diff --git "a/data/dm_maths/full_data_1/1402_11255.jsonl" "b/data/dm_maths/full_data_1/1402_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1402_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (sqrt(1216) + (sqrt(1216) - (sqrt(1216) - (sqrt(1216) - -4*(-1 + sqrt(1216))))))**2.\nAnswer: -384*sqrt(19) + 43792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:13 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p + 15. Suppose p*s + h = 7, h - 4*h + 1 = 4*s. Find the third derivative of 4*d**2 + 0*d**4 - d**s - d**2 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5031 = -3*r, -r + 70*g = 75*g - 1677. What is the remainder when r is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 10901*r + 10642*r - 21543*r.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-71 - -56)\/(2\/(-226))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27 (b) 299 (c) 0 (d) 2\/11 (e) 0.58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11557604251 + -4?\nAnswer: 11557604245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84025040 divided by 22.\nAnswer: -3819320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(4320)*1 + sqrt(4320) - sqrt(4320))\/sqrt(10) + -3)*2.\nAnswer: -12 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*r + 12 = 0, 0 = -4*m - 3*r + 5*r + 12. Which is the nearest to 2? (a) 2\/11 (b) 33\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 174789, 174775, 174755, 174729, 174697, 174659, 174615?\n\"Answer: -3*w**2 - 5*w + 174797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4 = 3*p + 7*z, 3 - 4 = -z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*v = 270*v - 300. What is the remainder when v is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -37*j + 5. Let b(y) = 25*y - 3. Let o(g) = -7*b(g) - 5*l(g). Calculate the remainder when o(3) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*t + 43 + 510 = -713 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1.5 (b) 4\/7 (c) -33 (d) 18 (e) 4 (f) 2\/69 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 57, -116, -617, -1554, -3035, -5168, -8061?\nAnswer: -11822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**4\/2 + 7*y**3\/2 - 17*y**2\/2 + 17*y\/2 - 3 = 0. What is y?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**5\/60 - w**2. Let q(c) = -c**2 + 4*c + 4. Let b(v) = v**2 - 5*v - 5. Let r(d) = -4*b(d) - 5*q(d). Determine r(h(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuuz when four letters picked without replacement from zuuuzzkzzzu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 6*b + 1. Determine q(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204343.0779 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 84, 283, 624, 1155?\nAnswer: 1924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from {a: 4, q: 4, g: 3, v: 3, m: 3}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*b - 1112*b + 765 = s, 0 = 3*s - 2*b + 65 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1190)\/1547*2\/(-10)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y**5 + 27880*y**4 + 332105*y**3 + 587605*y**2 + 352460*y + 69100 = 0.\nAnswer: -1382, -10, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 47.2. What is the nearest to -1 in 0.6, -4, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*112\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 164*y**2 - 696*y**2 + y**3 + 2*y + 309*y**2.\nAnswer: y**3 - 223*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 + 5) - (3 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n - n - n)*(378 + 268 + 300) to the form x*n + g and give x.\nAnswer: -1892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:03 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -29*d**3 + 7*d**2 + 18*d + 8. Let x(z) = -10*z**3 - z**2. Let a(q) = s(q) - 3*x(q). Determine a(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.2 - 28. What is the nearest to y in -0.2, 2\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5aab9 (base 12) to base 15.\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -20 + (-2 + -6 - (-25 + (-2 - -30))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12990*m + 116904. Give v(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70872 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o - 12 = 0, 0 = 3*f + o - 246. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384435*u**6 + 450401*u**2 wrt u?\nAnswer: 46132200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138255 and 7164445.\nAnswer: 3545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 9*n = 0. Let y = 0.9 - 0.3. Let z = 0.1 - y. Which is the nearest to 2\/5? (a) n (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -5*q**4\/12 - 31*q**3\/6 + 12*q**2. Find the first derivative of v(m) wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 519 - 111. Suppose 0 = 3*q + 3*b - d, 7*q - 9*q - 3*b = -277. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00895112 rounded to 4 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2 + 9*t + 14. Let c(n) = -4*n - 9. Let m be c(1). Let p(l) = 15*l**2 + 18*l + 30. Let r(d) = m*j(d) + 6*p(d). Give r(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*-2*sqrt(325) + -5 - (-5 + ((5 + sqrt(325)*-1)**2 - -5*-1*sqrt(325))))*4.\nAnswer: -1416 + 420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 896*m**2 - 1.\nAnswer: -896*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 5*h + 7. Let l be g(6). Suppose 5 = 3*w - l. Find the first derivative of -1 + n**3 - w + 5 wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9918 divided by -3306\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 31*d + 20. Calculate the remainder when o(-31) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11249, 0, 143 in decreasing order.\nAnswer: 143, 1, 0, -11249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.9 + 188.9. Let x = 189.6 - t. Let n = 19 - x. What is the nearest to 1\/4 in n, 0, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4333224 + 5?\nAnswer: 4333233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 232 (base 4) in base 2?\nAnswer: 101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206669?\nAnswer: 17, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a. Suppose -j + a = -2. Suppose -3*p + 4*f = 17980, 0 = j*p + 3*f + 14369 - 2354. What is p rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -4 + (-4 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -48 + (-2 - -24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/(2\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -7)*3\/6. Suppose p*y + 3*q - 3 = 0, 2 = -3*q - 4. Let o(c) = -3 + y - c. Let m(j) = 2*j. What is m(o(h))?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -9. Let h be (-3)\/(-6)*6*k. Let v(b) = b**2 - 3*b + 3. What is the units digit of v(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19601 and 170255?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -473752*y**3 + 0*y**2 - 4*y**2 + 468686*y**3 + 252 - y wrt y?\nAnswer: -30396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-2 - 3 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4+-8174204423\nAnswer: -8174204419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/91 and 89\/735.\nAnswer: 9555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -24*q - 1920. Let r = q + 124. Solve -k + 0*k = -d + 6, r*k + 26 = 5*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.002 and -3?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14443267, 14443269, 14443271, 14443273, 14443275?\nAnswer: 14443277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 + 15 = 0. Let w be (1500\/35)\/((-1)\/i). What is w rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4181 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 130.2, 5, 1\/3?\nAnswer: 130.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 166 = 2*d - 5*u, d - 127 = -3*u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/10 and -21\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1254357 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*d = -34, 3*r - r - 3*d = 23. What is the remainder when 74 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.71366 - 0.3?\nAnswer: 9.41366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -16. Let j = 52084 + -52079. Sort j, 3, i in ascending order.\nAnswer: 3, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*p + 18 = 0, 0*p + 5*p + 23 = -2*w. Let c = 15 - 13. Differentiate 2 - c - r - w wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 - 21.94. Let v = o + 20. Let g = 2 + -2. Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(48) - sqrt(192))\/(sqrt(196) - (1*sqrt(196) - sqrt(196))) - 6*((sqrt(84)*-2)\/sqrt(4))\/(sqrt(14)\/(sqrt(4)\/sqrt(2))))**2.\nAnswer: 820*sqrt(3)\/7 + 21397\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 33, 5, -5 in increasing order.\nAnswer: -5, -1, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, w: 5, l: 3, c: 2}. Give prob of picking 1 q and 3 w.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 3 + 3)*(-7 - 114*h + 8 - 43*h - 1) to x*h**2 + n + c*h and give x.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 - -6*6\/24. Solve -4*k + m*k + 2*a + 2 = 0, -5*k - 5 = -3*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 15 - 5. Find the second derivative of q**2 - 7*q**c + 2*q - 12*q**2 wrt q.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -6982*c - 21051. Give h(-3).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = -20. Let z(r) = -2*r + 3*r - a*r. Let d(v) = -3*v - v + 6*v + 0*v. Give z(d(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 29*k - 30. Let h be o(1). Solve h = -131*r + 132*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 176346*l - 88174.\nAnswer: 2*(l + 44087)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2 (c) 1202 (d) -35 (e) -5 (f) -0.1 (g) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92220 is divided by 45403?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 429222, -4, -6 in descending order.\nAnswer: 429222, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n + 4. Let p = -108 - -117. Calculate a(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99068 and 1228?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o + 7. Let d(i) = 4*i - 4. Let w = 48 - 53. Determine w*d(n) - 3*y(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h - 813 = -621 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = 4*q, 2*s - 5*s - 2*q + 7 = 0. Let k(r) = -9*r**3 - 2*r**2 + 1. Calculate the least common multiple of k(-1) and -2*(s\/(-2) - 2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 80 = -5*q, 14*q + 4*r = 17*q - 48. Calculate the least common multiple of q and 3596.\nAnswer: 14384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 8)\/((-10)\/3*(-996)\/(-4150))?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 20 = -5*d, -3*d - 3*m - 12 = -4*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1680 and 36408?\nAnswer: 2548560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220010 + -22011001200?\nAnswer: -22011221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043989141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/448 and 19\/6452344?\nAnswer: 361331264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3*13)\/(-13 + 12). Suppose -42*o + d*o + 12 = 0. Solve -4*f = -g + o + 3, -2*g + 2*f = -2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + -33 + (12 - -1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 31*u - 35 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 = -416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/190 and -20\/209.\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(10 - 1)*-27. Suppose 5*m + 5*d = -35, -3*m - 2*d = -3*d + y. List the prime factors of m\/(12\/(-75))*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.052074 + 2.05. Round x to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-175) + 2288\/(-840).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 2*n. Let y(q) = q**3 - 3*q**2 + q + 4. Let z be y(2). Calculate f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395437361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716551.\nAnswer: 3, 100613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 594\/189 - (-3193)\/(-1085)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/5 (c) 2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32041, 28777, 19921, 2677, -25751, -68159, -127343?\nAnswer: -206099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/2 + 19392*a - 62674944.