 2. Suppose p*g + 1570 = -2790. Round g to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 168 + -31?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 205*c*d**3 - 966*d**3 wrt c.\nAnswer: 205*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -669c (base 14) to base 9.\nAnswer: -26343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504148 divided by -16?\nAnswer: -126037\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15346 is divided by 89.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 273\/(-52)*(1081\/138 - (-6)\/4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4195460575944.0720179 + 4195460315214. Let m = c - -260703.972. Let f = m + 26.1. What is f rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 2. Let h be w(-8). Let m = h - 2. Sort m, 0, -3 in decreasing order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.2672 + -1.8672. What is the smallest value in p, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/8 and -30\/11269301.\nAnswer: 90154408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1625, -5, -2, -3, 41\/40, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 224598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/689 - -951\/180518. Let d = v + -77\/3013. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 173*q - 178*q = 15, -4*q = -5*x + 45 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.02373 rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/99*((0 - -3) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 72*v - 912. Let u be o(-11). Which is the fifth biggest value? (a) -0.2 (b) 0.2 (c) u (d) 24\/55 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -28, -2\/9, -3\/5, 189 in decreasing order.\nAnswer: 189, -2\/9, -3\/5, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3\/7, 0.4, -84\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1065? (a) 12 (b) -129 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzkdkkggggv. What is prob of picking 1 d and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-2)\/(-12)). Factor -10*j**4 - 18*j**3 + 11*j**5 - 18*j**y - 13*j**5 + 4*j**2 - 4*j.\nAnswer: -2*j*(j + 1)**3*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(465\/1085)*1\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -62. Let j be 0 + 0 - a - 6\/(-1). Calculate the greatest common factor of 16 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 - -0.987?\nAnswer: 0.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 38*b + 182. Let j be p(-6). Let l = -42 - j. Put 17, l, -1, 5 in increasing order.\nAnswer: -1, l, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 11:02 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a microsecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = j - h - 18, 5*j + 5*h - 30 = 0. Let y = -159.1 + 155.1. Sort -1\/5, y, j in decreasing order.\nAnswer: j, -1\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9285.8373 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -149, -1106, -3373, -7448, -13829, -23014, -35501?\n\"Answer: -83*l**3 - 157*l**2 + 95*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**(2\/13))**(-15)\/(((i*i\/i**(2\/3)*i)\/(i*i**(2\/11)))\/(i*i\/i**(-3\/5)*i*i\/i**(-2\/9))) assuming i is positive.\nAnswer: i**(-6079\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 8*g**2 - 36*g - 410. Let j be v(-9). Let k(t) = 25*t**2 - 9*t - 1. Let o(c) = 12*c**2 - 4*c. Determine j*o(y) + 2*k(y).\nAnswer: -10*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3005, 3013, 3019, 3017, 3001, 2965?\n\"Answer: -y**3 + 5*y**2 + 3001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f*f)**(-34)\/(f**(1\/4))**(-9\/11) assuming f is positive.\nAnswer: f**(-1487\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 746166614 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - b = -98 + 17, 0 = -r - 5*b + 36. What is the second derivative of -144*m**3 + r*m**3 + 16 - 17 - 69*m - 1 wrt m?\nAnswer: -618*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(-2 + 1 - 1) + 5 - 1 - 5 - 2 - 2 - 11)*(9*g - 19*g + 26*g).\nAnswer: -192*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.483794 centuries?\nAnswer: 580.5528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 604 = -86. Calculate the remainder when a is divided by 26 - (7 + 7 + -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 47.25\nAnswer: 52.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/291 and -107\/30?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 2 + 0*y + 4*y)*(-16*y + 1512 + y - 1508) as f*y + u*y**2 + g and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 3990*j**2 - 7320*j - 1764. What is the derivative of l(p) wrt p?\nAnswer: 7980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639, 3049, 7175, 13017, 20575, 29849?\nAnswer: 40839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 4.03. Let h be 4*(-93)\/(-336) - (-2)\/(-8). Let o = 6.36 + -1.36. Which is the closest to o? (a) -0.3 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -4*a + 4*o, 2*o = o - 4. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxxxvvvxxvvxzxx. Give prob of sequence xxzz.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 210 + 204?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -6. Suppose 6*v - w = v. Suppose v*r = r + 6. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((4 + sqrt(153) + 1 - (sqrt(153) - -5*(1 + sqrt(153) - sqrt(153))))**2 - (sqrt(153) + -1 + 3 + (sqrt(153) + 0 + sqrt(153) + sqrt(153))**2 + 2)).\nAnswer: -1385 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784161.\nAnswer: 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1624.091*20.\nAnswer: 32481.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1665*s + 23142 = -867*s for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/232)\/(6\/104)*528\/(-858)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + 3*sqrt(10)\/sqrt(2) + 2*sqrt(20).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14351383 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11061 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y - 23*y + 3104 = -159*y + 11660 for y.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8659543*b**3 - 7342053*b.\nAnswer: 51957258*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 4) + 23 + (2 - -3) + -1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvavaavv. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 2*t**2 - 2*t - 2. Calculate the remainder when 24 is divided by s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.88 - 2.38. Let k be -1 - (0 - 18\/14). Which is the nearest to -0.3? (a) k (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k + 0*k)*(k - k - k) + (-4 + 0 + 3)*(-5*k**2 - 8*k**2 + 7*k**2) + 4*k**2 - k**2 - 4*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -68467 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -710, -709, -696, -665, -610, -525?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2477*b**4 + 2*b**2 + 151*b wrt b?\nAnswer: -59448*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -6*z - 3. Suppose -2*p - 40 = -4*h + 4, 4*h - p - 44 = 0. Suppose 1 = -g + 2*g, g = -3*d - h. Is r(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 5*u + 0*u)*(-3 - u + 3)*(-u + u + 3*u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 = 85*f - 760 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85302 by -28434.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37929585, -37929587, -37929589, -37929591, -37929593, -37929595?\n\"Answer: -2*f - 37929583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162*0.4.\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c**2 - 5*c + 5. Let b be (98\/(-35))\/((-190)\/(-475)). Let r = -5 - -10. Let i(s) = -23*s**2 - 7*s + 7. Give b*y(f) + r*i(f).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -4. Let y = -2231 + 2227. Sort p, -6, y.\nAnswer: -6, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.5 - -26.58. Do 0.04 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + v - 2*v - 28 + 9 as h + j*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 2900436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17860541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 2*a + 2. Let x be v(-1). Let n = 3.07 - 0.07. What is the smallest value in n, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2. Let d(l) = -4*l**3 - 2*l**3 + 0*l**3 - l + 4*l**2. Let z(p) = 4*c(p) - d(p). What is the second derivative of z(y) wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 3 + sqrt(7) + 4 + 1)*4.\nAnswer: 4*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 1. Let p(o) = -o + 2. Let n(b) = -3*p(b) - 2*s(b). Suppose -3*y + 60 = 7*y. Determine n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7478, -6556, -5632, -4706, -3778?\nAnswer: -2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - d. Let t be q(8). Let f = t - -7. Let s be -1*(-16)\/14 + 7\/(-49). Does f = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -7*c**5\/60 - 4*c**2 + 52*c. Let x(m) = 11*m. Let i(o) = -54*o. Let y(z) = 3*i(z) + 14*x(z). What is k(y(l))?\nAnswer: -448*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p + 1\/24*p**4 - 8*p**2 + 0 - 7\/3*p**3. Determine i(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/45279 and -53\/301.\nAnswer: 316953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ed9 (base 16) to base 14.\nAnswer: -4529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -604\/271765?\nAnswer: -604\/271765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.04 and 12.540709.\nAnswer: 21.580709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -27\/10 (b) -0.4 (c) 0.073\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 2*v = -24*b + 6, -5*b + 2*v = -30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 12:14 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 3*v**2 - v - 6. Let a be j(6). Let k be ((-18)\/(-27))\/(1\/18). Calculate the greatest common divisor of a and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 7. Let v(z) = 2*z - 3. Let g be v(-2). Let i be w(g). Solve i = 2*b - 4*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 589 + -591. Let t be (d\/(-7) + 0)\/(22\/1694). Calculate the highest common factor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -295831757.4 to the nearest 1000000.\nAnswer: -296000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1283447 by 4.\nAnswer: -1283447\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let p(b) = 1. Let t(h) = -3*p(h) + y(h). Let c(j) = -6*j + 10. Let u = 19760 + -19776. Give u*t(k) - 5*c(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -294357785.07 - -294357624.07000083. Let t = 0.094 - 161.094. Let i = t - b. Round i to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(2*y**2 + 4*y - 4*y)*(-999*y + 516*y - 1 + 502*y).\nAnswer: 114*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/5)\/(-2 - 172\/(-90)) and 41\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-712)\/(-89))\/(8\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let j be -1*(-3 + 4\/2). Let k be c(j). What is the highest common factor of k and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/24*-3*100. Suppose -5*m + 5*d = -b, -6*m + 101 = -4*m - 3*d. Calculate the greatest common divisor of 392 and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/26 - 5760\/(-520). Let f(m) = m - 12. Calculate f(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let p(f) = 2*f**5 - 2*f**4 - 8*f**3 - 2*f**2. Let d(i) = p(i) + 10*y(i). Factor d(s).\nAnswer: 2*s**2*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a8a52 (base 11) to base 9.\nAnswer: -2103630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011111111010 (base 2) to base 14.\nAnswer: -5318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32054 by -39.\nAnswer: 32054\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2558*s = 3292*s + 23488 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1253\/221 or 6?\nAnswer: 1253\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-58)\/(-18) - (-2)\/(-9). Suppose 2*x - 50 = 5*k, s*x + 2*k - 5 = 32. What is the remainder when 44 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 891 and 7640001.\nAnswer: 84040011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 + 2*v + 1. Let n be z(-1). Let b = n - -7. Suppose 4*d - 10 - 2 = b. Solve 0 = -5*h + 4*m - 9, -m - d = -4*m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/12 - v**3\/6 - v**2\/2 - v. Let w be 6\/8 - 9\/(-36). Let z(b) = 2 + 0*b + 6*b + 4*b**2 + 1. Determine w*z(s) + 5*x(s).\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 71*c + 29. Let a be n(-11). Calculate the remainder when a\/(-14) + 1\/21*6 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13890.8898 seconds in days?\nAnswer: 0.1607741875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -14*a + 0*a**3 + 11*a**4 - 61 + 3\/5*a**5 - 2*a**2. What is the second derivative of o(d) wrt d?\nAnswer: 36*d**2 + 264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2\/5)\/j)\/j**(2\/3))\/(j**(-4)\/(j*j*j\/(j\/((j\/(j\/j**2))\/j))*j*j)))\/((j*j*j*j**0\/j*j*j)**48*j*j**(-2\/15)*j*j**(2\/5)) assuming j is positive.\nAnswer: j**(-559\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3 - 6 - 6*a + (-7 + 0 + 4)*(a - a - a + (4 - 4 + a)*(7 + 1 + 1)).\nAnswer: -30*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-45 - -62) - 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1500087 divided by -5?\nAnswer: 1500087\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -340*y - 10186. Calculate n(-30).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**8)\/y**(2\/35)*y**(-5\/11)*y*y*y\/y**(-13))**(-22\/5) assuming y is positive.\nAnswer: y**(-18856\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 662\/18 - (-10)\/45. Let p = n - 20. Suppose p = 4*s + 5. Solve s*q + q + 8 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 9. Let l(i) = i + 7 + i**z + 2*i - 5*i - 4*i + 10*i**2. Is l(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6.85 and -251.44.\nAnswer: -244.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2293, 1, 2, 5, -3?\nAnswer: -2293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*k + 2*r - 21, -4*k + r = -46. Solve 3*c = 3*q - 3, 5*q + 5*c = 3*q - k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 7*j**2 - 15*j - 3. Give w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/30)\/(1\/(-2)). Suppose 9 = -4*a - 3. What is the nearest to a in l, 2, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 854*h - 3215*h + 854*h + 667*h + 851*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 113 = 39. Let b = -17 + d. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 less than -41.1702248003?\nAnswer: 40.8297751997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*0\/2)\/((-3)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 1. Suppose 5*q - 4 = -p + d*p, -2*p + 8 = 2*q. Find y, given that -4\/3*y**5 + p*y**2 + 2\/3*y**3 - 2*y**4 + 2\/3*y + 0 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53463169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 68*t - 64*t - 18, 4*v + 5*t = 17 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7441864762?\nAnswer: 2, 89, 797, 52457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 13 + -5 - (-86 + 26)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1569006512?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41227 + -0.03115.\nAnswer: 41226.96885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3492 = -114*z + 120*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3002*p - 2. Let i(a) = 2*a. Give c(i(h)).\nAnswer: 6004*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6434*v. Let n(j) = -56*j. What is z(n(t))?\nAnswer: -360304*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1056670, 4226940, 9510730, 16908046, 26418894, 38043280, 51781210?\nAnswer: 67632690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062556394?\nAnswer: 2, 3, 1069, 321571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from hwwhwh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12442431 and 23568.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-40)\/(-8)*(400 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/865?\nAnswer: -2\/865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -2)*(1 + 8)\/3. Is 12 a factor of (444\/(-60) + z)\/((-1)\/(-120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-2))\/5*68. Factor -4*w - 29*w**3 - 13*w**3 - 22*w**2 - 13*w**5 - d*w**4 + 3*w**5.\nAnswer: -2*w*(w + 1)**3*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(49 + 5))\/(1\/(-8))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b43 + -2c?\nAnswer: -2b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 36\/8 + -12*3\/6\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357 and 11543?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 368722229 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-5 - -3) + 1 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001585131 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**4\/12 + 11*h**3\/6 - 13*h**2\/2 - 23*h. Let r be w(9). Solve -17 + 2 = -r*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400056?\nAnswer: 2, 3, 79, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 13*w**2. Let v(p) = -219735*p. Determine o(v(x)).\nAnswer: 627685112925*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o + 10 + o - 4*o**3 - 1 + 4*o**2. Let k(z) = -11*z**3 + 12*z**2 - 12*z + 26. Let a(u) = 3*k(u) - 8*t(u). Calculate a(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (39\/(-12))\/(45\/162)*(-4)\/(-6). What is the second biggest value in n, -1, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111010101 + 1101?\nAnswer: -100010111001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8714 = 12146*j - 11687*j + 38549 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -12*w - 12. Let d(o) = -o**3 + 5*o**2 - 5*o - 2. Let z be d(4). Put w, -2, z, 5 in ascending order.\nAnswer: z, -2, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -387*c + 2449. Calculate o(6).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1179.6 + 1180. What is the closest to -2\/7 in 1\/2, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1156, -1112, -1084, -1078, -1100, -1156?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -220\/3. Which is smaller: 0.54 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*l + 13, 2*q + 4*l = 5*q - 8. Suppose -q*m + 516 = -y, 13*m - 18*m + 4*y + 634 = 0. Which is greater: m or 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 80\/12*(-3)\/(-4). Let v(x) = x**3 - 12*x**2 - 13*x + 9. Let m be v(13). Find the third derivative of m*l**2 + 14*l**3 - d*l**3 + 2*l**3 wrt l.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 4 (c) -2 (d) 2 (e) 5841 (f) -0.1192 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.32 - -3.62. What is the second biggest value in j, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 4646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4 + 1. Let h be -4*u\/((-1)\/(-1)). Solve 0*w = -h*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3*y**2 + 4*x**3*y + 22254*x**2*y + 2*x**2 + 2*x*y - 207259*y**2 wrt y?\nAnswer: -2*x**3 - 414518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:29 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 401, -106, -951, -2134, -3655, -5514, -7711?\nAnswer: -10246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 46, 69, 100, 139, 186, 241?\n\"Answer: 4*v**2 + 3*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-2)\/(1\/1). Let v be 0 + 1 - (g - 2). Solve 0 = -2*q - v*q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678736032 to the power of 1\/3, to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {v: 2, g: 1, k: 3, f: 2, l: 9}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 524658*p + 12. Give a(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 12. Suppose s*b = 4*o + 24, -7*o + 3*o - 4*b - 40 = 0. Which is smaller: o or -7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152024 is divided by 4364.\nAnswer: 4292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1089, -1088, -1087, -1086, -1085, -1084?\n\"Answer: f - 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 24*t - 26. Give o(-5).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 411053351, 411053354, 411053347, 411053324, 411053279, 411053206, 411053099, 411052952?\nAnswer: 411052759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.958107 millimeters to kilometers.\nAnswer: 0.000005958107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/18 of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121918 + -81643. List the prime factors of a.\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(50)\/sqrt(2))\/sqrt(320) + -5*(1*sqrt(500)*-3)**2.\nAnswer: -22500 - 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 444646397 a multiple of 2089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3683198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17\/14 - -9\/7. What is the second biggest value in -0.1, -1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 174*a - 8067. Calculate w(-70).\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*y - 26 = 0, 5*y - 2 - 8 = 0. Is z smaller than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -694?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101012201020121 - -2?\nAnswer: 101012201020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -219.4791 * -0.12\nAnswer: 26.337492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24522 by 221.\nAnswer: -24522\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -5*a**6\/3 - 11*a**4\/4 - a**2\/2 + 52*a + 50. Find the second derivative of b(v) wrt v.\nAnswer: -200*v**3 - 66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 4. Let x be z(7). Suppose -x*b = b. Put b, -2, -19 in ascending order.\nAnswer: -19, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537850867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 714 and 207453890.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2807, -2497, -1995, -1301, -415, 663, 1933?\n\"Answer: 96*i**2 + 22*i - 2925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*f + 29*f + 49*f + 42*f + 348.\nAnswer: 6*f + 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.52 - 6.52. Which is the third biggest value? (a) 20 (b) k (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-20) + 3\/(-12). Let c be (0 - 1) + j + 4. Suppose 7 + 33 = c*d. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16730, -16760, -16810, -16880, -16970?\nAnswer: -17080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -123\/26? (a) 1\/6 (b) 0.5 (c) 2 (d) 0 (e) 9\/2 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4\/5 (b) -0.04 (c) 0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 9*j - 5*o, o + 4 = 4*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -f + 3*i, -4*f - 5*i - 207 = -6*f. Suppose f*w - 1032 = 93*w. Is 43 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 438280 to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 364.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -314.5, -1, -1\/4, 0.2, 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6494*n = 6467*n - 12943*n - 216 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let q = -47801.5 - -47804. What is the closest to -1 in 2, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1917 (base 14) to base 15.\nAnswer: -151e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16613 times -21.2?\nAnswer: -352195.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4692 + 111*h - 6*h**2 - 4690 - 111*h.\nAnswer: -6*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-2) + -9 + 11. Let b be 0\/(4\/(12\/(-3))). Sort b, -2, r in descending order.\nAnswer: b, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323913351 times 0.1\nAnswer: 32391335.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdfr when four letters picked without replacement from {o: 2, f: 4, i: 1, d: 3, r: 4, k: 3}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**3 + 7*q**2 - 47*q - 102. What is c(-2)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-83 + 11))\/((-2)\/(-272)). Which is smaller: b or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 9. Solve 0 = 3*g + a*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {w: 1, n: 1, k: 1, g: 1, m: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 6*j + 4. Let i(g) = g**2 - 7*g + 5. Let b = 16 - 9. Calculate b*s(o) - 6*i(o).\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let q = x - 4. Put -1\/2, 1\/2, q in ascending order.\nAnswer: q, -1\/2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x - 20. Let p be k(-9). Let t = -519\/10 + p. Which is the closest to -0.1? (a) -0.4 (b) t (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3*(-14)\/(-210)))\/(30\/(-234))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -235.0618, 2.\nAnswer: -235.0618, 2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*f, w + 3*f - 352 + 343 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 11*a**5\/10 + a**4\/6 + 3*a**3\/2 + 58*a**2. Is r(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y**3 - 81*y**3 - 24*y**3.\nAnswer: -48*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 45*b**2 + 239*b + 4080. Let s be p(-24). Suppose 3*x + 6 = 0, -g - 2*x + 8 = -4. Calculate the greatest common divisor of s and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 16. Let i = -38 - l. Let m = 43 + i. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/55 (b) -0.1 (c) 3\/5 (d) 0.7 (e) -1\/29 (f) -2\/13 (g) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 4. Find the third derivative of x*y - 3*y**2 - 73*y**3 + 78*y**3 - 2*y wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 360*g - 13421. Determine o(317).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-904375)\/4)\/(9 + (-1725)\/192). What is f rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p - 3*r + 27, 4*p + r - 17 = 0. Suppose -552 = -p*d - 3*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0*(-5)\/(-15). Let l = 702\/5 - 140. What is the nearest to l in s, 2\/9, 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((54\/60)\/(-3)). What are the prime factors of ((-1398)\/(-5))\/(z\/(-50))?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56613761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of v**4\/12 - 3*v**3\/2 + v**2 - 4*v. Calculate x(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16867 divided by 5.\nAnswer: 16867\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -244 and -246 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + u - u)*(2 + 0 - 4)*(1295 - 2526 + 1289)*(5 - 4 + 0) to the form g*u + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 32 = 22*p. Suppose 1985 = 3*d + 2*q, 4*q - 880 = -p*d + 438. What are the prime factors of d?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*s = 45, -2*i + 6 = 5*s - 9. What is the second smallest value in -0.4, 4, i, 0.29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133\/(-76) + 147413\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 3?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1.8299*0.04481\nAnswer: -0.081997819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 7*n - 5. Let x be j(8). Suppose -x*h = -h - 18. What is the remainder when 25 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/7080 and -161\/11476680.\nAnswer: 11476680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10*8*(-289)\/(-1360)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1042 = 546*y - 579*y + 14 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -23934020 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2003*y = 10725*y - 392490 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 - 5*r. Let z be k(-4). Let l be 20\/5 + (-1 - 0). Solve -h = -l*h + z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491473?\nAnswer: 3, 167, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k**5\/5 + 12*k**4 - 111*k**3\/5 + 96*k**2\/5 - 39*k\/5 + 6\/5 = 0.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219.\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtii when four letters picked without replacement from ttgrtitigbggwbw?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1, 2\/21, -2\/21, -2, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/30*3 - 18*(-4)\/(-72)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 15. Let w = p + -1. Which is the nearest to 1\/2? (a) 2 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*z + 4*i, -i = 5*z - 2*i + 17 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 2\/105 (b) -0.5 (c) 0.1 (d) 296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 3, -3680, -14\/37, -1\/2?\nAnswer: -3680","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4701 is divided by 948?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9650451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 190, 0, 27, 1415 in descending order.\nAnswer: 1415, 190, 27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -122. Suppose -d = -l*v - 4523, 3 = 5*d - 4*d. What is the hundreds digit of v\/(-5) - (44\/(-20) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182959 is divided by 851.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -7*m + 25, 5*j - 4*m - 20 = 0. Suppose 0 = -5*i - 10, -3*r + r + 2 = 4*i. Suppose -75 = -r*t - 2*n, -t + 0*n + j = -n. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 28*m**2 - 37*m - 201. Give n(-29).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 11*r**2 + 128*r - 1391. Give g(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36651133.400831 + 36651299.1. Let d = -165.7 + p. What is d rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 58, 88, 118?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 3. Let j be (-3 + 10\/(-5) - -62)*(-18)\/54. Let f = k - j. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6\/601, -0.2, -1, -1.9, -119, 0.1?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 83*x - 459. Let n be f(-77). Solve -2*k - 4*z + 14 = 0, -4*k + n*k = z - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16052 - -256913\/16. Calculate the common denominator of m and 49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5094689\/225 + -22643. Let q = 12037\/1800 - s. Calculate the common denominator of q and 31\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x**3 + 58*x - 58*x. Let m(v) = -4*v**3 - 6*v**2 + 1. Let n be 2\/(-8) - (-23)\/(-4). Let r = 9 - 8. Give n*u(p) + r*m(p).\nAnswer: 2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -428 - -2192. Let r be (-1)\/(-1) + -810 - 2. Let j = r + v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14032509 and 30895.\nAnswer: 6179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 553*q - 19553. Calculate j(33).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 5*h**2 + 754*h + 69. What is v(30)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Does 1115 divide 37328617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*9\/36*-16. Let g be 1 + (-3*16)\/l. Which is the third smallest value? (a) g (b) 0.1 (c) 4 (d) -0.075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 455*k - 743. Let b(y) = -459*y + 744. Let r(h) = -5*b(h) - 4*m(h). Differentiate r(a) wrt a.\nAnswer: 475","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) + (-26717240)\/(-264) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54538 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -15283?\nAnswer: -1526b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*o + 56150 = -3*b, -3*o + 5*b = -84222. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -277 - -280. Sort j, -8, 0.2, -2\/3 in descending order.\nAnswer: j, 0.2, -2\/3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -112?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1850325536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - -44. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b**2 - 2*b - 1. Let m(a) = 14*a**2 - 5*a - 2. Calculate -5*j(g) + 2*m(g).\nAnswer: -7*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/125673974 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -2.1875?\nAnswer: -2.1875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + (sqrt(300) - (sqrt(300) + sqrt(300) + -4*sqrt(300))))**2 + sqrt(300)).\nAnswer: -8175 + 870*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 605655097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 3:12 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39067 (base 10) to base 3.\nAnswer: -1222120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + o + 4*o = -15, o = -2*z - 3. Suppose z*r - 2471 = -2*g - 3*r, 2*g + r - 2461 = 0. List the prime factors of g.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5 (b) -1\/4 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-6 + 5\/1)*1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -258668337*m**3 + 132332961 wrt m?\nAnswer: -776005011*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/153 and 13\/360990.\nAnswer: 6136830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6 = 0, 2*w + 2*g - 7 = w. Let k(y) = -w*y + y + 3*y + 0*y. Let t(o) = o**2. What is t(k(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 58*o - 18. Let c(r) = 58*r - 19. Let n(l) = 5*c(l) - 6*p(l). Differentiate n(k) wrt k.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.4, -4, -3\/10, -0.56926 in descending order.\nAnswer: -3\/10, -0.4, -0.56926, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*77\/175*(-5)\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 8142707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -281589*i - 7095. Let x be j(5). Round x to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 9*l**2 + 2. Let t(u) = u**3 + 4*u**2 - 1. Determine -4*k(n) - 9*t(n).\nAnswer: 3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c79 + 1?\nAnswer: -c78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32579 + 32686. Which is greater: f or -32?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4349.349 litres?\nAnswer: 4349349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-12)\/(-80)*(-4101)\/(-49212)?\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/22240 and -103\/50596.\nAnswer: 2023840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -1 (c) 3\/7 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 17 = -n, -9 = -3*n - 3*b + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 536 - 534. Suppose -2*s - 5*c + 16 = -0*c, -8 = -w*s - c. Solve 0 = 4*k + s*g - 16, 2*k - g - 8 = -3*g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**4 + s - 1. Let a(w) = 17*w**4 + 11*w**2 + 11*w - 11. Let i(z) = -2*a(z) + 22*l(z). What is the third derivative of i(c) wrt c?\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25\/2, 3 in decreasing order.\nAnswer: 5, 3, -25\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.159, 1\/3, -1\/3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 1562*p - 5149. Is h(73) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 1. Let s(k) = -70*k + 4. Let w(v) = -5*r(v) + s(v). Is w(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, 189, 1419, 3993, 8403?\nAnswer: 15141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 1589772?\nAnswer: 3179544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*n + 4*d, 12 = -5*n + 2*d - 8. Let b = 6 + n. Suppose m**2 + 3*m + 1 - 5*m + b = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 6:02 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1319\/312 - -4\/39. Calculate the common denominator of -95\/4 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6159 is divided by 1018?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, 224, 2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14219475 and 35.57.\nAnswer: 14219510.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + -1)\/9 + (-18)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -243 + 602. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/8645*(-28)\/8?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*v = 2607 + 3053 + 3565 + 869 for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:19 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/5 - 68*g\/5 - 14 = 0 for g.\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:42 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcdnddcdccnc. Give prob of sequence dc.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22176 and 9.40926.\nAnswer: -22166.59074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1177430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2.73089502\nAnswer: -10.92358008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8518284 divided by -549\nAnswer: -15516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -0 - 4, -26 = -5*z + 4*f. Let y be 2\/3*6\/(-8). Let s = 28 + -79\/3. What is the nearest to y in -2\/3, s, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 1, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (757*w**2 + 777*w**2 - 1329*w**2)*(-4 + 4 - 4) in the form y + s*w**2 + m*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7012 + -3.298426856.\nAnswer: -3.999626856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 19 + 13. Suppose -114 = -z*a - 10. Suppose -17*h = -a*h - 16. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2 - 60*r**2 + 30*r**2 + 5*r + 31*r**2. Give g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/21 + (-1573)\/(-21) + -2. Which is smaller: 887\/12 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110057\/138 - 8702\/23. Let p = l - 422. Calculate the common denominator of -35\/93 and p.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 4*i - 14, 3*i + 2*i - 3 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101213468?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -1320, -2, -3 in decreasing order.\nAnswer: 1, -1, -2, -3, -1320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 2)*(0 + 6 + 2)*(-3 - 2*x + 3).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 361 = 197. What is the common denominator of f + 43 - 89\/25 and 27\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.2, 2559\/4, -0.1 in decreasing order.\nAnswer: 2559\/4, 2\/5, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2\/5 + 118*k\/3 + 98\/15.\nAnswer: 2*(k + 49)*(6*k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235 is divided by 102.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6}. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -13*a**5\/30 - 11*a**2. Let o(m) = m**2. Calculate c(o(n)).\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6054 + 0.0194. Let v = k + 27.886. What is v rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w + 4. Let x(i) = -6*i - 5. Let k(q) = -5*b(q) - 4*x(q). Let v(s) = -s. Let t(p) = 5*k(p) - 4*v(p). Let n(l) = -25*l. Determine t(n(j)).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25026*j = -25015*j - 198. Calculate the greatest common divisor of 26 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411568.\nAnswer: 2, 88223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 275 = 4*l - 6*l, 3*l = 3*v + 405. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppwpwwppp. What is prob of sequence wp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*z**3 + 12*z**4 - 37*z**3)*(z - 3*z + 3*z) - z**4 - 3*z**5 + z**4 + (2*z**2 + 3*z**2 - 3*z**2)*(1 + 2*z**3 - 1).\nAnswer: 13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2. Let o(i) be the third derivative of -i**5\/30 + 313*i**3 + 515*i**2. Calculate h(o(v)).\nAnswer: -4*v**4 + 7512*v**2 - 3526884","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21081941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11*1\/30 - (-9)\/(-45). Let m(h) be the second derivative of 1\/3*h**3 + 3*h + 1\/40*h**5 - b*h**4 + 0*h**2 + 0. Factor m(q).\nAnswer: q*(q - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 4*q**2 + 14*q + 5. Let i(z) = -z**3 + 4*z**2 + 3*z + 10. Let m be i(5). Let c = -6 + m. Let r be t(c). Is r > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1719223212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (92\/12 + -7)\/((-12)\/34) and 13\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225.53 - 225.530021706. Round g to seven decimal places.\nAnswer: -0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -142774.\nAnswer: 1\/71387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210102 (base 3) to base 13.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 12*7\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9784 is divided by 2162.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, i: 5, p: 4, q: 4, m: 5}. What is prob of sequence qq?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5241 - -2?\nAnswer: 5243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + i**2 + 18 - 2*i**2)*(-5*i**2 - 16*i**2 - i**2).\nAnswer: 22*i**4 - 396*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2647605 (base 8) to base 6\nAnswer: -23515421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3168146 to the nearest integer?\nAnswer: 1780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136655620.\nAnswer: 2, 5, 19, 2991199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 814*g - 7206*g - 5 + 5 to the form a*g + b and give a.\nAnswer: -6392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 6.2.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-42))\/(((-78)\/(-14))\/(-13))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*d + 48 = -68*d. Solve -4*z - 5 = -p, -3 = d*z + 4*p - 23 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/((-9)\/(-324))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -4, 1, 16, 47, 100, 181?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(2*h**4 - h**4 + 11*h**4)*(4*h + 1 - 1) - 4*h - 2*h**5 + 4*h.\nAnswer: -50*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10216 - -10215.6. Which is the fourth smallest value? (a) y (b) 130 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2150 (b) 4 (c) -55883\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*u - 4*t + 54, 4*u = -t + 78. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.6151 - 1.63. Round v to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22280 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/57 and -37\/17058?\nAnswer: 324102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1314*b**4 - 96521 with respect to b.\nAnswer: -5256*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, h: 7}. Give prob of sequence hvvv.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c. Let q(u) be the first derivative of -3*u**2 - u + 6. Let s(m) = -m**3 - 4*m**2 - 2*m - 4. Let x be s(-4). Give x*i(h) + q(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*-1 - (95 + -2858). Suppose -t = -18*b + 2750. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-610)\/133*7\/624. Let d = g - -9\/104. Suppose -10 = -2*h + 2*l, 2*h + 0*h + l = -2. Which is bigger: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5 - 783\/261)\/(1\/(-5))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 2975?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d2d6 + -3?\nAnswer: d2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x - 9. Let s be v(9). Suppose 2*t - 3*d = d + s, 5*d = -3*t + 5. What is the remainder when (0 - -5)*36\/20 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**(2\/5)*n))**(-15)\/(n**(-6)\/(n*n*n\/((n*n*n**1)\/n)))*((n**3)**(-3))**(1\/12) assuming n is positive.\nAnswer: n**(61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 12*w + 18. Calculate the least common multiple of 25 and w.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11572, -11289, -11016, -10753, -10500, -10257, -10024?\n\"Answer: -5*h**2 + 298*h - 11865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o**2 - 24*o + 3. Let d(u) = -30*u**2 - 9 + 168*u - 11 - 18*u**2. Let p(q) = 3*d(q) + 20*k(q). Factor p(h).\nAnswer: -4*h*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000154795 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + ((-264)\/(-42) - 0). Let h = v - 1369\/112. Calculate the common denominator of h and 15\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/15)\/((-2)\/(-10)). Suppose 6*f = -z*f + 16. Solve 4*k + k - 12 = -s, k - f = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {d: 4, w: 2, i: 2, q: 2, u: 1, m: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -828 - -821.79. Let i = u - -6.21000357. What is i rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + 11?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 433961262 + -5443\nAnswer: 433955819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10013379, -20026798, -30040217?\nAnswer: -40053636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.618 take away 0.062?\nAnswer: -30.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1121 is divided by 76?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 12}. What is prob of picking 2 l and 1 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -11*p**8\/1680 - 35*p**4\/24 + 47*p**3\/3 + 21. Let z(a) be the third derivative of f(a). What is the derivative of z(q) wrt q?\nAnswer: -44*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m**3 - 2*m - 4. Let k = -2 + 5. Let a(u) = 3*u - 11 - k*u + u**2 - 17*u**3 - 6*u. Let y(z) = 4*a(z) - 11*p(z). Solve y(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*g**3*t - 40*g**3 + 2*g**2 + 958*g*t wrt g.\nAnswer: -120*t - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -30 - (-3570)\/170?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k - 5. Let s(f) = 5*f + 2. Suppose 280 = 2*a + 276. What is a*q(c) + 5*s(c)?\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -6 - (-19 + 2). Suppose i - 94 = -t. Let z = i + -39. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t - 18. Let v be p(-5). Let s(u) = 16*u**2 + 1 + 4 + 7 - 7*u - 5. Let q(z) = 5*z**2 - 2*z + 2. Give v*q(g) - 2*s(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 - 68*s + 34. Let b be p(-27). What is b rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001001100 (base 2) to base 4\nAnswer: -101030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from oujojuccwotwojc.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004223809 less than -15?\nAnswer: -15.004223809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 4*d - 6*d - 2*d in the form s + m*d and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10823\/4 + -2705. Sort 1\/2, -1\/2, r, -1, -33 in decreasing order.\nAnswer: r, 1\/2, -1\/2, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/8 of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4424 + 5?\nAnswer: -4415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.08*-122919.\nAnswer: -132752.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14ec5a1 - c?\nAnswer: -14ec5ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 + 304. Suppose 4*w + l = 7*w. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:34 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 139312673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 17, 30, 45, 62, 81?\n\"Answer: u**2 + 8*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-4\/5)*q**(1\/20)*(q*q\/((q*q*q*q**19)\/q)*q)\/q**(2\/3) assuming q is positive.\nAnswer: q**(-221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*d - 5*b - 11, 0 = -4*d + 3*b + 15. Let g(z) = 4*z - 4 - z + 5. What is g(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 288*u**5\/25 - 152*u**4\/15 - u**3 + 18*u**2\/5 - 291*u. Solve v(y) = 0.