\nAnswer: -3*(a - 6464)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -14 + n**2 - 9*n - 2*n**2 + 11. Let i be t(-6). Find the common denominator of -17\/14 and 7 + -10 - (-81)\/i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7482?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12169 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11212002 (base 3) in base 11?\nAnswer: -2728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3120\/(-455) - 1*(2 - 8). Which is the nearest to 1\/2? (a) 1\/3 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/49*(-1 - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4\/3)\/a**(1\/14)*((a**3\/a)\/a)**45 assuming a is positive.\nAnswer: a**(1831\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 543?\nAnswer: 6\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 575, 561, 543, 521, 495, 465?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-2 + sqrt(13)) + 1*(sqrt(13) + 2))*-6)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380075859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-3)\/10))\/8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -17 + -3 - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02649 times 704\nAnswer: -18.64896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o**(-19)\/o)\/o*o)\/(o**(1\/6)\/o)*(o**(-2\/7)\/o)**(-17))**(-20) assuming o is positive.\nAnswer: o**(-1550\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125983 is divided by 125976.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8708?\nAnswer: 2, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 3, 2\/27, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -314, -319, -326, -335?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = y - 5*b, 0 = 4*y - 0*y + 2*b - 10. Suppose y = 4*o - 3 + 67. Let q = 28 + o. 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: Let q = 6 + -10. Let u(k) = k**3 - 6*k**2 + k - 8. Let i be u(6). Let y be i\/q*-2*-5. Solve -2*b - 9 = -y*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, w: 1, j: 1, b: 4, t: 1, p: 1}. What is prob of sequence jt?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 1316088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2695680 a multiple of 810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44750 + 14901 + 14908 + 2*n + 14941 - 36*n**2.\nAnswer: -36*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.5. Let n be 21\/117 - (-1)\/(-3). Let t = -9 - -8. Which is the closest to 1? (a) t (b) n (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558622 divided by 2.\nAnswer: 279311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w**3 - 5*w**2 + 16. Let o(q) = 2*q**2 + q. Let g(a) = 3*o(a) + v(a). What are the prime factors of g(-4)?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053806 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2352*v - 241. What is the thousands digit of k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 20, -u + 6*u - 5*n - 1025 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 1801 + 1828. Put c, 1, 14, 2 in descending order.\nAnswer: 14, c, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-80)\/(-6)))\/((-24)\/20)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k - 4*o + 50, 7*o = 8*o - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Suppose -19 + 5 = 2*c. Let a be (c\/(-49))\/(2\/4). What is the third smallest value in -1, a, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + j - 5 = -2*q, -11 = -5*q - 4*j. Determine n, given that -152*n**2 - 148*n - 52*n**3 + 8*n**4 + 23*n**3 - 19*n**q + 4*n**5 - 48 = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33b2 (base 14) in base 15?\nAnswer: 29d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 98070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -1\/2*q**3 - 4\/3*q**2 - 2\/3*q + 0 = 0?\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11890 by 1.\nAnswer: -11890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1603 + -0.5603. What is the closest to -1 in q, -71, -27, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -3*q - 5*l + 14, 3*q - 2*l + 17 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -80 + 0*n + 106 - n + 2*n - 25. Let h(v) = 21. Determine h(s) - 21*z(s).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 3*t + 4. Let c be x(3). Suppose -4*p - 44 = -3*g, -4*p - 84 = -3*g - 2*g. Suppose k + g = s, -2*k - 2 = 2*s - c. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6 and (4 - 105)*3\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -717*k + 55. Determine x(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 43577 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*t. Suppose 0 = -t*d + 5*d - 70. Calculate the remainder when 52 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -44*b**2 + 548*b - 12. Calculate k(12).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147 and 28539.\nAnswer: 199773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 1. Let q be ((-18)\/(-15))\/(3 + (-54)\/20). Suppose q*p - 12 = 6*p. Let g(t) = -5*t + 9. What is p*h(d) - g(d)?\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -597.14 + 679. Let z = 15.16 - u. What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 13. Let z(g) be the third derivative of -24*g + 2*g**2 + 0 + 0*g**3 - 1\/12*g**4. Determine z(j(i)).\nAnswer: 4*i - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -424 and 6.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 184. What is the units digit of f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 198, 219, 240, 261, 282, 303?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/27 + 1)\/((-28)\/(-21))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 6*n + 2. Let x(m) = -28*m - 2. Calculate the remainder when x(-1) is divided by a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 6. Let o(t) = 2*t - 15. Let n(w) = -5*j(w) - 2*o(w). Give n(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 9 = -9*b. Suppose 1461 - 576 = b*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wivpfvi. Give prob of sequence vpw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8367517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512883973.\nAnswer: 3, 41, 337, 60623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 - 2*p + 4111. Is z(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (496\/(-93))\/(8\/12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 0*u**2 - 8*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r - 2. Let c be x(-2). Suppose 3*d + c = -5*k + 1, -5*k = -5*d + 35. Solve h - 3*h - 6 = 2*u, d*h + 11 = -5*u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 459 divide 4550067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553 = -28*d + 181*d + 247. Suppose 2*s - s - 1 = 0. Let n = -1 + s. Solve n = 3*l - d*x + 4*x - 9, -7 = -2*l - x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6527 - 3267 - 1180*i**3 - 3260.\nAnswer: -1180*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 9*b - 12. Let y(x) = -2*x**2 - x + 18. Let l be y(-4). What is t(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167\/26 - 90\/13. Sort 0.08, z, 4.\nAnswer: z, 0.08, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16034819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/2 (b) 9 (c) -2.7 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x + 30. Let d(f) = 2*f + 6. Let y(p) = 10*d(p) - 2*w(p). Let h(b) = -147*b - 1. Calculate y(h(v)).\nAnswer: 588*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 25 + 65. Calculate the remainder when 3*1 - 4*z is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:00 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67 and 1.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (530\/(-45) - -12) + 345891\/27.\nAnswer: 23, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1*-2 + sqrt(91) - 3*(sqrt(91) + -1*sqrt(91)))*4)\/((sqrt(63) + (-3*sqrt(63) - sqrt(63)))\/sqrt(9) - 4*sqrt(567)).\nAnswer: -4*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/18)\/((-14)\/(-63)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29212 + -28186. What is the lowest common multiple of 1311 and b?\nAnswer: 23598","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 19*f + 6. Let h be z(-19). Let s(v) = 19*v**3 + 19*v - 13. Let j(r) = -3*r**3 - 3*r + 2. Give h*s(n) + 39*j(n).\nAnswer: -3*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/14 - -1\/2. Let q(x) = -x**2 - 12*x - 23. Let g be 9*(3\/6)\/((-5)\/10). Let s be q(g). What is the closest to -2\/3 in 0.4, s, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 29. Let g = x - -33. Suppose -4*c - g*a + 1308 = 0, 4*c + a = 905 + 415. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - -105 - 52) + -36.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + -2021110?\nAnswer: -2020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 2 (c) 2\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2378 take away -1881?\nAnswer: 4259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5114, 10231, 15348, 20465?\nAnswer: 25582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/9211?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4592 or -0.04?\nAnswer: -4592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64578813 or -64578810?\nAnswer: -64578810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**3\/6 - 3*q**2\/2 - 17*q - 41. Let m(h) = 0 - 4 + 5. What is 2*m(s) + y(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 117334 and 73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 313215.3*0.06\nAnswer: 18792.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*n - 138569560 = 470367200. What is n rounded to the nearest 10000?\nAnswer: 2150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73 + 73. Let i(n) = n**3 - 3*n**2 - 2*n - 5. Suppose 0 = -2*s - 4*l + 28, -2 = -3*s + 2*l - 0. Let t be i(s). Put t, v, -1 in descending order.\nAnswer: t, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h, -3*l - 2*h + 18 = -6*h. Suppose 0 = t - 3*a + 9, -1 = -2*t + a + 1. Which is smaller: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -35*w + 20. Does 21 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 15*w = 2212. Calculate the remainder when w is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 375898 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697760038?\nAnswer: 2, 13, 47, 1389329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0373*-4\nAnswer: -0.1492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:36 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 - s**2 + 6*s + 9. Let i be w(-3). Suppose i*m - 4244 = 32*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1697*b - 244831 = -73434 for b.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-32))\/(488\/32 + -13)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-1 - 3) + -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105950 is divided by 112?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**3\/3 - 5. Let q(f) = 2*f. Calculate q(g(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38 + -11 + 63 + (1 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -453420 rounded to the nearest ten thousand?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2\/95, 83, -0.5 in decreasing order.\nAnswer: 83, -2\/95, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (1512\/513)\/(-28) + 4374\/38. Solve 88 = 3*f - 3*m + r, 0 = 4*f + 3*m + 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**2\/2 - o - 224. Let v(r) = 6*r + 5. Give -5*g(f) - v(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + s + 5. Let k be l(0). Let i be (-36)\/(-60) + (-8)\/k. What is the closest to -1\/4 in -2, i, -6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 + 105. Suppose -p + 2076 = i*p. Suppose -p = -5*o - 64. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - (0 + (sqrt(17) + sqrt(17)*4 - sqrt(17))**2) - 3*sqrt(1088).\nAnswer: -272 - 23*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.415 - -0.4148093. Round w to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 + -400\/3. Let s(f) be the first derivative of -3 + f**2 - 1\/4*f**4 + 7*f - z*f**3. What is s(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/5 + 292*q\/5 + 58 = 0.\nAnswer: -145, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2677 - -2677. Let x(y) = y**3 + 2*y - 27. Give x(d).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s = 0. Suppose -3*n + 0*n + 114 = s. Suppose 5*l - n = 22. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (-51 + 55 - 13).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/(p*p*p\/p**(1\/2))))\/p**(-5))**(2\/47) assuming p is positive.\nAnswer: p**(17\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + sqrt(17) + -2)*-1)**2 + 2.\nAnswer: -288*sqrt(17) + 2594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 d when three letters picked without replacement from {d: 5, b: 3, g: 3, s: 1}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 0\/(-2) - 8\/((-16)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40907 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*c - 166*c = -915*c - 9900 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57510536 divided by -82?\nAnswer: -701348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111121 - 20?\nAnswer: 111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.3, 3\/5, -0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10612, 42502, 95652, 170062, 265732?\n\"Answer: 10630*y**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 921\/40? (a) 2\/3 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -149*t - 2836. Calculate g(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 3*f**2 + 0*f - 3\/20*f**6 + 0*f**4 + 5\/2*f**3 + 0 + 0*f**5. What is the first derivative of n(j) wrt j?\nAnswer: -54*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 2, 976, 1\/8, 3 in ascending order.\nAnswer: -0.8, 1\/8, 2, 3, 976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzppzzpzzzz. What is prob of picking 4 z?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 205 + -114. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 6*y + 52. Let h(d) = 274*d + 33. Calculate the remainder when h(1) is divided by y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**2 - 2782*r + 32318. Give u(-475).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2584 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eox when three letters picked without replacement from {x: 1, o: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b - 18 = 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23311326?\nAnswer: 2, 3, 3885221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -272*m + 96. Let p(z) = -3. What is -a(d) - 32*p(d)?\nAnswer: 272*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.97, 4, -32.5?\nAnswer: -1.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -1, 0, -189, 5, -4 in ascending order.\nAnswer: -189, -4, -1, 0, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/36*-6 - 3\/(-2). Solve 9 = 3*k + 2*k + p*m, 4*k = -m + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**3*z**2 + 2*b**3 + 25*b**2*z**5 - 21*b**2*z - 17*b*z - 4*z wrt z.\nAnswer: -8*b**3 + 500*b**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 - -148. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/(2\/(-2)). Suppose 8*d - 14 - 34 = 0. Suppose a*u + 48 = d*u. Solve -4*g + u = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75*n*o**3 - 663*n*o**2 + 1903*n*o + 10032*n - 210*o**3 wrt o?\nAnswer: 450*n*o - 1326*n - 1260*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-3045 + 3050)*9\/(-1095)\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -5.1, 16?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86500 and 2148500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + 3*114\/38.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 104*q**2 - 2*q + 14. Determine f(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7115837l in millilitres?\nAnswer: 711.5837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 9:31 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504803073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92180 and 299585.\nAnswer: 1198340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2285\/6493?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let x(r) = 25*r**2 - 4. Let q(t) = -t**2 + 1. Suppose 4*c + c + 40 = -4*u, 4*c + 3*u = -31. Let y(v) = c*q(v) - x(v). Calculate y(m(l)).\nAnswer: -21*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:40 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434142 by -144714.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 7. Let f = z - 3. What is the third derivative of 3*y**6 + 2*y**2 - y**2 - 4*y**f wrt y?\nAnswer: 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1106088 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - -1)*(-9)\/3 + 1. Suppose -3*l + 516 = f*g, 4*l + 6*g - g = 689. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**5 - 3*z**3 + 3*z**2 - 7*z. Let u(l) = -6*l**5 + 4*l**3 - 4*l**2 + 8*l. Let g(m) = -4*i(m) - 3*u(m). Find the second derivative of g(d) wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3))\/(1\/(-3)). Suppose -500*b = -5*i - 498*b - 43, 0 = i + 5*b - 40. Sort 6, 2, i, m in ascending order.\nAnswer: i, m, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 527 - 472. Suppose w*r = 10*r + 3960. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j. Let a = 6 + 6. Suppose -2*m = m + a. Let w(o) = 5*o - 4*o - 2 + 3 - 2. Give m*s(f) - 2*w(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 3*(-28)\/(-1). Suppose -69 = r + 5*k + 50, -2*k + 2 = 0. Let x = m - r. Calculate the remainder when 79 is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4080, -8162, -12246, -16332, -20420?\nAnswer: -24510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -605.143 + 0.143. Let m = u + 605.3. What is the nearest to m in 5, 0.3, 0.5, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 15, -5*r + r - 125 = 3*w. Let j = -106\/3 - w. Is 7 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2058 by 114.\nAnswer: -343\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3836 + -0.4536. Let s be (8\/104)\/(1\/(-2)). Which is the third smallest value? (a) p (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 f, and 1 d when four letters picked without replacement from {h: 4, d: 3, i: 3, k: 8, f: 1}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1960 divided by 10\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 5*s**2 + 6*s - 5. Let v be b(5). Let i be (-3 + 3)\/((4\/(-6))\/((-118)\/531)). Let d = i + v. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:23 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 66456956751.\nAnswer: -66456956750.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/20)\/(5\/30)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2. Let b be (-6)\/(-120)*68 + (-4)\/10. Let c(t) be the second derivative of 0 + 0*t**2 + 1\/3*t**b + 5*t. Calculate c(z(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2772 and 49034748.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -22, 16, 100, 218, 358, 508, 656, 790?\n\"Answer: -2*y**3 + 35*y**2 - 53*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.95695 + 0.9769912. Let r = -45.0338412 + v. Let a = -45 - r. Round a to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.68, 2\/41, 2 in descending order.\nAnswer: 2, 2\/41, -0.68, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -193?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.59 - -0.21. Let v = d + -1.713. What is v rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a kilometer in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43289 is divided by 1442?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0383 (b) -2\/9 (c) -0.5 (d) 1 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -462, -468, -478, -492?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**4\/12 + 11*k**3\/3 - 9*k. Let i be a(-22). Suppose -10*t + i*t = -30. Solve -3 = -6*o + t*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 628*t**4 - 439*t - 9 + 24*t**4 + 237*t + 246*t wrt t.\nAnswer: 7824*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26542, -53101, -79664, -106225, -132778, -159317, -185836, -212329?\nAnswer: -238790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7200)*-4)\/(6*(sqrt(10) + sqrt(640)) + sqrt(10)).\nAnswer: 192*sqrt(5)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n - 1. Let f(b) = 7*b**3 + 22*b**2 + 5*b - 5. Let y(k) = f(k) - 5*w(k). What is the third derivative of y(o) wrt o?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197722 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r - 4. Let a be o(-6). Let l = a + 81. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44677?\nAnswer: 43, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -261 + 255 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14941, -14935, -14915, -14875, -14809, -14711, -14575, -14395?\nAnswer: -14165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (0 + 6\/9)\/(162\/153819)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 320206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.2 + -34.2. Let l = -7 + 5. Sort l, -3, -3\/4, z.\nAnswer: z, -3, l, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -162, -453, -870, -1413, -2082, -2877, -3798?\n\"Answer: -63*j**2 - 102*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 45997 = -8*v + 58135. Is 118 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24417403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 7*o**2 - 6*o - 1. Let t be b(-6). Let z be t\/((-15)\/(-6) - 3). Is (-10)\/(7\/(-3) + z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359 is divided by 95.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/9*453\/2 and (6\/(-21) - 4365\/(-1386)) + -2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -388, -1347, -2614, -3925, -5016, -5623, -5482?\n\"Answer: 44*c**3 - 418*c**2 - 13*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/a)**(-7\/5)\/(a**19*(a*a**(-21)\/a)\/a) assuming a is positive.\nAnswer: a**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 81187*r + 81176. Calculate p(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -53*m - 735. Let d be g(-14). Let k(n) = -3 + 11 + 0*n + 2*n. Let j(u) = u + 4. Let l(x) = d*j(x) - 3*k(x). Determine l(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55175 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 - 3*m + 2. Let o(t) = -27*t**2 - 11*t + 18. Let k(u) = -8*u**2 - 4*u + 6. Let h(d) = -19*k(d) + 6*o(d). Give -14*a(v) - 4*h(v).\nAnswer: -2*v**2 + 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 443342212 (base 5) to base 16\nAnswer: 1d82e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 682 + -678. Let g(u) = -u**2 + 5*u + 1. Suppose l - 8 = -4. What is the remainder when g(l) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**5\/60 + 7*b**4\/12 + 11*b**2 - 15. Let r(g) be the second derivative of h(g). Is r(8) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 1242 + 1158 = 0. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 - 47. Let v(q) = 3*q**3 + q**2 - 1. Let z be v(1). Suppose o = -5*i + 233, 3*o - i + z*i = 751. What is the greatest common divisor of o and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 52, 2, -30, -20, -3 in increasing order.\nAnswer: -30, -20, -3, -2, 2, 12, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 961*p + 78393. Calculate z(90).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**5\/60 - s**4\/8 - s**3\/2 + s**2 - s. Let o(a) be the first derivative of m(a). Is o(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 2*m + m + (24 - 5 + 2)*(0*m + m + 0*m).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398203 and 7111.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/4 + (-8)\/(-16). Let u be (-2 - 4) + 3 + j. Suppose -64 = -u*y + 72. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2980 + 3200 = -22*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -55. Solve -4*b - w = -f + 18, 2*f = 3*b + 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 199*v - 197. Give y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 + 8*j - 1. Let f be y(-2). Put -3, f, -24 in increasing order.\nAnswer: -24, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*b - 109947 + 1787 = -211*b. Let z(a) = 27*a**3 - 2*a**2 + a. Let m be z(1). What is the greatest common divisor of m and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*a - 10 = 0, 57 = 5*x - 117*a + 118*a for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12*0)\/(1\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 86*v**2 + 6*v. Let y(k) = 398*k. Calculate a(y(p)).\nAnswer: 13622744*p**2 + 2388*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 = -k. Let h(w) = w**2 - 5*w + 6. Let s be h(k). Let m = 8 + -3. Solve m*j - 4*u + s*u = -15, 4*u - 23 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/7))\/t)\/t*t\/(t**(-3)\/t)*(t*t**(-2))**(-40)*(t*t\/(t**0\/t))**(-1)\/((t**(1\/9)\/t*t)\/t**5) assuming t is positive.