\nAnswer: -2\/9, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 5:05 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 200065447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(7\/3)*u*u*u\/(u**(-14)*u*u) assuming u is positive.\nAnswer: u**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 5*j - 54, 8 = -4*j. What is the common denominator of 49\/10 and 154\/c + (2 - 0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.093? (a) -0.16 (b) -1745 (c) -0.3 (d) 0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -37, -44, -45?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382.6ml in litres?\nAnswer: 3.3826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*p - 6 = -o, -2*p = 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2700) + 1 + 0 + sqrt(2700) + 4 + (sqrt(2700) + 2 + sqrt(2700))**2).\nAnswer: -21618 - 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 11)*(-1)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/((-14)\/(-9)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 150. Let g = 1.3 - 6.3. Which is the nearest to z? (a) 2\/5 (b) -1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 1. Let j(z) = -78*z + 62. Let o be j(-5). Let b = 460 - o. Solve -x*c + 0 = b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 4*h - 3\/4*h**5 + 0 + 0*h**2 - 1\/2*h**3 + 0*h**4. Find the second derivative of k(b) wrt b.\nAnswer: -90*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5344, -5294, -5244, -5194?\nAnswer: -5144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9.086834 weeks?\nAnswer: 5495717203200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 784 and 180656.\nAnswer: 1264592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2009\/2 - -986. Find the common denominator of 83\/2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/6 - 3781*o**2\/6 + 241762*o\/3 - 3386272\/3 = 0.\nAnswer: 16, 116, 3649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 2*n**2 - 2*n + 3. Suppose 0 = 39*a + 7937 + 6688. Let u = 378 + a. Calculate r(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/15 - 4*b**2\/5 - 2*b\/15 + 4\/5.\nAnswer: 2*(b - 6)*(b - 1)*(b + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -s + 6*u, 7*u - 32 = 31 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7651498807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34.1 - -35. Let b = -93.2 - -98. Let p = b + y. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -191746082352 - 0.29?\nAnswer: -191746082352.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5032433 or 145940514\/29?\nAnswer: 5032433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from okkokquzkzkukqquknqq?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 75*q**4 + q**2\/2 + 2*q + 456. Find the second derivative of x(p) wrt p.\nAnswer: 1800*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 586 - 586. Suppose -3*v + 6*q + 29 = 2*q, b = -3*q + 3. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -33?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115114?\nAnswer: 2, 57557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 23. Let q(p) = 2*p**2 + p - 18. Let o be q(5). Let m(y) = 15*y**2 + 17*y**2 - o*y**2. Give m(i(z)).\nAnswer: -5*z**4 - 230*z**2 - 2645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 303552 from 306379.09.\nAnswer: 2827.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 - -290. Let g(k) = -377*k - 117. Let u(a) = -13*a - 4. Let h(z) = x*u(z) - 4*g(z). Let o(i) = 2*i. What is h(o(j))?\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 8) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 - 7*k - 3. Let d be z(6). Let j(v) = -v**3 - 10*v**2 - 12*v - 11. Let n be j(-9). Let m = n + d. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 + 157. Sort y, -5, 0.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 13*a = 18. Suppose 0*c + 93 = 4*b + a*c, -5*b + 118 = 2*c. What is the greatest common divisor of 72 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*j**2 - 596*j + 378*j**2 - 192*j**2 + 3000 + 2090*j = 0. Calculate j.\nAnswer: -2, 500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34177 + 68355\/2. Factor -7\/2*k + s*k**2 + 0.\nAnswer: k*(k - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5)\/(i\/(i\/i**(1\/5))))**24*(i**(-6)*i*(i*i\/(i*i**(2\/3)))\/i)\/(i**2\/i*i\/i**(1\/3)) assuming i is positive.\nAnswer: i**(-1982\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19098 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1861030 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 4*k**3 + 85 - 140 + 80)*(-k + k - 4*k**2).\nAnswer: -16*k**5 + 20*k**4 - 100*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 5, -11\/4, 0.36?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3970*g - 35786. What is l(9)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95654995, 95654997, 95654999, 95655001?\nAnswer: 95655003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(180\/39) - 2\/1. Let y = 1.2 - 1.7. Sort y, h, -6\/11 in descending order.\nAnswer: h, y, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2349295684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1949195, 1949197, 1949197, 1949195, 1949191, 1949185?\n\"Answer: -d**2 + 5*d + 1949191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 89 = -4*c - 4*u, 3*c - 51 = 3*u. Suppose 0 = -4*t + 4*n + c, -4*n = -5*t + 23 - 3. What are the prime factors of (t - -54) + -2 + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + g - 6941836 - 6258169 = 0, 0 = d - 5*g - 13199975. Suppose -2*v - d = -v. What is v rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92448 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*g**4 + 4*g**2 + 3814 - 5*g**2 - 3815)*(1 - 1 - 2*g).\nAnswer: -50*g**5 + 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, -2\/49.\nAnswer: -2\/49, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-six fifths of a millimeter?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13c06 (base 13) in base 14?\nAnswer: d7a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*p - 18507 - 52493 = -1343*p for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0169 and 0.3.\nAnswer: 0.00507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -297 - 456. What is the units digit of y\/11 - 26\/(-143)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3308 is divided by 558?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3562495185 a multiple of 3327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, 2, 31, -26, 4, 3 in ascending order.\nAnswer: -26, 2, 3, 4, 31, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 10:54 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 483, 1000, 1517, 2034, 2551?\n\"Answer: 517*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.48597 - 0.28597. Let l = -8 + 6. Let d = l + 4.2. Is d at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8787785 to the nearest integer?\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1213\/59 or -20?\nAnswer: -1213\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 39247 = 1269. Let m = d - 69343\/12. Calculate the common denominator of m and 11\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -201*t - 11. Is y(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.64618 years in millennia?\nAnswer: 0.06964618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -741044 rounded to the nearest 10000?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/9 (b) -2\/15 (c) 0.1 (d) 112 (e) 1.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1024*f + 35. Let u(j) = -9*j. Determine u(b(g)).\nAnswer: -9216*g - 315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, l: 4, b: 3}. Give prob of sequence lll.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 311?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 38 + 2*c - 16*c - 73 in the form o*c + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98\/9*o + 232\/3*o**2 - 122*o**3 - 4\/9 = 0.\nAnswer: -2\/61, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.4 (b) 0.4 (c) 5 (d) 0.2 (e) -278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p**4 - 2*p**3 - 27*p**2 - 20*p**2 + p**4 + 4*p + 3*p**4 - 3 + 46*p**2 as k*p**3 + q + f*p + u*p**4 + d*p**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m. Suppose 4*i - 8 = -m. Find r such that i*r**2 - 2*r**4 + 0*r**3 + 4*r**3 + 4*r**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = -86*y + 676. Solve -6 = -4*h + y*t, 6*t - 5*t - 14 = -4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 168418782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 84 = -w - 6, 4*b = 4*w + 88. Let z = b + -23. Suppose -3*i - 11 + z = 2*v, -3*i - 3 = 4*v. Solve q - g = 0, -g + 5 = q + v*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 7*v**6\/30 - v**5\/10 - 7*v**4\/12 + v**3\/3 + 7*v - 7. Let j(p) be the first derivative of w(p). Let j(o) = 0. What is o?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1628, -2003, -2392, -2801, -3236, -3703, -4208, -4757?\nAnswer: -5356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/1111, 1, -4, -0.2931?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + t - 28. Let v be x(-4). Is v less than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000575431728 to 6 dps.\nAnswer: -0.000575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4\/4 - 19*b**3\/3 + 21*b**2\/2 + 34*b - 34. What is the remainder when u(18) is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.067 plus -2846?\nAnswer: -2846.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - d**3 + 0*d**3)*(3*d - 5*d + d - 2).\nAnswer: 2*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 44 - 82 - 9*y as v*y + t and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**3\/6 - 3*a**2\/2 - a. Let x be -1*(4\/(-18) - (-30)\/135). Calculate r(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 43 + 49)*(-20*y**2 - 205*y**2 - 199*y**2).\nAnswer: -10176*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + 5 + sqrt(300))**2 + 3)*1 + -3.\nAnswer: 900*sqrt(3) + 1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 336114331?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1641 divided by 547.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-1)*36\/3780*35.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 - 3991*b**3 - 232*b**3 - 151.\nAnswer: -4223*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3346069817 - -0.3346. Round g to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 1, w: 2, u: 1, o: 3, x: 1}. What is prob of sequence uoz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 14*y - 147 = 11*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n + 87. What is the units digit of g(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5684092 minutes to milliseconds.\nAnswer: 34104.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g - 1 - 1\/30*g**4 - 1\/25*g**5 + 1\/15*g**3 + 0*g**2. Let m(i) be the first derivative of c(i). Factor m(f).\nAnswer: -2*f*(f + 1)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006296972 to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (0 - 5) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 77 = b. Suppose -b*a + 6*a = -380. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -4*p + 157. Let m = 209\/3 - p. What is the third smallest value in 5, -1\/3, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 119847011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 21*i**2 + 18. What are the prime factors of z(-15)?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20496 and 24.\nAnswer: 20496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 11868 + 7655 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(793934837 - 33*t + 26*t - 793935029 - 44*t) as h + u*t and give h.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12616410 by -5790.\nAnswer: 2179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/10 + 31*z**4\/6 - 360*z - 2. Factor m(n).\nAnswer: 2*n**2*(n + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30124861.\nAnswer: 13, 19, 121963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 36*y**2 - 137*y**2.\nAnswer: -177*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101101 (base 2) in base 11?\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 13 - 18 + 402*k - 301*k to the form a + r*k and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 61*o**2 - 332*o - 27. Calculate y(-55).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by 30?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14119517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trhf when four letters picked without replacement from bbtrfrfhbbtbrhrfhb?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.00688 + -0.02188. Let y = -92.8 - -92.78399. Let r = o - y. Round r to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7799*p**4 - 4480*p**2?\nAnswer: 187176*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 3190?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/(-2*3\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.659 to 1 decimal place.\nAnswer: -138.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1136 or -0.2?\nAnswer: 1136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 minus 22?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.8939 + -0.1061. What is the third biggest value in 0.1, -0.13, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**6\/18 + 11*a**5\/20 + 61*a**4\/36 + 5*a**3\/6 - 3*a**2 - 4*a. Factor p(v).\nAnswer: (v + 1)*(v + 3)**2*(5*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + 5*w + 50, 3*m - 369623 + 369624 = 2*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 + 400*q**4 + 2*q**3 - 12*q**2 - 1111.\nAnswer: 240*q**3 + 9600*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8352104, -8352109, -8352116, -8352125, -8352136, -8352149, -8352164?\n\"Answer: -i**2 - 2*i - 8352101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 28600 = -12*y. List the prime factors of y.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 292822, 585916, 879008, 1172098?\nAnswer: 1465186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011101110000010110 (base 2) in base 10?\nAnswer: 2481174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 290.577 - 291. Round f to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(8)*3*3 + 5 + (sqrt(98) + -4)*5 + sqrt(98))**2.\nAnswer: -2160*sqrt(2) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u + u - 3*u)*(2*u + 0*u - u) + (0*u + 3*u - u)*(-216*u + 157*u - 91*u) + (u + u - u)*(-4*u - u + 7*u) in the form y*u**2 + w*u + m and give y.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -197578613*j. Let u(h) = 2*h**2. Give u(z(n)).\nAnswer: 78074616630007538*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 1:07 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1125212 (base 6) to base 2.\nAnswer: 1110001101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/11, 19 in decreasing order.\nAnswer: 19, 2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-20)\/75)\/((2\/(-56))\/((-65)\/52)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 6 = 12. Let v = -2 - -4. Let s(w) = -2*w + 1 - 4 - w**2 - 2*w**v + 2*w**2. Let i(j) = 2*j**2 + 3*j + 5. Determine k*i(h) + 5*s(h).\nAnswer: h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377 = -2*s + 4*s - 3*c, s - 178 = 5*c. Let h = 333 - s. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r + 5*s = 25*r - 10, 4*r - 98 = 3*s. Solve -98 = -r*v - 38 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -107, 0.05, 1\/15, 45\/4, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -20*d**2. Let r = -52264 - -52261. Let c be 2\/((-9)\/(-4) + -2). Let w(u) = -7*u**2. Give c*w(b) + r*t(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6)\/d**(-4\/5))**47)**(15\/2) assuming d is positive.\nAnswer: d**(-1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-7))\/((-4)\/4*-2). Put -5, 18, o in descending order.\nAnswer: 18, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -484, -1864, -3244, -4624?\nAnswer: -6004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -979, -29, 0, 87 in decreasing order.\nAnswer: 87, 0, -29, -979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 8*v**2 + 3*v - 5. Let o = 1251 - 1258. What is q(o)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 33105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*l = -4*x + 1295, 1325 = 2*x - 3*l. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7 - b**3 - 4*b**2 + 2*b + 0*b**3 - b**2. Let w = 16478 - 16483. Give s(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815973 is divided by 14764?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2742 + 268713\/98. Is 1 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/229501839 - 13816076279729\/5737545975. Let p = 2408 + k. Is 1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-4 + 4 + 3)*(0 + 1 + 2)*(1 + l - 1).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -6*y + 32*y**2 - 7 + 7*y + 6*y + y. Is u(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4) + (-3)\/(-2). Solve -v*r = 3*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -954*x**3 + 4*x**2 + 4. Let i be a(-3). Suppose 2*j - 9997 = -4*k + 24407, -3*k = -j - i. Round k to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*y - 7*y. Let i(g) = -33*g + 4. Is i(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z + 37086 - 7626 = 0. Is -2945 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206 + 424. Let m = g - 629.99999218. What is m rounded to seven dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 118584.335 to the nearest 100.\nAnswer: 118600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 989921 or 989918?\nAnswer: 989921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f - 1. Suppose 4*a - 5 = v + 13, -14 = -5*a - 3*v. What are the prime factors of u(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/60)\/2*2\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:56 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a009 - 3?\nAnswer: -a00c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4685 and 74960?\nAnswer: 74960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -107658, -98178, -82378, -60258, -31818, 2942, 44022?\n\"Answer: 3160*r**2 - 110818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-19 + -8 + 63).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 - 4*h**3 + 35*h**2 - 17*h**2.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 806374 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: Two letters picked without replacement from zkzkykkzzkkkzkkzkkz. What is prob of sequence kk?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -166*g - 24*g**2 + 166*g + (-2*g + 0*g + 3*g)*(-3 - 2*g + 3) + (0 - 2*g + 0)*(-4*g + g + 4*g) - 2 + g**2 + 2.\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (-2*(-5*(sqrt(108) + 1) + (1 + sqrt(108) + -1 - sqrt(108)))*4)**2 + -5.\nAnswer: 19200*sqrt(3) + 174399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*sqrt(208).\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*g + 2727509 - 2726430 = 0 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 7*z**2 + 6*z + 8. Let o be y(6). What is the nearest to -3 in -0.3, o, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/132 and -1*(-4 + 372\/56).\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6888\/1344 + (-2)\/16. Solve 7*n - 5*n + b = -3*s, 0 = 5*s - 5*n - 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7932 and 18?\nAnswer: 23796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7197 - -11.\nAnswer: -7186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490620?\nAnswer: 2, 3, 5, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13392224.\nAnswer: 2, 37, 11311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-414)\/2580 - (13\/(-6))\/13. Let v = -29479\/3870 + g. Calculate the common denominator of v and 1\/124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 AM and 11:22 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 6*q**2 + 8*q + 7. Let k be x(-7). Suppose 5*j - 3*j - 4 = 0. Let v = -11.7 + 12. Which is the closest to k? (a) -3 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 8*x + 8. Let j(a) = -a**2 + a + 1. Suppose -5*h - 5 = -0*h. Let l = 83 - 77. Determine h*o(d) + l*j(d).\nAnswer: -2*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 10:38 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5 - 8*f - 6 + 0*f**2 - f**2 + 33. Let m be o(-10). Let u be (90\/(-5) - m)*(-6201 + 1). What is u rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-3)\/36*-12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1099424 and 5843886?\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00068211 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/(-76))\/((-1)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auub when four letters picked without replacement from bubbueauubbbbbb?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109 and 486031.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p + 9*p + 9*p + 3*p. Is 9 a factor of f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -63. Suppose -3*u + 2 = -5*q, -2*u + q + 3*q + 2 = 0. Let d be (u\/(-2))\/((-7)\/28). Sort r, 15, d.\nAnswer: d, r, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 8. Let a be 119\/z + (-3)\/(-18). Suppose 3*c - 34 = -4*d, -2*d + a = d + 5*c. Calculate the remainder when 39 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*c**3 - 5*c**3 - 6*c**3)*(c**2 + c**2 + 0*c**2).\nAnswer: 16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8111 + -8111. Factor -2\/5*i**2 + g*i + 8\/5.\nAnswer: -2*(i - 2)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/65 - 71\/390. What is the closest to -24 in -4, 3\/5, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - -2.8. Let k = 0.05 + -4.05. Which is the biggest value? (a) 4\/3 (b) q (c) k (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1827*l*w**2*y**3 - 22*l*w**2 - 39*l*w*y**3 - 287*l*y + 3*w*y**3 - 6*w*y**2 wrt w?\nAnswer: 3654*l*y**3 - 44*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + (1*(sqrt(130) + (sqrt(130)*4 - sqrt(130)) - sqrt(130)) - sqrt(130) - sqrt(130)) + sqrt(130))*-6)\/(sqrt(160)*-1*-1))**2 + -5 + 4.\nAnswer: 1049\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2 - 6*i - 2 + 2. Suppose -d - 6 = -4*b, 3*d - 2*b - 4 = 6*d. Let h be m(d). Solve 0 = -5*y - 3*t - 1 + 17, -4*y + h = 2*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 462 - 248. Let t = 417 - i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h + 6*h**2 - 3*h**2 - 2*h**2. Let w be j(5). Suppose -1 = v - w. Which is bigger: v or -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7258, 8662, 10058, 11446, 12826?\nAnswer: 14198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(7) + -1 + (sqrt(7) - sqrt(21)\/sqrt(3) - sqrt(7)) - (1*sqrt(7) + 1))*-4)**2.\nAnswer: 256*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(475) + -4)**2 + 0.\nAnswer: -30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7407737521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b - b)*(1 + 0 - 3)*(-277*b**4 + 4054*b**4 + 2 + 2334*b**4).\nAnswer: -12222*b**5 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, j: 4, h: 3, z: 9}. What is prob of sequence jhtz?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0238 and 0.446.\nAnswer: 0.4222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*j = 12, -2*c + 12 = -2*j - 12. Let q be -1 + 12\/(-54) + 38\/c. Suppose 0 = q*x - 310 + 94. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11540 and 4926640?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/24 - 11*i**3\/6 + 11*i**2. Differentiate n(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*j - 260*j + 1483452 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55893, -111789, -167673, -223545, -279405, -335253?\nAnswer: -391089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c**5\/5 - 57*c**4\/5 - 3*c**3\/5 + 201*c**2\/5 - 27*c = 0 for c.\nAnswer: -9, -5\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 85 = 5*t - 0*t, 115 = 5*x + 3*t. List the prime factors of (-3)\/(-12) - (-1275)\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*c - 125*c - 4*g, 0 = c + 5*g + 3. Solve 0 = 2*i + c*i - p, 2*i + 3*p = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6406*d - 2062728. What is x(-322)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 108 = 4*z, -3*z + 27 = a - 0*z. Calculate the remainder when 52 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -15*b - 298. Let f = 847 - 867. Let u be p(f). Solve 4\/5*h**3 - 4\/5 + 8\/5*h**u - 2\/5*h - 2\/5*h**5 - 4\/5*h**4 = 0 for h.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18649275, 74597075, 167843407, 298388271, 466231667, 671373595?\n\"Answer: 18649266*y**2 + 2*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, 2\/13, -5, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40 - -38. Let y = -3\/13 - -77\/221. What is the nearest to -1\/3 in d, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31202, 31493, 31780, 32063, 32342, 32617?\nAnswer: 32888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.1636 nanometers in centimeters?\nAnswer: 0.00009911636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*u**(-5))**(-12\/17)*((u*u*u\/(u\/(u\/u**(-3\/4))*u)*u*u*u*u)\/u*u\/u**(-5))**(17\/5) assuming u is positive.\nAnswer: u**(17183\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3777 and 949.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1. Let o(d) be the first derivative of d**2\/2 - 4*d + 4. Let u(j) = -o(j) - 4*p(j). Let a be u(-2). Solve x - a = 2*x + q, -q = -2*x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/48*-11*(-1)\/6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((12\/(-284))\/3). Let h = -48 + b. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867992583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 82, 124, 166?\n\"Answer: 42*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*r = -4057, -33*r = -30*r + 3. What are the prime factors of f?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -533 - -78?\nAnswer: -4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 8*n**2 - 8*n**2 + ((-n**2 + 2*n**2 + n**2)*(-2*n + 0 + 0) - 6*n**3 + 0*n**3 - n**3)*(5 - 4 - 3) as s + o*n**2 + w*n + x*n**3 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.3 (c) -3005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**3 - 3357*t**2 + 2673*t + 669.\nAnswer: 3*(t - 223)*(t - 1)*(5*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1053.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -20*y**2 + 42*y - 26. Let s(v) = -v**3 + 10*v**2 - 17*v + 3. Let p be s(8). Let q(f) = -13*f**2 + 28*f - 17. Let o(x) = p*w(x) + 8*q(x). Factor o(z).\nAnswer: -2*(z - 3)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 57.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*10\/((-1680)\/(-36))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 1 + 2)*(-2 + 0 + 4) + 0 - 2 + 4 + 0 - 6 + 3)*(-27 - 27*q**3 + 27) to the form f*q**3 + c*q + a*q**2 + i and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*h - 326 = -95 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 - (1 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*h = 40943 - 171618, -4*f - 3*h + 522673 = 0. Suppose f = 4*a + 12734. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 0)\/((-2)\/4). Suppose h = -i + 127, -h + 365 = o*h - i. Suppose h = x + 2*k + 29, 216 = 2*x - 3*k. Round x to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - 3) + (6 - 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 5*s**2 - 8*s + 5. Let f = -8 - -13. Let q be k(f). Suppose q = 2*v + 3*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21079 + 76159. Suppose 4*y = -2*r - 48626, -n = 5*r - r + y. Let k = r - -12309. What is k rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, 20, 400, 930, 1610, 2440?\nAnswer: 3420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13504, -13498, -13492, -13486, -13480, -13474?\nAnswer: -13468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3251+2\nAnswer: -3249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. What is the second derivative of 3*h - 5*h + h**3 - n*h**3 wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 2*z**2 - 2*z + 2. Suppose -4*j + 8 = -3*m - 2, j + 2 = 3*m. Suppose 8 = -2*w + m. What is k(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4752541921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*j**4 - 3 + (0*j**2 + 0*j**2 + j**2)*(-2*j + j**2 + 2*j) + 55*j + 21*j - 94*j + 3*j**4.\nAnswer: 2*j**4 - 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhwlhllhhplhlhfhhhh. What is prob of picking 1 h and 1 f?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 7*i**2 + i + 4. Let w be t(-7). Let r be 4\/w*(-57)\/(-95). Which is the biggest value? (a) -0.4 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0 - 1\/30*q**5 + 0*q**2 + 0*q**3 - 5*q + 1\/9*q**4. Factor v(p).\nAnswer: -2*p**2*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -0.033 (b) 1\/3 (c) -3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 3)\/((-2)\/(-12)). Let m be (-4)\/v*(-3)\/(-2). Let q = 11 - 7. Sort -2, m, q in decreasing order.\nAnswer: q, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31*(-152)\/(-12958)*(-2)\/48*-2?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24 + 15 + 2 + -1. Suppose v*n = 44*n - 208. What is the greatest common divisor of n and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22\/19? (a) 0.3 (b) -5\/63 (c) 41 (d) -0.4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**6\/30 + b**5\/20 + b**4\/12 - b**3\/6 + 49*b. Factor t(l).\nAnswer: -l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/4 - 1465*g**3\/4 + 733*g**2\/2 = 0?\nAnswer: -1466, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -58*a + 11. Let q(j) = -19*j + 4. Give 6*b(w) - 17*q(w).\nAnswer: -25*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2185 and 1265?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 1\/171?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1165 is divided by 387.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + 2 + -5 + 4 + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3141378, -3141339, -3141274, -3141183, -3141066?\nAnswer: -3140923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 2:18 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 4, r: 5, g: 3, p: 1, q: 1}. Give prob of picking 1 p, 1 g, and 1 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*i**5 - 4139*i**3*l - 5*i**3 - 150*i**2*l - 5151*i**2 + 17*l wrt i?\nAnswer: -16200*i**2 - 24834*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -10*z**2. Let n be q(-1). Suppose 4*s - 2 - 70 = 0. Let r = n + s. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 68*n + 602. Let a be c(8). Let s(o) be the second derivative of -o**5\/20 - o**4\/6 + 7*o**3\/6 - 3*o**2\/2 + o. What is the units digit of s(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*z + 1792 - 334 = -2182 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/((-36)\/(-9))*5\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Suppose 0 = -k - 2 - 1. Which is the second smallest value? (a) -4 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58.2 + -47. Let p = -11.2093 + s. What is p rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*t = -6*t + 730 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(117) + -3*-1*sqrt(117))*5)**2 + 2.\nAnswer: 3000*sqrt(13) + 47427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1157 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3\/8 + 288*u**2 + 55296*u = 0. Calculate u.\nAnswer: -384, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2610 + 9165. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {y: 1, i: 1, d: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 14960453*p - 14960453*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 12\/4624189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 45*p - 47*p = 161438, -2*p = -4*i + 129150. What are the prime factors of i?\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 + 6*b**3 - 6*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 141?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -47. Suppose q*l - 36*l = -144. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -168463032.\nAnswer: 168463031.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*z + 80*z - 117 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 2:30 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000102802 to six dps.\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - ((-26)\/(-13))\/2. Let c(x) = -30*x**2 - 9*x. Let y(a) = a**2 + a. Give q*c(h) + 9*y(h).\nAnswer: -21*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*i**3 - 13*i**3 - 2*i**2 + 296*i + 91 - 296*i wrt i.\nAnswer: -21*i**2 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/(32\/40).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -392 + 7174.4\nAnswer: 6782.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 52 + 122 = 0. Factor 50*r + 28 + 6*r**4 + 22*r**2 - 12 - 14*r - r**4 - t*r**4.\nAnswer: -2*(r - 4)*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2944 is divided by 273.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 - 90*u**2 - u - 4. Let j(b) = -b**3 + b**2 - 1. What is 5*j(d) - w(d)?\nAnswer: -3*d**3 + 95*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(3\/(-12) - (-102)\/120). Let p(a) = a**2 - a - 3. Determine p(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/(-3) - -1)\/((-21)\/(-14)). Solve 0 = 2*m + 2 + j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 2*z + 14, 4 = -2*b + 47*z - 51*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most -965327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(12\/18*(-2)\/4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1927*w**3 + 30*w**2 + 11574086 wrt w.\nAnswer: 5781*w**2 + 60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/42 - 9*(-9670)\/35 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j**2 - 2 + 3\/5*j**5 + 0*j**3 + 2*j + 0*j**4. What is the first derivative of o(b) wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 34*l**3 - 8*l**3 - 13*l**3 - 12 + 7*l**2 + 2*l - 12*l**3. Let c be p(-7). Let w be (-13)\/2 - 13\/c. Let s(j) = j + 7. Calculate s(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 - -101111111?\nAnswer: 110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4.1, 1\/4 in increasing order.\nAnswer: -5, -4.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = -n, -2*t - 5*n = 21. Suppose -z = -w + 2, -2*w = 5*z + 62 - 80. Solve -z*k + 2 = 0, k + 3 = -6*f + t*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2238 = 2*i, 22*d - 25*d = -i - 1681. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 90110\/(-110)*3\/720. Let t = v + -4\/165. What is the common denominator of t and 101\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*s + 6*s**4 + 22*s)*(62 - 160 + 88 + 111).\nAnswer: 606*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilogram in grams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25 + 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**3 + 2*m**2 - 2*m + 2. Let b(a) = -51*a**3 + 11*a**2 - 11*a + 11. Calculate -6*b(x) + 33*s(x).\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 0*s - 2*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439467728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*l + 4*b = 407*l, l = 5*b - 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f = 16*f + 120. Solve 4*u - f*x + 28 = 0, -5*u - 5*x - 8 = 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 72*a**2 - 341*a - 386. Give p(-67).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 41 = 59. Solve -b*m = -4*c - 1, 1 + 10 = -m - 2*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16419779 or -109?\nAnswer: -16419779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = q + 36. Let x = q + -7. Sort 0, -5, x in decreasing order.\nAnswer: x, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 6*s**2 + s**3 - 2*s**3)*(-277*s + 0*s - 65*s)*(3 - 2 - 3)*(3 - 3 - 1).\nAnswer: -684*s**4 + 4104*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119209423 and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 473042 and 561?\nAnswer: 15610386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u**2 - 746*u - 168. Give l(82).\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-86)\/(-8))\/(-9 + 245\/28). Let b = p - -25. Let k(d) = -d**3 - 18*d**2 - 4. Give k(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54\/(-9) + 1 + 12790.\nAnswer: 5, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*1*(0 + sqrt(3888))*1 + -2)**2*-1.\nAnswer: -34996 + 432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107002 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(i\/i**(-1\/2))\/i)*i)\/i)\/i*i*((i\/(i\/(((i*i*i\/(i\/((i\/i**(-7\/4))\/i)))\/i)\/i*i)))\/i)\/i*(i*i**(-6\/11)*i)\/i**(-6))**(-28) assuming i is positive.\nAnswer: i**(-2373\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -9. Let w be (m\/8)\/1*694. Let h = w - 5897\/17. Is h at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7802580 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2\/3, 15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 500278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -22497.3 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 0*o + 3*o)*(3012*o**2 + 5899*o**2 - 8324*o**2 - 19926*o**2 - 13632*o**2 - 6980*o**2).\nAnswer: -79902*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 28. Let i(u) = u**3 + 5*u**2 + u + 2. Determine i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 249 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (9 - 2) - (8 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2986*m - 3393*m - 3496*m.\nAnswer: -9875*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 5. Let a be l(3). Is 8 a factor of 1\/(a\/1 + 7)*192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 0*s**3 - 20 - 7 - 3*s**3 - 87.\nAnswer: -s**3 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 4*m + 11 = 2*l - 2*m - 9*m, 0 = 16*m + 144 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t. Let x(v) = 803945*v**2. Calculate w(x(z)).\nAnswer: -1607890*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 475288 and 2554673.\nAnswer: 20437384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -1316, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-6)\/(-36)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 32?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -11311210 to the nearest ten thousand.\nAnswer: -11310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 8 - 32. Suppose 0 = 5*m - r - 13. Solve 3*y + 2*o + 8 = m*y, -2*y = 5*o + 13 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102239 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 18957, 19040, 19123, 19206?\n\"Answer: 83*h + 18874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 0. Suppose w*n = 2*n + 6. What is the lowest common multiple of 5 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13380, -14538, -16476, -19194, -22692, -26970, -32028?\n\"Answer: -390*t**2 + 12*t - 13002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5218.1 take away 5?\nAnswer: 5213.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1657, 1652, 1637, 1606, 1553, 1472?\n\"Answer: -r**3 + r**2 - r + 1658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = 7\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7632905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, z: 2, n: 1, q: 6, r: 2}. What is prob of picking 1 n, 1 b, and 1 q?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1660)\/664 + (-21)\/2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 5\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - r**2 - 4*r**2 + 8 - 2*r**2. Let s(i) = -6*i**2 + 5*i + 7. Let v = -2 - -8. Let m(g) = v*s(g) - 5*h(g). What is the derivative of m(q) wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let z(p) = -2*p**3 + 2*p**2 - 1. Let j be z(o). Differentiate -4*m**3 + m**3 + 2 + 0 + m**j with respect to m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 3*sqrt(567)*-2 + 5)*-5*-4)**2.\nAnswer: -345600*sqrt(7) + 8190400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 7:46 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1929 = 33*g - 2523 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 18*u**2 - 25*u + 120. Determine d(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 95, 191, 287, 383?\n\"Answer: 96*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from nbnngpvnbgbvp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 4957?\nAnswer: 4957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 - 94. Let b = a - -88. Calculate the remainder when b is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -76*v + 9. Let j(r) = 19*r - 2. What is 9*j(l) + 2*k(l)?\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 68, -0.6?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 9:38 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5221 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - g + 15 = -12, 5*t + 678*g - 90 = 671*g for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 1. Let z be k(-1). Let q = -0.42 - -0.02. Let p = 5.7 - 6. Which is the second smallest value? (a) p (b) q (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -21*i**5 + 207*i**4 - 144*i**3 - 372*i**2 = 0?\nAnswer: -1, 0, 2, 62\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.301 in 2\/5, -0.4, -6\/149?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 48 - 11 = -578 + 15 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*m - 144 - 144 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/85 (c) 0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325) + (2 + sqrt(325) - sqrt(325)) + -3)**2 + 2*(sqrt(117) + -1)**2*3.\nAnswer: -56*sqrt(13) + 1037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + 2*u + 0*u)*(3 - 4 + 2) + 0*u - 4*u + 5*u - 6*u - 5*u + 3*u)*(2*u - u + u)*(124 + u - 124).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h + 20. Let f be (-8)\/(-3)*(-6)\/h. List the prime factors of (-2)\/f*(-28 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1836) - 4*sqrt(1836)) + sqrt(1836))\/(-4*sqrt(3)*-4)*-6.\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c - c + 7*c + 12*c - 344)*(8*c + 3*c - 4*c + (-c - c + 0*c)*(6 - 4 - 1)).\nAnswer: -5*c**2 - 1720*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 28 - 10*l**2)*((l + 2*l - 2*l)*(1 + 1 - 3) + 4*l - 4*l + 2*l - 5*l - l + 5*l + 1 - 1 - l + (3 - 2 - 2)*(-3*l + 2*l + 3*l) + 21 - 21 - 2*l).\nAnswer: 50*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6717, 13946, 21203, 28500, 35849, 43262, 50751?\nAnswer: 58328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 287722457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21797 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-88)\/18)\/(-4) + 4\/(-18). Let v be (-1 - -2)\/(2\/(-1740)*q). Round v to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 627 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 25*b**2 - 28*b + 67. Let j be k(26). Solve 13*m = 10*m + j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26843 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -13. Let y = 7 - l. Suppose -2*t - 60 = -y*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**2\/2 - 1353530*r - 2707070 = 0 for r.\nAnswer: -2, 541414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 16*z - 8. Let f be d(6). Suppose f*y - 4 = 3*b, 3*b + 2*y = 4*y + 4. Solve 3*x**b - 4*x**2 - 4*x**3 + 0*x**4 - 4*x**4 = 0 for x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 3. Suppose -7*h + 3*h + n = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -335*x + 8901 + 4834 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -44260\/11, 1\/7, 0.1, -1\/4 in increasing order.\nAnswer: -44260\/11, -1\/4, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4611*k = 4500*k + 27333 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 728000 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*x + 4*q - 96, -2*x + 4*q - 116 = 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - (sqrt(78) + (sqrt(78)*-2*1 - sqrt(78)))) + sqrt(78)*-1*5)\/((sqrt(72) + 2*sqrt(72)*-2 - sqrt(72))\/sqrt(12)*-5).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-1\/7))\/(p*p*p**(-10\/9)))**(1\/49) assuming p is positive.\nAnswer: p**(16\/3087)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 7 - 1)*(-r + r - 2*r**2)*(-3 + 2 + 0).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 11 (b) 50\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6\/11 (b) 1\/5 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 61*w + 15 = -n - 64*w, 0 = 4*n - w + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2092?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f*f*f*f**(2\/23)*f)\/f))*f*f\/(f\/f**(-4\/17)))\/(f**(-1))**(1\/33) assuming f is positive.\nAnswer: f**(50089\/12903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -402322 - 324431?\nAnswer: -1232303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:47 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5389 (base 15) to base 5.\nAnswer: 1031204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -147.3. Let z = -15.3000182 + v. Round z to six decimal places.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(((q*(q\/(q\/q**13*q))\/q*q*q)\/q)\/q))\/q)\/q**(-3\/26))**(3\/8) assuming q is positive.\nAnswer: q**(-927\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 137437873 rounded to the nearest 1000000?\nAnswer: 137000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093960322.\nAnswer: 2, 7, 13, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 35*u**2 - 196*u - 2884. Give f(-38).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + sqrt(468)*-1 + -1 + 3)*-4*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**5\/12 - 97*a**2. Let r(t) = -t**2. Determine r(n(g)).\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 12*l**2 - 19*l - 1. Suppose 2*p = 2*o - 0*p - 6, 5*p + 5 = 3*o. What is the least common multiple of f(10) and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5772 + -5772.0000004861. Round a to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -185936 or -185971?\nAnswer: -185936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(56)\/sqrt(2)*6) - (sqrt(42)*-1*4)\/((sqrt(6) - sqrt(30)\/sqrt(5) - sqrt(6))*-2))**2.\nAnswer: -1740*sqrt(7) + 23773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 51*t**2 + 342*t - 19. Determine s(-57).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 18, -4, -5, 2, -3 in ascending order.\nAnswer: -16, -5, -4, -3, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 2. Suppose 6*k - 20 = k, 4*z - 48 = -k. Suppose -4*v - z = -31. Let h be o(v). Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 632 + -217. Suppose -5*t + p = 2*q, 83 = -5*t - 3*q + 503. Suppose -2*b + 108 = 2*b. Calculate the highest common factor of t and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 733*o + 6. Let b(y) = -367*y - 3. Let v(n) = 7*b(n) + 3*z(n). Is v(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.055 - 1.055. What is the closest to b in -0.1, -3, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -16\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34.6 - 42. Let t = 108 - 101.2. Let p = x - t. Round p to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4922429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4322772*m**2 + 1644153?\nAnswer: 8645544*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**3 - 3*c**2 + 3*c. Let t = 13 - 33. Suppose -8*q = -2*q - 24. Let p(a) = q*a - 48*a**3 + 20*a**2 - 16*a - 8*a. Give t*d(j) - 3*p(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2))\/sqrt(5) - ((2 + sqrt(11))*2 + sqrt(11)).\nAnswer: -2*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 134298067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2869 is divided by 88?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and -3.305729848?\nAnswer: 3.105729848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**3 + 4*l - 4*l)*(1 - 1 + 7) + 10*l**2 + 1 - 4*l**3 - 10*l**3 - 8*l**2 in the form i*l + x*l**3 + v + h*l**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 792.06mg?\nAnswer: 792060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-8)*2\/(-3). Let b be (-2)\/2*-3 - g. Let t be (-186004)\/(-6) - b\/6. Round t to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420876 to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.19, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 1. Let r = 0.071 + 0.389. Let p = r - -2.54. Sort p, -1, b in decreasing order.\nAnswer: p, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6110 is divided by 2035.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 65 + 77 + o)*(-54*o - 19*o**2 + 54*o).\nAnswer: 19*o**3 - 228*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22569 - -22568.87383. What is v rounded to 3 dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854009691.\nAnswer: 3, 37, 431, 17851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 2. Let p(u) = -3*u - 6. Let w = 12 + -7. Let r be (-17)\/5 - (-2)\/w. What is r*p(k) + 8*x(k)?\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8 = -17. Put -2, v, 5 in decreasing order.\nAnswer: 5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**4\/24 - d**3 + 2*d**2. Give g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117 (base 9) to base 16.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v = 2*g, 5*v - 2*g = 24. Put v, -15, -2 in decreasing order.\nAnswer: v, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -302, -610, -918, -1226, -1534, -1842?\n\"Answer: -308*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {y: 2, h: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*l + 99 + 106 = 0, l = 5. Suppose 0 = -4*c + a + 61. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 - 512052*i**2.\nAnswer: 4*i**2*(i - 128013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b550112 + 7?\nAnswer: -b550107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-17\/4)*l\/l**4*(l*l\/(l\/l**(2\/7))*l)\/l*(l\/(l*l\/l**(-5)*l*l)*l**(-4)*l)\/(l*l\/(l**(-1)*l))**(-37) assuming l is positive.\nAnswer: l**(6745\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 3*z = -4, 10*z - 14 - 46 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*r**3 + 22*g**3*r - 161*g*r**2 - 4362*r**6 wrt r.\nAnswer: -12*g**3 - 523440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ummuumuumuumuuuuumu?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 14*n + 22. What is l(-12)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(343\/(-4102)) + 464\/(-1624).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r**2 - 1226*r - 14972. What is l(-14)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*c + 159 - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**3 - m**2. Let n be r(-1). Let l be 2\/(7\/(-2) + n). Sort l, -5, 5, -54 in descending order.\nAnswer: 5, l, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2273253*x - 13639510. Give z(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*w = 76*w - 29*w - 18*w - 2336 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 11.2?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 104.168 times 4\nAnswer: 416.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 15. Is u > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 4*x**3 - 15*x**2\/2 + 70*x + 42. Is v(5) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20798 is divided by 1172?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 + -22.13. Let g = -22.1 - o. Let t = -0.5 + 0.9. Are t and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**7\/630 + d**6\/30 - 4*d**5\/15 - 25*d**4\/24 - 34*d**2. Let m(s) be the second derivative of r(s). Factor m(n).\nAnswer: -4*(n - 4)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -187 and 10271361209?\nAnswer: 10271361396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23023605 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r - 369 - 184 = 230 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 655684.9089847.\nAnswer: 655684.4089847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750813 is divided by 1981.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -862 + 862. Solve m = -4*o - 20 - 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 12*o - 13. Let u be d(-10). Let l be 2\/7 + 54\/u. Suppose -3*s + l*s = 5. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 3. Let n(a) = -134*a + 28. Let v(k) = 4*c(k) + n(k). What are the prime factors of v(-3)?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 3. What is u(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 5:55 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -1\/10 (c) -3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4322388696?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(16\/2 - 4)*3. Suppose -q*y + 52 = y. Let r = y - -40. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140)\/(-63)*567\/(-1890)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from ojjnjnonknoon.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 3*l**2 - 2*l**2)*(-326*l**2 + 705*l**2 - 621*l**2).\nAnswer: 726*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -34e6 (base 15) in base 4?\nAnswer: -2233221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.185 - 17.075. Let p = b + 18. Let j = p + 0.181. Round j to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*d - 66, 2*g = -10 + 12. What is the remainder when 145 is divided by (9 + -5 + -7)*d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27561 is divided by 70.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/(3 - 22\/7) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 4.1. Let i = -412\/21 + 1627\/84. What is the nearest to i in -2, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -91\/145 - 5\/29. Which is bigger: r or -18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*t + 36 = 0, 2*r = -3*t + 265 - 292. Let m(d) = 3*d - 15. Give m(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*w + 2*v = 1094*w - 16, -4*v + 7 = -5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19308 - 19305. Let n = 3 + -3. Solve n = d + x - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x, 5*f - 3*x = 2*f + 36. Solve -2*b + 3*z = -f, -z - 9 = -4*b + b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, 1, -3.\nAnswer: -13, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmiuppupkmmim. Give prob of sequence piup.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001111000100101 (base 2) in base 5?\nAnswer: -13420124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -978580, -1957161, -2935744, -3914329, -4892916, -5871505, -6850096?\n\"Answer: -z**2 - 978578*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/21)\/(-4 + 14\/7).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 6. Let y(l) = l**2 - 7*l - 3. Let v be y(w). Calculate the greatest common divisor of 20 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-28)\/(-6))\/(10\/45). What is the least common multiple of (-1 - (-10)\/6)*u and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let b(a) be the second derivative of a**3\/3 - a. Determine b(x(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 49*s - 127. Give r(51).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10032 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1408*c + 1284*c - 2929*c.\nAnswer: -237*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 821 divided by 821.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5414, 5806, 6498, 7496, 8806, 10434?\n\"Answer: t**3 + 144*t**2 - 47*t + 5316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 + 408 + 433 + 59 - 64*y - 5*y**2 + y**2 = 0. What is y?\nAnswer: -24, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2266, -2281, -2300, -2323, -2350?\n\"Answer: -2*u**2 - 9*u - 2255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-84) + (-76)\/(-14). Suppose -12*g + 7*g - 220 = 0. Let d = f - g. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -1. Let w = -3045\/11 + 277. Sort -1\/2, w, o, -1 in increasing order.\nAnswer: o, -1, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 9*d**2 - 15*d - 14. Suppose -3*p + 13 - 4 = 0. Suppose -2*h + 4*k = 28, p*h + 5*k = -0*h - 20. What are the prime factors of s(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187624647?\nAnswer: 3, 7, 992723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 2*a - 76. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 + 5*h**2 - 11*h**2 - h**2. Let f be (3 + -5)*(-1)\/2. Let o(c) = 2*c + f - 1. Calculate k(o(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 137537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149394 (base 13) to base 6.\nAnswer: 14502150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8738804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*c + 416 - 752 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -57, -117, -201, -309?\n\"Answer: -12*z**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 53 times 4\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*m + 1623269 = -1224763. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 20\/5)\/2. Suppose s = -28*d + 23*d + 90. What is the least common multiple of (-3)\/(-26 - 1) + (-265)\/(-45) and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muk. What is prob of picking 1 u and 1 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 353 = 3*p, -50*p = -3*h - 45*p - 159. Let l be (0 - -2) + (2 - 46). Is l greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 13*u + 21. Calculate r(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/8 - 11*x\/8 + 423\/2 = 0. Calculate x.\nAnswer: -47, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 29*h - 78. Solve -2*x - 5 = -h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244003 (base 5) to base 9.\nAnswer: -37112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 - -2.4. What is the second smallest value in l, 9, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/32 at least -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-108)*280\/1575?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from wwxmycmbcwwyw?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82338080403563 + -82338072920666.3999991. Let f = 7482895 - t. Let c = -1.6 - f. What is c rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from gefgrgfrfgfprrf?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 (base 8) in base 2?\nAnswer: -1100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.6 + -69. Let v be 1\/2*(1 - 1). Which is the closest to v? (a) 4 (b) r (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(40\/(-638)) - 5\/(-25). Let x = -64 + l. Factor -1\/6*h**2 - 1\/2*h + x.\nAnswer: -h*(h + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 14*i**2 + 14*i + 20. Let r be x(12). Let t = 100 + r. Let q(v) = -v**2 - 2. Give q(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 2*n - 3*n)*(-2*n**4 + 6*n**4 - 2*n**4) + 2*n**5 + n**5 - 4*n**5 + n**5 + 6*n**5 - n**2 + 2*n**2.\nAnswer: 8*n**5 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 20*n**2 + 26*n + 47. Let r be x(21). Suppose 1064 + r = 2*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*k + 3 + 23, -g + 2*k - 8 = 0. Let j(i) be the third derivative of 1\/6*i**3 + 0 + 0*i - 3*i**g - 1\/12*i**4. Differentiate j(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 31*c + 2. Let i be 3 + -7 + (-8)\/(-4). Let x be h(i). Round x to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20250 is divided by 5060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 6*k + 14. Suppose -a + 2*a = k. Let p(r) = 4*r**2 + r - 1. Determine p(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 78262652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:54 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8786 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -56. Suppose u = -2*c + 3, 6*u = 2*u + 2*c + 12. Let f = -9 + 15. Solve u*o + 6 = q*i - i, o + i = f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/20524 - -7963285\/184716. Let p = 130\/3 - f. Factor p*q**2 + 2\/3 - 8\/9*q.\nAnswer: 2*(q - 3)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 1387 = 1371 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*z = 255*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -7, 3\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(605) - (-1 + sqrt(605))*5)**2 + 4 + (sqrt(20)\/sqrt(4) + 4 - sqrt(5)).\nAnswer: -440*sqrt(5) + 9711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 85*w - 120. Let n be t(-8). Let s = 807 + n. Solve 10 = s*r - 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18654, -37315, -55966, -74601, -93214?\nAnswer: -111799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 8306\/67. Is v equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 349, 1402, 3161, 5632, 8821?\nAnswer: 12734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = 40*t - 3539. Solve -12*d - t = -33*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -150.626 (c) 8 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x**2)*(-6 + 3 + 1)*(2 + 2 - 3)*(-5 + 5 - 3).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143 - 93. Let d = -30 + q. Suppose l = 3*a + 4*l - 24, 5*l - 36 = -4*a. What is the highest common factor of d and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 688.87 - 676. Let r = s - -1.23. Round r to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 10. Let a be j(5). Suppose a + 74 = 3*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -228, 4, -1.4, -29.2 in descending order.\nAnswer: 4, -1.4, -4, -29.2, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -13 - -2 - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c - 21. Let t be w(7). Let g be (-2 - (t - 8)) + (-12)\/(-2). Solve 5 = g*r + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 2. Let n be d(6). Suppose -3*f + n*f + 1 = 0. What are the prime factors of (9\/18)\/(f\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s = 15*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)*q)\/q*(q**0\/q)\/q*(q\/(q*q**(-4\/9)))\/q**(-3))\/((q**(-1\/5)\/(((q*q\/q**(-2\/3)*q)\/q)\/q))\/(q**(-1\/8)*(q*(q*q*q**0*q)\/q)\/q)) assuming q is positive.\nAnswer: q**(427\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 5*a**9\/756 - a**6\/180 - 16*a**3\/3 - 2. Let m(f) be the third derivative of w(f). What is the third derivative of m(o) wrt o?\nAnswer: 1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47679311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l - 7. Let i(h) = 4*h - 3. Suppose 2*f - 9 = -3. Let j(p) = f*w(p) - 7*i(p). Let t be j(-3). Which is the closest to -1? (a) 0.3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/6863 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210001210122 (base 3) to base 9.\nAnswer: 1701718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 2*f - 29 + 9, -2*m = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2. Let g be 0\/((2 + 0)*i). Suppose g = -0*y - 5*y + 65. What is the greatest common divisor of 65 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*p - 4. Let w = p - -2. Let k = -2 + 2. Is k at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -146*g + 16. Let y be u(6). Let k = -1371 - y. Round k to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 465, 463, 461, 459?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0*d - 2*d + 8 = 0, d = 4*j + 18. Let p be 222\/11 + j\/22. Solve -2*z + 16 = -4*v - 4, z + 4*v = -p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-24))**(-23))**39 assuming r is positive.\nAnswer: r**20631","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 5*m + 1. Let a(x) = -x**3 - 6*x**2 + 30*x - 1057. Determine a(o) + 6*n(o).\nAnswer: -o**3 - 1051","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50234263393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 3. Let z be m(10). Let f = -3 - z. Suppose -f*r + 4 = -3*r. Is r greater than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microsecond in nanoseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00260275 to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61\/(-14*5\/(-70)) is divided by (1*2)\/(-2)*-17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*z - 88*z = -39*z - 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 100*b**2 - 173*b - 1943. Calculate the remainder when d(98) is divided by 76.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843984?\nAnswer: 2, 3, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.642571 weeks to microseconds.\nAnswer: 5227026940800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 2035?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-32)\/(-5))\/((-2)\/(-85)). Let c be -2 - (-4 + 5) - k\/(-2). What is the greatest common factor of c and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55139*h - 55343*h + 2856 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + g = 6, 2*b = -6*g + 7*g - 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -11. Let g be (-45)\/10*(-2)\/k. Suppose 4 = t - g. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -26. Suppose -z = -14*v + 9. What are the prime factors of -49*2\/(-1)*3\/v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -17\/210*g**7 + 0*g**4 + 0*g**5 + 0*g - 3*g**2 + 1\/6*g**3 + 0*g**6 + 0. Find the first derivative of p(f) wrt f.\nAnswer: -68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 530 = -8*a. Let j = 528\/5 + a. Let y = 34339.4 + -34334.4. What is the closest to -8 in -1\/10, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -295f?\nAnswer: 2964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/3 + 1\/12. Let u = 28 - 113\/4. Let o be (-1*2)\/(-3 + 1). Which is the closest to u? (a) o (b) f (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 5696.\nAnswer: 28480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 23*k - 20. Put 5, -4, k, 4 in ascending order.\nAnswer: -4, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k\/(k*k*k\/(k\/(((k*k**(-2\/5)*k)\/k)\/k))*k*k))**3\/((k\/k**1*k*k)**32*k*k*k*k*k\/k**(1\/3)*k*k*k*k**3) assuming k is positive.\nAnswer: k**(-1207\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 889271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r + 13. Suppose 96 = -58*q - 78. What is l(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 13, 1, 0, -3 in ascending order.\nAnswer: -10, -3, 0, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252280 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 12 = 4*t, -1 - 2 = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j**(1\/3)*j*j)\/j)))\/j*j)**(-32)*(j**(3\/2))**27 assuming j is positive.\nAnswer: j**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30186 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*q + 5*s + 4, 2*q - 6 = -2*s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 5 - 4)*(p + 0 + 0) + 25*p - 2 + 13*p - 15*p)*(3*p**2 - 3 + 3) in the form m*p**2 + v*p**3 + b*p + k and give v.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 566722361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 19, -3 in descending order.\nAnswer: 19, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 14*c**4\/9 + 290*c**3\/9 - 140*c**2\/9 - 1160*c\/9 + 112\/3 = 0.\nAnswer: -21, -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 20625*l = -20624*l + 41253*l - 60, 4*l + 36 = -2*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -74960.\nAnswer: 3\/74960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 631572366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -58.0793?\nAnswer: -17.42379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29.93929 and -1.\nAnswer: -30.93929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-11\/3)*i*i**39*i*i)\/(i*i**21)**(2\/15) assuming i is positive.\nAnswer: i**(177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.229961 - 0.23. What is b rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*1 - (-65)\/15. Suppose -l*u + 72 = -3*u. Suppose 4200 = -38*b + u*b. What is b rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4*s + 28 = a, 5*s + 6 = -a. Solve 5*l - d + 1 + a = 0, -3*l + 20 = 4*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 119786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 3, -5, -6\/43, 1\/7?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.607 and 1.1.\nAnswer: -0.6677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/12)\/1 + -4. Are l and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -19. Let w = m - -6. Sort -3, w, -1.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200605511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 433. Let c(t) = 272*t. What is p(c(j))?\nAnswer: -272*j - 433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 3:23 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 59*g**2 - 540*g - 526. Give x(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txs when three letters picked without replacement from {g: 1, x: 3, s: 1, c: 7, i: 2, t: 4}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 33 + 70 = -5. What is the least common multiple of 2538 and o?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 5440443307728.\nAnswer: 5440443307731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 58, 96, 170, 292, 474?\n\"Answer: 2*a**3 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19642.3 and 3767059297?\nAnswer: 3767078939.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 1. Let i(r) = 5*r**3 - r**2 - 3. Let t(v) = 2*d(v) + i(v). Is t(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5704 and 7762592.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -8. Let w = -3.74 - v. Round w to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknkkknkkk. What is prob of sequence kn?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -3*y - 2*d + 10, -y + 5*d - 25 = 0. Suppose 0*s + 2 = -2*s. Sort y, -2, s in increasing order.\nAnswer: -2, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -5 + 25. Find the second derivative of 2*z**5 + 8*z**4 - 8*z**k - z wrt z.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*r**2 + 4 + 11 in the form u*r + f*r**2 + j and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at least 3016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -3 - 3 - 16) + 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 5*s - 99 = -0*s + 19*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1323*f**2. Let w(t) = -t**2. Give i(w(l)).\nAnswer: -1323*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(0 + (-1)\/(-2)). Suppose v = -0*j - 4*j + 32. What is the lowest common multiple of 0 - 94\/(-8) - (-2)\/j and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 966 and 19754309.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -10*i - 66, -a + 20*i + 21 = 15*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2 + 2)*(-2*t**3 + 2*t**2 - 2*t**2) - 3*t + 2*t**4 + 3*t - 4.\nAnswer: -4*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-7))**(-37) assuming l is positive.\nAnswer: l**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 317 = -5*a + 795, 5*z = -20. Let f(r) = 8*r**2 - 1. Let g be f(1). Suppose g*k - a = -80. Calculate the remainder when 38 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 254889 and 254890 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126397753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a hour in seconds?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 11 in increasing order.\nAnswer: -4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 + 18*j - 43. Let l be n(5). Suppose -l = -3*y - x + 78, y - 98 = -5*x. Calculate the remainder when y is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 439 + 249. Let t = -148 + u. Let d = -16 - -22. Calculate the greatest common divisor of d and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*k + 9999998 = 0, j - 2*k + 2000001 = -3*k. What is j rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/78 + 2*s**3\/3 + 25*s**2\/13 - 430*s. Factor c(y).\nAnswer: 2*(y + 1)*(y + 25)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 40 + 59 = -3*j, -4*u + 29 = -5*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a61 (base 14) to base 5.\nAnswer: 31140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 120?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 660?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1180, 2033, 2886?\nAnswer: 3739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2425*d*y**2 - 993*d + 2 wrt y?\nAnswer: -4850*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*y - 0*w + 18, -2*y - 6 = 2*w. Suppose 0 = -5*i - 3*c - 10, 3*i - 2*c = c + 18. What is the nearest to i in y, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83780 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 1:46 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 84?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-165)\/(-56) + -2 - 1. Let w = -81\/56 + m. Are w and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**2\/2 - 2*w - 2. Let q be b(4). Suppose -2*l = t - 28, q*l - 5*t - 22 = 18. Calculate the remainder when l is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*b**3 + 189251*b + 2*b**4 + 1 + 3*b**4 - 189256*b to t*b + s*b**3 + n*b**2 + m*b**4 + a and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**3 + 194*t**2 + 1330*t. What is s(-8)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-2 - -1))\/(-2). What is the common denominator of ((-43)\/10)\/((-2864)\/7160) and (56 - (n + 1))\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -2\/15, -0.11?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 4. Let w = 25 - 29. Let d be 27\/9 - (0 + w). What is the greatest common divisor of g and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/18)\/(1\/6). Let j(d) = -6 + 11*d - 14*d + w + 12. Let o be j(-11). What is the greatest common factor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-5)\/20 + (-28)\/(-2464)*156?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808272 and 8208.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8128*p = 8052*p. Let n(s) be the second derivative of 2*s + p*s**3 + 23 + 0*s**4 - 3\/10*s**6 + 3\/10*s**5 + 0*s**2. Find i, given that n(i) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -16*a - 18. Calculate the least common multiple of 6 and z(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*n*o**3 + 8*n*o - 2*n - 19*o**3 + 149*o**2 wrt o.\nAnswer: -102*n - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1. Let u(q) = q**2 - 28. Let v = -7 + 25. Let j(z) = v*d(z) + 2*u(z). What is the first derivative of j(a) wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-3 - (-6)\/3) + 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 195*r - 387*r + 1049*r + 448*r + 5633*r in the form v*r + i and give v.\nAnswer: 6938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -116\/5 (b) 30.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517843776 divided by -86307296.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13000221 + -20?\nAnswer: -13000301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 56 + 41 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 41. Let p = -19 - b. Solve 4*w = 4*y + p, 0*w + 2*y = w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/((-1)\/38). Let y(p) = 10*p + 8. Suppose 5*z - 18 = b, z - 2*z + 2*b = -9. Let x be y(z). What is the greatest common factor of x and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - 4\/12*-3. Let x(w) = 5*w**2 - 28*w + 9. Let f(t) = -26*t**2 + 140*t - 45. Let a(l) = 2*f(l) + 11*x(l). Let o be a(c). Solve -2 = d - o*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*(-1)\/(15\/6). Let y(u) = m*u**2 + 4*u**2 - u**3 - 3*u - 2*u**2. Let s be y(2). Solve -4*l + 5*l - s*d + 1 = 0, -4*l = -4*d + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2*b - 1. Let z(m) = 4*m**2 + 17*m - 4. Suppose k + 1 = 0, -3*f - 4*k - 2 = k. Let n(d) = f*z(d) - 5*x(d). Give n(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 11022131121333?\nAnswer: -11022131121333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(8)\/(sqrt(3200)\/sqrt(8)))**2 + -1*(sqrt(200) - (sqrt(200)*-6 + -1))**2.\nAnswer: -19601\/2 - 140*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 = 4*j, -5*j - 4 = 4*o + 2. Let k(i) be the first derivative of i**4\/4 + 4*i**3\/3 + i**2\/2 + 2*i + 1. What are the prime factors of k(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/1 - (-22)\/6. What is the second smallest value in 4\/95, 2\/15, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451*-0.2.\nAnswer: -90.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342627771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.02172?\nAnswer: 0.02172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-5\/6)*i)*i\/(i\/(i\/(i**(-3)\/i)*i)))\/(i**4*i\/i**6))\/((i\/i**(-6))\/i*(i*((i**(-6)\/i)\/i)\/i)\/i*i*(i**(1\/2)*i)**(3\/17)) assuming i is positive.\nAnswer: i**(488\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, 21, 61, 127, 225, 361, 541?\n\"Answer: r**3 + 4*r**2 + r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37303 and 4015.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2607*l**3 + 3 + 5*l**2 + 1 - 2605*l**3)*(-2 + 2 - 1).\nAnswer: -2*l**3 - 5*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 234503.\nAnswer: -93801.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -7*z**2 - 7*z - 20. Let t(h) = 6*h**2 + 7*h + 19. Let l(d) = 5*t(d) + 4*x(d). Let r be l(-10). Suppose 0 = 5*i + 35 - r. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2236\/64 + 25\/10000*25?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (-1)\/7*-41 + 4\/28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -2 (b) -0.4 (c) 0 (d) 3.184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -12.\nAnswer: -25\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.94850604 rounded to three decimal places?\nAnswer: 2.949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 13*s**3 + 6*s**2 + 7*s + 63. Let q(a) = -4*a**3 - 2*a**2 - 2*a - 21. Calculate -2*l(z) - 7*q(z).\nAnswer: 2*z**3 + 2*z**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1925*o + 19256. Give y(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 - 10821\nAnswer: -10821.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -820*k - 7330. Calculate the lowest common multiple of g(-10) and 174.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(82\/(-44) + 2). Suppose v + 4*b - q = 0, 5*v - 94 = 5*b + 66. List the prime factors of (v\/(-9))\/(8\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 4. Suppose 0 = n*s - 122 - 229. What is s rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 0*q**2 - 3*q**2. Let a(z) = -z**2 + 0*z**2 - 886*z + 886*z. What is d(a(i))?\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -7, -20, -55, -118, -215?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 8035468.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 + 12*w + 143. Let p be c(12). Let s(h) be the first derivative of 16*h**3\/3 + h**2 + h - 1. Let g be s(p). Solve 0 = -q - 2*q + g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26360*w**5 - 99358*w**2?\nAnswer: -1581600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -11 + 4 - 8 - 2*n**2 - 3 - 10*n. Let w be q(-7). Sort 1, -0.2, w in increasing order.\nAnswer: -0.2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 259*(3 + 285\/(-105)). Solve -12*s + c*s = -310 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/3 + 404*g**2\/3 + 38119*g\/3 + 48692 = 0.\nAnswer: -259, -141, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 770060901?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (1*(-30)\/25)\/(2\/(-5)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/210 and 59\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let u be -1*q\/(-1)*1. Let f(d) = d - 3. Let o be f(4). Is u bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/(u*u*u**(2\/13)))**(1\/5)*((u*u*u**(-2\/7))\/u*u*u**(-2\/11))\/(u\/u**(-2\/9))**12 assuming u is positive.\nAnswer: u**(-227702\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 54388 + 13\nAnswer: 54401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 20*g - 23 = 0. List the prime factors of 3\/(-3) + g + -1 + 430.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1841, -1648, -1393, -1076, -697?\n\"Answer: 31*v**2 + 100*v - 1972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25358 = 3*q - z - 4730, -10026 = -q + z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7206 = 235*d - 792*d + 1149 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9667 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4928*r + 15970 - 60255 = -1184*r + 151299 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-4)*(-5 - 2). Let z(t) = t + 11*t**2 - 3 - 2 + o + t**3 + 9*t. Let y be z(-10). Solve 0 = -4*l + y*l - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1895368, -1895367, -1895368, -1895371, -1895376, -1895383?\n\"Answer: -y**2 + 4*y - 1895371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7, -6, -85, -278, -633?\n\"Answer: -8*b**3 + 15*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x + 1. Let k(y) = -y + 1. Calculate -c(l) + 5*k(l).\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 20*i - 18. Let b be d(9). Let f(v) = v**2 + v + 24. Determine f(b).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q**2. Let k = 1996 + -1994. Let f(j) be the third derivative of 0*j + 0*j**3 - 1\/8*j**4 + 18*j**k + 0. What is d(f(c))?\nAnswer: -90*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324416 divided by -4?\nAnswer: -331104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**1*t*t**(-1\/9)*t**(-2\/7)\/t**10 assuming t is positive.\nAnswer: t**(-592\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l - 383*l - 2667 = 51*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d**2 + 27*d + 11. Suppose 2*m + 16 - 38 = 0. Let o(y) = -2*y**2 + 14*y + 6. Let j(c) = m*o(c) - 6*w(c). Find the second derivative of j(t) wrt t.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125098 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 + (-65 - -12) - 169.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w. Let p(k) = 3*k + 365477. What is p(z(n))?\nAnswer: -6*n + 365477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3828*r**2 - 3508*r - 320.\nAnswer: 4*(r - 1)*(957*r + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24688972 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7201*r + 4*y = -7204*r + 44, 2*y = -3*r + 22 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8056\/9*w + 2\/9*w**2 + 8112392\/9.\nAnswer: 2*(w + 2014)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 16*v - 3. Let m(p) = -8*p + 2. Let b(r) = 5*m(r) + 3*s(r). Suppose -4*o - 2 = -6. Let h(j) = j. Let c(z) = o*b(z) - 5*h(z). Give c(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, g: 7, s: 1, r: 3}. Give prob of sequence gsg.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 13*v - 66. Let t be g(-4). Suppose 2*s - t*p = 18, -5*s + p + 0*p = -33. Calculate the lowest common multiple of 9 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -23, -30, -49, -86?\n\"Answer: -t**3 + 3*t**2 - 3*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v - 185. Let w(s) = -s - 57. Let x(p) = 6*n(p) - 19*w(p). Calculate x(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxqqsjsyjxyxqsqssrs. Give prob of picking 1 q, 1 r, and 1 y.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 1 + 3 + -1. Suppose k = a*k - 288. Suppose -2*g = 3*j - 35, 3*j - 21 = -g + 10. Calculate the greatest common factor of k and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100110 - 11001101010010?\nAnswer: -11001010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -240924, -240900, -240868, -240834, -240804, -240784?\n\"Answer: -h**3 + 10*h**2 + h - 240934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103331014 (base 5) to base 10.\nAnswer: 448884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -425122 divided by -212561?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 34 = -3*p + 5*m, -5*p + 10 = 5*m. Let i(b) = 90*b**2 - 33*b - 97. List the prime factors of i(p).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370796, -370802, -370808, -370814?\nAnswer: -370820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(k**(-10)\/k)*k)\/k*k**(10\/11))\/((k\/(k**(-1\/26)*k))\/k*k*k**0) assuming k is positive.\nAnswer: k**(3967\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 407901938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7201, -7203, -7205?\n\"Answer: -2*q - 7199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -289264, -289254, -289238, -289216, -289188, -289154?\n\"Answer: 3*c**2 + c - 289268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c + 19. Let m(k) = -5*k + 10. Let t(w) = 7*m(w) - 3*y(w). Let v be -5*(-3 - (-29)\/5). Calculate the remainder when t(v) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 6*g + 59, -17*g - 473 = 6*j - 2*j + 21*g + 39 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 183933\/133 < 1384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 96. Let b(f) = -f**3 - 20*f**2 - 19*f + 3. What is the remainder when (-10)\/(-4)*(3 - 1) is divided by b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-636)\/(-84) + -7 + (-1742)\/(-14) and 425.\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66351526*z - 138402848.\nAnswer: 66351526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1325\/7 - -189. What is the nearest to n in 0.1, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + 3 - 3)*(1 + 17*k**2 - 1519*k - 12*k**2 + 1516*k + 8*k**3) to j + p*k**2 + g*k + l*k**3 + h*k**4 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 15*m - 6. What is s(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7*v**4 + 584*v**3 + 1592*v - 12. Let p(t) = 8*t**4 - 583*t**3 - 1594*t + 14. Let a(q) = -7*b(q) - 6*p(q). Find the second derivative of a(m) wrt m.\nAnswer: 12*m**2 - 3540*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Solve 1 = -4*i + v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:50 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 226031 smaller than 226005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 1. Let m be 30 + -13 + -9 + -7. Let o(n) = 5*n**2 + 3*n - 1. Give m*o(y) + 4*i(y).\nAnswer: y**2 + 3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 2*r + 0*r**3 + 0 - 5\/4*r**4 + 0*r**2. Let l(s) be the first derivative of 2*s**3\/3 + 22. Determine p(l(o)).\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3102111 millimeters?\nAnswer: 0.03102111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + (2*sqrt(112))\/sqrt(7))\/(5*(sqrt(32) + sqrt(8))).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1146 or 1145?\nAnswer: 1145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 12*c**2 + 33*c - 9. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2927.439 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83806 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14072749 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 7:27 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -85919540, -85919541, -85919542, -85919543, -85919544?\n\"Answer: -d - 85919539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21045*h**4 + 2*h**3 + 46342*h**2 wrt h.\nAnswer: 505080*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69 - 53. Suppose -85 = -4*c - r - m, r = -5*c + 87. Solve 2*d - c = -12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-20)*(z\/(z\/(z\/(z**(2\/31)*z)*z)))\/z)\/(z**(-11)*z**(2\/171)))**(1\/27) assuming z is positive.\nAnswer: z**(-37511\/143127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.559 + 1.628. Let c = l + -1.23. Let t = -0.052 - c. Round t to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50237057?\nAnswer: 13, 17, 53, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/10 and -29\/1676.\nAnswer: 8380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1223?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.892um?\nAnswer: 0.000004892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) -16\/17 (c) 1\/4 (d) -0.6 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 57*g**3 - g + 5. Suppose 5*j + 83 = 98. Is p(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/14)\/(1\/2). Let t be (-1)\/((-3)\/6*w). Suppose 2*s + t*s - 140 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*k - 533 = -527, -25 = -5*a - 5*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-12)\/(-8)*(-12)\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -450.1 + 434.1. Which is the second biggest value? (a) -3 (b) -2 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 44 = 2*x - f, 5*f = 2*x - 12. Suppose -2*j = 2*j - 560. Let u = -100 + j. Calculate the highest common factor of x and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*o - 32 = 0, 28 = 4*f - 5*o + 2*o. Suppose -8*y + 60 = -36. Solve 4 + y = -f*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (0 - 8) - (-5 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 140910.\nAnswer: 281820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 3*r**2 + 12*r + 13. Let v(q) = -q**3 - 2*q**2 - 12*q - 13. Let s(m) = 4*t(m) + 5*v(m). Determine s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -200 - -451. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 - 12*r**3 + 15*r**2 + r - 5*r.\nAnswer: -12*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081 is divided by 676.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1126537, -2253076, -3379615, -4506154, -5632693?\nAnswer: -6759232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -1 + 2 - i + 1. Let o(t) = 4*t**2 + 4*t - 4. Let m be o(-3). Suppose -8*r + 4*r = -m. Calculate h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521*w - 517*w + 21 = 5*g, 3*w - w = -3*g + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0030641 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333851, -667692, -1001521, -1335338, -1669143?\nAnswer: -2002936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -93?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-34)*3\/6\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (219 + -192 - (0 + -25))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58833979 to the nearest integer?\nAnswer: 7670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w**2 + 1269*w - 5021. What is c(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42 by -852.\nAnswer: 7\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 4. Let y be (3 - 7)*(-10)\/8. Suppose y = -0*x + x. Let w(p) = p**2 - 2*p - 12. Let j be w(x). What is l(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r**(-18)\/r)*r)\/r)\/r)\/r**8*(r*r*r**(7\/5)*r)**17 assuming r is positive.\nAnswer: r**(429\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.324*5527.\nAnswer: -1790.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -75*q**2. Let y(h) = 19*h + 14. Let l(d) = 11*d + 8. Let n(a) = 7*l(a) - 4*y(a). Give w(n(s)).\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*10*(-11)\/(-220).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = 75*u + 54. Solve -m + 5 = 0, 9*a + u = 6*a - m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10+324\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 5*k**2 + 50*k + 179. Determine l(-4).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57 + 283\/5. Suppose -8 = 4*b + 3*t, -129 = b + 2*t - 122. Which is bigger: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*h - 3*h. Let i be (-7)\/3*585\/325. Which is bigger: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j + 21. Let w(t) = 13*t - 182. Let c(v) = -3*v + 40. Let h(i) = 9*c(i) + 2*w(i). Give 6*a(m) + 33*h(m).\nAnswer: 3*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/6 + c**3\/3 - 128*c**2. Let q(w) = -2*w. What is q(h(f))?\nAnswer: -8*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118192, -236378, -354562, -472744, -590924, -709102, -827278?\nAnswer: -945452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2 = 4. What is the tens digit of ((-3 - -2) + 19)\/v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -11. Let j(c) be the second derivative of -c**5\/20 + c**4\/2 - 5*c**3\/6 - 3*c**2\/2 + c. Calculate j(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 + (-3 + 1 + 0)*(4 - 1 - 2) + 2 + 3 - 3 + 1 - 2 - 1)*(0*b**4 + 0*b**4 + 2*b**4)*(-4 - 6 + 4).\nAnswer: 36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 47*b - 534 = 80*b + 5814 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*w + 2*w + 5 - 5 - 2*w + 0*w + w + 0*w + w + w + (w - 3*w + 0*w)*(1 + 1 + 0))*(2 - 4 + 3).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 85 = 0, -20*s - 11*s + 94 = -6*s - 2*u - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*l + 1 - 1 + 2*l + 1 + (0*l + 0*l - 2*l)*(6 - 3 - 4))*(4 + 2 - 1) - 4 - 2*l + 4.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 93, 231, 415, 639, 897?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 9. What are the prime factors of y(-21)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/6*(1\/(-10))\/(52\/32). Which is the second biggest value? (a) -5 (b) -0.115 (c) p (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 z when three letters picked without replacement from zmxxxxxmxxxxxzz?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5939847 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -208835, -208935, -209035, -209135, -209235?\n\"Answer: -100*o - 208735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + d - 9. Suppose 2*u - k - 10 = 0, -8*u = -13*u + 5*k + 15. Let i(g) = 2*g**2 + g - 8. Give u*i(y) - 6*j(y).\nAnswer: 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0.7. Let y = 3.5 + -4. Let g = 2.68 - 2.78. Which is the third biggest value? (a) g (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1843*x**2 + 920*x**2 + 52*x**3 + 920*x**2 to l + f*x + b*x**2 + p*x**3 and give p.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Let t be r*(-189)\/(-105)*1\/2. What is the biggest value in -3, -2\/11, -1\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15314 - -321533\/21. What is the common denominator of 19\/33 and t?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3436261395 to the nearest integer?\nAnswer: 58620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2755 rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -486*z + z**3 - 468*z + 1 - 1 + 950*z. Let i = -3 - 0. What is f(i)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -0.2 (c) -1 (d) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92.7 + 100.7. Which is the nearest to 2\/15? (a) 4 (b) -0.1 (c) u (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 251.