\nAnswer: t**(2882\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -130*m + 1954. Is y(-48) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of 9*x**6\/20 - 816*x**5\/5 + 16135*x**4 + 74176*x**3 + 44652*x**2 - 350*x. Find n such that a(n) = 0.\nAnswer: -2, -2\/9, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480.155 nanoseconds in seconds?\nAnswer: 0.000006480155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-2\/11)*m)\/m*m*m**(-8)*m)**(-34)\/((m**(-1)\/(m*m**(5\/4)))\/((m**(-1\/3)\/m*m)\/(m*(m\/m**(2\/5))\/m*m))) assuming m is positive.\nAnswer: m**(86549\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 404637712 to the power of 1\/2, to the nearest integer?\nAnswer: 20116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -8\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 6}. Give prob of sequence fa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 12*a**2 + 4*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 7085 - 2093 = 0. Let j = 1120 + b. Calculate the greatest common divisor of j and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5046803 and -22.\nAnswer: -111029666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4240283 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 - 18421*j**2 - 36830*j - 18413 = 0. Calculate j.\nAnswer: -18413\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 338327.3 to the nearest one hundred.\nAnswer: 338300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -l + 10, 2*l - 3*m + 2*m - 23 = 0. What is the greatest common divisor of 88 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 2 = 14*h. Let n = -0.8 + -4.2. Let d = -3 + 3. Which is the second biggest value? (a) n (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 9*i - 260. Let f be (110\/(-64))\/(26\/i). Which is greater: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*11\/1155*21*-1*5\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/106, -2, -74, -255?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v**2 - 36*v - 36. Let u(c) = -c - 1. Let k(m) = 2*d(m) - 72*u(m). Let o = -3575 - -6024. Let n(r) = 2449 + r**2 - o. Give k(n(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14295 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 129578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -202*b*l**4 + 10*b*l*x - 27*b*l - l**3*x - l*x - 3 wrt l.\nAnswer: -2424*b*l**2 - 6*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.141212 to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + v - 5*v + 1442812, -2404686 = -5*j - 7*v. Round j to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - i**2 - 1. Let x be m(2). Suppose 5*d - y = -0*y + 45, 4*y = 3*d - x. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6396 is divided by 107?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u. Let z(f) = -94*f - 22. Let d(m) = 8*k(m) + 4*z(m). What is the first derivative of d(b) wrt b?\nAnswer: -416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -406 at least -402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + y = -3, 5*j + 3 + 2 = -2*y. Let k = -63 + 184\/3. Which is the nearest to j? (a) k (b) -6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2481464 is divided by 103.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + -64 + (32 - 15) + -12?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*p - 90, 0*x - x + 4*p = -6. Let d = x + 28. Suppose -4*h = 3*b - 4 - 25, 4*h = 2*b + d. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9*z + 67. Let d(l) = 4*l + 34. Let k(w) = -5*d(w) + 2*o(w). Let m be k(-19). Suppose 2 = 5*y - 3, -m*n + 4*y = -10. Solve -n = -5*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 40*t - 22080. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 4*s + 2*s)*(-234 - 10 - 155).\nAnswer: -798*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43952 - -878927\/20. What is the common denominator of (6\/(-16))\/(3\/(-162)) and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/15 - h**4\/2 - 9*h**2. Find the second derivative of u(r) wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 42218826.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12426.26 litres in millilitres?\nAnswer: 12426260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 11, q: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -0. Let o(g) = 5*g**2 - 328*g - 133. Let a be o(66). Is 11 a factor of (0 - r)\/(92\/88 + a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.66 + -2.35. Let j = -0.56 + 0.06. Let t = r - j. What is t rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6150 is divided by 515.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 860944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029 divided by -1029?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3476 divided by -64.\nAnswer: 869\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 19*l**3 - 2*l**2 - 14*l. Let q(v) = -96*v**3 + 11*v**2 + 69*v. Let s(i) = -11*b(i) - 2*q(i). What is the second derivative of s(p) wrt p?\nAnswer: -102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198 - 162. Suppose 33*x - u = 37*x. Let d(j) = j**2 + 8*j - 6. Give d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 53.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133172535?\nAnswer: 3, 5, 431, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/13)*p**(-1\/10) assuming p is positive.\nAnswer: p**(-3\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5334)\/(-8) + (-9)\/12. Let z = 1101 - l. Does 33 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(2 + sqrt(612) + -3) + -5 + 4)**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 3, -7, 1.1, 1.4, 11\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/5)\/(c*c**3*c)*(c*c\/(c\/(c\/(c*c**(-1\/2)))))\/c**(-3\/8) assuming c is positive.\nAnswer: c**(-109\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, s: 3}. What is prob of sequence sf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 99632*p + 14967300.\nAnswer: -(p - 150)*(p + 99782)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**4 + 5*w**4 + 3*w**3 + 0 - w + 0 in the form l*w**3 + t + i*w**4 + h*w + k*w**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 6. Let z be o(-4). Let y be 3*(8\/6)\/z. Let j(k) = -2*k + 3*k - 2*k**2 + 3*k**y. Determine j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 373491 times -55\nAnswer: -20542005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 73085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/((c*c**(-11))\/c*c))*c**8*c**0*(c\/(c**(-1\/4)\/c))\/c*c assuming c is positive.\nAnswer: c**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/11 - 7515\/495) + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/9, -8\/11 in decreasing order.\nAnswer: -1\/9, -8\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s + 27*s**2 + s + 2*s to m + g*s**2 + v*s and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**2*w + 8*l**2 - 189*w + 10 wrt w.\nAnswer: 2*l**2 - 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**2 + 18*g + 43. Let a(k) = 7*k**2 - 12*k - 29. Let r(p) = 7*a(p) + 5*l(p). Let n be r(6). What are the prime factors of -1*60*(-6)\/n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1209*i**3 - 6*i**2 - 10*i + 10. Let h(k) = 604*k**3 + 2*k**2 + 4*k - 4. Give -5*h(p) - 2*u(p).\nAnswer: -602*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3182 (base 10) to base 15.\nAnswer: -e22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 - m. Let v be b(-1). Let z(k) = -3*k - 73. Let j be z(-25). Suppose 3*a - 27 = -v*f, -a - 4 - 2 = -j*f. Which is smaller: 33\/8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/10, 0.4, 5, 1, -283\/7?\nAnswer: -283\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 220401136 + -5?\nAnswer: 220401131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5*(1 - 6). Suppose g - 3*c = -3, 5*g + 7*c = 4*c + 21. Suppose -o*l - 6 = 5*s + 9, -9 = -3*l + g*s. Solve l = 2*r - 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 5 - (4 + -1 - -645). Let g = 684 + q. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - -3 - (-5 + 2) - -275. Suppose -2*n = -s - 504. List the prime factors of n.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*k - 3 = 5, -5*l + 5*k = -20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - p = -3 + 32, -p = 2*v - 21. What is the greatest common factor of 125 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, m: 1, p: 1, o: 1}. What is prob of picking 1 o and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from {v: 1, a: 4, j: 2, b: 2, g: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51*x + 173*x + 18670 + 7762 for x.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(960)*-3)\/sqrt(5))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001668 to six dps.\nAnswer: 0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 289193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from seeessseeeeeeeeseeee.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let n(x) = -7*x - 5. Let h(l) = -n(l) - 6*y(l). Let u be h(-2). Solve -3*o - 2*g - 3 = -g, -u*g + 1 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -104. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1\/5, -3, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.580068 to the nearest integer.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -916 from 238.20798.\nAnswer: 1154.20798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-430)\/86)\/(5*-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8322*n**2 + 3060*n**2 + 2237*n**2 + 3040*n**2.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**3 - 5865182*z**2 - 18*z**3 + 5865182*z**2.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 12 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = q. Let d be (q\/15)\/((-1)\/6). Which is bigger: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258 and 942503928?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2219953749?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - o**2 + 12*o + 7. Let p be c(-5). Let l = p + -44. Find the second derivative of -21*n**3 + 9*n + 30*n**3 - l*n wrt n.\nAnswer: 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 27. Let h be (1\/(-4 - -3))\/(s\/6). Suppose 3*u = 4*k - 2708, -2031 = -h*k - k + 4*u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44002120011 - 2?\nAnswer: 44002120004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*z - 144 = z, -3*x + 115 = 4*z. Suppose 6*u = 17*u - x. Solve 3*v + 9 = u*h, -2*h + 2*v = 3*v + 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**4 - 19925544*i**3 + 39851055*i**2 + 139478754*i + 79702152 = 0.\nAnswer: -1, 4, 6641846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 723 + -222. List the prime factors of o.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -176810*k. Let f(s) = 604*s. What is r(f(d))?\nAnswer: -106793240*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4534585 is divided by 4534570.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/2))**(2\/185)\/(w**(-6\/7)\/w**(-2\/39)) assuming w is positive.\nAnswer: w**(41519\/50505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30434, 29272, 28110, 26948, 25786?\n\"Answer: -1162*t + 31596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 21, 0, 2\/5, 88?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1747.8, -2\/5, 40\/13 in ascending order.\nAnswer: -2\/5, 40\/13, 1747.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 2*i**2 + i - 4. Let h be y(3). Let a = -7 - h. Let p = -40 - -43. What is the least common multiple of a and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301257*n**2 + 100320*n**2 + 100287*n**2 + 100381*n**2.\nAnswer: -269*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -416*k - 15 - 418*k + 14 - 599*k + 117*k to h*k + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -10, -10, -8, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 + 2.4. Which is the nearest to h? (a) 0.2 (b) 2 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 + 4496*w**2 + 68236*w + 118456 = 0. Calculate w.\nAnswer: -13, -2, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 70 = -14*j. Let s be (j - -3 - -8) + 1. Factor -121*q**s + 242*q**5 + 6*q**4 - 118*q**5.\nAnswer: 3*q**4*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 61124*y - 366740. Calculate j(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*p - 1994 - 420, 3*p - 5*a - 1813 = 0. Suppose 2545 = 11*w - p. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*k - 5*l + 9, -2*k - 4*l + 16 = 0. Let a(d) = -63*d - 5 + 15*d**2 + 39*d - d**3 - 2*d**k. Is a(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 2*g - 1. Suppose 0 = -3*r + 1 - 4. Let t be j(r). Suppose 2*d = -t*d. Solve 0 = 2*o - d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 85. Is 4\/15 at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 3140214?\nAnswer: 3140211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 27338158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -4, -4*x + 5 = -63*q + 64*q. What is the third biggest value in -1, x, 3, -1\/6, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -5 (c) -0.5 (d) -0.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 26, 2760 in ascending order.\nAnswer: 26, 139, 2760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z + 534 + 1047. Let a be 3\/2*(338\/(-39) - -12). Sort 1, z, a.\nAnswer: z, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*l**3 - 12*l**2 - 11109*l - 2 wrt l?\nAnswer: -888*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07227 + -5?\nAnswer: -4.92773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648762774?\nAnswer: 2, 3, 11, 9829739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 3. Let x = y + -25. What is the smallest value in -4\/5, 0.2, x?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 10 = -4. Let j(c) = -c + 2. Let f(h) be the second derivative of 1\/6*h**3 + 0 - 33*h - 1\/2*h**2. Determine q*f(t) + j(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0, -21, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-6)*162\/(-9))\/(14\/24). Factor 40\/7*f - o - 4\/7*f**2.\nAnswer: -4*(f - 9)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 9 + -2 - -2. Let u(s) be the first derivative of s**2\/2 + 2. Is u(q) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 116 + 3 = -37, 3*f + f + 35*o = -1824 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -262*j - 254. Let a(f) = 52*f + 51. Let o(c) = -11*a(c) - 2*m(c). Differentiate o(r) wrt r.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -308, -267, -226?\n\"Answer: 41*h - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 - 3*f**2 + 0*f**2)*(0 + 0 - 4)*(5 + 11 - 5)*(-f + 6*f - 4*f).\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s = 2*q + 16, -q + 7 = -5*s. Suppose -32 = 5*u + 2*z, -13*u - 3*z = -17*u - 44. What is the third smallest value in u, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1745\/88 + 123\/8. Let z = 128747851839\/5330 - 24155322. Let g = -3\/533 - z. Calculate the common denominator of c and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3) + 7 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 + 1. Let p be v(-1). Let b = 6994 + -7460. What is the units digit of (21\/(-1 + 8))\/(p\/b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a microgram in nanograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 t, 1 n, and 1 v when four letters picked without replacement from {n: 1, h: 1, v: 2, t: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 24*c + 12 = -27*c, -5*l = -4*c + 17. Let j = 6 - 24. Let r be (-60)\/l + 12\/j. Solve p - r = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1224 - 4?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8677107, -8677108, -8677109, -8677110?\nAnswer: -8677111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + l - 82*l = -3719892. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:26 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/30232 and 15\/64?\nAnswer: 241856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 304360601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2*r + r)*(2 + 0 - 5).\nAnswer: 3*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16618778 by -2.\nAnswer: -8309389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppxpppx. Give prob of sequence xpp.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110101000100101 (base 2) to base 7.\nAnswer: -142136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*s**5 + 6*d*s - 2*d - s**5 - 8*s**2 + 2*s wrt s?\nAnswer: 20*d*s**3 - 20*s**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 3*b**2 - 2*b + 3. Let y be u(2). Suppose 4*x - y = 1. Solve 0 = r - 3 - x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14100375 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 5*y + 6. Suppose -2*l - 37 = -3*s - 0*l, 0 = y*l + 10. Let 0*t**2 - 5*t**2 + 11*t + s*t - 5*t = 0. Calculate t.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 + 2 = 0. Let w(l) = -3999998*l + 2. Let j be w(y). Let v be 14\/21 + j\/6. What is v rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 4338509*g + 4338511*g + 29, -5*g - 140 = -d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*g\/((g*(g\/g**(-13))\/g)\/g))*g)**(-8\/7))**(8\/7) assuming g is positive.\nAnswer: g**(-768\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.67 - -3.67. Let d = -261 - -287. Which is bigger: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.282946 rounded to 3 decimal places?\nAnswer: -0.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) -0.009 (c) 8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.1 - -10.9. Which is the nearest to -2\/3? (a) x (b) -1\/4 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = v - 15, 4*v + 0*v = -q + 15. Solve -2*x + 41 = 2*x + v*w, -5*w = -25 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 13*i**2 + 3*i + 8. Let b = 2 - -5. Let p be m(b). Is (-1)\/(5\/p) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (20\/(-6))\/((-1)\/(-3)). Let c = a - 21. Let g = c + 53. What is the lowest common multiple of g and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8282 + 8273 - 24830 + 4*n + 8275.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*y + 157*y = 166. Let u = y + 83. Solve a + 0*a + 1 = u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26*(1 - (-2 + 5))*(-3)\/12.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 349647 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 9339.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5952 = 11*u - 5996 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 32*w**2 + 47*w - 30. Is l(-30) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -454 + 267. Let p = l - -163.2. Let o = p - -24. Which is the nearest to -5? (a) o (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12471555 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 2*d + 5. Suppose x = -5*b + 7, 3*x + 4*b + d = 11. Calculate the highest common factor of x and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(sqrt(250)\/sqrt(2)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 7, z: 1, w: 4, i: 1}. What is prob of picking 2 v?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1000 and 4241375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5645 + 4d42?\nAnswer: a587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 135 = 7*v. Suppose 0 = -x - 2*h + 49, 3*h = -5*x + h + 253. Let j = x + v. Calculate the highest common factor of j and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692515619 a multiple of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 332061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140454 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b*(b**21\/b)\/b))\/b)*b\/(b\/(b\/(b**(-1\/32)\/b))))**(-14\/3))**(4\/3) assuming b is positive.\nAnswer: b**(-5159\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 4, 4*p - 105 = -5*o. Let a = 3 + p. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - q - 1 + (0 + 0 - q)*(2 + 1 - 5) + 17 + 3*q + 3*q - 5*q + 2*q + 2 - 2 + (-q - 2*q + 4*q)*(-3 + 3 + 2) + q + q + 0*q + (2*q - 2*q - 2*q)*(3 - 1 - 4).\nAnswer: 12*q + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 82064 divided by -3568\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7 - 3459*b + 3466*b + 2. Let d(s) = s - 1. What is -6*d(g) + u(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)*((-30)\/9)\/5. What is the closest to -1\/8 in 12, 2\/5, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**4\/12 - 3*l**2 - 23*l + 297. Let a(m) be the second derivative of d(m). Let q(v) = 21*v - 2. What is q(a(o))?\nAnswer: -42*o - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16\/(l*l**20*l))\/(l**9\/(((l*l\/l**(7\/5))\/l)\/l)) assuming l is positive.\nAnswer: l**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {k: 5, t: 11}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 764\/13 (b) -0.4 (c) 0.5 (d) -9 (e) 2 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/588 and 83\/902748?\nAnswer: 6319236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 3. Suppose -v = 4*v - 15. Suppose 5*u - 46 = -3*q, v*u = -4*q - 2*u + 53. Let f be w(q). Solve f*m + 12 = -0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtt when three letters picked without replacement from {m: 5, d: 3, q: 2, t: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -228 + -1356995\nAnswer: -1357223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011101 - 0?\nAnswer: 10011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4018869 - 0.2\nAnswer: -4018869.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*l**5 + 169 - 7*l**2 - 169 wrt l?\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1965\/3 - (8 + -6). Is n >= 653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4215982 by 13.\nAnswer: 4215982\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**48*k*k)\/(k**39\/k)*(k\/k**(-46))\/k**(-1\/4))**(-2\/3) assuming k is positive.\nAnswer: k**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/178 and -88\/147.\nAnswer: 26166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80\/1643123 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) - (-840)\/224. Suppose i*s - 36751 = -7*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**3 + 11*u**2 - 2121*u + 12722. Give y(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -583*z + 1058*z - 790*z + 8*z**2 in the form i*z**2 + b*z + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 75282.79us?\nAnswer: 75282790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*3\/(-4)*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*w - 101. Suppose 0 = -5*q - 98 + 18. Let x = 26 + q. Calculate the remainder when w is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(1\/5)))\/i**(6\/17))**(-9) assuming i is positive.\nAnswer: i**(117\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3828610 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.5 - -17.5. Which is the closest to 2? (a) 4\/9 (b) v (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*l = -254*l + 22. Let x(d) = -d**3 - 2*d**2 - 3*d - 6. Calculate the least common multiple of l and x(-6).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72411?\nAnswer: 3, 24137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/10))**25*o*o**(-1\/8)\/o*o*o**(1\/4))**(7\/4) assuming o is positive.\nAnswer: o**(1603\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2710*a*i**3*l**2 + 14*a*i**2*l**2*m - 10*a*i**2*l**2 + 2*a*i**2*l - 22*a*i*l + 34*i**3*l**2 - i**3*m - l**2*m wrt i?\nAnswer: -16260*a*l**2 + 204*l**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5018.94 + 5019. What is the closest to 0.1 in b, -3, 6\/11, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004694 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 33*n + 1062. Calculate the remainder when 108 is divided by t(-31).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from iqotfeefq?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 1*(-3 - -10). Let m(n) = n**2 + 8*n + 5. Let c be m(x). Suppose 2*u = -3*b + 9, -b + 7 = 3*u - u. Put 4, c, u in decreasing order.\nAnswer: c, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 + -1230122?\nAnswer: -1230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 67, 123, 179, 235, 291, 347?\n\"Answer: 56*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 3:10 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9 + (1368 + -1395 - (-26 - -1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -77*n - 138. What is z(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a = -5*f + 46, -42 = -3*f + 3*a. Calculate the remainder when 27 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3 - 12800*z**2 - 10240000*z = 0.