\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -134220 (base 7) to base 4\nAnswer: -12032112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -487 + 70*a - 42*a - 27*a in the form o*a + k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*i + 17, 2*y = 2*i - 1 - 1. Suppose -33588 = -y*k + 4*c, -50073 = -2*k + 5*c - 16488. What is k rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 0, -22, -64, -132, -232, -370, -552?\n\"Answer: -o**3 - o**2 + 2*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 3\/2 (b) -3\/2 (c) -2 (d) 78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**4 - 4847*w**3 - 555*w**2 wrt w?\nAnswer: 24*w - 29082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 26*s**2 - 29*s + 56. Let u be z(27). Determine f, given that -4*f**4 + 6*f + 6*f**4 - 6*f**3 - u*f**4 + 3*f**4 - 3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 115\/3*v**3 + 3 - 16*v + 23\/6*v**4 + 0*v**2 - 1\/15*v**6 + 0*v**5. Find the second derivative of u(n) wrt n.\nAnswer: -24*n**2 + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((5*sqrt(135))\/((sqrt(90)\/sqrt(3))\/sqrt(6)) - (1*(-1 + sqrt(243)) + -6*(sqrt(243) + 0))))**2.\nAnswer: -120*sqrt(3) + 10801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.26 - -15.26. Let k = 15.0000009 - t. Round k to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - (12 + 0) - (-74 - 108 - -93).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 67 = 87*a. Let x(k) = -k**3 - 6*k**2 - 5*k + 3. Let z be x(-5). Sort a, -4, z in decreasing order.\nAnswer: z, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 + 7*i + 4. Let c be r(-2). Are c and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 6 - 437*w + 2 - 11 as z + p*w and give p.\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22 + 43*b + 15*b - 15*b**2 + 18*b**2. Let i be l(-19). Solve 5*z = -i*q + 21, q - z - 7 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -9 - 481\/(-39)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1190477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*y**2 - 340550*y + 56635536 with respect to y.\nAnswer: 148*y - 340550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-25))\/(((-2)\/(-45))\/(724\/(-39096)))?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 10 - 4 = 0. Suppose 0 = -4*w + 5*c - 15, 3*w + 3*c = w + 9. Let u = w - -4. Solve 9 = -3*s + r*b, u*s + b = 6*b - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 12*p - 58. Suppose -p*b + 82 = 2*k + b, -2*b = k - 40. What is the greatest common factor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 7:32 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997*g + 750*g + 1049 = 308 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69246534*g - 86940924?\nAnswer: -69246534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -9. Let a = 18 + p. List the prime factors of a + -1 + 0 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77, 75, 73, 71, 69, 67?\n\"Answer: -2*t + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18.2, 4, 0.1, 0?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 141, 3.\nAnswer: -0.3, 3, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 144 and -27.\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4751930.956 + -4528620.9567. Let x = -223300 + s. Let i = -10 + x. Round i to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -3*a + 12, -207*c - 3 = -206*c - 2*a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.772 + -25.76. Let w = f + -0.012. Which is the third biggest value? (a) w (b) -0.04 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/249 in 18, 0.12, 1\/2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 636 + -626. Find the third derivative of c**2 - 3*c**4 - y*c**3 + 278 + 2*c**3 + c**4 - 10*c**3 wrt c.\nAnswer: -48*c - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w. Let y(b) = -244*b. Determine y(i(x)).\nAnswer: 488*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12 (b) 9\/5 (c) 9.38 (d) -3 (e) -1\/3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/k)**(-30)*(k*k\/(k\/(k*k**7)*k))\/k**(-3) assuming k is positive.\nAnswer: k**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020211 (base 3) in base 8?\nAnswer: -6034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 24*v**2 - 3*v + 8. Let l be y(4). Suppose -d + l = 3*g - 6*d, -d + 545 = 4*g. Let c = g + -71. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -1) + (-416700)\/(-29700).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 336 - 335. Let g(y) = -y**2 - y. Let w(m) = -8*m**2 - 4*m + 2. Calculate i*w(b) - 6*g(b).\nAnswer: -2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1052 + -1007. Calculate the highest common factor of 855 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1749*m - 5242*m + 1747*m + 1749*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -10*a + 915. Calculate c(98).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 1. Let t(h) = -13*h**2 + 3859*h + 14*h**2 - 3859*h. Determine 2*t(k) + v(k).\nAnswer: 2*k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8477469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 0.1, 0.5, -0.2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -5. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26160 - 1323. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/378 and 29\/2514.\nAnswer: 158382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 527715?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2121 - -0.05106426?\nAnswer: 0.26316426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18423122?\nAnswer: 2, 19, 271, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2909685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0*(-4)\/8*1)\/2. Suppose o = 8*d - 13*d + 25. Find the common denominator of (d\/(10\/(-4)))\/((-4)\/85) and -89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2002\/5733 - 4\/(-42))\/((-14)\/3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 45 = 45. Suppose -2*c - 4*h = 4, -2*c + 11 = 5*h - 4*h. Solve -2*b - 3*p = -i, -p = -3*p + c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-6)*5\/(75\/(-6)). Let d = 2.8 + -3. What is the closest to 0 in p, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/10 + 6*b**5\/5 + 33*b**4\/4 + 2*b**3 - 66*b**2 + 112*b - 2. Factor y(g).\nAnswer: -3*(g - 11)*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 69, 145, 251, 387, 553?\n\"Answer: 15*q**2 + q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -0*t - 6. Suppose 0 = -2861*s + 2863*s - 18. Find the third derivative of y**2 - 5*y**4 - s*y**t - 2*y**2 wrt y.\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 568*t + 3480.\nAnswer: -2*(t - 290)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-70)\/8 - 9\/(-1) - 611\/(-4) is divided by 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 144*j - 606. Let r be d(4). Put 6, -1, r, -5, 4 in decreasing order.\nAnswer: 6, 4, -1, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101991.2 rounded to the nearest one thousand?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 3, m: 13}. Give prob of sequence mam.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*p**2 + 12*p**3 - 18*p**2 + (2*p - 1 + 1)*(-2*p**2 + 2*p**2 + p**2) - 2*p**3 - p**3 + 2*p**3 + (p - p + 2*p)*(-5*p**2 + 2*p**2 + 5*p**2).\nAnswer: 17*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234 + -233.9. Sort b, 1\/7, -4 in descending order.\nAnswer: 1\/7, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.1? (a) -2 (b) 0.3 (c) 4 (d) 2\/5 (e) -237.183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -468937 or -468939?\nAnswer: -468937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/30*-19*3. Which is the second biggest value? (a) 0 (b) -0.18 (c) 0.3 (d) p (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 51. Suppose 0*o - 5 = -o - x*p, 4*o = p + 37. Solve -3*n = n + 3*a - o, -1 = n + 4*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 37*v + 396. Let u be y(26). Let d = -0.6 - 0.4. Which is the smallest value? (a) d (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540195.6l in millilitres?\nAnswer: 540195600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25021147 a multiple of 607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -294*a**5\/5 + 2968*a**4\/15 - 746*a**3\/3 + 2132*a**2\/15 - 536*a\/15 + 16\/5 = 0?\nAnswer: 2\/9, 2\/7, 6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53250 (base 6) in base 15?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, -3\/7, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 26?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 p when four letters picked without replacement from pcpcpcccccpcpc?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9082 + -9077. Suppose z + 0*z = -4*p - 1, -z = -2*p + 1. Calculate the remainder when r is divided by z\/(1\/(-8)*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5990 = -2*l + 6184, -3*x = 3*l - 138 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428964 and 33.\nAnswer: 4718604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -47*n + 4. Let w(o) = 23*o - 2. Give -6*f(a) - 11*w(a).\nAnswer: 29*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -89, -196, -349, -572, -889, -1324, -1901, -2644?\n\"Answer: -4*q**3 + q**2 - 82*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0. Suppose a + 1 = 0, 2*t - 3*t - 3*a - 1 = r. Let i = -1 + t. Solve 2*f = -2*l - 8, -2*l - i = 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lullkllrukluleuer. What is prob of sequence lere?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1495490 divided by -926.\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p - 120 = 0. Suppose -2*m + 7*m = -2*d + p, -4*m = 3*d - 29. Let f(k) = -10*k - 1. What is the least common multiple of f(-1) and d?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 13*p + 2*p + 0*p - 3*p. Let y(w) = -8*w**2 + 6*w**2 + 6*w**2. What is y(b(d))?\nAnswer: 576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2617 + -332361\/127. Let q = s - -385\/254. Which is the third biggest value? (a) q (b) -2\/11 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7176 - -7177. Put v, 12, -4, -8 in increasing order.\nAnswer: -8, -4, v, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 0*z + 0*z**3 + 7*z**3 - 5*z**3 + 2*z**2 - z**2 - z. Let j(s) = s - 4. Let m be j(5). Determine v(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 3*z - 11. Calculate the remainder when h(-5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 bigger than 2297\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 1. Let o be 2 + 10 + (-9 - -5). Suppose -4*q + 20 = w - o*q, 0 = -2*w + 4*q + 24. What is the smallest common multiple of w and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Let a(j) = -4*j + 5. Let r(f) = -f + 1. Let i(k) = h*r(k) - a(k). Let c(x) = 2*x**2. What is i(c(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 - 15 + 320 - 15*y**2 + 16.\nAnswer: -15*y**2 + 687","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 54, -127, -2 in descending order.\nAnswer: 54, -2, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-433 + 76*d + 433)*(1 - d**3 - 2*d - d**2 + 2*d).\nAnswer: 152*d**4 + 152*d**3 - 152*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 96 = -3*b, -5*b - 6*x + 2*x + 161 = 0. Let q = b + 1. Let y = -24 + q. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v - 206. Let n be q(-38). Let l be 2\/(-4)*(26 + 0). Let i = n - l. Calculate the highest common divisor of i and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + v + 308 = 0, 2*j + 5*v + 3 = 335. Let s = j + -143. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.448363 rounded to 2 dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6180\/31 or 198?\nAnswer: 6180\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 2, s: 6, g: 3, r: 1}. Give prob of picking 1 s and 3 g.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 234\/66)\/(6\/(-88)). Sort y, 3, 4, 5, -5 in descending order.\nAnswer: y, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b)*(2*b**2 + 0 + 0) + 0*b**3 - 2*b**3 + 3*b**3 + b**3 + 2 - 2 + (-4*b + 0*b + 2*b)*(-b**2 - b + b) - b**3 + 6*b**3 - 4*b**3 + b + b**3 - b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhrnlinr. What is prob of sequence hi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 1 + (5 - 2). Suppose f = 5*w + 13. Is -89*w\/((-4)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4411 is divided by 98?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((2 - 5) + -6)*(-2)\/6. Let v(m) = m**2 + 2*m - 1. Let f be v(-2). Let d be (f + 34)*1\/c. Solve -2 = 4*x + h - d, 0 = x - 2*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**15)**(-1\/55)\/(u*u**(-10\/7)*u*u)**(-1\/61) assuming u is positive.\nAnswer: u**(-1160\/4697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -5) + (2 - (36 - (-9 + 19))) + -35?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/19 != 9268\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 281419511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t - 148*t - 6049 = 1139 + 4260 for t.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 65 = 13. Suppose h*a - n = 18*a - 1148, a = -4*n + 241. What are the prime factors of a?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.9143231 rounded to two dps?\nAnswer: 52.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1983606 to the power of 1\/2, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -177, -1351, -4529, -10713, -20905?\n\"Answer: -167*f**3 - 5*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -684*i**4 - i**2 + i + 686*i**4 + 9 - 3 + 2*i**3 to the form t*i**4 + m*i**2 + w*i + n*i**3 + o and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2951 - 2789. Calculate the highest common factor of 48 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 60 = 2*g. Suppose 0 = -y - 8*y + 162. Calculate the least common multiple of 1*(38 - y - 2*2) and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 47. Sort 5, -1\/3, s.\nAnswer: s, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2 = 2*z, 3*z - 3*g = 2*z + 5. Let s = 9 + -6. Solve z*v = -2*t - 14, 2*t - v + 5 - s = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -416, -375, -296, -167, 24?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -42, 1, -19, -1, 0 in decreasing order.\nAnswer: 14, 1, 0, -1, -19, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1437 - -1907. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0192773 or 32?\nAnswer: -0.0192773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3 - 8 = -2*d, -2*j + 4 = -2*d. Suppose 2*x - j = -2*l + 1, 5*l - 9 = -3*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a + 73*a = -4. Find the common denominator of a\/11 + 272\/198 and 8\/(-3)*(-9)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/375 and 26\/137375.\nAnswer: 412125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117871 - 63?\nAnswer: 117808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 27, -2, -53, -132, -245, -398?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**5 + 2*l**5 - 2*l**5 + (l**3 - 3*l**2 + 3*l**2)*(-l**2 - 4 + 4) + 97*l**5 + 280*l**3 - 280*l**3.\nAnswer: 99*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - v = -7, 440*v = 436*v - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.146 or -240991?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by 227?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31581792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44701, -89396, -134089, -178780, -223469, -268156?\nAnswer: -312841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -387813920 divided by -5\nAnswer: 77562784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 926*i - 188472. Determine s(-302).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -13 - (74 + -87) - -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 505*h**2 - 151*h**2 + 452*h**2 to y*h + x*h**2 + s and give x.\nAnswer: 806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 5:30 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*k - 21 - 1465*k**2 + 19 - 1429*k**2.\nAnswer: -2894*k**2 + 45*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 904813?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 15 = -5*a - 4*r, -a + 5*r = -26. Let m = 1\/376 - 583\/7144. Let b = 243\/190 + m. Do b and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 + 536 - 111 + 1020*a - 1023*a.\nAnswer: -3*a + 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 203435000 divided by -2900\nAnswer: -70150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18ed + f?\nAnswer: 18fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sfsk when four letters picked without replacement from fkkkukskkfksk?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 6?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -0.4, -3398, 10\/19, 1\/9 in increasing order.\nAnswer: -3398, -0.4, 1\/9, 10\/19, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27143028 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 7*t - 3. Let y = 15 + -10. Suppose 3*s + 49 = -y*u, 17 = -3*u - 4*s - 19. Let z be i(u). Solve -5*j = -0*j + z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46131.8ng in milligrams?\nAnswer: 0.0461318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 22*y**2 - 8*y + 22. Let l be u(-20). Suppose -4*j = -s - 3*s - 1304, 0 = 3*j - 5*s - l. What is the greatest common factor of j and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 = 21. Let g = r + 10. Suppose 0 = 5*a, -4*i = -g*i + 4*a - 22. Calculate the lowest common multiple of i and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -1)*25\/10. Solve i*r = -2 + 22 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27267 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1216) + -1*sqrt(1216) + -3 - sqrt(1216)) + sqrt(1216))*-5 + 1*(0 + sqrt(1216))*-3)*-3 + -5 + 5)**2.\nAnswer: -6480*sqrt(19) + 100521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 + -39.9. Let v = 38.2 + n. Suppose 3*z = 7*z. Which is the closest to z? (a) -0.4 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/20 - t**4\/6 + t**3\/2 - t**2\/2 + t. Suppose 0*j - 5*v = j + 3, 4*j = -4*v - 12. Let x be r(j). Are x and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.959 - -12.95930975. Round h to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2736)\/14364*15\/2?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 339\/5. Let i = 4919 + -4918. Sort -0.1, b, i.\nAnswer: -0.1, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -1053, -3512, -8309, -16230, -28061, -44588?\nAnswer: -66597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/5, 3\/5, -7, 5, 4967?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12472166*m*q**2 + 31*m*q - 3*m - 60*q - 16 wrt q.\nAnswer: 24944332*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-56)\/(-21)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371 - -524. Suppose 0 = -2*v + 262 + 238. Let l = v - q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**8\/w))**(7\/9)\/(w**(-22)\/w**(6\/19)) assuming w is positive.\nAnswer: w**(3151\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 6) to base 2\nAnswer: -10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318 - 1020 = 15*g - 0*g + 3*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -6. Let q = -5126 + 5096. Sort 5, y, q in ascending order.\nAnswer: q, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-70)\/7*(-1)\/(-2). Let c be 6\/10*(j - 0). Let l be (-26)\/30 + c\/9. Is l equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12, -16, -20?\n\"Answer: -4*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - 4*x**5 + 4*x**3 - 3*x**5 + x**5 - 2*x**5 + (-x**4 + 2*x - 2*x)*(2*x - 2 + 2).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68456, -133402, -198348, -263294, -328240, -393186?\nAnswer: -458132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2) + 30\/(-20). Let m be 70*r*(5 + -4). What is m rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1276469\/830640 + 8\/10383. Find the common denominator of 19\/55 and f.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from zrrrzjzrzzzzzzzyryz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 327192 rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 44*x + 6. Let d be t(9). Let v(u) = 6*u - 2. Calculate v(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2183*y**2 - 3*y**3 - 8591*y + 8591*y + 46*y**5 wrt y.\nAnswer: 2760*y**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 - 54*k**2 - 31*k + 14. Let x(j) = j + 7. Let d be x(-8). Let a(p) = p**3 + p. Let b(w) = d*r(w) + 2*a(w). Determine y, given that b(y) = 0.\nAnswer: -7, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -849, -823, -797, -771?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1588844 = 9*b - 8158844. Round b to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 48*u + 43*u = 3, -3*t - 36 = -3*u for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 540*x**2 - 251*x - 5. Let b(a) = -539*a**2 + 215*a + 4. Calculate 7*b(u) + 6*z(u).\nAnswer: -533*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**4\/3 + 1528*q**3\/3 + 150436*q**2\/3 + 287264*q + 424128 = 0?\nAnswer: -188, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*-8 - 7. Let c = -6 - d. Let u = 39 + c. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:22 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001099412 to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - 10 - (39 - (1 + -8))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 321, 459, 589, 711?\nAnswer: 825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.359544154 - 5.3595. Round g to seven dps.\nAnswer: 0.0000442","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 215675 + -31?\nAnswer: 215644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 198652.\nAnswer: 1589216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 100 + -79. What is the remainder when 174 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-8))\/(223\/(-1784)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -27. Let b = 83 - 78. What is the third derivative of -47*d**6 + 2628*d**5 + i*d**2 - 2628*d**b wrt d?\nAnswer: -5640*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20202 (base 3) to base 6\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30222331 (base 4) to base 6.\nAnswer: -1040141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(152) + -3*sqrt(152) - sqrt(152)))\/sqrt(8).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*n - 4*n + 4, 4*n - 20 = 0. Suppose a*h - 5*t = 40, -2*t = 1 - 3. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3*-5*(-1 + sqrt(192)).\nAnswer: -120*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 - 2*a**2 - a - 1. Give h(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11610 - 7193. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -53*w**2 - 2051*w + 26801. What is s(-49)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a**2*i**3 - 2*a**2*i - 405575*a**2 + 282491*a*i**3 + a*i - 2*a + 9*i**3 - 1 wrt a.\nAnswer: 6*i**3 - 4*i - 811150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/61 < -2.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 24*x + 1681. Give p(-70).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tipg when four letters picked without replacement from {p: 5, i: 4, j: 2, g: 1, t: 2}.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5178, 5183, 5192, 5205, 5222, 5243?\n\"Answer: 2*v**2 - v + 5177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let v(h) = 2*h**2 + h - 4*h - h. Suppose 2*j + j = 3. Calculate j*v(p) + 6*w(p).\nAnswer: 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -159*u**2 - 94*u + 44*u + 6 + 50*u - 5 to the form q + d*u**2 + g*u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-26))\/(((-14960)\/(-143))\/(-40))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2 - u - 2. Calculate q(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135416 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, b: 10}. What is prob of picking 2 s?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3*a - 24 = 0, -77*a = -4*p - 75*a - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 5, -4 in decreasing order.\nAnswer: 5, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -5 + 4*b - 1\/45*b**3 + 2\/15*b**2 + 1\/150*b**5 - 1\/45*b**4. Let h(a) be the first derivative of s(a). What is d in h(d) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -289952?\nAnswer: 15\/144976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4642 is divided by 143.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 4.8. Let u = 0.17 + 2.85. Let y = u - 0.02. Which is the biggest value? (a) w (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, y: 5, u: 2, l: 5, o: 2, b: 1}. Give prob of picking 2 k and 1 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 134 + 44 = 0. Suppose 5*s + 2 = -l. Let u(f) = 6*f + 46. Let y be u(-7). Put s, -3, y in decreasing order.\nAnswer: y, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 18*b - 30. Let k be x(15). Calculate the highest common divisor of k and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 20 - (-5685 + 5704)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -122 (b) 1.37 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.923992l in millilitres?\nAnswer: 8923.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**5 - 536278*o**3*z**2 + 396*o*z**2 - 302*o*z wrt o.\nAnswer: 20*o**3 - 3217668*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14537458 is divided by 181718?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22414 (base 10) to base 14\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2 + 7*x - 10*x**2 + 27*x**2 - 5*x. What are the prime factors of o(2)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*s - 19*s**2 + 13*s - 32*s.\nAnswer: -19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/392 or 0?\nAnswer: -1\/392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = c. Let f(z) = -8*z + 2. Let q(v) = -52*v + 12. Let j(w) = -32*f(w) + 5*q(w). What is the smallest common multiple of 36 and j(c)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + (40 - 38 - 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/(-6))\/(-1) - (10 - 1). Which is smaller: u or -322?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 9*l**2 - 30*l - 83. Let m be s(-11). Which is the closest to 2\/21? (a) m (b) 2\/3 (c) -15 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3\/3 - u**2\/2 + 7*u + 1. Suppose -2*g - 12*w + 10*w - 10 = 0, -2*g = -2*w + 10. What is i(g)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*g**2 + 11117*g + 495234 wrt g?\nAnswer: 24*g + 11117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, -4\/9, 4 in decreasing order.\nAnswer: 4, 2, -0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4711\/6 - 791. What is the common denominator of y and -47\/17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530434 is divided by 176807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10486*v**3 + v**2 - v**2 - 10880*v**3 + 10*v - 10 - v**2 wrt v?\nAnswer: -2364*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - d - 3*d - 159 + 39 + 8*d.\nAnswer: 4*(d - 5)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -4 - 1)\/(1 - -1). Which is the closest to 0? (a) -4\/5 (b) 2\/3 (c) -0.5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 2*s - 1. Let m(b) = -4*b**3 + b**2 + 5*b - 2. Suppose 0 = -2*g + g. Suppose g = -p - 3 + 1. Calculate p*m(a) + 5*q(a).\nAnswer: -2*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3*b**4\/2 + 3*b**2\/2 - 3*b + 16. What is the hundreds digit of y(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194b78 (base 12) to base 11.\nAnswer: 283687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14\/89, 3\/23, 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143193 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2181*p - 2396*p + 7341*p + (2*p + 2 - 2)*(0 + 0 - 2) + 0*p + p - 3*p as i*p + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 10*r**2 - r + 8. Let g = 17 - 7. Let d be y(g). Suppose a + 9 = 3*l, -2*a - 12 = 2*a. Put l, d, -3 in ascending order.\nAnswer: -3, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 10*u + 14. Let f be v(11). Find the first derivative of -3*s**3 + 4*s**3 - 5*s**f + 4 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*l - 60 = 254*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122303342 (base 6) to base 8.\nAnswer: -10773256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -775*p + 4648. Give a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*d = 67 - 7, -4*j - 5*d + 75 = 0. Suppose 0 = -5*h - 0*h - 5*m - j, -3*m = 2*h + 9. Solve i = -h*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5434 = -1564. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*h + 566 - 2074 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 801 and (-10)\/(-4)*(-5016)\/(-1045)?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 q when four letters picked without replacement from vqqvk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 5. Suppose 2*g + 2*g - 56 = j. What is the lowest common multiple of 8 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 14*y - 14. Find the common denominator of -52\/7 and (-1 + -3 + 15)*y\/8.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 t when four letters picked without replacement from fwtctqwq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 15066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**4 - 112*t**3 - 392*t**2 + 16464*t + 86436.\nAnswer: 4*(t - 21)**2*(t + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 5*r + 4. Let x be p(5). Suppose 5*a - 15 = -0*a. Let g = x - a. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -654032 divided by 1\nAnswer: -654032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*w - 1005 = 71*w. Let 538*c**5 + 20*c + 21*c**2 - 17*c**3 + 202*c**3 + w*c**5 + 93*c**2 + 66*c**2 - 990*c**4 = 0. Calculate c.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 0 - j**2 + 1\/3*j**3 + 1\/21*j**7 - 2*j - 1\/15*j**6 - 1\/5*j**5 + 1\/3*j**4. What is h in w(h) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 3, z: 1, d: 2}. Give prob of sequence rdn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 18*k + 1\/2*k**2 + 2. Is i(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70720, 1, -6 in ascending order.\nAnswer: -6, 1, 70720","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide 5719880 by 285994.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 7*m**2 - 14*m - 6. Let w be q(-3). Solve 2*c - 15*c - 52 = w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 times -16742\nAnswer: 63619.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + 66 = 2*f + f, -2*p + 2*p = -4*p + 4*f + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(96\/4))\/(-2)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 34*o - 167. Let u be l(5). Suppose m = 2*t - 80, -t - u*m = -7*m - 47. What is the remainder when t is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 31*n + 300. Determine m(-16).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/95 or -1?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d + 26. Calculate t(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496251888 to the power of 1\/4, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -97394\/7? (a) 5 (b) -3 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(700))**2 - ((-2 + sqrt(7) + sqrt(7))**2 + 2).\nAnswer: 8*sqrt(7) + 670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9398382*f**4 - 17249101*f wrt f.\nAnswer: -112780584*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - -1. Let t(l) = l**3 + 9*l**2 + 136*l + 1056. What is the remainder when t(-8) is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*q + 4, -2*u - 3*u - 4 = -q. Let b be u\/2 - 39\/(-6). Let i = -276 + 294. What is the highest common factor of b and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/(28\/(-8))*224\/(-288)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1928.23 - -1830. Let u = t - -7.33. Round u to the nearest integer.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = t + 2*a, -65*t - a = -70*t + 51. Solve 4*w = t*w + 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22533 at most -19\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 8252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-68)\/(-8)*2)\/((-2)\/(-6)) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (444640\/(-6))\/((-8)\/120 - 0). Round x to the nearest 10000.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*m + 4*m = 6283, -5*b + 4*m = -6259. Is b a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -928 + 3623. Is o a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27091953 is divided by 267?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2778322 and -46.4503.\nAnswer: 2778275.5497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 2, -1, -280, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 3 + 3*b**2 - 39 + 8.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*s - 1906 + 454 = 1578 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 163\/(-5) - 21\/(-35). What is the remainder when 22 is divided by 16\/48 - d\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3936228 and 27840.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 d, and 1 o when four letters picked without replacement from {w: 5, h: 6, t: 1, o: 1, d: 1, b: 3}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - -7. Let z = 692\/119 + -94\/17. Which is the fourth smallest value? (a) -2 (b) 5 (c) x (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19974 rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482088 is divided by 104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzcccmcmmmccmmmzcm. What is prob of sequence mzm?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113737237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((-28)\/(-35) + 5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70881 is divided by 70872.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2850797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 12*f - 17. Let u be m(9). What is the third derivative of -4*r**2 + 13*r**3 - 13*r**3 + 6*r**6 + u*r**6 wrt r?\nAnswer: 1920*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 20*p**5 - 4695*p**4 + 234485*p**3 - 398385*p**2 + 111995*p + 56580 = 0.\nAnswer: -1\/4, 1, 69, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -13*j + 750. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2199982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (107 - 36) + 1 + -7 + -1 + -4?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 + 2*v. Let j be m(-2). Suppose -s = -x + 2*x - 4, 0 = 4*x - 4. Let i(w) = 0 - 1 + w**s + w**2 + j. Give i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 26 - -12 - (-53 - -4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 4:40 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21 + -23)*(-2 + 1 + -1). Solve -11*d + t = -12*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 7, 2\/7, 2\/5, -288, 1\/7, -0.07?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from {o: 1, a: 1, k: 1, t: 3, n: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 107706353?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 0 + 14*k**2 - 1\/6*k**4 + 0*k + 1\/6*k**3. Give r(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q + 11*q - 10*q)*(((-2 + 1 + 0)*(5 - 4 + 1) + 2 - 1 - 2)*(-6 + 6 + q) + 0 + 0 + 2*q)*(-5*q**3 + 4*q**3 - q**3).\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522678 is divided by 23449?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**22\/(y\/y**(-1\/3)*(y*(y*y**11*y)\/y)\/y*y) assuming y is positive.\nAnswer: y**(221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 + 11*g**2 + 12*g**2 - 34*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1596 - 6432 - 11820 + 110 + 2931)*(-2*d - d + 4*d) - 5*d + 4*d - d.\nAnswer: -16809*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1105, 4426, 9961, 17710, 27673, 39850?\nAnswer: 54241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 694 + -0.5.\nAnswer: 693.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010011100001 + -110?\nAnswer: 10010010011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1132)\/1415*(-765)\/17?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*j = -4, 0 = 4*k + 8*j - 3*j - 18. Let l = -0.09 + 4.09. Let f = 2 - l. What is the nearest to 1 in k, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, 0.4, -203, -0.01, 23?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -75. Suppose -d*g - o + 379 = -0*g, 2*g + 5*o - 203 = 0. Suppose -j + g + 98 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 10) to base 4\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 414 + -14. Suppose -6*p - m = -p - 407, 0 = m + 3. Calculate the remainder when n is divided by p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 113206*s*z**2 - 2*s*z - 4*s - 3*z - 25 wrt z?\nAnswer: 226412*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 2609?\nAnswer: 2607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*a, 0 = -4*f - 49*a + 53*a + 36 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + 4*sqrt(114)*1 + sqrt(114))*-6)\/(-4*(sqrt(66)*2 + sqrt(66))\/sqrt(11)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -0.01416, -3, -5, -13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -6573.9.\nAnswer: -6573.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**6\/20 - 3*q**5\/8 - 9*q**4\/8 - 7*q**3\/4 - 3*q**2\/2 - 6*q. Determine r so that l(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(891)*-2 + 4 + sqrt(891) + (sqrt(891)*1 - sqrt(891)) + -2 + -4*(sqrt(891) + 5 + 0 + sqrt(891)))**2.\nAnswer: 2916*sqrt(11) + 72495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-8) - 93\/12. Let y = r - -7. Solve 2*x - 4*f + 19 + 3 = 0, 5*f - 15 = y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1*-2*sqrt(77) + -1*-1*sqrt(77))*5)\/((sqrt(66) + (sqrt(66) + -2*sqrt(66) + sqrt(66) + sqrt(66))*5)\/sqrt(96)).\nAnswer: -4 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 - 313119*c - 3756996.\nAnswer: -3*(c + 12)*(c + 104361)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 7*u + 2. Let m(h) = -11*h**2 + 15*h - 4. Let b be 16 + 5 + -6 + -21. Give b*m(c) - 13*n(c).\nAnswer: c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*x**3 + 38*x**3 - 11*x**3 - 40*x**3 - 5*x**3.\nAnswer: -48*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*s - 15, 17*i - 13*i + 9 = -3*s. Solve -5*a + 16 = 2*z, 4*z = -i*a - 4*a + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1 - (3 - 8). Suppose 0 = 2*t - a*t - 1000000. Round t to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 10) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, d: 2, e: 3, a: 3, w: 4, z: 2}. What is prob of picking 2 a and 1 z?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3323 and 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 + 0.1. Let m = 1.981 - -0.019. What is the closest to f in 3, m, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140842221 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 1046317?\nAnswer: 1046318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1248)\/168*(-210)\/150*(-5)\/2.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7891\/6 - 1318. What is the common denominator of q and -4\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 + -111. Let v(g) = 2 - 87*g**2 - 87*g**2 + 5*g + 178*g**r. Determine v(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -y - y - 4*v, 4*v = -3*y - 3. Let r(x) = -6 + 6*x - 5*x**2 + 3*x**2 - 3*x**2 - x**y. List the prime factors of r(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 637 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167439, 334970, 502609, 670356?\nAnswer: 838211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179709 is divided by 98?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0 - 1. Solve 1 = 2*k - u, 5*i - 3*k = -28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63c37 (base 13) to base 4.\nAnswer: -223330333","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -322, -323, -324, -325, -326?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/21110 and 127\/3715360?\nAnswer: 3715360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u**2 - 638*u - 433. Let s(d) = -37*d**2 + 1913*d + 1298. Let j(o) = 8*r(o) + 3*s(o). Factor j(v).\nAnswer: -5*(v - 43)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (-14 + 38 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/15 + (-2)\/5. Calculate the common denominator of (1\/(-8))\/(w\/46) and 61\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 280, 290, 302, 316, 332, 350?\n\"Answer: d**2 + 7*d + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4295.2032 - 4295. What is n rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 7 + 2. Let s be (14\/(-3))\/(14\/(-21)). Let j(x) = s + x + 0*x + x. Give j(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1968, 4012, 6030, 8016, 9964?\n\"Answer: -o**3 - 7*o**2 + 2072*o - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 9:12 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 c when three letters picked without replacement from rdddblcdracdddddblbl?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -756*v**5 - 79*v**2 - 58*v**2 + 338 + 10*v**5 + 139*v**2 wrt v?\nAnswer: -44760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44149)\/(-14756) + -18 - (-13 - 2)\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 + c**2 - c**3 - c - 3*c**2 - 3. Let r be m(-7). Suppose 5*b + 2*g = 33, 3*b - r*g + 10 = 35. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h**(-2)\/h*h)*h**4*(h**(1\/3)*h)**(9\/4)*((h*h\/(h*(h*h**(-3\/7))\/h)*h)\/(h\/(h**(-4)*h)))**(-1\/4) assuming h is positive.\nAnswer: h**(319\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1243, -2488, -3737, -4984, -6223?\nAnswer: -7448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**3 + 3*p**2 - 3*p**2 - 23*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, 5, 1\/5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -94 + 27 - (33 + -68)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 18151.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 2 = -110. Suppose -c*j + j + 21697 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-30669.\nAnswer: 398697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2 - (8 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 21. Let m = v - -16. Calculate the lowest common multiple of m and ((-90)\/24)\/(12\/(-32)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -156 * 2\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2364*p**3 - 210740*p + 990*p**3 + 210740*p.\nAnswer: -1374*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 4*p**2 + 4*p + 12. What is the remainder when k(-3) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 22 = -2*z, 4*q = z - 2. Let b be z\/(-4) - 174\/(-12). Suppose 42 - 18 = b*n. Solve -n*k + 3 - 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -413 - 2?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 1617*l + 294*l + 40*l.\nAnswer: 1944*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 10. Let m = 404 + -409. Calculate l(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 13*w + 6. Let o be z(-4). Let f = o - -187\/4. Let -3\/2*s**3 + f*s**5 + 3\/4*s + 3\/4*s**4 + 3\/4 - 3\/2*s**2 = 0. Calculate s.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 99340 and 99357 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -54. Suppose a = -4*g + 26. Suppose g*r = 84 + 80. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h + 27 = 3*s, -4*s + 37 = -3*h. Solve 4*u + 23 = -3*x, s = 4*x + 4*u + 31 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 273 and 5928.\nAnswer: 41496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(3 - (60\/8 - 3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*t - 51, 9*z = 13*z. Solve t*b + 14 = 24*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxll when four letters picked without replacement from {d: 2, l: 5, x: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -265*x**2 - 7*x + 258*x**2 - 2 + x**3 - 4. Let o be r(8). Which is the closest to -2\/3? (a) 3 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7683 - -8735. Is o at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 294 = -2*g, 3*g - 396 = s + 39. Suppose -g = -5*u + 396. Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 15*p**4\/4 - 8*p. Let l(s) = -2*s**2. Calculate u(l(z)).\nAnswer: 180*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 33. Suppose 5*z + r*v + 3*v = -888, -2*v + 175 = -z. Let w be 2\/(z\/60 + 3). What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-215)\/(-15))\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.26854*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 6*u - 19 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 14 = 5*i - 1, -2*i - 10 = 0. Let b = t - -9. Calculate the remainder when 33 is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvh when four letters picked without replacement from vhvvvvvvyhhhh?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 322*j**3*k**4 - 13*j**3 - 3*j**2*k**2 - 9*j*k**2 - 2*k**4 wrt k?\nAnswer: 7728*j**3*k - 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, 84 in descending order.\nAnswer: 84, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16575 - 33156 - 9*p - p + 16588.\nAnswer: -10*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (34\/8)\/(3\/12). Let k = 0 + l. Suppose y = -y + 3*q + 7, 3*y + 2*q = k. Solve -5*d - y = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1779901?\nAnswer: 19, 23, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9473947 kilometers to meters.\nAnswer: 947.3947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let l(j) = -10*j + 16. Let y(g) = -50*g + 76. Let i(o) = 19*l(o) - 4*y(o). What is -4*f(c) + i(c)?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1084 - 205 = -5*t + i, t - 5*i = 253. Calculate the smallest common multiple of 9 and t.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*a + 38*a - 5*h - 12, -5*a - 20 = -4*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 7*g - 3. Suppose 3*j + g*f - 772 = 0, 5*j + 2*f = -2*f + 1290. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 14*f + 62 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/3 + 44*g\/3 - 170\/3 = 0.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 1\/5, 2, 1.8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18799803.\nAnswer: 3, 11, 63299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**3 + 15*i**2 + 36*i + 116. Determine z(-3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 1. Let j(b) = 11*b - 5. Let r(k) = -2*d(k) + j(k). Let v be r(-8). Let x = 32 - v. Let y(p) = 4*p**3 - 1. Give y(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 5*v. Let y(q) = 555*q**2 - 5*q + 665. Let i(k) = -y(k) + z(k). What is the derivative of i(a) wrt a?\nAnswer: -1108*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 39 + l**2 + 2*l**2 - 16 + 49*l - 4*l = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 64.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. What is the units digit of 5*(12 - (-6)\/z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(390))\/sqrt(10))\/(sqrt(30)\/sqrt(160)) + -5*(-4 + (sqrt(117)*3)**2).\nAnswer: -5245 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgx when three letters picked without replacement from {x: 2, o: 1, g: 1, q: 5, p: 6}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c**3 - 61*c**2 + 22*c. Let k(b) = b**3 + 2*b. Determine 22*k(h) - 2*u(h).\nAnswer: 6*h**3 + 122*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srssssss. What is prob of picking 2 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109411 is divided by 1720.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1460776558 to the nearest integer?\nAnswer: 38220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-80)\/(-26) + (-55)\/715. Let u(v) be the second derivative of -1\/3*v**q + 14*v + 5\/2*v**2 + 0. Differentiate u(i) wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 1, w: 5, a: 1, r: 1}. Give prob of sequence ap.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 7*u - 13 - u**2 + u + 10. Give b(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 5282 = -5277, 14*k + 9 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(1*(-6*-2*sqrt(343) + sqrt(343) + -1 + sqrt(343) + 5) + -2))**2 + 5.\nAnswer: 6272*sqrt(7) + 1075721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 0*b**3 - b**3)*(33*b - 28 - 31*b + 3) + 0*b**3 + 0*b**3 + b**4.\nAnswer: -3*b**4 + 50*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = -5*z - 14, 0 = r - 4*z + 9. Sort -3, -2, -14, r in descending order.\nAnswer: -2, -3, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-18))\/(51\/(-85)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5642, -5765, -5886, -6011, -6146?\n\"Answer: -p**3 + 7*p**2 - 137*p - 5511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**4 - 58*y**2 - 2*y - 141.\nAnswer: 24*y**2 - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:34 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 2, f: 6, b: 3}. Give prob of picking 1 f and 2 b.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 2. Let r be y(3). Let x be ((-5)\/15)\/1 - 2\/(-6). Let p = r - x. Is 1 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4725 a factor of 398518274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q + d - 25, -56 = -4*q - 4*d. Let u(z) = z**2 + 4*z + 2. Let f be u(-5). Find the second derivative of f*h + 13*h**2 + 3*h - q*h**2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15176*f + 9849?\nAnswer: 15176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*g**4*u + 3*b**2 + 149*b*g**4*u + 514*b*g**2*u wrt g?\nAnswer: -48*b**2*g*u + 3576*b*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94080 and 37632?\nAnswer: 188160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 4 + 31 - (4 - (3 + -3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 29173 (b) -1\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2614269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 25*z + 335. Calculate n(-14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 + 4 + (0 - -56).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 1031*d**5\/5 - 103*d**3\/3 - 822. What is the third derivative of h(y) wrt y?\nAnswer: 24744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1785389400?\nAnswer: 2, 3, 5, 991883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 22. Suppose -4*g + x = j, -4*g + 2*j + 4 + 4 = 0. Suppose 6*y = 4*k + y - 27, -g*k - 4*y + 59 = 0. Is k smaller than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1199977 to the power of 1\/2, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3638366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + (-1 + sqrt(180))**2 + (((sqrt(180) - -1*sqrt(180))*1)**2 - sqrt(180)))*1.\nAnswer: -18*sqrt(5) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 1, f: 1, g: 1, h: 1, o: 5}. Give prob of picking 1 g and 2 o.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 318*h**2 + 14 + 15*h**3 - 35*h - 661*h**2 + 323*h**2 - 16*h**3. Give y(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 681, 1373, 2063, 2751?\n\"Answer: -r**2 + 695*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 5 = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(-11))**(-3\/14)\/(v**(1\/6)\/(v*v*v*v*((((v**(2\/3)\/v)\/v)\/v)\/v)\/v)*(v\/(v\/v**(-4)))\/v**3) assuming v is positive.\nAnswer: v**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in centimeters?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = -0. Let c = -187 + 188. What is the biggest value in o, c, -5\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Let q be i(-2). Let t be 2\/4*(6 - q). Calculate the highest common divisor of 40 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(52)\/sqrt(4)*-2 + sqrt(208)*1)*-6.\nAnswer: -12*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 + 45462*w**4 + 90693*w**3 - 3318942*w**2 - 9909840*w - 6545664 = 0 for w.\nAnswer: -15152, -8, -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 1, a: 2}. Give prob of sequence xa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 174147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*w = -5*l - 148, 3*l + 2*w = -512. Let m = -20 - l. Suppose 5*k - m + 18 = -2*j, -k - 5*j + 26 = 0. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -5 (b) 0.2 (c) -3\/4 (d) 2\/35 (e) 0.1 (f) 270\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30993873 and -4?\nAnswer: -123975492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3346 - -73609\/22. What is the third biggest value in 4, c, 9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 896142*i\/5 + 18819864\/5.\nAnswer: -2*(i - 21)*(i + 448092)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 9 = w. What is the remainder when w is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/19)\/(4\/6). Let o = 8453\/3720 - 55\/24. Let k = 289\/1085 - o. Is w != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 27\/25449703?\nAnswer: 27\/25449703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19205 divided by -5\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3*-3*-1. Let d be ((-84)\/(-6))\/((-2)\/n). Suppose 0 = d*b - 5*b - 100. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/17 - 8778\/15708. Let o be (-9)\/4 + 1 + 1. Which is the closest to w? (a) o (b) -13 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let l = 1 - i. Let k(m) = m**2 - 5*m + 3. Let u be k(5). Solve g + l*g - u = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245.3514 + 246.351403. Let s = -1.1 - -0.1. Let b = c + s. Round b to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -21 + 0\/(0 + 3)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/46?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 335531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/80 and 25\/304?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d + 657. Let h be t(0). Suppose -h = 5*p - 2057. Suppose -3*z + 161 = -4*s - 0*s, 0 = 5*z + 5*s - p. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 10:25 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 861 = -2153 + 784 + 760 for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -16, -22, -26, -28, -28, -26?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/4 + w**4\/4 + 76*w**3\/3 + 122*w**2 - 5*w - 57. What is the derivative of f(j) wrt j?\nAnswer: -15*j**2 + 6*j + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5431, -2722, -13, 2696, 5405?\nAnswer: 8114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 12. Let c be o(0). Let l = 13 + c. Let f be (l\/1)\/3*-3. Sort 2, f, 3 in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*o - 209*o + 103*o = -16*s + 28, -3*s - 14 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4498399831 to the nearest integer?\nAnswer: 67070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 2*k - 5*k - 3*k - 8*k**2.\nAnswer: -8*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 258 and 7122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + s + 44, -4*h + 64 = 3*s + s. Suppose 0*i - 3*i = 5*r - 26, -5*r + 5*i = -50. Calculate the remainder when h is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 85*m**2 - 445*m + 30196. Determine k(84).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 446*s**2 - 5775*s - 9. Let y be u(13). Solve -y = 18*i - 146 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**3 - 1264*y**2 - 46342*y - 232116 = 0.\nAnswer: -29, -6, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 2*q - 0*q. Let k = 7.8475 + -0.0275. Let i = -7.72 + k. Is q smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 7*j - 28. What is the remainder when 62 is divided by h(12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1600 divide 44811200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k**3 + 4*k**2 + 7*k + 1. Let j(t) = -t**3 - t**2 - t - 1. Let w(l) = -h(l) - 5*j(l). Let v be w(3). Let y = -534 - -434. Which is smaller: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010110011 (base 2) in base 5?\nAnswer: -10231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 814569, 5 in decreasing order.\nAnswer: 814569, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.521 rounded to two decimal places?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038413 times 0.3?\nAnswer: 0.0115239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2710.9 = 78\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7953 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -0*t. Let j be 6\/(-14)*(2 - t). Suppose 121*p = 213*p - 116*p - 48. Which is the fourth smallest value? (a) -22 (b) j (c) -0.5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - o + 10, 118*o = 120*o - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 7. Let o = n - 7. What is the nearest to 1 in 1\/9, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*v - 3, -20*h + 18*h - 11 = -5*v. Let r(b) = b**3 - 10*b**2 + 10*b - 7. Let d be r(9). Solve d*z - 5*k - v = -4*k, 0 = -4*k + 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b0 + 12?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*s**3*t**2 + 658685*s**3*t + 3942*s**2*t**2 + 3*s*t**2 - s*t + 3*t + 1 wrt t.\nAnswer: 44*s**3 + 7884*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10704 = -461*j + 467*j. What is j rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddrppdrdxxrdrrrde. What is prob of picking 2 d?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 5 + 0)*(-f**2 + f**2 + f**2)*(0 - 26 - 25)*(2 + 3 - 4).\nAnswer: -561*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 22 - 2 = 2*u, 3*u - 45 = 9*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2048 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-518270)\/(-90) - (-44)\/99. Calculate the greatest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87597 + -11.\nAnswer: 87586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/84924 and -109\/70770.\nAnswer: 424620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**3 - 3*v**2 - 12*v - 15. Let n(p) = -3*p**3 + 2*p**2 + 6*p + 7. Let d(y) = -9*n(y) - 4*w(y). Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1516274*1*(78\/(-180) - (-3)\/(-45)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m - 6 = 0. Suppose 4 = -4*g - 0, -m*k + g = -27. Solve -j + 3*s - k = 0, 2*s = -4*j + 3*s - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 25\/4 - 5. Which is the smallest value? (a) x (b) 3 (c) 2\/15 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 7*s**2 - 7*s + 9. Let y = -18 - -29. Let m = y + -18. Does 34 divide u(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 3 (b) 0 (c) 3\/2 (d) -0.3 (e) 27.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Is ((-2)\/j)\/((-3)\/93) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102200221 (base 4) to base 8.\nAnswer: -1224051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/16)\/((-1)\/6). Let l(w) = 3 - 1 + a*w - 2. Let z(m) = -2*m**2. Give z(l(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12 and -111\/4941700.\nAnswer: 14825100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, -0.5, -3\/85 in descending order.\nAnswer: -3\/85, -0.5, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1257, -2518, -3793, -5088, -6409?\n\"Answer: -l**3 - l**2 - 1251*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from gggggggiggggg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 1, 0, -2.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 17819736.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3555, 3539, 3497, 3417, 3287, 3095, 2829, 2477?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1 + (-9 - -12). Solve m = 3*k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31\/9 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3771 is divided by 200.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1100000110111010010 (base 2) to base 8\nAnswer: -1406722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-720567)\/885)\/177 + 83\/9 + 6\/(-27).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 53\/5 of a centimeter?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14799, 25994, 37189, 48384?\n\"Answer: 11195*a + 3604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 0 - 61\/4*b**4 + 0*b + 0*b**2 + 1\/4*b**5 + 15*b**3 = 0.\nAnswer: 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*r - r - r)*(-3 - 3 + 5) - 81*r + 21*r + 19*r)*(-2 - 2*r**3 + 2) in the form k*r**3 + q*r**2 + o*r + c + y*r**4 and give y.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -35. Let y(o) = 2*o**2 + 9*o - 11. Let a be y(s). Let t = -45 + a. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 38. What is the smallest common multiple of (1*-2)\/(1\/(-8)) and d(13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38723.7 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*k - 4*k - k)*(3 + 2 - 7) + 2*k + 4*k - k - 5 + 10 - 1 - k)*(-19 - 9 + 4) in the form x + n*k and give x.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*g - 0. Calculate the remainder when 37 is divided by 3*((-56)\/6)\/g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by (17\/(510\/(-252)))\/((-6)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -223 - 2*k + 5*k + 76 + 73 + 69. What is v(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/(2\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 5631659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5058169*16.\nAnswer: -80930704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0*3\/(0 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 49.73. Let o = z - -0.3. Let v = o - 0.33. Which is the nearest to 0? (a) 0.4 (b) v (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 373.8157 days?\nAnswer: 8971.5768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-2)\/8*2). Suppose 3*q + 2*i = 30, 3*i - i + p = q. Solve -2*o + q = -6*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*r = -24*r - 408. Let c(y) = -y. Let t(k) = 3*k + 2. Calculate r*c(f) + t(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2178, 3616, 6016, 9378?\n\"Answer: 481*o**2 - 5*o + 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76411\/35 + 2183. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065065081 to the power of 1\/3, to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -359\/590 + 1\/118. Let k = 0.143 - 13.343. Let j = -13 - k. What is the nearest to -1 in q, j, 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 15. Suppose -3*z = 2*l - 7*l + 62, 5*l + c*z = 38. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**(1\/9))\/f)\/f)\/f)\/f**16)\/(f**6*f*f*f*f*f**(-3\/17)*f) assuming f is positive.\nAnswer: f**(-4427\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 25, l - 3*c - 613 + 596 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 15*w - 52. Let p be a(-9). Calculate the remainder when 758 is divided by (-40)\/p*190\/8.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1422 and 244800?\nAnswer: 19339200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13690062500 rounded to the nearest 1000000?\nAnswer: -13690000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440*(15330\/(-700))\/219.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 16*p**2 + 4*p - 455. Let l(m) = -5*m**2 - m + 2. Give -k(i) - 3*l(i).\nAnswer: -i**2 - i + 449","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -6*p + 1. Find the common denominator of -83\/14 and (15 - p - -1)*(-25)\/(-105).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(6\/7)*n**(-29\/4)\/n*n**(-1\/19)*(n*n*n\/(n\/(n\/(((n*n**(1\/4))\/n)\/n)))*n)\/n*n assuming n is positive.\nAnswer: n**(-717\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -2030?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 86*s**2 + 285*s - 1629. Calculate p(89).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by ((-576)\/160)\/(2*3\/(-105)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llq when three letters picked without replacement from {j: 4, q: 3, y: 5, l: 7}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5245161 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**5 - 1017972*x**4 + 17306512*x**3 - 42758720*x**2 - 264691200*x - 203608000 = 0?\nAnswer: -254510, -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 1:00 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l + l + 0*l)*(128*l + 51673 - 51675 - 14*l) in the form h*l + f*l**2 + m and give f.\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159229*q - 238 = -159212*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 385.3 - 390.3. Which is the nearest to 18? (a) x (b) -22 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-360)\/(-32))\/(-15))\/(11\/11)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**2*y**3 - q**2*y**2 + 973*q**2*y - 127*y**4 + 2*y**2 wrt y.\nAnswer: 24*q**2 - 3048*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 - 41124 - 332*d**2 + 41122.\nAnswer: -344*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 r when two letters picked without replacement from sisnissnririirisi.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 + 3*q - 3. Let a(j) = 41*j**2 + 9*j - 8. Let n(v) = 4*a(v) - 11*x(v). Is n(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1261474679?\nAnswer: 71, 2677, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50847131 - -50847103.9999912. Let r = 27 + l. What is r rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 322938390?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 2209\/31 and 71 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 4*t**3 - 3*t**3 + (8 + 0 - 2)*(-t**3 + 1 - 1) + 6*t**3 - 4*t**3 - t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159183 or -157791?\nAnswer: -159183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010675858 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 3.1. Let b = 28 + y. Let x = b - 28. Is x less than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -359233.0813 to the nearest 10.\nAnswer: -359230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) -2\/181 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) + 1 + -5 - (1 + sqrt(1872))*3)*-2 + 1)*2.\nAnswer: 30 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(77)*-2*-3)\/((sqrt(77) - (sqrt(77) + ((sqrt(77)*-2 + sqrt(77))*6 - sqrt(77)) - sqrt(77)))\/(sqrt(1100)*-1 - sqrt(1100))).\nAnswer: -450*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2875216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**5 + 2*a**4*c - 4*a**3 - 23*a**2*c - 2*a**2 + 6*a*c wrt a.\nAnswer: 600*a**2 + 48*a*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 300033 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -193 - 2 - 1. Let j(c) = -4*c - 10. Let y be j(-4). Is 13 a factor of 1\/(-3) - r\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -70, -92, -114, -136, -158?\n\"Answer: -22*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14488164, -28976323, -43464478, -57952629, -72440776, -86928919?\nAnswer: -101417058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99883412 = -20*i - 1128083412. What is i rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*8.2\nAnswer: 0.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5728\/15 + -382. Let d(j) = j**2 - 11*j - 2. Let o be d(11). Let m be (-2)\/1 + 0\/o. Which is the nearest to 1? (a) m (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/44 + 150\/22. Suppose 0*o - o = -6. Let v = u + o. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 + 70*l**2 + 65*l = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*w - 7 - 1, -4*w = y - 2. Suppose -5*q + 13 + 12 = 0, q = -2*g - 11. Let z be 12\/g*(-8)\/6. Solve -3*a - 5*i = w, -i - 2 = z*a - a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 910 + -493. Suppose 416*m - n*m = -142. Is m a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**7\/3360 + c**5\/480 + c**3 + 8*c**2. Let r(h) be the first derivative of l(h). Determine i, given that r(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -16) + 21 + -28 + (0 - -15)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286 + 279. Which is the closest to 1? (a) 0.5 (b) 7 (c) o (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -61967*j + 29. Let s(d) = 54*d**2. Determine g(s(i)).\nAnswer: -3346218*i**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -297*z - 472 + 1660 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 12 = 3*h. Let z be 5 - (-1)\/((-4)\/h). Solve -12 = -z*o - 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23, 22, 21, 20, 19?\n\"Answer: -t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 0*i + 25 + 87 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 12 = 16*b. Let l be (-1 - -3)*(b + (-3)\/3). Solve -10 = -3*r - l*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c594 (base 15) in base 4?\nAnswer: 1013333221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49820 and 30080.\nAnswer: 1594240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v**2 + 4*v**2 + v**2. Let w(j) be the second derivative of j + 0 + 0*j**2 + 1\/6*j**3. What is l(w(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 68 = 7*d. Let p = d + -14. Factor -8\/9*o**2 - 2\/9*o**5 - 8\/9*o**4 + 0 - 4\/3*o**p - 2\/9*o.\nAnswer: -2*o*(o + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18 - (-662)\/18. Suppose -4*i + c = 9. Suppose -3*k + 5 = -i. Solve 0 = -2*u - u - 3, -4*u = k*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.5 - -2. Let y = 7 - r. Let i = -6.4 + 6. Which is the smallest value? (a) y (b) 0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/3 (b) 6 (c) 2\/7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + 20 + (16 - (-6 - -16)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-120)\/68) - (109 - 112)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -60, -139, -250, -393?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 36 = -5*w, w - 2*w - 2 = 2*g. Let x = 5 + w. Which is smaller: -5 or x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v = -2*z + 62, 0 = -3*v + 3*z + 69. Suppose 6*t - t = 95. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 5.8.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4448.337mg?\nAnswer: 4448337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2130 (base 4) to base 8.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -56) + -5 - -13?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5241791 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21699, -86799, -195295, -347187, -542475, -781159?\n\"Answer: -21698*p**2 - 6*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**4\/12 - 5*a**3\/6 - 3*a**2. Let m be q(-4). Let r(h) = h**3 - 3*h**2 + h - 2. Let d be r(m). Solve 0 = 2*c - d + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 36, -1, -5\/2, -6 in descending order.\nAnswer: 36, 0.6, -1, -5\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5\/2 + 24*a**4 - 261*a**3\/2 + 282*a**2 - 210*a = 0. Calculate a.\nAnswer: 0, 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11*(112\/(-14) - -717).\nAnswer: 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-9 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**3 - 52*a**2 - 170*a + 264. Let c(l) = l**3 - 4*l**2 - 4*l. Let t(d) = -5*c(d) - y(d). What is b in t(b) = 0?\nAnswer: -33, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**2\/3 + 10*d\/3 - 5\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 3)*(-2*y**2 + 0*y**2 + 8*y**2) - 5*y**2 + 9*y**2 + 15*y**2.\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1174868m to centimeters.\nAnswer: 11.74868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 16 = 2*f - 8*b, 4*b + 0*b = 32 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q + 15. Let u be y(13). Solve 6*p + 20 = 2*p - 3*v, -3*v + 10 = -u*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -1 - 48\/(-3). What is the highest common divisor of 10 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4 + 8*j**2 - 5*j**2 - 5*j**2 + j**2. Let x be m(0). Solve -7 = -x*s + 3*o, 3*s + 0*o - o = 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 7*q - 7. Let w be o(5). Let r be -4 - 3*1\/w. Let u = -1553.8 - -1554.8. Sort r, u, 0.11.\nAnswer: r, 0.11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 14*a**2 + 61*a - 167. What is f(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19162 + 18993. Let w be (-35)\/30*4\/(-7). Which is bigger: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*d**3 + 15*d**2 - 2775 wrt d.\nAnswer: -81*d**2 + 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 f when four letters picked without replacement from fhhhf.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 295263 and 246768.\nAnswer: 458248176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330 divided by 4894.\nAnswer: -165\/2447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*d**5 - d**3*h - d**2*h + 2*d*h - 4*d - 3*h wrt d?\nAnswer: -520*d**3 - 6*d*h - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 9*d - 6. Let o be q(-7). Let z = 3 + o. Differentiate -3 - 17*k**2 + z*k**2 + 7 with respect to k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 15 = -21*h + 18*h, -h = -5*k + 21. Suppose 0*s + s = 0. Suppose -4 + s = 2*n. Sort n, 9, k.\nAnswer: n, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m + 14. Let s(r) = r + 26. What is the remainder when s(0) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from {t: 1, p: 1, w: 1, a: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p + 17 = 0. Suppose -p = -3*x + z + 9, 0 = 4*x - 3*z - 28. Suppose -2*q + 7 + 5 = 0. What is the remainder when x is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 11 (c) 0.3 (d) 4 (e) 0.5 (f) 5 (g) -0.0733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(33))\/(sqrt(891) + sqrt(891)*-2) + (((sqrt(21) - (sqrt(63)\/sqrt(3) - sqrt(21)) - sqrt(21))\/sqrt(7))**2 + sqrt(3) + 1 + sqrt(192))*4.\nAnswer: 4 + 316*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1110871 * -0.528.\nAnswer: 586539.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 + 120 + 35 + 58?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-3))\/(2\/6). Suppose -5*b + 50 = -o*j, 11 + 9 = -5*j. Let d(u) = -u**2 + 12*u - 1. Is d(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-5)*(-2 - (-15)\/12). Suppose -4*o + 0*o = -4*q - 88, 0 = -5*q - 3*o - 142. Let a be (-22)\/q + -3 + 2. Put a, 8, f in increasing order.\nAnswer: f, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*q - 32 - 152 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, 892, 0.4, 1\/3, -20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - (17 + 9)) + 29.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 9*a**2 + 5*a - 16. Let l be j(3). Let t = -27 + 25. Let o = 8 - t. What is the highest common divisor of l and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkkpzzptkkcipttpz. Give prob of sequence ki.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (138\/(-23))\/((-6)\/32). Let l = -17 + 42. Let s = l - d. Let m(p) = 9*p + 3. Let g(b) = -5*b - 2. What is s*g(t) - 4*m(t)?\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m + 2*m + 0*m + 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yttyatayayy. Give prob of sequence taa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6815 divided by -5?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {p: 1, h: 2, x: 3, s: 1, j: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -846.5 + 499. Let r = w - -347. Which is the closest to -16\/3? (a) -1 (b) 1\/11 (c) -3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 48, 0.08, -0.0593 in ascending order.\nAnswer: -1, -0.0593, 0.08, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/12 and -29\/69232.\nAnswer: 207696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - -1.5. Let n = 30 - 27. Let t = l - n. Which is the second smallest value? (a) -1\/7 (b) t (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w**2 + 3*w - 2. Suppose -2*m + 4*z = 22, -6*m + 8*m + 14 = 2*z. What is q(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4061.\nAnswer: 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 + (-13400)\/16)*-4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 6, 4*w + q = -q + 8. Suppose 3*p - 12 = 2*p. Let l = 0 + p. Solve -l + 49 = w*g + 5*v, 5*g - 10 = 2*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.01 + -8. Let h = l - 0.0100155. What is h rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 3, a: 2, p: 9}. Give prob of picking 1 f and 1 p.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 3:38 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10759, 10758, 10757?\nAnswer: 10756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6152?\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n**2 - 2*n - 5. Let s be 2\/4 - 9\/2. What is the tens digit of b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 0, 2*z = 5*y + 6*z - 350. Calculate the remainder when y is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(4\/2) + 7\/2. Let l = -2 - -2. Find the second derivative of -2*d + l*d**u + 13*d**3 + d**4 - 13*d**3 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(30\/9)\/(-5). Let s(z) = -1. Let x(n) = -2*n - 4. Let p(o) = j*s(o) + 2*x(o). Differentiate p(i) with respect to i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25905 - 18302. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -945 - -1098. Calculate the lowest common multiple of h and 39.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m - 18. Let x(n) = -4*n - 9. Give -3*r(l) + 7*x(l).\nAnswer: -l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13501 - -4272. Let l = a + -39973. Round l to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 41. Let v = t + 25. What is the second derivative of 3*b + 4*b**2 - b**2 - 6*b**3 - v*b**2 wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 763420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 10 + 8 + 27, 4*n = 2180*i - 2194*i - 62 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -27a575 (base 14) to base 3\nAnswer: -2120202111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1508, -3019, -4534, -6053, -7576, -9103, -10634?\n\"Answer: -2*z**2 - 1505*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27935958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 85*p - 80.\nAnswer: -5*(p + 1)*(p + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**5\/5 - 22809*i**4\/5 - 297066*i**3\/5 + 319872*i**2\/5 = 0.\nAnswer: -14, 0, 1, 7616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 3. Let q(g) = -19 + 2 - 27*g**2 + 1 + 7*g**2. Let u(s) = 16*b(s) + 3*q(s). Let m(v) = -12*v. Calculate u(m(t)).\nAnswer: 576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 6)*(0*c**4 - 161 + 162 - c**4) to the form r*c + f*c**3 + v*c**4 + x + o*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 253*d**4 - 14*d**3 + 160*d. Let j(h) = 126*h**4 - 6*h**3 + 80*h. Let s(n) = -6*f(n) + 14*j(n). Find the second derivative of s(x) wrt x.\nAnswer: 2952*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y = 4*b + 8*y - 4, -5*y = -2*b + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*z = -5335, 3*h - 4*z - 3547 - 462 = 0. Suppose h = 27*o - 22*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2710.\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(50*h - 17 + 33 - 44*h).\nAnswer: -6*h - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 = -0*d - 2*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1410.7 + 1411. Let g = 4 + -4. Let m = 5 + g. Sort -4, h, m.\nAnswer: -4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1833.1 in 1.2, 2, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -9*w - 4. Let r be 228\/(-225) + w + 2. Is r at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2426, -2505, -2594, -2699, -2826, -2981?\nAnswer: -3170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atatitaalileaa. Give prob of sequence taa.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76767*g - g**3 + 76767*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -495 + 3*w + 0*w + 496. Let l(z) = 655 - z + 660 - 1315. Calculate -2*l(d) - t(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-54)\/(-30))\/3)\/(1050\/43750).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*-6*(-4 + sqrt(1575) - sqrt(63))*-3 + -5)**2.\nAnswer: -131328*sqrt(7) + 1329472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1632838 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(128) - (sqrt(128)*1 + 2 - sqrt(128))))*5)**2.\nAnswer: -800*sqrt(2) + 3300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.1 + -26. Let w(z) = z**2 + 3*z - 1. Let d be -4 - (0\/(-2) - 1). Let p be w(d). Which is the closest to p? (a) 1\/2 (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 6992.\nAnswer: 34960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/24*1*(-10)\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -7*p - 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2. Let h(q) = 4*q**2 - 6. Let k(d) = 1 + 11*d**2 - 4*d**2 + 2*d**2 - 14. Let n(l) = -13*h(l) + 6*k(l). Determine n(t(s)).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 45*q**2 + 25*q**2 + 22*q**2)*(-6 + 2 + 7).\nAnswer: 6*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 2*w + 1. Let c be j(-1). Let d be 4 + 17 - (c - 0). What is the derivative of -d*a - 17*a + 35*a + 6*a**4 + 1 wrt a?\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:50 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -76. Calculate the lowest common multiple of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1580727.96 minutes?\nAnswer: 156.81825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 11*d**2 - 16*d - 5. Suppose 0*t + 11 = t. Let f(q) be the third derivative of q**5\/30 + q**4\/8 + q**3\/6 - 3*q**2. What is t*f(s) + 2*b(s)?\nAnswer: -2*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 291*o - 2. Let k(m) = 279*m - 2. Let d(c) = 6*k(c) - 5*l(c). Let n(p) = -4*p**2. What is d(n(s))?\nAnswer: -876*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 247. Let t(j) = 3*j. What is o(t(c))?\nAnswer: 6*c + 247","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 886.8994456 to 1 decimal place.\nAnswer: 886.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 23, -4, -2 in descending order.\nAnswer: 23, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u + 1. Let v(y) be the first derivative of -2*y**3 + 6*y**2 - 12*y - 153. Determine -v(m) - 12*x(m).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/12 + (-6)\/9. Suppose 0 = -5*i, -2*t + o*i + 8 - 2 = 0. Find the third derivative of -3*f**2 + 7*f**2 - 12*f**3 + 3*f**t wrt f.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37, 115, 231, 391, 601, 867, 1195?\n\"Answer: c**3 + 13*c**2 + 32*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -5*(sqrt(66) + sqrt(66)*-2) - -6*sqrt(66)*2)\/(sqrt(120)\/sqrt(5) - (sqrt(54) - sqrt(270)\/sqrt(5))\/sqrt(9)) + 5 + -5.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*-1*12\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-332)\/(-32) + 21\/(-56)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103301 - -121?\nAnswer: 110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*j + 65406 = 68662 for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 351100 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*a + 7. Solve 40 = -5*i - a*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - (2 + 9)) + 2 + 6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 + -212.9. Let n = -6.5 + w. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116797\/6140 - 17\/614. Let t = c - -129\/5. What is the common denominator of -5\/36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 44 = 9. Let j be (1 + -2)\/((-7)\/w). What is the units digit of (1\/(3\/(-45)))\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 577961 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 5*d**8\/28 + d**4\/6 + 2*d**3\/3 - 38*d**2. What is the second derivative of j(u) wrt u?\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 - -9.7.\nAnswer: -29.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -120*d**2 - 3*d - 5. Calculate j(-2).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 24 = b. Let o be b\/4*(-8)\/(-6). Calculate the common denominator of 117\/20 and o\/((-118)\/(-10) - 3).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -106032643.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:47 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*i + 33*i + 285480 - 297630 for i.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -2193 in descending order.\nAnswer: 4, -3, -2193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3898 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21333403 is divided by 10666700?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -23*g - 3*r, 4*g - 4*r = -r + 2*r + 37 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuzuu. What is prob of sequence uuuz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) + (-11 - 1002215\/25). Round k to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 - -178. Calculate the remainder when 24 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 3245340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -822, -4, 0 in increasing order.\nAnswer: -822, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -11202 (base 5) to base 15\nAnswer: -387","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 16}. Give prob of sequence ppy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**3 - 2*o**2 + 2*o**2)*(4 - o - 4) + 242*o**4 + 248*o**4 + 4*o - 412*o**4 to the form g*o + r*o**2 + t + l*o**4 + m*o**3 and give l.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6064 + 15797. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -709511*i + 19866303. Give c(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -675504 divided by -16?\nAnswer: 42219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 518298039499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**3*i + 49*h**2*i - 99*h*i + 1196*i + 12 wrt h?\nAnswer: 6*h**2*i + 98*h*i - 99*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q**2 - 36*q**2 + 7*q**2.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12597726 is divided by 11643.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -23 + (2 - 9) + -2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 172. Let c = 78 + b. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4113508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 320632685 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lc when two letters picked without replacement from cclyzzyzzcyzzz?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.16, 2\/15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 755745683 divided by 301.\nAnswer: 2510783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 67, 100, 131?\n\"Answer: -w**2 + 38*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9266.958 millennia in years?\nAnswer: 9266958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933276 is divided by 483315.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -890335, -1780737, -2671137, -3561535, -4451931, -5342325, -6232717?\nAnswer: -7123107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04002 (b) -4 (c) -0.1 (d) -438\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 5*n + 2*n - 7*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19749479 is divided by 9874681.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892.702 rounded to the nearest ten?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 22. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 2, z: 7, y: 1, f: 2, o: 1}. What is prob of picking 1 f and 2 z?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 6\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5159230 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2503648544.\nAnswer: 2, 19, 4117843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 490585 and 295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y. Let b(g) = 33*g. Let k(m) = b(m) - 2*u(m). Let n(o) = 5 - 36 + 6*o + 10 + 21. Calculate -2*k(t) + 11*n(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jipjijipipi?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b - 265 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2826782346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - 414123?\nAnswer: -414044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3980.8 and -5?\nAnswer: 19904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13332 = 13330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.28. Let w = 0.38 - i. Let b = -50 - -54. Put b, w, -2\/9 in ascending order.\nAnswer: -2\/9, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let t be a(-3). Let y be (-20)\/6 + t - 1. Let p = 1\/60 - 4\/15. What is the closest to y in 1\/5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 8, p: 3}. What is prob of picking 3 p?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = -5. Let c(s) = -s**2 - 6*s - 6. Let l be c(-4). Solve -4*y + b*y = l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -861856306, -861856301, -861856286, -861856255, -861856202, -861856121, -861856006, -861855851?\nAnswer: -861855650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57)\/5*(-110)\/396*6. Sort -2, 2\/13, 5, -0.5, u in descending order.\nAnswer: u, 5, 2\/13, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 3*a - 3 = 20, 4*a - 12 = -4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -2)\/(1 - 2). Suppose -s + 13 + 3 = 0. Suppose 2*p + 2*p = -s. Sort p, -3, w in descending order.\nAnswer: w, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(4\/(-1)) + 0 + 1. Let h be (-12)\/8*8\/(-3). Let o be 2\/(u + (-2)\/h*-1). Solve -3*z + 3 = -o*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -526, -2101, -4726, -8401, -13126, -18901, -25726?\n\"Answer: -525*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 4*h + 6. Calculate n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55442 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*t - t + 5*x, 3*t + 40 = x. Let a = t + 15. Solve a*l + l = -12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 0.1. Let r = -0.134 - -0.704. Let h = -0.43 - r. What is the nearest to h in 1, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 - 6*v**2 - v + 7. Let z be n(1). What is the second biggest value in z, -0.4, -23, -3\/16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = -7*d + 5*t - 8, 2*d - 2*t = -8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y. Let q(c) = 164110*c. Calculate b(q(z)).\nAnswer: -328220*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 27 = 4*r, -28 - 6 = -3*r + 5*t. Which is smaller: 0.4 or r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k. Let h(q) = 374*q. Determine r(h(p)).\nAnswer: -2618*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -70, -76, -84?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/30 - 79143\/86802.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*h - 14. Let z be h\/(-24) + (-42)\/(-8). Calculate the greatest common divisor of 55 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.992 - 0.008. Let s = 26.6 + x. Let d = 0.4 + s. What is the biggest value in 1, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 212264*l**5 - 11*l**2 + 2930.\nAnswer: 12735840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -2019.81313052?\nAnswer: -2019.75313052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-22)*6)\/6*(-225)\/((-6)\/2)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 392 and 22.\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6) + 980\/(-147)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 54 - 55 - (4 - 3 - (-1 - 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000797021 to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4085 divided by -6?\nAnswer: -4085\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13404 + -3222?\nAnswer: -22131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 59\/4 of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 4:11 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w**2 - 120*w + 12. Let v be x(-12). Let n(h) = 29*h + 131. What are the prime factors of n(v)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 573650344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/24781 in -2\/7, -0.7, 4\/5, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -543379938.5 rounded to the nearest one hundred thousand?\nAnswer: -543400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**4\/12 - 5*c**3\/6 - c**2 - 46*c. Calculate r(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*sqrt(72) + 3 + 0 + (sqrt(72)*-4 + 1 + sqrt(72))**2 + 0)*3.\nAnswer: -288*sqrt(2) + 1956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(3) - (sqrt(27) + 5))*-6 + -2 + 4)**2.\nAnswer: 768*sqrt(3) + 1459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 10*j**2 + 9*j. Let h = 24 + -15. Let b be t(h). Suppose -3*y + 2*y - 2 = b. Put y, 3, -4 in descending order.\nAnswer: 3, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64\/327 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*v + 2*g + 28, -4*g + 88 = -4*v. Let d = v - -28. List the prime factors of 4\/d - (-72)\/45.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 14*f**2 + 2*f + 2. Suppose 2*y - 5*p - 12 = -10, -4*y - 26 = -5*p. Give h(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 1\/2*d**3 + 0*d + d**2 + 0 - 1\/12*d**4. Determine m(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1\/2 (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 9:38 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.92 - -6. Let z = 1.2 - 1.28. Let y = z + l. Which is the nearest to 2? (a) -4 (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21439, -21446, -21457, -21472, -21491, -21514?\n\"Answer: -2*x**2 - x - 21436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8758 is divided by 8553.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53 and -100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20750843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773882 less than 5773876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, -72, -0.4.\nAnswer: -72, -0.4, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 106154 or 106120?\nAnswer: 106154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4353.9 - -4354. What is the closest to 8\/7 in 0.3, -1.1, s, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/9 + 142*c**2\/9 + 5560*c\/9 + 8000\/3 = 0. Calculate c.