\nAnswer: -1600, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2 + d + 48. What is l(0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 10. Let l(k) = 6*k**2 - 9*k + y + 2*k + k - k**3 + 5*k. What is l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(-7)*q))\/q)\/q)\/(q*q**(2\/15)))**(-41)*(q*q**1)**(-2)\/(q**(3\/2)\/(q\/(q*q**(1\/4)*q))) assuming q is positive.\nAnswer: q**(-9917\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/5 + 6\/(-15). Suppose 2*z = -2*u + 52, -n*u + 3*z + 122 = -0*u. Let q(h) = 3*h - 9. Calculate the remainder when u is divided by q(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/139, -66, 3, 36.72?\nAnswer: 36.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1932308 and 168?\nAnswer: 11593848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 668*x - 337*x - 350*x as j*x + r and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/2)\/((-4925)\/43340)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 591*p**2 + 67*p + 138. Calculate the remainder when i(-2) is divided by 139.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-1 + -4 - 2). Let n = 17 - 9. Let z(x) = -l + x + n. Determine z(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((-3 + 4 + 0)\/(-5)). What is the smallest common multiple of 4 + (j - -14 - 5) and ((-10)\/3)\/((-2)\/12)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61118201.8007417 - 62102841.70074. Let a = u + 984640. Let y = -0.1 + a. Round y to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 944?\nAnswer: -939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1620 + 1616.055. Let g = -4 - t. What is g rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 3*m - 2*m)*(0*m**2 - m**2 + 0*m**2) + 805*m - 805*m + 28*m**3 + 0*m**3 - 2*m - m**3 + m.\nAnswer: 28*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*r + 23. Suppose 5*w - 226 = 3*u, 3*u = r - 2. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osos. Give prob of sequence so.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 5. Let g be t(-4). Let a(m) = 3*m**3 - m**2 + m - 6. Let s be a(2). Let y(b) = 19*b**2 - 26*b**2 + 6*b**2 - s*b**3. What is y(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.55788892 - -4403\nAnswer: 4423.55788892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26 - 10*m**4 - 21*m**4 - 18*m**4 + 15*m**4 wrt m.\nAnswer: -136*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 10. Let f = -20 + z. Let q = -2.3 + 2. Which is the smallest value? (a) 3 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 15) to base 8.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-9 - -4) + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nononnolnnonn. What is prob of sequence lnn?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/16 - 125*b**4\/6 + 335*b**3\/8 + 2439*b. Factor i(y).\nAnswer: -5*y*(y - 1)*(y + 201)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**4 + 4\/5*j + 6\/5*j**5 + 2*j**2 - 2*j**3 + 0 = 0.\nAnswer: -1, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-225)\/12)\/(-5)*(-158)\/1580.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 + 31*k**2 + 9*k + 55. Calculate w(17).\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0687 - 83.6313. Let f = -84 - w. Let k = -0.2 - 1.8. Which is the second biggest value? (a) k (b) 1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2902760071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159005 is divided by 2695?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4465285221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -888, -892, -898, -906, -916, -928?\n\"Answer: -n**2 - n - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 2:15 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1075200 and 11\/17971200.\nAnswer: 125798400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -11. Let j(g) = 6*g + 1. Let c(h) = -3*h - 1. Determine x*j(d) - 5*c(d).\nAnswer: -3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*j - 1, -5*p + j - 11 = -p. Let g(w) = w + 6. Let c be g(p). Suppose -r = 4*f - 203, f - 11 = -c*r + 31. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 1:47 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = x - 6*c - 9, 0 = 4*x - 5*c - 6. Let z be (x\/(-2))\/(5\/(-60)). Let v = 10 + z. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(132)*1)\/sqrt(6))\/sqrt(11))**2 + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 1 + 1)*(22 - 5 + 31)*(t**3 + 0*t**2 + 0*t**2) in the form w*t**4 + g + y*t**3 + b*t**2 + j*t and give w.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.62, 14, -1000, -9\/4 in descending order.\nAnswer: 14, 0.62, -9\/4, -1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14355, 14354, 14353, 14352, 14351, 14350?\nAnswer: 14349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 8*n**2 + 6*n + 1. Let y be ((-354)\/15)\/(4\/(-10)). Let a = y - 66. Determine k(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 9. Let l be c(3). What is the closest to l in -5\/4, 3, -9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-135) + (-66)\/110. Let y = w - -26\/27. What is the nearest to -2 in -4, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -24 + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 10*n - 42 = 0, -6170*w + 6174*w - 24 = -4*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 177 + -6 + 10 + -5. What is the highest common divisor of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > 438163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/9 - (-1)\/3. Let g = 0.05 + -4.05. Which is the closest to 0.1? (a) g (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -148, -369, -670, -1051, -1512?\n\"Answer: -40*v**2 - 21*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**4 + 2579830*h**3 - 332768401865*h**2 - 1996680067140*h - 2995054928820 = 0. What is h?\nAnswer: -3, 257986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/5))\/z*(z*z**19*z*z)\/z*(z*z**3)\/((z\/(z*(z\/((z\/z**(-28))\/z))\/z*z*z))\/z) assuming z is positive.\nAnswer: z**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 z, and 1 m when four letters picked without replacement from zmzzzzztzzztzzmazzz?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 - 410*n**4 + 20806*n**3 + 21218*n**2.\nAnswer: 2*n**2*(n - 103)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 2*f**3 - f**3)*(f + 0*f + 2*f) + 2180*f**4 - 6268*f**4 + 2618*f**4.\nAnswer: -1467*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:26 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 57*a - 165. Calculate o(46).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m - 2*m. Suppose m*c - 9 = 2*c. Suppose 0 = -c*t - 0*t. Solve t = -4*h - 2*j - 18, 0*j + j = -3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -735361250*q**3 - 230100*q**2 - 18*q = 0.\nAnswer: -3\/19175, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 25. What is the remainder when g is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 8. Let u(d) be the second derivative of -d**3\/6 + 11*d**2\/2 - d. Let v be u(11). Let k(g) = 2*g. Let s be k(v). Determine b(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -t**4\/4 + 2*t**3 + 9*t**2\/2 - 6*t - 1. Let d be h(7). Is d greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38050.3507+-0.1\nAnswer: 38050.2507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-10))\/(((-40)\/(-5))\/40)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 + 5*u**2 - 9*u - 6. Let z(t) = 6*t**3 + 7*t**2 - 14*t - 9. Determine -7*v(s) + 5*z(s).\nAnswer: 2*s**3 - 7*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 20 = 5*q, 5*q + v = -4*v - 15. Suppose -2*i = -5*i - 4*k - 19, 4*k = -16. What are the prime factors of q\/2 - 49\/(i - 0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6*v**3 - v**2 - 9*v + 23. Let y be l(4). What is the greatest common factor of 71 and y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 108.\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-3)\/2)*116. Let f = q + 98. Is 2 a factor of f\/12 + 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11224244 (base 5) to base 4.\nAnswer: 120313000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5088, 4963, 4848, 4749, 4672, 4623, 4608, 4633?\nAnswer: 4704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q. Let h(p) = 13*p + 1 - 5 + 4. Give l(h(j)).\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -44, -245, -746, -1685, -3200, -5429?\n\"Answer: -23*m**3 - 12*m**2 - 4*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 129852418 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 411019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j**3 + 2*j**2 - 1. Let h = -288 + 244. Let q be (-19)\/(1463\/h) + (-6)\/(-14). Determine c(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3641 divided by -94300?\nAnswer: -3641\/94300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 1. Suppose 13 = 4*s - 3. Let a(u) = -11*u - 15. Let h(i) = s*p(i) - a(i). Let v be h(-10). Round v to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p. Let q(u) = 4*u - 1. Let a(o) = q(o) - 2*v(o). Let w be a(3). What is the nearest to 2 in -0.2, -2\/13, w?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 476.6 + -480.662. What is o rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(1\/4))\/t)\/t**(-2))**(-1\/34) assuming t is positive.\nAnswer: t**(-11\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4722675262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (6 - 3)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4\/5, -110, 5\/7, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g + 4 - 7*g - 6*g**2 - g**3 + 13*g. What is s(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 207533?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52991018*o**2 - 963*o + 341?\nAnswer: 105982036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2020 - 5?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*c**4 - 15*c**4 - 2*c + 3*c**2 + 0*c**3 - 2*c**3 - 13*c**4 - 2 in the form y*c**4 + l*c**3 + d*c + z*c**2 + p and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 349025.7 micrometers in millimeters?\nAnswer: 349.0257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1826 - -1830. Solve -5*w = 2*h, -5*h - w - q = -27 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 15926. Let b(q) = 2*q**2. Give f(b(n)).\nAnswer: 2*n**2 - 15926","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -33. Solve 6*u - 4*k = u - 19, 5*u = -4*k - i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**4 + 1357*b**2 + 132*b + 1210852?\nAnswer: 4*b**3 + 2714*b + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3000\/68 - (-308)\/(-7)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83\/(-11) - 588\/(-1078) - 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 738851, 1477701, 2216551, 2955401, 3694251, 4433101?\n\"Answer: 738850*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(120\/(-768)*-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -856, -1731, -2624, -3535, -4464, -5411?\n\"Answer: -9*b**2 - 848*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1. Let f(v) = -v**2 + 13. Let m be 2*(3 - (-20)\/(-8)). Let d(q) = m*f(q) + 4*s(q). Factor d(y).\nAnswer: -(y - 3)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 58 + -75 + 37 + 19\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(sqrt(204) + sqrt(204)*-2) - (sqrt(204) - -5*-2*sqrt(204))))\/(-6*-2*(sqrt(432) + 3*sqrt(432) + sqrt(432))).\nAnswer: -2*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - 20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2845*s**4 - s**3 + s**2 + 17920*s.\nAnswer: -34140*s**2 - 6*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/(a\/a**(-1\/3)))\/(a**(2\/5)*a**7)*(a**(-1))**(-1\/26)*a**(-2\/5)*a**(-2) assuming a is positive.\nAnswer: a**(-8849\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*l = 63 + 237, -4*s = 2*l + 246. Let f = s + 205. Is f a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - (-12 + 29 + (-2 - 2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200713 (base 11) to base 12.\nAnswer: 1365399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658762.\nAnswer: 2, 13, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 10556*d - 733131. What is b(69)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.38 + 4.62. Which is the smallest value? (a) h (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -37*g**2 + 4. Let u(k) = 22*k**2 - 3. Let y(s) = -3*t(s) - 5*u(s). What is y(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4490, 4489, 4488, 4487, 4486?\nAnswer: 4485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 3 + 4 - 3)*(x**2 - 5 + 5 + (0 + 0 + 1)*(x**2 - 6 + 6)).