\nAnswer: -24, -5, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66\/7 - 587\/63. Which is the smallest value? (a) 0.2 (b) -5\/4 (c) 2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517408364 to the power of 1\/2, to the nearest integer?\nAnswer: 22747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**2 + 11. Let n be d(-4). Let f = 71 + n. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -6*b**4 + 4879*b**3 + 1075299*b**2 + 52889664*b - 8844836 = 0.\nAnswer: -94, 1\/6, 1001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*o - 40 = -2*r, -4*o = r - 18. Suppose 2*h - r*h = -192. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 102667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 109385944 equal to 109385943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042 is divided by 165?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbzrzzzlllrxbzlr. What is prob of picking 1 l and 1 z?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130.5 + 130. What is the second smallest value in -1, m, 2\/9, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364724466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwlw. Give prob of sequence lw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 8*i**2 - 110*i - 475. Determine n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*m**4 - 20*m**4 - 4*m**5 + 4*m**4 - 2*m**5 - 4*m**4 + (0*m**2 + 4*m**2 - 2*m**2)*(-m**2 + m**2 - m**3) - 31*m**5 - 7*m + 7*m.\nAnswer: -39*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6632556*o**5 + 10*o**4 + 297874018*o**2 wrt o?\nAnswer: 397953360*o**2 + 240*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1919, 5599, 13117, 20635, 28153?\nAnswer: 35671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4555 = -32*x + 53525. Suppose -u + x = -4*t, -3*u + 2*u - 5*t = -1851. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 - -135012?\nAnswer: 135253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004627 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1839, 1841, 1853, 1881, 1931, 2009, 2121, 2273?\nAnswer: 2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, c: 1, q: 1, g: 3}. Give prob of sequence cgii.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -335*s**3 - 3*s**2 + 2*s + 2. Let k be q(-2). Let b = k + -349. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**3\/3 - s**2\/2 + 4*s. Calculate the remainder when h(7) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 82 - 81. Suppose 2*r - 5 = k. Solve 0 = -r*x - 5*f + 6, -x - x - 3 = f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/7 - 2703465*h**2\/7 - 10813812*h\/7.\nAnswer: -3*h*(h + 4)*(h + 901151)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -1. Suppose -s = 5*j - 1329, -2*s - 1317 = -y*j - 0*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361200 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdzddzbidiii. Give prob of picking 1 d and 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 43*r - 48. Let c be s(13). Solve 6 = -4*l + 4*z + 34, 0 = -4*l - c*z + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 36*w - 21 + 7 + 14 - 4*w. Let d(b) = 2*b + 1. Let i be d(-2). Let o(f) = -11*f. Give i*z(k) - 8*o(k).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*59\/(5310\/(-108))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/7 - h**3 - 8*h**2\/7.\nAnswer: h**2*(h - 8)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6610124, 6610144, 6610164, 6610184?\n\"Answer: 20*b + 6610104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*u + 22, 5*m - 5 + 15 = 0. Is 134\/11 - u\/(-44) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -433, -865, -1297?\n\"Answer: -432*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9047 at most as big as 9011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 742, 748, 760, 778, 802, 832?\n\"Answer: 3*f**2 - 3*f + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 39. Determine p(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1101, 521, -81, -717, -1399, -2139?\n\"Answer: -2*j**3 + j**2 - 569*j + 1671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174634804*o**3 - o**2 + 86785192*o?\nAnswer: 1047808824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 23*n**2 + 4*n - 1. Let b be y(23). Suppose 4*x - 1095 + b = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -7*l**3\/3 + 38. Let m(k) = -5*k. Calculate m(z(q)).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/77 and -87\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49895 = 310*w - 88645 for w.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-41)\/(-3))\/((-18)\/(-54)). Calculate the greatest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3138 + 17439 - 24864 = 1404*s + 72273 for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10494 or -62965\/6?\nAnswer: -62965\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 56 - 40. Solve -v*a + 4*d = -4, a - 29*d = -30*d + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twewwwtwwwprtptt. What is prob of picking 2 t, 1 w, and 1 p?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 14 - 3\/8*t**2 - 1\/8*t**3 + 3\/32*t**4 + 0*t. Factor j(s).\nAnswer: 3*s*(s - 2)*(s + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/2 of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l + 2. Let y(x) be the second derivative of -27*x + 425\/6*x**3 + 0 + 51\/2*x**2. Let s(m) = -51*h(m) + 2*y(m). Let t(u) = 2*u. Calculate s(t(k)).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = j + 15, -13*j - 23 = -16*j + 2*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l\/((l**(-15)*l*l)\/l))))\/l)**(25\/6)*(l**21)**(-1\/34) assuming l is positive.\nAnswer: l**(1052\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1468 + 678 = -6*z - 604 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**3 - 160*f**4 - f + 2 + 307*f**4 - 4*f**3 + 16*f**2 - 148*f**4 to n*f**4 + l + x*f**2 + i*f + u*f**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 3451?\nAnswer: -17255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 279144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -6\/109, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, -2, 18636, -5, 3, -4 in descending order.\nAnswer: 18636, 11, 5, 3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8854 - 8828. What is the closest to 2\/5 in -2\/33, d, 1?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -10. Let m = 21 + b. Is m bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 842 * -48\nAnswer: -40416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 786.0936 millilitres?\nAnswer: 0.7860936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 96, 207, 362, 561, 804?\nAnswer: 1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 3*l - 2*l)*(-9*l + l - l) in the form j*l + n*l**2 + v and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 66, 101?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-30)\/56 - (-195)\/(-260). Let x = 125\/6 - 21. Which is the third biggest value? (a) -0.2 (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -d + 5*p, 2*d + 5*p - 10 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**4 - 5258*n + 35652 with respect to n.\nAnswer: 16*n**3 - 5258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 10:17 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from piiphpiihpppip?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddfwhhddwfodhod. What is prob of sequence dwd?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:55 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 204*f - 2246. Let o be q(11). What is the smallest value in -17, -51, o?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)\/((-2)\/(-6)). Let o(i) = 2*i**2 + 3*i + 2. Let x(s) = 19*s**2 + 1. What is the remainder when x(-1) is divided by o(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-60)\/(-22))*108\/(-6)*1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 2912.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 34 + -46 - -30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18096*z + 54961 = 17697*z + 16258 for z.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77716658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230 (base 7) in base 3?\nAnswer: -1002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:54 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**3\/6 - r**2 - 2*r. Let z be q(8). Calculate the greatest common divisor of 66 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*j = 22, 15 = -v - 4*j - 6. Which is smaller: v or -6\/29?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 4*r + 4*g - 617, -g - 2 = 0. Let a be r\/6 - (-15)\/45. Let v = a + -15. Solve 3*m - v = -3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1\/4 (c) 1\/2 (d) 1 (e) -4673 (f) 2\/11 (g) 1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 198448.\nAnswer: -1\/49612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7488*i**2 - 80 wrt i?\nAnswer: 14976*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 32. Let p = r + -36.1. Suppose 4*n - 5 = 9*n. Which is the third smallest value? (a) p (b) -2\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2527857 and 148487.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12032 + 12026.827. Let d = n + -0.027. Let p = -5.18 - d. What is the nearest to -0.2 in 0, 4, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*u - 193176 = 344673, 4*f - 5*u - 537919 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(6\/5)*r)\/r)\/(r\/r**(-28)))\/((r**(-1\/37)*r)\/r*r**23) assuming r is positive.\nAnswer: r**(-9208\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, -10 in descending order.\nAnswer: 2, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2998524733 - -112465?\nAnswer: -2998412268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171)\/(sqrt(1089) + sqrt(1089)*1 + sqrt(1089)))**2*-5.\nAnswer: -95\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 10. Let z = -6 - -4. Let u = 10 + z. Let b be f(u). Put b, -4, -1 in descending order.\nAnswer: b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fft when three letters picked without replacement from ftff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x = 83*x + 11242. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3000280 and 49220.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 7*a**2 - 6*a + 4. Let n be q(-6). Suppose 10 = 2*k - n. Suppose 3*d - 5*m - 10 - k = 0, -5*d + m + 21 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1331) + 0)*-3*6.\nAnswer: -594*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 36. Let r = 24 + a. Solve -r*i = -0*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -31. Let v be (-1)\/(-2) + c\/(-4). Suppose 3*m = -n + 37, -5*m - 42 + 117 = 5*n. Solve 2*l = -5*h - 1, -v*l + 7*h = 2*h - m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3921 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(33\/(-22))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k + 3. Give y(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-56)*(-315)\/(-30)*(-7)\/63\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/5, 0.5, 0, 2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7791230?\nAnswer: 2, 5, 31, 41, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*g - 14, 4*g + u + 1 = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rriaradrccaarccadc. What is prob of picking 1 i and 1 a?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909167969.\nAnswer: 31, 29327999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.37 * -0.43.\nAnswer: 1.4491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 8*l - 4. Calculate the remainder when 22 is divided by u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 35 = -1. Let y = 51 + g. Let f = y - -5. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -478 or 1232?\nAnswer: 1232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.4 + -2.2. Let h be (-4)\/(-8)*((-16)\/9)\/4. Put h, b, 2 in descending order.\nAnswer: 2, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 22. Let z(o) be the first derivative of -3*o**3 + g*o + 2 - 3\/2*o**2. Let z(w) = 0. Calculate w.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or 7489\/609?\nAnswer: 7489\/609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 174370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23060 - 23060 - 166*d)*(4578 - 4578 - 53*d) to l*d + b*d**2 + x and give b.\nAnswer: 8798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.6 - 7. Suppose -379*l = -409*l - 90. What is the closest to l in t, 4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 330 + -148. Let n = l - 141. Which is smaller: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2233 + -10?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1895*t - 15205. Give f(-8).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -517 + 837. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-10 - (0 - 13))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28646203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/7 - 5970*p\/7 - 12619375\/7.\nAnswer: (p - 7625)*(p + 1655)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059514 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2. Let u(m) = 10*m - 806. Determine u(s(j)).\nAnswer: 10*j**2 - 806","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3069093472.\nAnswer: 2, 53, 103, 17569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183689?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -0.101?\nAnswer: 0.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -259*l + 342. What is the remainder when x(1) is divided by 67?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g**2. Let w(b) = -4*b. Let x(n) = -9*n. Let z(s) = -14*w(s) + 6*x(s). Give j(z(y)).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.4 + 2.7. Suppose 0 = -5*p + 4*s + 20, p - 4 = -3*s - 0. Suppose -3*b + 5*r = -0*r - 2, -4*b = p*r + 8. Which is bigger: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10780 divided by -44?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (11 + 0)) + -9 - -14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/4 - 61*w**4\/2 - 898*w**3 + 2044*w**2 + 3596*w - 7688 = 0.\nAnswer: -62, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/80026466 and -23\/208.\nAnswer: 640211728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -213*d + 139*d + 70*d + 141*d + 7*d in the form n*d + y and give n.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 15*h + 16*h + 36 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**6\/720 - w**5\/60 + w**4\/12 - w**3 + w. Let y(k) be the second derivative of a(k). Let y(t) = 0. Calculate t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 5*q, -164958*p + 164960*p + 5*q - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 10*k**2 + 10*k. Let t(u) = 2*u**3 - 7*u**2 + 7*u. Let x(z) = z**3 - 9*z**2 - 5. Let c be x(9). Let o = -1133 - -1140. Give c*s(w) + o*t(w).\nAnswer: -w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80847 is divided by 40408.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 7) + -9 + (13 - -16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 8:06 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*g + 1 + 5*g + 40*g - 316*g in the form v + u*g and give u.\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3066, -6628, -10190?\nAnswer: -13752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 581 - 1430. Let h = n + 1286. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.5 (b) 2\/5 (c) -1\/15 (d) -14 (e) 29.3 (f) -2\/19 (g) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10967\/4116 + 3\/1372. Which is the fifth smallest value? (a) 4 (b) -0.04 (c) -0.5 (d) j (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11913\/65 - 916\/5. Which is the nearest to v? (a) 0.01 (b) -0.3 (c) -3\/7 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6335 - 0?\nAnswer: -6335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) + (-425)\/(-10). Find the common denominator of 1 - ((-321)\/y - -1) and ((5\/4)\/1)\/((-4)\/34).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 5, k: 3, t: 2, p: 3}. Give prob of sequence kop.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y = 0. Suppose -m + y*m + 483 = 3*v, -3*m = 2*v - 322. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4 + 7*m**3 - 737*m**2 - 47617 wrt m.\nAnswer: -4*m**3 + 21*m**2 - 1474*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - ((-13)\/(-6) + 18\/(-108) - 3). What is the closest to 0.1 in -1\/3, r, 1450?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 12*p**2 - 2*p - 16. Let l be m(-12). Suppose -12*j + l*j = -44. Calculate the least common multiple of j and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1192 = -668. Let i = 376 - b. Solve 66 = -i*l + 46 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3 - -1) + (-6 - (8 + -7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7965 and 5640?\nAnswer: 2994840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154700.343 hours to weeks.\nAnswer: 920.835375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77512127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-3*(1 + sqrt(2)))**2 - -2*sqrt(4)\/sqrt(2)) + -4 - ((sqrt(120) + (sqrt(120)*-2 - sqrt(120)))\/sqrt(12) - sqrt(10))\/((sqrt(300)\/sqrt(5))\/sqrt(12)).\nAnswer: 24 + 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -22*u**3 - 2*u**2 - 7*u - 6. Give q(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l - 105. Determine j(0).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(464\/87).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 3*i - 1 + i**3 - 2*i**3 - 2*i. Let f(y) = -26*y**3 + y**2 - 8*y + 3. Let o(p) = f(p) + 3*r(p). Let j be o(5). Round j to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-270)*-5*3*1680\/260?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622958.\nAnswer: 2, 13, 79, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13201006 at most as big as 13201005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -10. Let y = -3 - -8. Suppose 0 = -0*d + 3*d. Sort w, y, d in increasing order.\nAnswer: d, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 9*h + 9*h - 7*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22852581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*h - 15. Let i be 2\/(-6) + (316\/3 - h). Let r = i - 34. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -22. Suppose r*n = -4*k + 76, -2*k + 3*n + 10 = -28. Calculate the remainder when 36 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 2:42 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-8)*m**(1\/21)*((m**(1\/3)*m)\/m)**(-3\/34) assuming m is positive.\nAnswer: m**(-4985\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 8*i + 7*i = 0. Suppose a + 3*p = 2*p, i = 2*a - 5*p + 14. Do a and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*i**2 + 6*i**3 + 149*i**2.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 27 = -3. Suppose 0 = 8*h - 3*h - o. Let z + 0*z + 2*z**h + z = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25661717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 93 + 117. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**3 + 2*t + 407 - 13*t**3 - 404 + t**2 as u + y*t**3 + f*t + k*t**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27015358.\nAnswer: 2, 71, 190249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 6. Let m be (-3)\/(-5 + -1 + 2106\/390). Solve 3*u - 35 = z*o, u + 20 = -0*u - m*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-9)*-5*162\/(-45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 11\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**4 - j**4 + 0*j**4)*(12*j - 2*j + j).\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -58793150+-0.0931\nAnswer: -58793150.0931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1114, 2, 0.1, 1\/6, -18, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33596 in 29, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33947, -33885, -33799, -33689, -33555, -33397, -33215?\nAnswer: -33009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 172 in -2\/9, -0.3, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from {u: 2, e: 6, f: 1, j: 4, a: 3, q: 4}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + c**2 - 1. Let m(f) = 7*f**3 - 5*f**2 + f + 4. Let h(z) = -m(z) - 6*n(z). What is the units digit of h(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 29 = 5*m, -246*m + 251*m - 5*h - 20 = 0. What is the smallest value in 0.4, 2, m, -2\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7168 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 157 and 9?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*z + 333, -4 = -4*z - 8. Suppose -4*l + 3 = -u. Calculate the highest common divisor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 2. Let v(g) = 1. Let s(r) = -3*v(r) - x(r). Calculate the remainder when 11 is divided by s(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 636612278 to the nearest integer?\nAnswer: 25231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*x**2 + 9*x**2 + 36*x**2 - 7*x**3 - 90*x + 4*x**3.\nAnswer: -3*x*(x - 10)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - ((-69)\/3)\/((-43)\/(-1433233)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 k, and 1 f when four letters picked without replacement from ktkfnof.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 39. Let r be (2\/3)\/(i\/(-21)). Is (-487)\/2*(-2)\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/6)\/(3\/108). Let t be (4*-1)\/(4 + -2). Let a = 10 - t. Calculate the highest common divisor of a and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-42)\/52500*202\/(-4)*1 and -19\/125.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 658*p - 16929. Let r(j) = -132*j + 3385. Let w(m) = 11*r(m) + 2*x(m). Find the first derivative of w(i) wrt i.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33456 and 1632?\nAnswer: 66912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.9, -1, 2\/5 in decreasing order.\nAnswer: 2\/5, -1, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1101)\/12111*(-44)\/(-90)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*q - 2*h + 11, 0 = 5*q + 5*h - 25. Suppose -q*c**3 + 5*c**3 - 2*c**2 - 2*c**2 + 2*c - c**2 = 0. Calculate c.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 155*f**2 + 3*f + 118. Let a(t) = 70*t**2 + t + 59. Give 7*a(w) - 3*h(w).\nAnswer: 25*w**2 - 2*w + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0*q**5 + 0*q**6 + 1\/6*q**4 + 0*q**7 + 1\/14*q**8 + 0*q**2 + 0 - 4*q + 0*q**3. What is the third derivative of f(a) wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-6*(1 + sqrt(175) + 2*sqrt(175) + sqrt(175))*2 - ((sqrt(175) - (0 + sqrt(175) + sqrt(175) + 5)) + 1 + sqrt(175) + -5)*-3))**2.\nAnswer: 21120*sqrt(7) + 405136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78 and 68250858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 91, 145, 199, 253?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2 + 4*o + 3. Let h be n(-3). Let d = h - 19. Let v = d - -2. Calculate the lowest common multiple of 1 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 2*h\/5 - 12\/5.\nAnswer: 2*(h - 2)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22 - -14) + (1 - -2). What is the remainder when 4\/x + -5 + 3598\/35 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d - 2*d - 10*d + (d + 4*d - 6*d)*(5 - 4 + 0).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 + 142*f**3 = 0 for f.\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5251892099 to the power of 1\/2, to the nearest integer?\nAnswer: 72470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**5\/3 + 224*n**4\/3 - 328*n**3 - 672*n**2 + 3060*n = 0.\nAnswer: -3, 0, 3, 5, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 109 + 109 = 16*d. Factor -1\/4*l**3 + d - 1\/4*l - 1\/2*l**2.\nAnswer: -l*(l + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgb when three letters picked without replacement from {o: 1, b: 2, p: 2, g: 1, s: 4, j: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b**2. Suppose -5 = 5*c - 25. Let h(f) be the third derivative of 0 + 0*f**3 + 0*f + 3*f**2 + 0*f**c + 1\/60*f**5. What is d(h(r))?\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z + 2. Let c(n) be the second derivative of n**3\/2 - 20*n - 4. Calculate x(c(m)).\nAnswer: 21*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/((o**(2\/13)\/o)\/o)))\/o)\/o**(-33)*(o\/(o*o**(-6\/5)))\/(o\/(o*o**23)))**(2\/25) assuming o is positive.\nAnswer: o**(7066\/1625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 289*b**4 + 3*b**3 - 1927 - 204*b**4 - 83*b**4 + 2*b as u*b**2 + y*b + s + m*b**3 + j*b**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29459 = -807*j + 33073 - 3621 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 6) to base 10\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*g*y**2 - 17375*g*y - 6331892*y**2 wrt g?\nAnswer: 25*y**2 - 17375*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 - 28*u - 4. What is r(22)?\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 236345 + -6?\nAnswer: 236336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15251693.\nAnswer: 15251693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 4. Let q be v(3). Let u = -65 + 64. What is the nearest to 0 in q, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 10 = -4*o + 4*i, o - 5 = -2*i. Let u = o + 1. Differentiate 0 + 17*b + u + 18 wrt b.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 * -0.05.\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4255955263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2454*q**2 - 220*q + 2424*q**2 - 4876*q**2.\nAnswer: 2*q**2 - 220*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13881 + -9307. What are the prime factors of v?\nAnswer: 2, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*p - 1045, 5*b + 699 = 2*p + 2*b. Suppose 5*s + x = p, 3*x = x - 4. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.46 - 3.6. Is -0.1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -250048 + -19?\nAnswer: -250067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 572714839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 133003848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 3*g + 12, 20 = 4*g. Solve 3 = -2*u - w*y, -2*u = -4*u - 2*y - 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*d - 5*v + 6*v + 192 - 24, 14*d - 5*v - 566 = 0 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 9165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 29933.8063 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/3*(-26)\/(-2574)*9.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 8*j**2 + 4*j + 10. Let v be f(7). Is (v\/2)\/(2\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) 18 (c) 5 (d) -3 (e) -212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(272))*-3)**2 - (-1 + sqrt(17))*-4.\nAnswer: 4*sqrt(17) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zvzzvzzivvzvvxzzvvvi. What is prob of sequence xvvv?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 1:07 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795653211.\nAnswer: 3, 265217737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37.7 + -37. Let l = -0.9 - f. Let n = -0.4 + l. What is the second biggest value in n, -2\/11, 1\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 4. Let r be c(8). Let j be 6\/(-5)*r\/6. Suppose 1 = -j*m - 11. Which is greater: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3508816174 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**5*q + 1683*b**3*q - 187*b**2*q + b**2 + 3*b*q - 36*b wrt b.\nAnswer: -180*b**2*q + 10098*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 5:36 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 a when three letters picked without replacement from {a: 5, m: 8}.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (4 + 7) - 37 - 21?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 235734409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 - 177*m**3 + 178*m**2 = 0 for m.\nAnswer: -178, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35*1 + -1 + 6. Determine f so that -22*f**3 + 13*f**2 + 11 - 4*f**2 + c - 99*f + 36*f**2 + 25*f**3 = 0.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = s + 10. Suppose -5*q = -s*q + 58. Suppose 11 - q = -3*u. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 19. Put z, -5, 1, -1 in ascending order.\nAnswer: -5, -1, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/(-2))\/(24\/112*(-1)\/((-51)\/(-119))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -1006382?\nAnswer: -1006382.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + q - 2 = -6, 2*w - 5*q + 16 = 0. Suppose 5*h + 2*n - 29 = 0, -12*h + 17*h = -5*n + 20. Calculate the least common multiple of h and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55155141 (base 6) to base 7\nAnswer: -20003464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*d - 13, 4*x - 3*x - 2*d = 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 10 = 0, -28 - 2 = 5*j - 4*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2) + 2*2. Suppose -7*h + 3*h + 24 = -4*d, 4*h = 2*d + 16. Solve -h*w + j = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1076 - 539 + x - 537. Let s(c) = 31*c. Give w(s(b)).\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -k - 3, -130 = -2*k - 138 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 615500 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 1. Let y(v) = -10*v**2 - 4*v - 6. Calculate 5*r(a) + y(a).\nAnswer: -5*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3944591, 3944533, 3944475, 3944417?\n\"Answer: -58*g + 3944649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - 0.27. Let x(w) = -2*w**3 - 28*w**2 + w + 15. Let a = -51 - -37. Let j be x(a). What is the closest to 0 in b, 3, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trrttttttttt. Give prob of sequence tr.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 3 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 218339743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:33 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmmmmsmssvmmmmmmmm. What is prob of sequence mm?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b5a9 (base 16) to base 7.\nAnswer: -644436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 646.8 + -645.8. Put 0.11, f, -2, -5 in descending order.\nAnswer: f, 0.11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:02 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -12 - (-889 - -901).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -52\/11, 0, -0.2, 5\/2 in increasing order.\nAnswer: -52\/11, -0.2, 0, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 3*w + 33. Let d be p(6). What is the biggest value in d, 1\/4, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034030228 to six dps.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -11, 174, -1\/2, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 2*o - 0*o. Let d = -84 + o. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2371, -95, -2561, -5027, -7493, -9959?\n\"Answer: -2466*a + 4837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -2*x**4 + 6*x**3 - 2*x**2 - 95. Find o such that v(o) = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28166, 28165, 28162, 28157, 28150, 28141, 28130?\n\"Answer: -y**2 + 2*y + 28165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492 = -49*r + 149 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.2152\nAnswer: -0.06456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*x + 10, 4*q + 15 = -x - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/5 and (-2)\/11 + (-6)\/(9900\/723).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x - 56. Suppose -2*f = -4*s - 76, -2*s - 8*f = -3*f + 26. What is a(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2 - j + 9. What is a(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.47 - 1.5. Which is the fourth smallest value? (a) p (b) 0.4 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33610 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 702.3483 - 138.\nAnswer: 564.3483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9549169.\nAnswer: 7, 53, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 5*p**2\/2 + 2*p + 2. Let a(u) = 6*u + 2. Let h(f) = -6*a(f) + 7*x(f). What is the units digit of h(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 + 177 - 40 - 1884*c)*(-2*c + 2*c**2 + 0*c**2 - 5*c**2).\nAnswer: 5652*c**3 + 3768*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = 2*t, t + 3*i = 5*i + 2. Suppose t = 4*b - 28. Let x(h) = h**2 - b*h + 3 + 0 + 3*h. Give x(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 185904, 371807, 557710, 743613, 929516, 1115419?\n\"Answer: 185903*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2 - 5*h + 2. Let l(q) = q**3 - 23*q**2 - 2*q + 51. Calculate the least common multiple of l(23) and a(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2158*g**2*u*y + g**2*u + g*u*y - g + 2*u - 1283*y wrt g?\nAnswer: -4316*u*y + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30981?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7\/5)\/(o\/(o\/o**28))*(o\/(o*o\/(o*o\/((o*o**(-27)*o)\/o))))\/o**(-25) assuming o is positive.\nAnswer: o**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:08 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**9*i**(-1\/7)*i\/(i\/(i**(-1\/27)*i)*i)*i**6\/i assuming i is positive.\nAnswer: i**(2612\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -223 + 228. Suppose 0 = 2*y + 2*y + 8, 0 = -5*b - y + 18. Sort d, -2\/3, 31, b in increasing order.\nAnswer: -2\/3, b, d, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -156 (c) -3.6839 (d) 0.1 (e) 2\/5 (f) -2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from mhhphmpp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 44848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose -283*x = -302*x + 475. Solve j = 3*c + 2*c + x, 22 = -w - 4*c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = 0. Let k(s) = -1 + o - s + 1. Let d(b) be the first derivative of -10*b**3\/3 - 30. Give d(k(u)).\nAnswer: -10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744 and 756?\nAnswer: 46872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*i - 42, 5*r - i - 93 = -0*i. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 14599.\nAnswer: 1\/14599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 423 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-3 - -2 - 3) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-221)\/26 - -7) + (-2992)\/(-1995). Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -1\/4, -4, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -50. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 829442074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z - 113*z + 33*z + 38*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-5)*10\/(-3). Let c be ((-336)\/756)\/(4\/(-4518)). Suppose -j*q + 2*q = -c. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 7*b**2 - 5*b - 2. Let j(t) = -t**2 + t. Let z be -5*2\/(-6)*3. Give z*j(c) + m(c).\nAnswer: c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -986 (base 10) to base 13.\nAnswer: -5ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6107539054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4585 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 y, and 1 h when four letters picked without replacement from hzpzvpyzpzvpzv?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 38496.8 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/2 + 36*w**4 - 147*w**3\/2 + 37*w**2.\nAnswer: w**2*(w - 1)**2*(w + 74)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 + 363*p**2 - 9951*p + 334. What is g(23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10375)\/498)\/(-125))\/(2\/(-516)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 7*d**2 - 6*d + 2. Let b be i(6). Let w(o) = -2 - 5*o**b - o**2 + 3 - o + 5*o**2. Give w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 165060100?\nAnswer: -165060106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:16 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z*z**14*z)\/((z*z*z\/((z**(-2\/3)*z)\/z)*z*z)\/z))**(2\/23))**(-41) assuming z is positive.\nAnswer: z**(-3280\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**7\/735 - k**6\/420 - 17*k**5\/210 - 5*k**4\/28 - 41*k**2 + 1. Find l, given that f(l) = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let h(f) = -169*f**2. Calculate h(d(y)).\nAnswer: -676*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/26 - (-11 + (-3100)\/(-130) + -13). Solve n = 13*m + 211 - 224 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96ad0 (base 14) to base 2.\nAnswer: -1011000111100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -4500406?\nAnswer: -4500403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3392 in decreasing order.\nAnswer: 3392, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 13*i + 6. Suppose 4*q = -5*q + 54. Let w be g(q). Let t = 41 - w. Solve -k - 1 - 2 = 4*n, 0 = 5*k - t*n + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/37063864 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5)\/((k*k**2)\/k))**0 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6456 + 7946. What is the highest common factor of 40 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:50 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - 4*d**2 - 8*d - 16. What is the units digit of y(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -0*y - 2*d - 18, -3*y = 4*d + 21. Let n(m) = -4*m**3 - 2*m**2 + 2*m + 2. Let f(j) = -3*j**3 - 3*j**2 + 3*j + 2. Calculate y*n(a) + 2*f(a).\nAnswer: 6*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:40 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -6*u + 74. Solve -u*f**2 + 20*f**2 + 5*f**2 - 3*f**3 = 0 for f.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:43 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68304 (base 10) to base 8.\nAnswer: 205320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16917623, -16917622, -16917621, -16917620?\n\"Answer: k - 16917624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 16 - 26. Put y, 2, 4 in increasing order.\nAnswer: y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -68.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*f + 0*f - 4*f**5 - 12*f - 3*f**5 wrt f?\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 - 40) + 2 + 0 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 3*k - 2*k)*(-3 + 6 - 4)*(-129246*k**2 - 136769*k**2 + 289127*k**2) as c*k**3 + v*k**2 + m + b*k and give c.\nAnswer: 46224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 150 + -101 + (-1 - (0 - -10)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**2 + a. Determine y(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 3, -40, -117, -240?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - -4*(sqrt(128)*2 + sqrt(128))) + 2)**2.\nAnswer: 416*sqrt(2) + 21636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*(w*w**(1\/37))\/w)\/w))\/(w**(-4\/27)*w) assuming w is positive.\nAnswer: w**(121\/999)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/15)*(c**(-8)\/c)\/c)**(3\/22))**(-4\/5) assuming c is positive.\nAnswer: c**(292\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70388 by 4.\nAnswer: 17597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*r - 373 = 51*r + 763. What is the remainder when 1014 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84157539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 13 = -c, -3*c = 2*y + 3 - 2. Suppose c*f - 2*f = w + 2, -w = 2*f + 5. Let h = f - -20. What is the greatest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2134 - 5.2134. Which is the third biggest value? (a) -170 (b) m (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*j - 3 = 0, 2*a + 2*j - 12 = -0*j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, -2\/5, 5, -127 in ascending order.\nAnswer: -240, -127, -2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3674.384 years to decades.\nAnswer: 367.4384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q + 7300 = -3*q. Factor 108*v - 36*v**2 - 46 - 62 + 151*v**3 - q*v**3 + 145*v**3.\nAnswer: 4*(v - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*l - t - 6, 3*l - 5*t = 23. Solve 0*k = -2*k - z + 13, -2*z = -l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.33 + -0.287. Let t = -10064\/16765 - -1\/3353. Which is the closest to t? (a) o (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 122089 and -0.5?\nAnswer: -61044.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 - 129. Which is the nearest to k? (a) 2 (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -7\/27, 0, 5, 0.2, -3, -18\/31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2863 is divided by 554.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3241145 to the power of 1\/2, to the nearest integer?\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 6372*w\/7 - 3968226\/7.\nAnswer: -2*(w + 849)*(w + 2337)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.83 + 6.83. Let r = -38.5 - -39. What is the nearest to 136 in w, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 872, 991, 1314, 1943, 2980, 4527, 6686?\n\"Answer: 17*q**3 + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -97 + 69.5. Let x = a - -27.4. Let q = 6 + 12. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16323402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -855683\/131 + 6532. Let p = 5964772 + -4688316217\/786. Let t = y + p. What is the common denominator of t and 23\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.76 - 38.2. Put 1, 0, -2\/7, j in descending order.\nAnswer: j, 1, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185803094?\nAnswer: 2, 1669, 55663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1041641875 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 1:11 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {o: 1, e: 2, q: 4, u: 4, f: 1, y: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n. Let j(w) be the first derivative of -w**2 + n*w + 2 + 0*w**4 + 1\/5*w**5 + 0*w**3. What is the second derivative of j(z) wrt z?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-30 - 33 + 5)*(-2*a - 3 + 3) - a + 3*a - 3*a + (3*a - 3*a - 2*a)*(3 - 1 - 1) + a - 2*a + 0*a - 3*a + 2*a + 3*a)*(3*a - 22*a - 28*a).\nAnswer: -5358*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10471355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 110 = 3*p. Calculate the remainder when p is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011110011110 - 1100?\nAnswer: -1001011110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1891, -3850, -5817, -7798, -9799, -11826?\nAnswer: -13885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Suppose -3*q + 21 = 2*s, 5*q - 13 = 2*s + 2*s. Let k(n) = n - q - 3 + 8. Give k(u(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2*p**3 - p**2 - 29*p**4 + 2 + 2 + 18*p**4 to the form k + o*p + m*p**4 + q*p**3 + u*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d**2 - 266*d - 3183. What is k(-12)?\nAnswer: 1881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 322 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a = 18*a + 300 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 1. Let a(f) = -9*f - 18. Let o(s) = 9*s + 13. Let k(h) = 3*a(h) + 4*o(h). Give k(q) + 2*p(q).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/2*-2 - -19. Suppose -2*b + 40 = -v. Let p be (1 - 46\/(-4))*56\/10. Calculate the highest common divisor of b and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3551, -14140, -31789, -56498, -88267?\n\"Answer: -3530*c**2 + c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16192 + 25934. What is the remainder when g is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -138*l - 1215. Let d be u(-9). Calculate the highest common factor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21750 (base 11) to base 13.\nAnswer: -11463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = d - 1, 5*h - 723 + 734 = -3*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m - 36. Calculate the remainder when 42 is divided by c(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 143.675 to 0 dps.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*b = -76*b - 26829. What are the prime factors of b?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*l + 1700. Suppose 0*a + 2*a - l = 0. Suppose 6*b - b = a. Calculate the smallest common multiple of 8 and b.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.9913119 rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 = -3*i + 5, -2*i = 4*q - 22. Suppose 0 = -3*k - 4*x + 14763 + 4129, k + i*x = 6290. Round k to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330) + -5*-2*sqrt(330))\/(sqrt(384) - sqrt(384)*-1))\/((sqrt(125) + -4*sqrt(125)*-5 + sqrt(125) + sqrt(125))*-3).\nAnswer: -11*sqrt(11)\/5520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5624?\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -15, -21, -29, -39, -51?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -z + 15, 252*j - 256*j + 5*z - 27 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -49, 12, 75, 146, 231, 336, 467?\n\"Answer: s**3 - 5*s**2 + 69*s - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.6. Let c be 1\/(((-2)\/4)\/(-1)). Let d be c\/(-4)*(-24)\/3. What is the biggest value in d, -1, p?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54 - 1)*-1*(-160)\/(-200). Let w = i + -41. Suppose -2*h + w*u = -10, 3*h + 10 = -2*u - 1. Which is the closest to 0? (a) -0.06 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 862*s**2 + 79268*s.\nAnswer: 2*s*(s + 133)*(s + 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*66\/12 - 6. Suppose w*f - 2973 = 327. What are the prime factors of f?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1743\/140 + -11 + ((-217)\/(-28) - 9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u. Let h(g) = g. Let b(v) = -24*h(v) - 3*w(v). Let s(k) = -k + 1. Let l(a) = 30*a - 25. Let i(t) = -l(t) - 25*s(t). What is b(i(r))?\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*f + 1079, 0 = -2*p - 3*f - f + 2166. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70476*k**2 - 140891*k**2 + 70416*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 5*f**4\/4 - 15*f**3 + 15*f**2 + 280*f + 2. What is v in a(v) = 0?\nAnswer: -2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3802 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38623 is divided by 9563.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**18\/(k**(-10)*k) assuming k is positive.\nAnswer: k**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/83535290 and 71\/33414116?\nAnswer: 167070580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3191, 25873, 87495, 207533, 405463, 700761, 1112903, 1661365?\n\"Answer: 3246*k**3 - 6*k**2 - 22*k - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 10\/7, -0.4, 4, 7.\nAnswer: -0.4, 1\/3, 10\/7, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 798\/2128*20\/(-6)*10.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 19. Let d(u) = u**2. Determine m(d(h)).\nAnswer: h**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 + -52. Let f = m - 66.252. Let q = f + 0.25. What is q rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30012223 (base 4) to base 14\nAnswer: 140d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i = 21*i + 350. Let j = 74 - i. What is the derivative of 1 + 10 - 18 + j + 44*l**2 wrt l?\nAnswer: 88*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-6)\/(-5)*35\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 404280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29536 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17 - 19 - 2*u + 66. Let n be m(15). Suppose 32*i - 37*i = n. Solve -q - 2*q + 9 = i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 10. Let z(s) = -s**2 + 38*s - 6. Let h(y) = -6*y**2 + 205*y - 30. Let u(p) = 2*h(p) - 11*z(p). Is u(a) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**2*g**3*p**2 - 760*b**2*g**3*p + 7*b**2*g**2 + 5*b**2*g - b**2*p**2 wrt g.\nAnswer: -6*b**2*p**2 - 4560*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.77154 centimeters in nanometers?\nAnswer: 137715400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. Suppose -3*y + m*y - 2 = v, v = 5*y - 10. Factor -2\/7 - 2\/7*o**3 - 6\/7*o**y - 6\/7*o.\nAnswer: -2*(o + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87 and 4154.\nAnswer: -361398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:52 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -176662495 divided by -5?\nAnswer: 35332499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61.5 + -58.5. Let k(a) = a**2 + 6*a + 4. Let h be k(-4). What is the smallest value in h, p, 0.5, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*q**6*r - 4239167*q**6 + 2*q**2*r + q**2 - 67*q*r - 93*q + r - 1458 wrt q?\nAnswer: 5040*q**3*r - 508700040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 27. Calculate the smallest common multiple of 9 and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m + 9*m - 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-7) - 12\/(2 - 5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfxxxxxbffbxfxbb. Give prob of sequence bxff.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1304329.49 to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1.56, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25237 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13316364 (base 7) to base 14.\nAnswer: -240b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 853*c**2*f*j - 54*c**2 - 6*c*f + 2*c*j + 40*f*j + f - 7*j wrt c?\nAnswer: 1706*f*j - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 14, 5\/3, 1, -0.5 in ascending order.\nAnswer: -15, -1, -0.5, 1, 5\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3 + -3*sqrt(1539) - -1*(sqrt(1539) + -3)) + (sqrt(1539) + 0)*-6 + sqrt(1539) + 1 + -3 + sqrt(1539))**2.\nAnswer: -221872 - 3456*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - i - 6, -5*i = -5*j - 9*i + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2 (b) 59\/4 (c) 318 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 75*m**3 + 0.\nAnswer: 75*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -77\/27 (b) 1 (c) -3\/209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2932426096 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: Solve 35*b + 87 = 47*b - 57 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 257, -7, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 928.4104ug?\nAnswer: 0.0000000009284104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -24*c + 78 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 391 and 207?\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 580.56 in -0.4, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/((-36915)\/(-5244) + (-3)\/(-9)*-21)?\nAnswer: -38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 4*x**2)*(168*x - 51*x**2 - 325*x + 155*x) to the form v + y*x**2 + h*x**4 + d*x**3 + b*x and give h.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 45, 91, 175, 309, 505, 775?\n\"Answer: 2*i**3 + i**2 + 3*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41202)\/24 - 12\/(-16). What are the prime factors of (21\/2)\/((-117)\/d)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37628277*q + 37628277*q + 7*q**2 + 5.\nAnswer: 7*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3 - 466648*d**2 - 54440555621*d - 108879244658 = 0. What is d?\nAnswer: -233323, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + -13. Let i = -7 - f. Suppose -3*a + 2*a + 9 = 0. Calculate the remainder when i is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*z + 84 + 24 = 15*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvevvveeveev. Give prob of sequence veee.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15142*c**3 + 11967*c**3 - 42252*c**3 + 15145*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 - 1424*k - 10164.\nAnswer: 4*(k - 363)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/6468 and -11\/7.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -6 + 0*n**2 - 13\/3*n**3 + 0*n. Let d(i) = -7*i + 5. Let k(p) = 3*p - 2. Let g(a) = 2*d(a) + 5*k(a). What is l(g(b))?\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8758104?\nAnswer: 2, 3, 364921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 32. Let m = n - -20. Does 20 divide ((-39)\/(-12))\/(5\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 - 15*g**4 + 15*g**3 - 5*g**2.\nAnswer: 5*g**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -17654?\nAnswer: -17650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 78 = 5*r. Suppose -2*v = -2 - r. Let b be 27\/26 + (-62)\/1612. Solve -5*q - v = b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191754 and 38637?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - 14*9\/(-18). Let a(b) be the second derivative of 1\/6*b**6 - 1\/4*b**5 + q - 5\/12*b**4 - 14*b + 0*b**2 + 5\/6*b**3. Determine r, given that a(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18070 and 17940.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, x: 5, d: 1}. Give prob of sequence xn.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 69 - 2*q - 69 + 3*q. Let t(l) = -12*l - 3. Give -3*a(g) - t(g).\nAnswer: 9*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -190 - 0.1\nAnswer: -190.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.07, 1, 15\/2, -4, 2 in decreasing order.\nAnswer: 15\/2, 2, 1, -0.07, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5.971 + -1719553972\nAnswer: -1719553977.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117\/7 + (2 - 11\/7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, x: 1, s: 3, p: 9}. Give prob of sequence mp.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1 + 76\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(12) - sqrt(3)))**2*1 - (sqrt(192) + sqrt(192) + -4 + sqrt(192))**2.\nAnswer: -1744 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(343) - sqrt(7)) + 1.\nAnswer: 1 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 3*h**6\/40 + 31*h**4\/24 + h**3\/3 + h**2 - 2. What is the second derivative of l(f) wrt f?\nAnswer: 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 3*g - 10*c + 8, 5 = -3*g + 2*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 306753289 to the power of 1\/2, to the nearest integer?\nAnswer: 17514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 7 = 4*c. Let j(l) = 17*l - 9. Let s(w) = -36*w + 19. Let v(d) = 13*j(d) + 6*s(d). Determine v(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 3*a + a. Let t(d) = d**2 - d + 1. Let g(j) = -6*j**2 + 5*j - 5. Let m(r) = 3*g(r) + 15*t(r). Give m(w(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6000 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q - 1 - 5 - 14. Let y be m(8). Let 1\/2*p**2 + 1\/6*p**y - 2\/3*p - 2\/3 + 2\/3*p**3 = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/20*-1)\/((-4)\/(-16)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8802217*x**2 + 5705290.\nAnswer: -17604434*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1643 and 0.01?\nAnswer: 16.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(-12)*900\/240. Sort 2, q, -2, 0, -3.\nAnswer: -3, -2, 0, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 0. Suppose h*z - 6*z = 0. Suppose z = 3*s - 3*o, 3*s - 4*o + 8 = o. Solve s*k + 0*k = -x + 9, -17 = -4*x + 3*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 12\/4 - (5 - 4). Let k(v) = 666 + 7*v + 2*v**2 - 671 - v**s. Give k(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111000101111010101011 - 100011?\nAnswer: -10111000101111011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -21*f + 10. Let l(x) = 2*x**f + 8*x + 10*x - x**3 - 16*x + 8. Does 32 divide l(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**3 - 2*h**2 + 5*h - 3. Is u(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175051 is divided by 410?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.738567 weeks?\nAnswer: 1132.079256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -3, 6, 4, -678 in decreasing order.\nAnswer: 6, 4, 3, 0, -3, -678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35840531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from pppppprpppppprpprp?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2618334 (base 11) to base 12.\nAnswer: 16285a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -1938*h - 54. Let i be 3*((-110)\/(-15) - 7). Let d be f(i). Round d to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(28)\/(sqrt(24)\/sqrt(6)))*-3.\nAnswer: -3*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**5\/2 - 390*w**4 + 31275*w**3\/2 - 250125*w**2 + 1796250*w - 4837500 = 0. Calculate w.\nAnswer: 10, 15, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 + -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - h - 3802, -5*b + 5*h + 3793 = h. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, -27, 26.\nAnswer: -27, 26, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 = 15*v - 573. Let h be 2*-2*1\/(-2). Suppose -4*b + v = 2*n, 58 = 2*b + h*b + 3*n. Calculate the remainder when 77 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 795090631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -360*u + 362*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8a122 (base 13) to base 12\nAnswer: 10107b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 1, v: 2, l: 1}. Give prob of picking 1 x and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40382610 is divided by 71.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 2:11 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**2 + i. Let h be u(-2). Suppose -800 = 2*j - 7*j - 5*x, 4*x + 332 = 2*j. What is the greatest common factor of h and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = 4. Suppose 0 = 5*u + 6*k - j*k - 448, 0 = -4*k + 8. Suppose 0 = -3*i + 4*i - 30. Calculate the remainder when u is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 98388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of f**7\/630 - f**6\/180 + f**4\/4 - 9*f. Let k(x) be the third derivative of m(x). What is the second derivative of k(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 30. Suppose v - 31 = -2*v + 4*g, 4*v = 2*g + 48. Let b be n(v). Is b + (-5 - -23) - 2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*y + 3, 0*u - 4*u + 13 = -y. Suppose -a - 4 = 0, -u*p + 4*a + 38 = -606. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.567109 months to centuries.\nAnswer: 0.0021392575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -27. Let b = r - 12. Let s = b - 14.0000008. What is s rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*q**3 - 37*q + 3168 wrt q.\nAnswer: 15*q**2 - 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 8*l + 2. Let g be w(-7). Let o = 3 - g. Let z = -5 + o. Solve -2*n - z*u = -4*u + 10, 3*u = 5*n + 27 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/5))**(-47)\/(o**(2\/29)*(o*o**5)\/o))**(2\/45))**(-17) assuming o is positive.\nAnswer: o**(71332\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*c**2 - 2422299 + 0*c**2 + 4*c + 2422299 - 79*c**3 to i*c + q*c**2 + v + r*c**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + -122613564?\nAnswer: -122613612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 123707419.2 rounded to the nearest 100000?\nAnswer: 123700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 43 = 5*t, -4*t + 8 = -5*u + 31. Solve 8 = 3*g - u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*q + 131, q - 3*g = 11 + 22. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -2*x**3\/9 + 2*x\/3 - 10. Find d, given that z(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.016547 millennia to years.\nAnswer: 16.547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)*54 + 1. Suppose 80*l = 15*l + 1404 + 2041. Solve -o = p - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*k - 4 + 4*k)*(2 - 5 + 1).\nAnswer: -2*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**3 - 2*m**3 + 4*m**3)*(13192 - 1426*m - 13194 - 2924*m) to the form o*m + q + x*m**2 + t*m**4 + a*m**3 and give t.\nAnswer: 4350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(((-20)\/(-24))\/1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o + 3. Let h(d) = 2*d - 1. Suppose -j + 25 = 3*r, 0*r - 5*j = -5*r + 35. Let q(g) = -g + 10. Let l be q(r). What is l*t(s) + 5*h(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 237259744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 - t. Let i(w) = -2*w**3 + 7*w**2 + 6*w + 4. Let c(r) = -5*r**3 + 16*r**2 + 13*r + 8. Let a(s) = -4*c(s) + 9*i(s). What is -a(o) - q(o)?\nAnswer: -o**3 - o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1085163743 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) - (0 + sqrt(637))).\nAnswer: -6*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.042 (b) 2\/59 (c) -6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l + 16*l = 5, -4*f + 7 = l. Suppose 2*a - 3*a - 113 = 0. Let d = -78 - a. Calculate the least common multiple of d and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 42*b**2 - 5339*b + 609. Determine n(127).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 53686700 to the nearest one million.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 7*n + 8. Let a be k(-6). Suppose -5*m = a*x - 33 - 98, x - 25 = -m. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15367 + -4?\nAnswer: -15371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856.486kg in tonnes?\nAnswer: 2.856486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssmmsss. What is prob of picking 2 m and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -145, -1144 in decreasing order.\nAnswer: 3, -1, -145, -1144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/((-5)\/(15\/6))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75 and 3?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6267*z + 997996 = 4*o - 6270*z, -4*z = -3*o + 748511. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(-30)*(0 - 5). Let t = -2 + -1. Let b be t + -1 + 2 - -24. Solve -y + 2*d + 16 = -s*y, -y + 5*d = -b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -689189\/30 - -22975. What is the common denominator of (47\/(-44))\/(3\/4) and z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 7*o**2 + 5*o - 4. Calculate n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -264292 * 1\nAnswer: -264292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*((-690)\/(-9) - 1). Suppose -a = -13*w + 12268. Let c = w - 712. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(5\/(50\/(-4))). Suppose 0 = -3*c + p + 4. Suppose c*x = -0*x + 12. Solve x*n + 2 = -18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-35) + (2 - (-24)\/(-10))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:51 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6247)\/(-8) + 4\/32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v**3 - 5*v**2 - 4*v. Suppose -f = -2 + 3. Let d(i) = -i**3 - i**2 - i. Let t(c) = f*x(c) + 3*d(c). What are the prime factors of t(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y + 7. Let i be k(0). Suppose v = -2 + i. Let l = -18 - -21. Solve -3*d = 3*u + l, -v*d + u = -2*u - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 - 5*a**2 - 9 - 12*a - 6*a**2 - 5*a**3. Let m(n) = -n**2 + 19*n + 5. What is the least common multiple of l(-10) and m(19)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**6\/120 + j**5\/15 + j**4\/24 + j**3\/2 + j**2. Determine z(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 14*n**2 - 30*n + 5. What is the remainder when b(9) is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1054993\/6 (b) -0.2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 130 + -85. Suppose -3*s - 2*s + v = 0. Suppose 15 = 2*k + k. What is the least common multiple of s and k?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 227*h**2 + 401*h + 13010. Let n be t(229). Let l be 3\/6*(1 + 1). Sort -4, l, n in increasing order.\nAnswer: n, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -25*a**2 - 1860*a - 17956. Calculate q(-63).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**2\/2 - 4*o + 1. Let b be j(-4). Factor q**3 + q**2 + b*q + 0*q.\nAnswer: q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 14. Suppose s + 54 = 5*p, -p - p + s = -21. Let w be u(p). Let n(g) = g**2 + 12*g + 37. Let o be n(w). Solve o = 4*k - 6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-12)\/9 + -12. Let o be 2\/(-5)*(-80)\/h. Let i(j) = -9*j + 3. Is 13 a factor of i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*p - 729 + 46, -4*x = -3*p - 547. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = -2*k + 4*k, 2*k = l + 8. Suppose k*j - 8 - 2 = 0. Suppose -j*i + 0*i + 168 = -5*s, 0 = 3*i + s - 269. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-708)\/(-10)*5\/4*(-222)\/(-333)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - (sqrt(152) - 2*sqrt(152)))*2 + sqrt(152) - sqrt(152)) + sqrt(152)*1*1)\/(sqrt(200)*-2*-1).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9291577 divided by 48647\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 15*f**2 - 7*f + 4. Let v be k(8). Let g = v + -8. Suppose -g*h + 688 = 108. Calculate the remainder when h is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4273, 8509, 12695, 16825, 20893, 24893, 28819?\n\"Answer: -t**3 - 19*t**2 + 4300*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.736 - -237211143.\nAnswer: 237211142.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39642 - -43398. Calculate the greatest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 648, 705, 868, 1191, 1728?\n\"Answer: 9*q**3 - q**2 - 3*q + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 2d8?\nAnswer: -2cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -2*g**3\/3 - 3*g**2\/2 + 3*g. What is u(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1735 - 18523. Let o = -20236.682 - g. Let c = o - 21.1. Round c to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -32\/3 - 52\/3*u - 2\/3*u**3 - 22\/3*u**2 = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 4. Let x(j) = -4*j + 9. Let f(m) = -9*w(m) - 4*x(m). Let n(s) = -2 + 1 + 1 + s. Calculate n(f(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 224 in -231.4, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 0*i**4 - i**4)*(0*i - i - i) - i**5 + 0*i**5 + 2*i**5 + 8*i**5 - 1 + 1 + (700 - 700 + 10*i)*(-5*i**4 + 3*i**4 + 3*i**4).\nAnswer: 21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/10387 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*w + 39*w - 15*w)*((-w + w - w**2)*(-3 - 1 + 2) - 2*w**2 + w**2 + 0*w**2) as f*w**2 + g + m*w**3 + i*w and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 130965123 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1\/2 (b) -2\/11 (c) 3\/8 (d) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 22 = -5*f, -2*f + 3*g + 6 = -12. What is the least common multiple of 33 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p + 3066. Let n = p - -150. Let i = -4220\/3 - n. What is the common denominator of i and -35\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2761 times 4.7?\nAnswer: 1.29767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 o when three letters picked without replacement from csccscosccossc.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 - 2. Let c(t) = -6*t**2 - 3. Let d(y) = 2*c(y) - 3*v(y). Let b(j) = 0*j**2 - 1 - 2*j**2 + 1. Calculate b(d(i)).\nAnswer: -18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/120 - t**5\/3 - 3*t**4\/4 + 23*t**3\/6 - 11*t**2. Let v be z(-19). Let r(b) = -b - 132 - 133 + 403 - 137. What is r(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -13. Let s(u) = u**2 - 3*u - 1. Let t be s(l). Suppose -3*m = -5*r - t, -r - 8 = r. Is 1\/4 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**3 + 11*d - 11*d + (0 - 1 - 1)*(-d**3 - 3*d**3 + 9*d**3).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -1. Calculate the least common multiple of n and ((-10)\/(-6))\/((-9)\/(-27)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1738766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14335*i**6 + 39474*i**2?\nAnswer: 1720200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 9) in base 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 968*k**2 - 60452*k + 226576.\nAnswer: -4*(k - 119)**2*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 2*r**2 + 3*r**2 + r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/114 and -23\/240?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173*q**4*s - q**4 - 3*q**3*s + 162*q**3 + 37*q**2 + 6*q*s + 202*q - s wrt q?\nAnswer: -4152*q*s - 24*q - 18*s + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-20)*6\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (25\/(-3))\/(((-954)\/(-39413520))\/53). Round b to the nearest one hundred thousand.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*v**2 - 1 + (-2*v - 20*v + 2*v + (-3 - 1 + 2)*(3*v + 0*v - 2*v) + 1 - v - 1)*(v - 3 + 3) as c*v + g*v**2 + z and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 2*n - 5. Let x be ((-24)\/9)\/(4\/(-6)). Let f be s(x). Factor 5*z**3 + 5*z - z**f - 1 - 6*z**2 - z - z**4.\nAnswer: -(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/12 + 9*s**3\/2 + 19*s**2. Let d be r(11). Suppose 0 = 2*k + 3*k + 20, 2*l + d*k = 300. Is 34 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 57*h - 1482. Let r be q(26). Let b(c) be the second derivative of 10*c + 1\/78*c**4 - 2\/39*c**3 + r + 0*c**2. Solve b(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*j + 7*j - 5*d, 3*d + 214 = 10*j. Solve x - j = -5*f, 2*x - 14 = 5*f - 9*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 take away 4399.006?\nAnswer: -4399.706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 207*d**2 + 15*d - 21. Let m be p(1). Solve -m*x = -192*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180122*-1.1\nAnswer: 198134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -595*z**3 - 2214*z**2 + 30*z - 3. Let y(q) = -593*q**3 - 2214*q**2 + 20*q - 2. Let a(i) = 2*c(i) - 3*y(i). Find the third derivative of a(g) wrt g.\nAnswer: 3534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -579 or -357418\/617?\nAnswer: -579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffafyta. What is prob of sequence fta?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1179*l = 1226*l + 94. Let i(s) = 12*s**2 + 4*s + 13. Let r(m) = -4 + 2*m + 2*m - 5*m - 4*m**2. Give l*i(h) - 7*r(h).\nAnswer: 4*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 18151415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 0*t**2 + t**2 + 16 - 14*t - 4 + 4*t. Let r be c(9). Solve 2 = r*x + 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 44 + 24 - 41*u in the form f*u + h and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 4, x: 2, n: 2, y: 1}. What is prob of sequence nh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**5\/40 - 145*j**4\/32 - 299*j**3\/24 + 729*j**2\/16 + 441*j\/4 + 1944. Suppose p(n) = 0. What is n?\nAnswer: -3, -1, 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4012, -4033, -4068, -4117, -4180?\n\"Answer: -7*n**2 - 4005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w + 9*w = -3*f + 4, -2*w - 3*f + 11 = 0. Find the common denominator of (-3*(-49)\/252)\/w and 97\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80923176 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhd when four letters picked without replacement from {d: 1, x: 2, i: 7, u: 1, o: 1, h: 5}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -92*i + 113. Is w(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 1, c: 1, h: 2, v: 1, d: 3}. Give prob of picking 2 d and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1)*b)*b)**12*(b*b\/b**3)\/b*(b**(-5)\/b)\/b)\/((b\/(b\/(b\/(b*b*b**(-1\/6)))*b))\/(b**(2\/7)*b)*b**7*(b**(-1\/5)*b)\/b) assuming b is positive.\nAnswer: b**(2377\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 37 + 0 = -4*q, 2*q - 4*u = -14. Suppose 4*k + 1 = -q*i, 4*k - i + 3 = -18. Let w be 3 - 5 - (-5)\/1. What is the nearest to -1 in k, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227661527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, -3, 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2 + (1 + 1 + 1)*(-23 + 6 + 4))*(-2*h + 3 + h - 5) to the form d + y*h and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 2, 1, -0.0240531?\nAnswer: -0.0240531","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 456 and 14784.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 4*b - 8. Let g(z) = -2*z**2 + 7*z - 15. Let m(s) = -6*s. Let c be m(-1). What is c*g(o) - 11*j(o)?\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -b + 2, -b = 2*t - 9. Put -4, b, 1, 2 in decreasing order.\nAnswer: 2, 1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = 13*g - 6. Which is smaller: g or -1\/43?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -7 + (-10 - 1) + (-60)\/(-2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 244 + 114)*(2*t - 4 + 4).\nAnswer: 612*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 103893a2 - -6?\nAnswer: 103893a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 10:03 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 9:19 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/2 - 297*x\/2 + 9850 = 0. What is x?\nAnswer: 100, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -1)*6\/9. Let w be 29 + p - (0 - 1). Suppose -3*c + 7 = -w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from narrrrrlllra. Give prob of sequence rara.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203370312 to the nearest integer?\nAnswer: 14261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-65))\/(68\/10)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5*h**3 - 7*h**2 + 7*h + 6. What are the prime factors of s(7)?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1336.\nAnswer: 1336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11098*w**3 - 12226.\nAnswer: 33294*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217366 - 151869. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18252\/2015)\/18 + (0 - (-33)\/(-55))*1?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 831\/27 - 8\/(-36). Let w(k) = 3*k + 7. Let h be w(-5). What is the remainder when 109 is divided by d + 0 + (h - -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12227*m - 3629*m = -1290*m + 314630 + 318202 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 + u**5 + 189*u**3 + 2325*u**2 - 2?\nAnswer: 120*u**3 + 60*u**2 + 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -150689888350.\nAnswer: -150689888350.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u**3 + 3*u**2 - 4*u + 5. Let a(z) = -3*z**3 - z**2 - 3*z + z - 2*z + 6*z - 2. Let q(o) = -9*a(o) - 4*n(o). Let c = 3 + -5. Determine q(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f = 6310. Let h = -2047 + f. Suppose 15*j = 11*j + h. Is 39 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 4. Let v = 1.12 - f. Let n = 0.12 + v. What is n rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*6\/(-6)*2*(-13)\/78*-6?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 10*b + 10. Let x be p(-10). Which is greater: x or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 17*u + 35. Let p be n(-6). Solve -8 + 1 = m - 2*v, 17 = -p*m + 4*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1986 and 25696192.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2*(11907\/(-18954) - (-8)\/13).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**3 - 3*d**2 - 3. Let k(a) = -a**2 - 1. Suppose -6 = f + f. Suppose -145*g + 544 = 515*g - 116*g. Give f*k(r) + g*q(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -112\/5. Let b be (3 - 1)*(-3)\/(-3). Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5141 - 21?\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 6. Calculate o(10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 320, 727, 1222, 1805, 2476?\n\"Answer: 44*d**2 + 275*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (14 - 2) + -9 + 8 + 10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-48))\/(-15 - (-14016)\/936).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 9*k - 7. Let c be p(11). Suppose 0 = 5*t + c. Let y be -2 - (0 - -2)*t. What is the nearest to -0.1 in -2\/17, 2, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06543, -3, -2\/5 in ascending order.\nAnswer: -3, -2\/5, -0.06543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574317*w**2 + 574317*w**2 - 800*w**3 + 295*w**3.\nAnswer: -505*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4016107 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -23317, 2, 1 in ascending order.\nAnswer: -23317, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 193 + -194. Let v = f + 1.5. Which is the biggest value? (a) -7 (b) -2 (c) v (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -53. Let y be x\/(-4) - (-1 + 0). Let p be (-8)\/(-36) + (-2)\/9. Solve p*b - b + y = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = y + 3. Differentiate -72 + y + 16*o + 33 + 33 wrt o.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((5*(sqrt(304) - (sqrt(304) + -4*2*sqrt(304) - sqrt(304))) - -1*((sqrt(304) - (sqrt(304) + -1)) + 4)) + 2)*4)**2.\nAnswer: 1451520*sqrt(19) + 354613824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308104 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 21*v**2 - 21*v + 18. Let l be m(20). Put l, -15, 5 in increasing order.\nAnswer: -15, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14337, -4\/89, 4 in increasing order.\nAnswer: -4\/89, 4, 14337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + 95\/25).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -17. Suppose 0 = m - 3 + h. Let k(t) = t. Let f(r) = -3*r - 2. Let g(x) = f(x) + 2*k(x). Give g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 77 = 4*h, -f = 2*h + h - 56. Calculate the remainder when h is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -h + t - 4, 4*h + 5*t - 11 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**2 + 3*m**2 + 145*m - 142*m.\nAnswer: -18*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6077bb + 4?\nAnswer: 6077c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 11*n**2 + 583*n + 6 - 590*n - 13.\nAnswer: -11*n**2 - 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 94 - 14. Suppose 0 = 2*r - 4*h + j, 5*r + 3*h = -0*r + 25. Find the first derivative of -3 + r + 3*a - a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 365935 and 773435.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 211, 418, 617, 802, 967, 1106, 1213, 1282?\n\"Answer: -o**3 + 2*o**2 + 208*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let s(h) = -27 + 20*h + 8 + 6 + 11 + 3. Determine -2*j(i) - s(i).\nAnswer: -22*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1235*x + 207541. What is o(-168)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 3*u**2 + 5*u - 1. Suppose -q + 12 = 2*q. Let o be i(q). What is the third derivative of -13*x**o + 13*x**3 - x**5 + 2*x**2 wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2. Let v(w) be the third derivative of 10*w**2 + 0 + 0*w**3 + 0*w + 5\/24*w**4. Calculate p(v(i)).\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-205 + 3*t - 4*t + 166)*(-2*t**3 - 4*t**3 - 2*t**3) + 2*t**2 - 2*t**2 + 3*t**4.\nAnswer: 11*t**4 + 312*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (9 - (5 + 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.665972 minutes to hours.\nAnswer: 0.4777662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -0.11, 5, -15490, -2\/9, -5 in descending order.\nAnswer: 9, 5, -0.11, -2\/9, -5, -15490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 74096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsrusjjxmssx. Give prob of picking 1 x, 1 j, 1 r, and 1 s.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 219644 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: In base 8, what is 0 + -57454?\nAnswer: -57454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*g + 86*g + 47 + 3*g**2 - g**2 - 41*g + 0*g**2 - 7*g**3 as b + f*g + r*g**3 + w*g**2 and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 30*l + 126. Determine d(18).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 11 - 5*c + 4*c + 3*c. Let g be i(-13). Suppose p - 3 = g*k, -6 = 5*p - 4*k + 3. Let x(h) = -h**3 - 6*h**2 - 5*h + 7. Determine x(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o + 4. Let c be w(5). Calculate the common denominator of (140\/24 + -5)*(-151)\/5 and c - 73\/18 - (-37)\/(-111).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453685 is divided by 90734?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 7 = 2*d - 4*y, 2*y = 5*d - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {l: 3, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 + 5715*l**2 - 10887075*l + 6913292625 = 0. Calculate l.\nAnswer: 1905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*b + 6 - 34, -2*b - 34 = -4*n. Let u be (1 - 10)*n\/(-18). Solve 0 = -0*z - u*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2317 + -2139. Suppose 0 = -7*f + 3*f + 128. What is the remainder when s is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 103011802 divided by -46\nAnswer: -2239387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16240 and 435.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036879 rounded to 6 decimal places?\nAnswer: 0.000369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -297 - -301. Suppose -159 = -14*p - 201. Put v, -2, p, -4 in ascending order.\nAnswer: -4, p, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 551051, 1102106, 1653167, 2204234, 2755307, 3306386, 3857471?\nAnswer: 4408562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68426748 or -68426753?\nAnswer: -68426753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*(-86 - 73535\/(-847)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4062 or 3907?\nAnswer: 4062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85706 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2*k + 1. Let f(a) = a**2 + 2*a - 36. Let y(z) = -f(z) + 2*j(z). Is y(-17) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224472*d**2 - 358992?\nAnswer: -448944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - h + 5*h = 0, 0 = 2*h - 10. Suppose -t*v + 125 = u, 2*v - u - 58 = -3*u. Solve 4*c - 2*a = v, -2*a = c - 0*a - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - b + 6. Let i(x) = -2*x**2 - x + 6. Give 5*i(u) - 4*k(u).\nAnswer: 2*u**2 - u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1293 = -5*y, -4*q = -0*q + 3*y + 5240. Let z = -879 - q. What are the prime factors of z?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*b + 2*f, 3*b - 2*f - 17 = -7*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17243864 by -13514.\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3129*r + 12527. Determine h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 24. Let n = p - -19. What is the third derivative of -13*d**2 - 10*d**n - 7*d**3 + 45*d**2 wrt d?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22653 and 271836.\nAnswer: 271836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56908277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(17024\/(-24)))\/((-7)\/(1764\/(-72))).\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 120 = 3*s, 3*s - 100 = -0*u - 2*u. What is the remainder when s is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90538 >= 90540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7) + sqrt(49)\/sqrt(7)*-3.\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/5, 5, -0.4, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 25, 4*x - 30 = -5*u + 15. Differentiate -2 - n**3 - 4 + 2*n**3 + u with respect to n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13273 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -4*o**5\/5 + 7*o**4\/12 + 23*o**3\/6 + 3*o**2\/2 - 34*o. Let i be q(7). Is 1*-2*i\/34 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*o - 2 + 28 = 0, -2*o = -z - 5. Suppose z*p = 3*q + 45, 2*q + 5 = -p - 16. What is the units digit of (-2)\/(-2*(-3)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 260*y**3 - 115*y**2 - 885*y - 2240. Let c(p) = 313*p**3 - 115*p**2 - 886*p - 2240. Let s(k) = 5*c(k) - 6*o(k). Find t, given that s(t) = 0.\nAnswer: -8, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/2? (a) -1\/5 (b) -1 (c) 1\/3 (d) -30\/31 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (10 - 8 - -1 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -693*w = -658*w - 115045000. What is w rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 26\/((-2)\/(-1)) - 706685\/(-46970)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g + 81. Let o be a(-13). Solve 0 = h + 2*m + 8, -4*h + o*h = -3*m - 17 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58890667?\nAnswer: 11, 199, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 3.01. Let u = 33\/13 + -151\/39. Which is the second smallest value? (a) 0.3 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t = 300*t + 5236 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*w - 75, -53 = 4*w - 5*y + 65. Calculate the remainder when 16 is divided by (w\/15)\/((-2)\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 + 5*n**2 - 9*n - 3. Let a be r(3). Let u = 70 + a. What is the first derivative of 2*i + i + 21 - u*i + 3*i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) 0.2 (c) -3\/7 (d) 3\/10 (e) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 5*t - 5 = 10*b, -4*b - 4*t + 52 = 0. Suppose -4*r + 12341 = x, -4*x - b*r + 6*r + 49400 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.10641904 + -91.5749\nAnswer: -91.68131904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3486520469\/1662 + -2097786. Find the common denominator of 46\/33 and c.\nAnswer: 18282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and 3.92?\nAnswer: -1.1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 312560.\nAnswer: 312560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 4*r + p - 32, -4*r + 5*p = -38. Suppose t = -3*t - 5*h + r, -2*t + h + 7 = 0. Let m be 0\/(t + (4 - 6)). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.54134 - 1.54. What is j rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bso when three letters picked without replacement from bswbjjiibwoowb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbvbpa. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*k + 15, -9*k + 7*k + 4*j = 20. Let n(o) = o**3 + 5*o**2 + 4*o + 1. Let h be n(-4). Which is the second smallest value? (a) k (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -80.9. Let c = 0.23 - -12.77. Let i = c + -12.4. What is the closest to w in -4, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**8\/504 - k**6\/45 + k**5\/45 + k**4\/12 - 2*k**3\/9 - 6*k**2 + 26*k. Let r(p) be the first derivative of j(p). Factor r(o).\nAnswer: 2*(o - 1)**3*(o + 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1563685447?\nAnswer: 53, 271, 108869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:29 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23162 and 2?\nAnswer: 46324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -13. Suppose 0 = -2*p + 16, a - 40 = -7*p + 18. Solve l = -a*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-11)\/264*-16)\/(2\/(-3)))\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - ((23 - 0) + -23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/2 - k. Let s(t) = -42*t + 11. Let z(w) = 23*w - 6. Let q(v) = 6*s(v) + 11*z(v). Give q(m(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -38\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 36673260.\nAnswer: 73346520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*(-2)\/(-4)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:34 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 4 + 6*b - 15 + 0*b to the form a*b + f and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20141301032 + 2?\nAnswer: 20141301034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38229 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7468 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 339381551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 8*o**2 + 9*o + 2. Let p be y(-9). Calculate the remainder when (32\/12)\/(p\/15) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/57 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 60610?\nAnswer: 60609.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -251c8 - -21b?\nAnswer: -24caa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*1*-1 - (-190225)\/(-15218)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 n, and 1 e when three letters picked without replacement from {b: 1, n: 1, e: 2, k: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 347200 rounded to the nearest ten thousand?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2347 divide 72954148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565724 is divided by 187271?\nAnswer: 3911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 21727538.\nAnswer: -3\/21727538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -9, 3, -26, -4, -2 in decreasing order.\nAnswer: 3, -2, -4, -9, -26, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*v - 2*v - 6, -5*v + 22 = r. Suppose -5*q + 27 - r = 0. Let l = -1 + 9. Calculate the smallest common multiple of l and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3851.2 litres?\nAnswer: 3851200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = 2*n - 56, 2*n + 4*r = 56. What is the lowest common multiple of n and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**28*r)\/(r*r**19))**(-13) assuming r is positive.\nAnswer: r**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -240956 or -219?\nAnswer: -240956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/367455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 - 6*t. Let q(w) = 8*w**2. Give q(f(p)).\nAnswer: 128*p**4 + 384*p**3 + 288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34810 - -22512?\nAnswer: 57422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*x - o, x - 3*o + 3 = -5*o. Let k = -30 - -31. Calculate the lowest common multiple of x and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11067 rounded to 3 dps?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(3*(-6)\/(-99)). Let z be -2 + (x - 2) + -1. Suppose q - z = -q. Solve -q*t = t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*d**3 - 3*d**6 + 43*d**2 + 6 - 1 - 2*d**3 - 36*d**2 wrt d?\nAnswer: -360*d**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1764, -1753, -1726, -1677, -1600?\n\"Answer: i**3 + 2*i**2 - 2*i - 1765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*r - 24. Let u be ((-44)\/16)\/(2\/r). Let t be 2 + (-4 - -2 - -88). What is the greatest common divisor of u and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-129)\/86*(-20)\/(-15). What is the second smallest value in -17, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 148885506*d**2*k - 55483282*d**2 wrt k?\nAnswer: 148885506*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8202 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142.42 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32200*p + 65485*p - 33117*p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:38 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2043*0.017\nAnswer: -0.0034731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(405) + sqrt(405)*-3 + 4 + 1*sqrt(405)*1 - (4*1*sqrt(405) + -1 + 2))**2.\nAnswer: -270*sqrt(5) + 10133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7803*i + 7759*i + 132 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {z: 1, p: 1, w: 2, v: 2, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29361.\nAnswer: 3, 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 266 = -40. What is q in 3*q**5 - 51\/2*q**2 + t + 6*q + 15\/2*q**4 - 9*q**3 = 0?\nAnswer: -2, -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-15)*2\/(-8)*29568\/(-7168)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 2*a = -48. Suppose 6*v - 204 = -a*v. What is the remainder when 31 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 7, 0, 21 in descending order.\nAnswer: 21, 7, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -625 + 758. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**3\/3 + u**2\/2 - u + 4. Let i be (-2 + 4 + -2)\/(4 + -3). Calculate k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-17)\/(-1)*(-37)\/(-74). Let s(t) = 2*t**2 + 10*t - 9. What is the hundreds digit of s(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/14 - 4437\/714) + -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57160?\nAnswer: 2, 5, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -31, -32, -31, -28, -23?\n\"Answer: o**2 - 4*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1084 and 1086 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 + 7*r**4\/12 - r**3 - 29*r**2. Let b be f(14). Let s be 3\/b*(-2 + 6)*-1. Which is smaller: s or 16\/13?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.122350313 * 0.5.\nAnswer: 0.0611751565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(4)\/sqrt(2) + (sqrt(8) - sqrt(72)) + (-2*(sqrt(2) + sqrt(18) + sqrt(2)) - (sqrt(6)\/sqrt(3) + 1))).\nAnswer: -70*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*h - 867*h - 2057 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 3*f**2 - 4*f**2)*(-216190*f - 33*f**3 + 216190*f).\nAnswer: 33*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 42*i**2 + 26*i - 27. Let z be x(1). What is the second derivative of -45 - 15*c**2 + z*c**2 + 4*c**2 - 3*c wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1791067 is divided by 493?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7279.\nAnswer: 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20538148 and 3636?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -2.5. Let l = -6 + 4. Let x = -2 + l. Put n, x, 4 in decreasing order.\nAnswer: 4, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -1408 (c) 4 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 (base 3) in base 11?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -10 - 16 + 17*f - f**2 + 9. Let j = 7 + 1. What is the units digit of v(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 55770 = -3*a. Suppose -6960 = -5*b + a. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 + 2*u**2)*(5*u - 20*u + 6*u)*(u**2 + u**2 - 4*u**2).