\nAnswer: 2*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 340562 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3079 + 222.1742068.\nAnswer: 3301.1742068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24\/95 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)*i**2)\/(i**(-1)\/(i*i\/(i\/i**3*i))) assuming i is positive.\nAnswer: i**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/4 in -0.1829, -8, -0.4, 3\/8, 2\/11?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d - m = -92, 3*d + 4*m - 62 = 0. What is the remainder when 53 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1704, -1736, -1770, -1806, -1844, -1884?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -312 + 312. Solve 3*g - 5*j - 19 = h, -g + 5*j + 7 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 2:32 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 2*r - 6 = 0, -3*r = -2*t - 2206 + 2198 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-18) - (-4476)\/216*3. Solve 17*v = -4*v + s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 <= 556478\/1223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -549 + 559. Solve 0 = -2*m - 5*f + w, 2*m - m + 2*f - 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 15*b - 65. What is the hundreds digit of k(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1290 divide 9424740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 141 + 160 - 51.\nAnswer: -p**3 + 250","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2100 by -700.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -393437.\nAnswer: 13\/393437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 108704.7263004 minus -0.4?\nAnswer: 108705.1263004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 301419 - 301419 + 25*b. Let c(l) = -5*l + 2*l + 4*l. Give c(q(m)).\nAnswer: 25*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 16*g - 23. Let l be f(14). What is the tens digit of 1*(410 - (1 + l))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -51, -5, -2, -1, -26.38, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 + 97 - 247 - 2*l)*(-2*l + 3*l - 3*l + 2).\nAnswer: 4*l**2 + 44*l - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.1, -357, -1\/6, -312\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2015, -2667, -7349, -12031?\n\"Answer: -4682*a + 6697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -131?\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4769045959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238 = 28*t + 6*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 1158752*b - 335676549376.\nAnswer: -(b - 579376)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-36)*15*1272\/5300\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 3*r + 7. Let o(b) = 3*b**2 - 2*b - 6. Suppose 108 = -36*v + 36. Determine v*m(f) - 3*o(f).\nAnswer: -3*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 92 + -39 + -15 + -15\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011110001010 - 100110?\nAnswer: 10011101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -15 + 11. Let b be -29*(-2 + u\/1). Let k = b + 18. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45780?\nAnswer: 2, 3, 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11872472426700 - 4.\nAnswer: 11872472426696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 677 is divided by 172?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 10 = 4*q, 19*d - 16*d + 5*q + 21 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 401 (base 7) to base 8\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**2*m**2 + 862*b**2*m*y**3 - b**2*m*y**2 - 7*b**2*m - b*y**2 + 484098*m**2*y**3 - 2*m*y**3 - 2*y wrt m?\nAnswer: 18*b**2 + 968196*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 3\/(-4)*-124. Let v = 118 + 71. Let x = v + h. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*j - 267 = 0, 3*v - 263 = 2*v + 3*j. Let y = v - 109. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5945299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 56 = -4*k. What is the lowest common multiple of k and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + g + 1. Let m(k) = -k**2 + 19*k - 37. Let i be m(17). Let b(w) = -3*w**3 + 4*w + 4. Calculate i*b(s) + 12*r(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344\/(-28)*(-2233)\/58 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(195)*-2*-6 - sqrt(195))\/((-2*sqrt(30))\/sqrt(6)))\/((sqrt(165)\/(sqrt(11) + sqrt(33)\/sqrt(3)))\/(-1*sqrt(320))))**2.\nAnswer: 100672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78457 rounded to two dps?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 6:15 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1204406*a**6 - 2*a**4*i - 907*a**2*i + 4*a**2 + 2*a*i + 7*i + 1 wrt a.\nAnswer: -144528720*a**3 - 48*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -77, -2\/15, 49, 2.1?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2945*u**2 - 9*u + 15. Is i(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21337726.\nAnswer: 2, 107, 99709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 412283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 7. Let q(n) = -2*n**2 + 10. Suppose -5*k - 57 = -17. Let a(h) = k*x(h) + 5*q(h). Let g(z) = -4*z**2 - 13. Determine -13*a(p) + 6*g(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20824006031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 2, 1, 11, -3, 8\/9?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 - 36\/(-14))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) - (sqrt(98) + -3 + sqrt(98) - sqrt(98)) - sqrt(98) - sqrt(98)) + -1 - sqrt(98))*-4)**2 + 0.\nAnswer: -1344*sqrt(2) + 14176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 30 - 3484*l**3 - 19 + 3481*l**3 + 3*l**2 in the form w*l**2 + o + t*l**3 + j*l and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 90*q. Let l(b) be the third derivative of 7*b**4\/24 - 350*b**2. Calculate z(l(r)).\nAnswer: 630*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 240, 358, 484?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + (-8)\/(-12)*63 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7*r - 5*c = -4031, -2*c = -2*r + 2666. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -186220, -370341, -554462, -738583, -922704, -1106825?\n\"Answer: -184121*g - 2099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 + 2. Suppose 30 = 7*r - 17*r. Calculate the remainder when (4\/r*16)\/((-2)\/6) is divided by z(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/8 - 2\/(-8). Solve 1 + a = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48011?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let x(p) = 12*p - 50 + 21 - 7*p + 10*p - 22. Calculate x(y(m)).\nAnswer: 15*m**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-452*r**2 + r**4 + 452*r**2 + 2*r**3 - 4 - 2*r)*(2 - 4 + 8).\nAnswer: 6*r**4 + 12*r**3 - 12*r - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -83892.69 rounded to the nearest ten?\nAnswer: -83890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:01 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -12. What is the units digit of m*(75\/10 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.93882 rounded to one decimal place?\nAnswer: 342.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - 5*y - 62. Let i be z(-6). Suppose -56*w = -57*w - i*p + 564, -2795 = -5*w + 5*p. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 16*g + 21. Determine z(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85 - -17) + 100 - 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*h + 27 + 32*h - 64*h to t + y*h and give t.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/134, -0.12, 53 in ascending order.\nAnswer: -0.12, -3\/134, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-572))\/(22\/(-242)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/50 + 37\/25. Let p = -38456 + 38452. What is the closest to -1.8 in -1\/2, 3, z, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + -2. Suppose 0 = 29*k - p*k - 5. Let r(m) = 293*m**2 + m + 1. Is r(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 24 + -13 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 175*s**2 - 19563*s - 39127. Give z(-2).\nAnswer: 699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 19977*n + 19984*n = 43, -4*n + 13 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -10. Let y = -83 - -85. Put u, -3, y in ascending order.\nAnswer: u, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence capk when four letters picked without replacement from kkkkckaccppaapppk.\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15347874329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-35)*49*-1. Let a = 43 + t. Is a at most as big as 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 - 50. Calculate the highest common factor of 15 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -8. Let h = s - 5. Suppose -2*x + 4*a = -h, 9*a - 6 = x + 4*a. Solve -2*d = d - x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15392a1 (base 11) to base 4\nAnswer: -22002311233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (7 - (-4 - -9 - -2))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126da2 (base 14) to base 4.\nAnswer: 2122233102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-14))\/(2\/(-14))*729\/729?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 4. Let a(x) = 1. Let c(w) = -5*a(w) + i(w). Suppose 0 = 3*k - 6. Suppose -4*s + 0*s = -d + k, 0 = 4*s + d + 6. Give c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-130480)\/(-34251))\/((-65)\/(-12)) + 2\/13\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 + 71. Let l = -203\/3 - t. What is the nearest to 0.2 in -0.1, l, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*z - 40*z + 1078 = 0 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 411371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**5 - 16*a**4 + 16*a**3 + 8*a**2 - 20*a + 8.\nAnswer: 4*(a - 2)*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/(-2) + 0)\/(52\/8216) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5616 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -117*b**4 + 381*b**3 - 9*b**2 - 237*b - 18 = 0.\nAnswer: -2\/3, -1\/13, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*t + 33, 0 = -5*o - 5*t + 99 + 6. Suppose -o + 67 = -5*q. Let r(k) = -k**2 - 10*k + 3. What is r(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxgs when four letters picked without replacement from fgfxxxxxxssgxfxfxsq.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -54.\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37089227 - 237\nAnswer: -37089464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Sort 0, -0.2, g in ascending order.\nAnswer: g, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29634.326 rounded to the nearest 100?\nAnswer: -29600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.3376741 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/375 or 0?\nAnswer: 14\/375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192*b**3*l + 193*l with respect to b.\nAnswer: 576*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 + 3042616*r\/3 + 33469018\/3.\nAnswer: -2*(r - 1521319)*(r + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*c = 40. Let t(w) = -2*w - 7. Let h be t(c). Suppose -3*m = h, 3*v - 3*m - 39 = -m. What is the least common multiple of v and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) -0.3 (c) -97683.68 (d) 0.4 (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2876 - -12dd5?\nAnswer: 1564b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 381*h. Let f(q) = 596*q. Calculate p(f(t)).\nAnswer: -355216*t**2 - 227076*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 + 6*x + 2. Let m be h(6). Let q(l) = 0*l + 0*l + 5 - m*l. Let w = 2 + -6. Give q(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = -6. Suppose 19 = 4*r - 9. Let n(u) = 1 + r - 8 - a*u. Calculate n(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210680148.\nAnswer: 2, 3, 7, 2508097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28.6 + 25.38. Let g = n - -3.2200161. What is g rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/21 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -873211 and -0.5.\nAnswer: -873211.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2 + 5 + (4 + 2 - 2)*(-4 + 6 + 2))*(0 + 0 - 2 - 5 + 1 + 3 + (-1 + 0 - 1)*(1 - 2 - 1))*(1 + 2 - 2)*(-3*l + l + 3*l).