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (7 - (2 + -4 - -8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.238, 0.3, 0.2, -6.7, 13, 4 in ascending order.\nAnswer: -6.7, 0.2, 0.3, 1.238, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3 + 3\/((-42)\/13) and -13\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/37742 and -97\/6.\nAnswer: 113226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -15. Let l = t + 25. Solve 5*f + 4 - l = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = -3*t + 19*l + 3, 0 = 5*t - 3*l - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679017003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p - 2*p + 0*p)*(-9610 - 9303 + 1629) as l + r*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -45*j + 9*j - 2 - 1. Let v(f) = f**3 - 28*f**2 + 82*f - 176. Let w be v(25). Calculate the remainder when s(w) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 285*s. Let x(w) = -w**2. What is y(x(t))?\nAnswer: -285*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 35, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36 and 1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -157325*i + 6450336. Determine v(41).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 239 = -4*d, -11*p = -12*p - 5*d + 105. Let k be 27 + (-2 - (-2 - 0)). Let b be (-18)\/k + 208\/6. Calculate the highest common factor of b and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/17 - 5220*h**2\/17 + 83136*h\/17 - 332032\/17 = 0.\nAnswer: 8, 2594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 11*a**3 + 10*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1340 in -9, 2, -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9840)\/(-100))\/(-82)*(-2)\/(-8).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m = -20*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/6 - 4*j. Let a(m) = -279*m**2 + 126*m - 63. Let t(c) = -9*c**2 + 4*c - 2. Let u(z) = 2*a(z) - 63*t(z). Give u(g(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -11923.94.\nAnswer: 11924.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5950 and 2550?\nAnswer: 17850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3489 divided by -10\nAnswer: 3489\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -3*v**2 - 51*v**3 - 23*v - 57*v**3 + 109*v**3. List the prime factors of d(20).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4733 (b) 0.15 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(45) - (sqrt(270)\/sqrt(24) + sqrt(45)) - sqrt(20)\/(6*((sqrt(4) - 1*sqrt(4)) + sqrt(4)))) + 0 + 5))**2.\nAnswer: -150*sqrt(5) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -325, -123, -3, 4, 2, -5 in ascending order.\nAnswer: -325, -123, -5, -3, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 7*l**2 + 0*l**2)*(-16*l**2 - 4*l + 227*l + 17*l**2).\nAnswer: 5*l**4 + 1115*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 2*w - 34, -6*h = -8*h + w + 27. Let p = 303 - h. Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/((w**6\/w)\/w)*w)\/((w\/(w*w**(2\/33)))\/w))**33*(w**(-1\/2))**(-2\/55)*(w\/w**(1\/5))\/(w*w**2) assuming w is positive.\nAnswer: w**(-2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/2 - 128\/(-18) and (1218\/(-580))\/((-4)\/((-136)\/18)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 1977*t**2 - t - 1815*t**2.\nAnswer: 162*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 76 = 14*c - 3. Let q be (-3)\/15*(-2)\/(-1). What is the nearest to 1\/4 in c, q, -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + 2 - (-9 + 23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {i: 3, z: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -95. Let n = -403\/9 + l. What is the nearest to n in -1\/7, 1\/4, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3037 = -5*i, -5*v - 2*i + 1532 = -3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 34. What is the remainder when 52 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-3 + (-87)\/(-9)). Is o - 2\/4*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 1630*c + 8141. What is b(-5)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18700*u**4 + 22229?\nAnswer: 74800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than or equal to 99\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, b: 11}. What is prob of picking 3 r?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-176)\/24*(-3)\/(-10) + 1. What is the fourth smallest value in 2\/7, t, -1, -0.2, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 878*m**6 - 32*m**5 - m**4 - 1381657*m**2.\nAnswer: 105360*m**3 - 1920*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 324. Let m(c) = -c**2 - 12*c - 20. Let l(p) = -6*p**2 + 2. Let q be l(-1). Let g be m(q). Calculate the greatest common divisor of g and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -203487*g**2 - 152927*g.\nAnswer: -406974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249406 divided by -160.\nAnswer: 124703\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -53 - 11. Suppose f = -2*m - k, -4*f - f - 8 = 2*m. What is the units digit of 6\/(-27) - 56\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(54)\/sqrt(6)))\/(-4*(sqrt(7) + sqrt(175) - sqrt(7))).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-5)\/(30\/(-3)). Suppose -2*s + 3*p + 202 = f, -4*s - 102 + 496 = -p. Let a = 494\/5 - s. Is a < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37 or 14\/11?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 + 96760542 - 96760545 - 6*o**3.\nAnswer: 4*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 450.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:30 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/3 - 66572*f\/3 - 1265590\/3 = 0.\nAnswer: -19, 33305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/19311?\nAnswer: 2\/19311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**4\/4 + 20*c**3\/3 - 43*c**2\/2 + 22*c - 232. Factor n(k).\nAnswer: (k - 1)**2*(k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 281941 and 1491.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70131*k**4 + 7*k**2 - 226*k - 3?\nAnswer: 1683144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -17\/7, 6\/7, -0.38, -5\/3, 6?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 45647000 to the nearest one hundred thousand.\nAnswer: 45600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*a)\/(a\/a**(-7))*a**(4\/11)*a**(-9)*a assuming a is positive.\nAnswer: a**(-95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4837740*r**5 + 371468*r**2 - 2*r?\nAnswer: 290264400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 4, -5, -4 in decreasing order.\nAnswer: 29, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 at most as big as -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*q = -4*n - 181*q - 15, 0 = n + 5*q + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 22. Let k(v) = -v - 15. Let p(o) = -5*g(o) - 7*k(o). What is the smallest common multiple of 11 and p(12)?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -5*p**4\/4 + 35*p**3\/3 - 40*p**2 + 60*p + 12. Factor b(g).\nAnswer: -5*(g - 3)*(g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 59d84?\nAnswer: 59d84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 2. Let g = 36 - 41. Let t = k + g. Solve t*w = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 34 = -12. Let w = -26276\/9 - -2923. What is the common denominator of w and (-6)\/(2 - (-76)\/j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 53. Let a be h(-19). Solve -4*t + 13 = -3*z, -t + 0*z = -z - a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 5. Give s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 - 46 = -7*q. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 4:44 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, -2\/9, 11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 171 and 397100.\nAnswer: 3573900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -48, 0.5, 0.0218, 3, -7?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2652 and 9487296?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76769 and 1680?\nAnswer: 18424560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7326 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 26234?\nAnswer: -26241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 + -6.17. Let j = -1.05 - z. Let h = j - 5. Is h at most 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -6*i + u + 138, 5*u = -10. Suppose -5*n = 4*m - 92, 0 = 4*m + n + 3*n - 92. What is the remainder when i is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1254712360 to the nearest 100000.\nAnswer: 1254700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 0*w + 0*w**3 - 312*w**2 - 43\/8*w**4 - 1\/60*w**5 - 1. Let b(q) = -2*q**2. Calculate m(b(k)).\nAnswer: -4*k**4 + 258*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13018361\/412 + -31598. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479680 is divided by 846.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 >= -581295487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*x**5 + 0*x + 0*x**4 + 0 + 2*x**2 - 7\/3*x**3 = 0. Calculate x.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -65. What is the greatest common factor of 125 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 893916 and 20858040?\nAnswer: 62574120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 5*t - t**2 + 121 - 5*t - 2*t.\nAnswer: -t**2 - 10*t + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 20*j**4 - 8*j + 20. Let b(z) = -7*z**4 + 3*z - 7. Let d(m) = 8*b(m) + 3*w(m). Find the first derivative of d(f) wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1234500825 and 1175.\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 5*o**2 + 7*o - 1. Let i be f(-7). Let u be 3 - (114\/(-3) + -2). Let l = i - u. Solve -l*w = -w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from tssjrjsssrssrrk.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - u - 1. Let n(b) = 7*b**2 - 23*b - 65. Let o(i) = 6*c(i) - n(i). Calculate the remainder when 76 is divided by o(18).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/9, 4, -1\/5, 15, 2\/3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -19. Suppose n*h = 5*h. Factor -2\/9*q**3 + h*q + 0 + 2\/9*q**2.\nAnswer: -2*q**2*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553\/1226 at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7584 + -2025.\nAnswer: 5559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 1, j: 1, g: 1, d: 1, e: 2}. Give prob of sequence uej.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11, 13, 3, -25, -77, -159, -277?\n\"Answer: -n**3 + 9*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 + 267. Suppose f + d = g, -4*g + 528 = f - 6*f. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -229 in -0.5, -14, -3, -0.1, 4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-6))\/((-3)\/(2*27\/15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1759, -3312, -4829, -6292, -7683?\nAnswer: -8984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i - 3. Determine f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1fe (base 16) to base 14\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 4. Let r = 7 + -12. Let s(j) = -j - 1. Let x(z) = 3*z + 2. Let a(c) = 21*s(c) + 6*x(c). What is r*n(h) + 2*a(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from suyyyzoszhyyosy. What is prob of picking 1 h and 2 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(150\/4 + 0). Suppose 85 = 4*h - z. What is the remainder when h is divided by -2 - (4\/(-26) - 7896\/728)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 16*a**2 - 16*a - 29. Calculate b(17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876644 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6)*(-2)\/(-6). Let z = -30 + 45. Let t = 14.9 - z. What is the closest to t in b, 5, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 77*q + 5929.\nAnswer: (q - 154)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3914*v**5 - 2091*v**2.\nAnswer: 234840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157503829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -26736925 + -241\nAnswer: -26737166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 203 - 23 = 0. Let j = a - 13. Solve 2*g + 3*p + j = 6*g, -2*p = -5*g + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/45)\/(4\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2069, -4133, -6207, -8297, -10409, -12549, -14723, -16937?\n\"Answer: -n**3 + n**2 - 2060*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 2. Let m(k) = -k**2 - 32*k + 8. Determine m(l) + 3*t(l).\nAnswer: -l**2 - 26*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10819 is divided by 1524?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 20*c**3 - c**2. Calculate h(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4712 (base 9) in base 11?\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -581, -708, -877, -1100, -1389, -1756, -2213?\nAnswer: -2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.3 and 662278.\nAnswer: 5496907.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/126600 and 129\/36800?\nAnswer: 23294400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1647251 divided by 97\nAnswer: 1647251\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -551 - -2682\/5. Which is smaller: m or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 0.0335074.\nAnswer: 1.0335074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-4 - -3)) + -3 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84601 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {l: 5, o: 3, t: 1, f: 2, g: 3, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*o - 705 + 16. What is the highest common factor of 1352 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 + z**2 - 4*z + 24. Calculate the smallest common multiple of 627 and b(0).\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, i: 2, u: 3, z: 2, c: 6}. What is prob of sequence uic?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -74854.7 and 214.72?\nAnswer: 75069.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3120778428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 0*s**3 + 2*s**3 + s + 6*s**2 + 8*s**2 + 18 - s**3. Let h be j(-14). Sort 5, 0, h in decreasing order.\nAnswer: 5, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76989327*k + 76989327*k + 63*k**3.\nAnswer: 63*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23)\/(-3)*547826 - (-4)\/6. What is u rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/7 (c) 500\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*c + 15*c - 385 = 1335 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9510715ng to tonnes.\nAnswer: 0.0000000000000009510715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 5)*(0*t**4 + 4*t**4 + 11*t**4) to the form o*t**2 + k + b*t + i*t**3 + v*t**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*h + 66 = -5*k - 393*h - 396*h, 0 = 4*k - 5*h - 55 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1759*y + 638*y - 1048*y. Let z(m) = 2*m. Give p(z(w)).\nAnswer: -4338*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 8. Suppose -4*t + 30 = t - 5*x, 3*t - 15 = w*x. Solve -4*q = 5*l - 25, 2*l - 1 = -t*q + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 21 = -g + 6, 4*g = 8. Let b be 3*(-2 + 1 - -3). Let x(r) = -r**2 + 7*r - 1. Let t be x(b). Sort 4, t, l in descending order.\nAnswer: t, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let u = 1 - b. Suppose -u*r + 66 = 4. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 352 + 1678. List the prime factors of f.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-31)\/y**22 assuming y is positive.\nAnswer: y**(-53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*u**2 + 86*u.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 - 4*p**3 + 4*p**3)*(16*p + p + 28*p).\nAnswer: 90*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -2\/9 (c) -0.226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (-5 - (-7 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 133425 + 295820 - h**2 + 2930*h + 4*h**2 + 2*h**2.\nAnswer: 5*(h + 293)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (90 - 2)*(4\/2 - 3). Let h be ((-9)\/(-6))\/((-66)\/f). Solve 2*x + 10*q = 5*q + 7, h*x + 2 = 4*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86687290 divided by 1?\nAnswer: -86687290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -18, -2\/3, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 4297292*b - 4297293.\nAnswer: (b - 1)*(b + 4297293)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.9.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -0.5. Let n = -0.5348 - 0.4656. Let y = w - n. Round y to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 + 8*t + 12. Let m(x) = -11*x**2 + 15*x + 25. Let b(p) = -4*m(p) + 7*r(p). Factor b(u).\nAnswer: 2*(u - 4)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.432 + -0.37\nAnswer: 7.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -11433636213?\nAnswer: 11433636211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -831*v - 877*v + 1708 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, -206, 4704 in ascending order.\nAnswer: -206, -1, 15, 4704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -1679 (c) 0.5 (d) -1\/6 (e) -5 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -1 - 82\/3. Let i = r + 24. Which is the second smallest value? (a) 0.5 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 15287*d - 91758.\nAnswer: (d - 15293)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 divided by 2676?\nAnswer: -5\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 4*q)*(11538 + 2965 - 433 - 1248) as t*q + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12222, -24440, -36640, -48816, -60962, -73072, -85140?\nAnswer: -97160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 12*n**2 - 6. Let k(o) = 8*o + 318. Let a(x) = 5*x + 319. Let h(m) = 5*a(m) - 4*k(m). Let f be h(47). Give q(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 70052?\nAnswer: -70055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -4*b + 31, 0 = 5*b - p + 4 + 6. Let v(g) = g**2 + g. Let x(o) = -25*o**2 - 2*o + 2. Calculate b*x(z) - 2*v(z).\nAnswer: 23*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 8 = -f + i, 25 = -5*f + 5*i. Let o = -2 - f. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 649 + -438. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k. Let s(x) = -88301387*x**2. Calculate s(w(l)).\nAnswer: -353205548*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, j: 10, k: 1, w: 2}. What is prob of sequence kjw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + w)*((7*w - 7*w + 8*w)*(1 - 3 + 0) + 109 + 108*w - 109)*(-1 - 1 + w + 2).\nAnswer: 92*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.381185 to two dps.\nAnswer: 62.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.017144 + -0.017. What is s rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w = -11*w - 22 - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*m - 24971 = 298*m + 206*m - 6743 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/(-15)*((-10782)\/4)\/3 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/27 (b) -89 (c) 4.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/((-66)\/(-24) - (-2)\/(-8)). Let r(z) = z - 1. Let a be r(5). Suppose 5*x = 3*j + j + 2098, 1676 = a*x - o*j. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59519*k - 209 = 59500*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/246 and -59\/15.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 29*t + 12. Let s be y(14). Calculate the common denominator of -5*9\/((-432)\/76) and (s + 0)*(1 + (-86)\/(-72)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 13*d - d**2 - 4 - 2 - 4*d**2 - 4*d + 4*d**2. Let g(m) = m**2 + 5*m - 7. Let y be g(-7). Calculate l(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 5. Let n be v(-5). Let p = -176 - 143. Let d = p - -319.3. Sort 4\/13, n, d in descending order.\nAnswer: 4\/13, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d1 - -12c?\nAnswer: 21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.971 - 2110.829. Round r to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (600\/((-70)\/(-14)))\/(((-182)\/(-7))\/(-13))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 8 + (4 - 1 - 2)*(4 + 0 - 2) + (-5 + 12 + 1)*(10 - 14 - 11))*(3*o - o - o) as f + x*o and give x.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y**5\/5 - 1803*y**4\/5 + 6783*y**3 - 132153*y**2\/5 - 810282*y\/5 - 34632 = 0 for y.\nAnswer: -3, -2\/9, 13, 20, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 333, 463, 717, 1137?\nAnswer: 1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 + (-13)\/(-13). Let v(r) = 439*r + 4. Is v(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -160364 + 181?\nAnswer: -160173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 10\/11, -1\/3, 76\/9, -9, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4065 - -4069. Solve -3*d + 7*d - 5*t - 33 = 0, 0 = 3*d + w*t + 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208, -222, -236, -250?\n\"Answer: -14*s - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5 - 4 + 0*h - h + 0. Let s(t) = -4*t + 5. Let r(k) = 6*f(k) - s(k). Is 3 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127254336 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10897 + -217991\/20. Let b = -13445167\/24 - -1668569\/3. Let u = -4020 - b. Calculate the common denominator of u and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (273\/(-364))\/(21\/28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iic when three letters picked without replacement from {c: 1, j: 4, p: 1, r: 1, i: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 11997*t - 131981. Calculate k(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.3 and -0.2622?\nAnswer: -3.74946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.32168649526 and -0.79.\nAnswer: 0.53168649526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, r: 3, l: 2, m: 1}. Give prob of picking 1 r and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 64\/(-12) - -4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 5*y - 25. Let m be i(3). Let p = -47 + 71. Let u = m + p. What is the remainder when 112 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/120 and -16\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 - 2040*a - 21956 = 0 for a.\nAnswer: -499, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2312 + 2314. Suppose -2*f + 3*f - 3 = 0. Suppose 4 = f*y - 8. Solve 0 = -3*u - y*j - 3, 4*u + g*j + 0 = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23da3 (base 14) in base 8?\nAnswer: 253313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442566 divided by 5.\nAnswer: -442566\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69125 is divided by 151.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13915 is divided by 1855.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8846363 tonnes in nanograms?\nAnswer: 884636300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*i**2*k**2 + 7*i*k**2*v + 2*i*k*v - k**2 - k*v + 11*v wrt i.\nAnswer: -18*i*k**2 + 7*k**2*v + 2*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-2*z + z**5 + 4*z + z**5) + 427*z**5 + 37*z**5 - 30*z**5.\nAnswer: 428*z**5 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n - 3. Let p be j(6). Let f = p - 13. Solve -5*m - l + 4 = 0, 4*m + f*l = -2*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + l - 3 = -711*w - 711*w + 1421*w - 1, 6*w - 96 = 3*l for l.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 6\/35 (c) -0.01 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4818794?\nAnswer: 2, 2409397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11020213 (base 5) to base 16\nAnswer: 17352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -828432, -1656852, -2485272, -3313692, -4142112, -4970532?\n\"Answer: -828420*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*h - 64*h - 180 = 0. Let m be (((-25)\/10)\/5)\/((-3)\/h). Solve 0 = -11*o + 9*o + m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -4.457 (c) 0.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -1, -343.3, -1\/5?\nAnswer: -343.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/36*(5 + (-935)\/195)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/4 + x**4 - 21*x**3\/2 + 9*x**2 + 81*x\/4.\nAnswer: x*(x - 3)**2*(x + 1)*(x + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-56))\/((518\/(-56))\/(-37))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04 + 0.0428. Round n to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = 4*b, -4*f - b = -9. Suppose f*x - s = 2, -5*x + 0*s = 5*s - 30. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**2 - 3100*z = 0.\nAnswer: 0, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - m**2 - 1. Let t(l) = 9*l**3 + 11*l**2 + 11. What is 22*i(d) + 2*t(d)?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98497.0046237 - -98497. Round s to five decimal places.\nAnswer: -0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 12 = -23 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 52*f + 57*f - 103*f - 116, -37*f = 4*k - 240 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2835*v + 36. Let m(p) = 14174*p + 168. Give 14*i(s) - 3*m(s).\nAnswer: -2832*s","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**5 - 12*l**5 - 8*l**5 + (5*l**4 - 5*l**4 + 2*l**4)*(4*l - 1 + 1).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/((z*((z\/(z**(1\/6)*z))\/z*z)\/z)\/z*z)*z**11*z\/z**(-1\/13)*z**(-2\/5) assuming z is positive.\nAnswer: z**(5009\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxjjleddxexxjj. What is prob of sequence le?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 4*u**2 - u + 2. Let x be d(4). Put 1\/6, 0, x in ascending order.\nAnswer: x, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**(7\/6) assuming a is positive.\nAnswer: a**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 3, 5, -1 in descending order.\nAnswer: 6, 5, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, q: 3, t: 2, y: 3, c: 1, x: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - 2378 + 1195 + 1183. Let v(t) = -1874*t. What is v(b(f))?\nAnswer: 3748*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*((-9)\/(-3) + -3). Calculate the remainder when 36 is divided by -3 - (2 + u + -24).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 19*s**5\/5 - 5*s**4\/4 + 2*s**3 + 36*s**2 - 2*s. Let g be q(-6). Round g 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 20277218 is divided by 1588.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k**4\/4 - 5*k**3\/3 - 7*k**2\/2 - 7*k + 24. Let y be w(-4). Solve -3*v - 2*d = -y*d + 12, 0 = -4*v + 5*d - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20305 by -655.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 66. Suppose 6*o = w*o - 76800000. What is o rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1261*z. Let w(j) = -j. Give c(w(u)).\nAnswer: -1261*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/33)*w)\/((w\/(w\/(w*w**(-2\/31))))\/w)*(((w*w**(22\/7)\/w)\/w)\/w)**32)**(1\/9) assuming w is positive.\nAnswer: w**(269294\/64449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/39 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1869 - -2151. What is the lowest common multiple of 11 and v?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/(-12))\/((-1)\/4). Let h = 7 - j. Suppose -77 - 7 = -4*u. Solve -h*z = -t + u, -5*z - 32 = -4*t - 2*z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -404695847973?\nAnswer: -404695847972.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 d when two letters picked without replacement from gdecgceeeceedggcj.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*o**3*y + 3*o**3*z**2 + o**2*z**2 + 735*y*z**2 + 85*z**2 - 9 wrt y?\nAnswer: -13*o**3 + 735*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 201573 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -4. Let u = -5.884 + 5.984. What is the nearest to u in 3\/2, l, -1, -39?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 + 11 = 0. Is 2 a factor of -6 + u + 3\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 15097 - 1057 = 0. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 917057 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37434135?\nAnswer: 3, 5, 101, 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 22*w - 32*w. Let x(h) = -h**2 - 2*h - 2. Give x(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80532 - -644277\/8. Solve 5\/2*y - 1\/8*y**2 + f = 0 for y.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-20)\/6 + 3). Let r be (16\/24)\/((-2)\/(-12)). Let f(u) = 2*u**2 - 5*u + 7. Let x be f(r). Solve -8*i = g*v - 4*i + x, -5*v + 4*i = 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(2\/11)*j*j*j\/(j\/((j\/j**(7\/4))\/j)))\/(j*j*j\/j**(3\/8)*j*j**(-11)) assuming j is positive.\nAnswer: j**(863\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -18352 > -3358195\/183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*f**3*h - 8979*f**3 - 2*f**2*h + 37*f*h with respect to h.\nAnswer: -30*f**3 - 2*f**2 + 37*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f**3 + 80*f**2 - 31*f - 13. Let l(m) = -2*m**3 + 28*m**2 - 10*m - 4. Determine 7*l(w) - 2*p(w).\nAnswer: -4*w**3 + 36*w**2 - 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**4\/3 + 64*b**3\/3 - 68*b**2 - 192*b + 720 = 0.\nAnswer: -3, 3, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-14) - 7\/(147\/6). Let o be ((-1)\/t)\/(5\/(-60)). Solve 4*b - r - 3 = 0, o*b + 4*r = 2*r + 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((((sqrt(616) + -1*sqrt(616)*1 - sqrt(616)) + sqrt(616))\/(3*2*sqrt(11)))\/(6*(sqrt(8) - sqrt(800) - sqrt(8))*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010606 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177538394 to the power of 1\/2, to the nearest integer?\nAnswer: 34315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19284083, -5, 3\/4 in ascending order.\nAnswer: -19284083, -5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.4, -186, -1\/7, -0.5, -520?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261205, -522405, -783605?\nAnswer: -1044805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 2\/3*t**3 + 0 + 0*t**2 + 1\/30*t**6 + 0*t**5 + 0*t**4 - 3*t. What is the second derivative of x(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + ((-3)\/2)\/(-1). Let k(n) = n - 1. Let w be k(8). Suppose 3 = t - j - 4*j, -5*t + 3*j = w. Which is the second smallest value? (a) 0 (b) s (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*l - 4*l. Let d(b) = -b**3 - 42*b**2 - 77*b + 132. Let t be d(-40). What is the greatest common factor of l and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-266)\/(-5) - (-558)\/310. Calculate the greatest common factor of h and 1485.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 48 + -71 + 5 + 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.66, -191 in decreasing order.\nAnswer: 0.66, -1, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 9\/9)*1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*z = -281 - 1240 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.1 - 13. Let u = j + -0.7. What is the nearest to 2\/9 in 1, 4\/9, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -28. What is the third smallest value in 3, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 12, 1, -3 in decreasing order.\nAnswer: 12, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 968.1217m to micrometers.\nAnswer: 968121700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 3. Let k(p) = -p**2 - 6*p + 1. Let t be k(-5). Suppose 0 = -t*x + x + 40. Let q be 2*x\/6*3. Let y(g) = -6*g**2 + 8. What is q*o(h) + 3*y(h)?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*s + 606 + 654 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 523 - 545. Let o(m) = -5*m**4 - 11*m**2 + 11*m + 11. Let y(j) = j**4 + 2*j**2 - 2*j - 2. Let f(w) = a*y(w) - 4*o(w). Factor f(q).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 42 - 37)*(-u**5 - 4*u**5 + 3*u**5 + 4*u**5 + u**5 - 2*u**5 + (3 - 1 + 0)*(3*u**5 - 3*u**5 + 2*u**5) + 10*u - 10*u - 6*u**5).\nAnswer: 24*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120923.037ms in days?\nAnswer: 0.0013995721875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*x - 664 = -1281 - 2743 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4792*l - 23894. Give r(5).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 8*g**2 + 10*g - 5. Let s be u(9). Suppose -3*o + 2*a + 9 = 0, -5*a + 2*a - 9 = 0. Calculate the greatest common divisor of s and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 12*l**2 - 17. Let i(s) = -s**2 + 1. Calculate 6*c(g) + 102*i(g).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + (0 + sqrt(720))*-3 + (-2*sqrt(495))\/(sqrt(891) - (sqrt(891) + (sqrt(891) - -2*sqrt(891)))) + 4)**2.\nAnswer: -1288*sqrt(5)\/9 + 518744\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -838 + 810. Let s = -27.926 - l. Is 1 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 398779?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-2*3 - ((1*sqrt(21) + sqrt(21))\/sqrt(3) + sqrt(7)))*1 - ((sqrt(70) + 3*-4*sqrt(70))\/(5*sqrt(60)\/sqrt(6)))**2.\nAnswer: -847\/25 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/17 or -112326163?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 4*k, -2*u - 4*k + 3*k = -4*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 39*k**2 + 37*k**2 - 75*k**2 - 28 as a*k + z + h*k**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/17, -2\/13, 4 in descending order.\nAnswer: 4, -2\/13, -12\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470 a factor of 324393844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.05 (b) -6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f - 2385 = 0. Let j = -536 - f. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*i + j - 1, -5*i = -4*j - 14. Suppose 4 + 0 = i*t. Let l(c) = -3*c + 2 + 0 - 1. Determine l(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3308\/39 - 85. Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 106, -4, 7.\nAnswer: -4, 3, 7, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1058d?\nAnswer: 1058b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 14\/(-6))\/(65\/(-78))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2584 (base 15) to base 16\nAnswer: 1f3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*f**3 - 120 - 72*f**3 + 120 - 34*f**3.\nAnswer: -71*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5))**(-2\/127)*(c\/((c*c**(-27)*c)\/c)*c)\/(c*c**(22\/3)) assuming c is positive.\nAnswer: c**(7523\/381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lczatjajatj. What is prob of picking 1 j, 1 a, and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 14. Let p be y(-13). Let z = -1.97 + -0.03. Which is the nearest to 1? (a) 0.2 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/4))**9\/(m**(1\/4)*(m*(m\/((m**(-2)*m)\/m))\/m*m)\/m*m)*((m*m**(-3\/7))**(-17))**(-25) assuming m is positive.\nAnswer: m**(3435\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0082245 to 4 dps.\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052952245 + -153498?\nAnswer: -153497.947047755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54643 - -13563.\nAnswer: -41080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 - 1076*l + 18061. Give o(16).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1034 + -1032. Solve -a*k = -4*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21780523.64 to the nearest 1000.\nAnswer: 21781000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1405728199872.7 from -0.03.\nAnswer: -1405728199872.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 7*y + 6*y**2 + y**3 - 2*y**3 + 9. Let a(i) = 3*i**3 + 17*i**2 + 20*i + 27. Let n(m) = 2*a(m) - 7*p(m). What are the prime factors of n(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1387853 and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -87917.\nAnswer: 439585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1193 - -28.83?\nAnswer: -1164.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97557 = -3524*z + 26419 + 48700 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 5*a + 95. What is the units digit of j(29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/29 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + 1. Suppose 12 = -4*f, -o - 2*o - 5*f = 27. What is the remainder when r is divided by (o\/6)\/((-4)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, v: 2, z: 1, s: 2, j: 2, m: 5}. Give prob of sequence mjv.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2271909.\nAnswer: 3, 229, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 3*m, -2*u + 2 = 4*m - 0*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/14)*a)**(-3\/7) assuming a is positive.\nAnswer: a**(-45\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 5*g**2 + 34*g + 21. Let i be h(9). Suppose -7*n + 5448 = -i*n + d, -n + 1355 = 2*d. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -110233?\nAnswer: 110233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37118697 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 9*k - 6*k + 6*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, -37, -116, -247, -442, -713?\n\"Answer: -2*v**3 - 8*v**2 - v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.2*2302.1.\nAnswer: -14273.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -35313, 2, -38, -1 in descending order.\nAnswer: 2, 1, -1, -38, -35313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or 23\/71?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b + 13*b + 405. Calculate the remainder when b is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3\/4, 8\/13, -2\/3, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/6 + 5*g\/2 - 6 = 0.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -948a (base 11) to base 13.\nAnswer: -5943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -157 + 180. Let r = d + -19. Let f = 3 - 4. Which is the closest to 1? (a) f (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*x - 11*x**2 + x**4 + 12*x**2 + x - 4*x**3 + 3*x**3 as z*x**2 + j*x**4 + b*x**3 + f + g*x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(1584) + -5 + -5 + 2)**2 + -4.\nAnswer: -576*sqrt(11) + 14311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 39*p\/4.\nAnswer: p*(p + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 28 + 22 + 60 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29526051?\nAnswer: 3, 9842017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/3)\/p**1*(p**(-1\/4))**(-5\/6) assuming p is positive.\nAnswer: p**(-35\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-4)\/(-2 + 6). What is the second derivative of -7*t**4 - 3*t + i*t + 2*t wrt t?\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 132990?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-112)\/(-312))\/(-14)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 41*a**2. Let f(g) be the third derivative of g**5\/3 + 608*g**2. What is f(j(u))?\nAnswer: 33620*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-10 - -30) - 97) + 9\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -812111*k*s**4 - 16237477*k - 8*s**4 wrt s?\nAnswer: -3248444*k*s**3 - 32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.014.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-925)\/(-74)*1\/10)\/((-30)\/(-9)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53763787 is divided by 54?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {y: 9, s: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - h)*(654266 + 21119*h**2 - 654266).\nAnswer: -21119*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 + 63*x + 51. Let f be q(11). Solve 30*d = f*d + 60 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*h - 37*h - 352*h)*(1 - 1 + h) to the form k*h + q + u*h**2 and give u.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.6 - 9.6. Which is smaller: 18\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -190573653.1 - -0.2\nAnswer: -190573652.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 11:54 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d**1)\/d)\/d)\/(d*d**(2\/23))*d**(2\/17)\/d*d*d**(1\/5)*d assuming d is positive.\nAnswer: d**(2406\/1955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 10:59 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 11:06 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*i**3 - 243*i**2 - i - 15301495 wrt i.\nAnswer: 63*i**2 - 486*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcz when three letters picked without replacement from {k: 1, z: 1, g: 1, n: 5, c: 2, x: 3}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 21*j**2 - 859*j - 1757. Let a(s) = 51*s**2 - 2148*s - 4392. Let w(h) = -5*a(h) + 12*o(h). Factor w(f).\nAnswer: -3*(f - 146)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33566355?\nAnswer: 3, 5, 239, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 (base 8) in base 9?\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 18. Let k be y(-5). Suppose 0 = 2*l - k - 6. Solve l*h = -0*h + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -1, 1, 188, -2.\nAnswer: -2, -1, 1, 2, 16, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7. Let f(p) = -p - 99. Calculate -3*a(h) + f(h).\nAnswer: -h - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 39*t**3 + t**2 - 1. Let n be a(2). Suppose -n - 123 = -2*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 5.63194402076?\nAnswer: -7.63194402076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -98 + 40 - j + 50. Let p(x) = 2*x + 16. Let z(l) = -3*p(l) - 5*r(l). Determine z(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212102 - -11?\nAnswer: -12212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 706094493 to the power of 1\/2, to the nearest integer?\nAnswer: 26572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -4, -2, -8\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 342 - 32?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138648 and 96.\nAnswer: 554592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4, -6, -8, -39, -12 in increasing order.\nAnswer: -39, -12, -8, -6, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2635*c**4*r - 5258*c**2*r - 365*c*r - 950 wrt c?\nAnswer: -31620*c**2*r - 10516*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217.25 - -217.35. What is the closest to -6 in -4, 0.2, p, -0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -207*l - 39733. Determine n(-192).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-42))\/(3\/(-18)). Let m = 29 + -30.1. Let h = -8.9 + m. Which is the third biggest value? (a) -1 (b) u (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*j = 2*j + 19, -2*n + j + 7 = 0. Suppose -2*i - n*m = -10, 9*i - 11*i + 3*m = -3. Suppose 0 - 1\/10*z**i + 3\/10*z**2 + 0*z = 0. What is z?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/81)\/(-7*(-13)\/(-5187)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1723198 + -1723212.18826. Let u = 14.2 + z. What is u rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.12 (c) -105 (d) 484 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16 - -15)*(1 - -1038). Let w = -727 - o. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:54 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392596912 divided by -11458.\nAnswer: 34264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4 + (-39)\/(-26). Let i be (7 - (2 + 0))*1. Solve 1 = -2*u + u + p*s, 0 = -i*u + s + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 370*s**2 - 37932*s - 666072.\nAnswer: -(s + 22)*(s + 174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 301891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 14*d - 111. Let g(b) = -3*b**2 + 33*b + 223. Calculate 2*g(t) + 5*j(t).\nAnswer: -t**2 - 4*t - 109","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3202240?\nAnswer: 2, 5, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((-980)\/(-1176)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764 is divided by 77.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65561881.\nAnswer: 7, 11, 241, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 7*k**3\/6 - 3*k**2\/2 - 3*k - 2. Let n(v) = -13*v + 5. Calculate 3*n(r) + 5*w(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58283 (base 9) to base 5.\nAnswer: -2220444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 799721253 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 598544927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 0 + 13 + 21 + 22?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 - f**2 + f. Let g(v) = -126*v**4 - 8*v**3 - 6*v**2 + 152*v. Let y(u) = -g(u) + 4*n(u). What is the second derivative of y(j) wrt j?\nAnswer: 1512*j**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*n - 16 = 0, 2*u - n = 6*u - 46. What is the lowest common multiple of u and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 = -59*h - 1 + 68 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 - -10)*34\/(-4). Let y = t + -11. What is the common denominator of y\/8*(-78)\/(-27) and -31\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 1656*k**4 - 20396*k**3 - 182856*k**2 = 0 for k.\nAnswer: -6, 0, 19, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 2122544?\nAnswer: -2122541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 + 6*f**2 + 5*f - 3. Let q(h) = h**3 - 2*h**2 - 2*h + 1. Suppose 6*d + 20 = -46. Let i(v) = d*q(v) - 4*w(v). Determine i(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 56.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 1 - 4*c + 0*c. Let b be d(-1). Suppose -3479991 = 3*g + 3*x, 2*x = 4*x - b. What is g rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 52. Let w = -49 + z. Let b(m) = -3 - m**2 + 6*m - 6*m. Give b(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98579122?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, b: 1, o: 2, n: 3}. Give prob of picking 2 n.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: (6\/(-8))\/(1152\/5120)\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/1 - (-25145)\/2140?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 + -557 - ((5 + -2 - 18) + 3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**3\/3 - 7*x**2\/2 + 14*x - 282. Give y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 333*f - 185. Let o(g) = 37*g - 20. Let v(y) = -4*k(y) + 37*o(y). Let m(w) = 29*w**2. Give m(v(i)).\nAnswer: 39701*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 9:52 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2. Let x be 9\/(-42)*(-35)\/30. Let a(l) be the second derivative of 0*l**3 + l + x*l**4 + 0*l**2 + 0. Determine z(a(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (sqrt(114) - (sqrt(114)*-1 + sqrt(114))*4) + sqrt(114) - sqrt(114))\/(1*sqrt(864) - sqrt(6)))**2.\nAnswer: 76\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 549851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123833081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -229 - -222.89. Let l = u - -0.11. Let z = l - -3. What is the nearest to 1 in z, 3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}