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/110 and -93*2\/792*5\/4?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h**3 - 2*h**2 - h. Find the common denominator of b(-1) and 43\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4997, 4998, 4999?\nAnswer: 5000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55277 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-100)\/75*12\/(-56). What is the closest to i in 4, -0.4, -2.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.00196, -7, -2\/9, 3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 4*h**2 - 3*h - 15. Suppose -8 - 8 = -4*l + i, -5*l + 3*i = -13. Let y be x(l). What is the nearest to 2\/11 in -3, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 17*n + 6. Let r be u(-17). Suppose 192 + r = 4*p - 2*h, 0 = 3*p + h - 141. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -8, 0, 24, 70, 144, 252?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/3 + 10*q**3\/3 - 28*q**2\/3.\nAnswer: 2*q**2*(q - 2)*(q + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0117 - -3.40084.\nAnswer: 3.38914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + 0. Suppose -3*y + 5*o + 14 = -9, 5*y - 5*o = d. Solve y*u = 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.02, -3, -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -912438, -912437, -912436, -912435?\nAnswer: -912434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -16?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5697 is divided by 949.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - k**2 + k**3 + (3*k**3 - 2*k**3 + 0*k**3)*(6 - 23 - 11).\nAnswer: -27*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 4*t + 91. Is 14 a factor of b(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -139, -127, -111, -91, -67?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -3.37\nAnswer: -1.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1.01\nAnswer: -0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5\/15 - 6*s**4\/5 - 12*s**3\/5 + 36*s**2\/5 + 162*s\/5 + 162\/5.\nAnswer: -2*(s - 3)*(s + 3)**4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 141345 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: Is 55077833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnyncnlcknckb. What is prob of sequence kkln?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - s = -5*s + 18, 0 = -5*i + 5*s. Let b = i + 1. Suppose 0 = 5*z - 2*z - b*u - 33, -19 = -z + 3*u. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1999 and -0.5.\nAnswer: -1999.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose -1 = -y*f + 3. Suppose -f*h + 1 + 1 = -2*i, -4*i = -5*h + 8. Solve 2*r - 20 = 5*c, 2*c = 5*r + c - h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**4\/24 - p**3\/2 - p**2\/2 + 4. Let l(w) be the second derivative of s(w). Let h be l(-3). Solve -g = -h*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is cdd21 - 18?\nAnswer: cdd07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m - c, 0 = 2*c + 3*c + 15. Suppose -2*d + 4*d = m. Solve d*a - 15 = -z, 2*z + 2*z + 8 = 5*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 divided by 69.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1400)\/30)\/(-20)*(57\/(-931))\/(1\/(-13)).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvgz when four letters picked without replacement from {g: 2, v: 3, u: 6, z: 1, w: 2}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 52 = 8*n. Suppose -n = 3*l - 6*l. Calculate the highest common divisor of l and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05331864314 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7032*l*m**2*n**3*q**3 + 2*l*m*n**2*q**3 + 2*l*m - 15*l*n**2*q**2 + 2*m**2*n**2 + 11*m**2*n wrt n?\nAnswer: 42192*l*m**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2. Let a(b) = 3*b. Let v(m) = -5*m. Let w(q) = 13*a(q) + 6*v(q). Let l(o) = -100 - 4*o + 100. Let c(u) = 5*l(u) + 2*w(u). Give c(t(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100000100110101001 (base 2) in base 6?\nAnswer: -31415053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1468 and 2569?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1152) + (2*sqrt(1152) + 3 - sqrt(1152)) + ((sqrt(128) + -1)**2 - sqrt(32))*-4 + -2 + -4).\nAnswer: -384*sqrt(2) + 1557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*sqrt(44)\/(sqrt(4)*-3) + 0 + (sqrt(176) + 1)*4)**2*-3.\nAnswer: -29780\/3 - 208*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25232953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024461?\nAnswer: 3, 19, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11870 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-2625)\/14)\/(-15)*(-852)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162968, 1304293, 4402208, 10435007, 20380984, 35218433, 55925648, 83480923?\nAnswer: 118862552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -6604*o**7\/7 - 3950*o**3\/3 + 4909. Find the third derivative of w(m) wrt m.\nAnswer: -792480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 828397075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 612 - 1002. Let n be f\/(-4) + 4\/(-8). Round n to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506172786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 + 94. Suppose -m + 2742 = 4*b, -3429 = -3*b - l*b - 2*m. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9048816, 18097571, 27146326, 36195081?\n\"Answer: 9048755*r + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4705, -4684, -4651, -4606, -4549, -4480, -4399?\n\"Answer: 6*l**2 + 3*l - 4714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2167*t - 14 = -2163*t, -31*h + 2*t + 59 = -32 + 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 0 + 0 + 4 + 2*p**2 in the form w*p + n*p**2 + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3924.\nAnswer: -1\/1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-5)\/((-225)\/(-60))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 9*b**2 - 4*b - 34. Let z be f(7). Solve c + 8 = -5*g - 7, 4*g + z = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 - 10 + 30128*c**2 - 11*c - 29436*c**2 wrt c?\nAnswer: 1384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449*c + 113*c + 110*c + 114*c + 115*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -447*i**2 - 6311*i - 2. Let c(x) = 57*x. Calculate p(c(r)).\nAnswer: -1452303*r**2 - 359727*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*l + 308*l = -1384 - 2508 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12423242321 (base 5) to base 8.\nAnswer: -72731072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 290 = -4*n, 3*r - 353 = 4*n - 55. Suppose 6*v = 13*v + r. Let m = 23 + v. Solve w - 4*w = m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(18*(-651)\/(-756)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let z(h) = -44*h + 1. Let l be z(-1). Let n(m) be the third derivative of 9*m**4\/4 + 3311*m**2 - 5. Calculate l*j(y) - n(y).\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2895 + 346 = -3*f + 5*k, 4*k = -4. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -27999 (b) 0.6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -9*n + 5. Suppose 2*j - 10 = -5*w + 5, 5 = 2*j - 5*w. Let a = j - 10. Sort n, -2, a.\nAnswer: a, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1973236329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 5. Let u be l(-4). Let h = 2492\/15 - 496\/3. Determine t, given that 2\/5 - 2\/5*t**4 + 0*t**2 + 4\/5*t**u - h*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9450052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 47. Suppose 0*k = k. Put k, q, -4 in decreasing order.\nAnswer: q, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201\/4 - 50. Which is the closest to d? (a) -0.2 (b) -2\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-6)\/(-6 + 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*v + 6 + 26, -2*l + 4*v = -24. Suppose -l*s = 6 - 36. Solve s*i + 7 = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108\/11 - (-2)\/11. Let k(o) = -o**3 + 11*o**2 - 9*o - 8. Let z be k(j). Is 1\/2 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1346124 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 390974407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -21 (b) -2 (c) -0.2 (d) 0.044 (e) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (0 - (5 + -7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 8*f**2 + 0*f + 1\/40*f**4 - 1\/300*f**5 + 0*f**3 + 0. Factor v(c).\nAnswer: -c*(c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 9:35 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q - q + 31*q**2 + 2*q - 4*q.\nAnswer: 31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 12*b + 17. Let y be 28\/2 - (-10)\/(-5). Is f(y) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 4*q**3\/3 - 7*q**2\/2 + 7*q + 1. Let s be o(1). Solve 1 = -4*f + s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -6491*v + 58411. Give j(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 + s + 1. Let t(j) = j**3 - 4*j**2 + 4*j + 4. Let m = -1368 - -1369. Determine m*t(f) - 4*v(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 525?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163974904 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.3 - 2.8. Let p = g + 7. Let b = 0.2 + 0. What is the nearest to 2 in b, 1\/6, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = 4*y - 29, 2*y + 10 = -2*n. Suppose y = -5*a - a - 12. Calculate the common denominator of 65\/12 and (5995\/(-30))\/(-11) - a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 4*b. Suppose 0 = -4*k + 2*f + 310, 7*k - 180 = 5*k - 4*f. Let j = -76 + k. Solve 0 = -3*n + 2*v - 13, -5*v = b*n - 19 - j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 - 16 = 0. Let y(h) = -h - 11. Determine y(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let p(y) = -20*y**2 + 2*y**2 + 38*y**2. What is p(b(v))?\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d0 (base 15) to base 16.\nAnswer: 1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + s + 3. Let j be n(0). Suppose j*f + 12 = 7*f. Suppose f*r = 2 + 4. Which is bigger: 4\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 36 + 8*d**2 - 6*d + 31 - 2*d**3. Let k be n(7). Let p = 14 + -10. Solve 2*a = 4*z - 2, -10 = 4*z - p*a - k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*f + 1, 5*v - f - f - 3 = 0. Let y(t) = -6*t**3 - 1. Let m be y(v). Is 2 a factor of ((-105)\/6)\/m*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*a = -128*a - 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 11:08 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + 1)\/(-4)*-3. Let p = -8 + 7.9. Put p, g, -1 in decreasing order.\nAnswer: p, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/((sqrt(3) + sqrt(3)*1)*3).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by 8\nAnswer: -59\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2722 - -2725. What is a in -1 + 5\/2*a**2 - 7\/2*a + 2*a**g = 0?\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 88480.3 kilograms?\nAnswer: 88480300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*a - 6*a + 29, 3*a - 5*c = 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009144 rounded to five decimal places?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2563.\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 180\/13. Let y = -1496 - -1494. Which is the second biggest value? (a) z (b) 0.03 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6843.\nAnswer: 3, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 17*h = -56. Let s(l) = -l**3 + 16*l**2 - 27*l + 9. Calculate the remainder when s(h) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 11*a**2 - 10*a + 9. Give u(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 1. Let d = 7 - 9. What is p(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.4 - 2.8. Let x = h + -5. Let k = -0.3 - -0.7. Which is the nearest to -1? (a) 3 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67, -146, -277, -460, -695, -982?\n\"Answer: -26*j**2 - j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 24 = 7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-5))\/((-12)\/20)*-18. What is the smallest common multiple of 33 and 12\/(-10)*(-75)\/o?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7309 is divided by 291.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = -2*l. Suppose -4*r - 2*g = -75 - 21, 0 = 4*r - 2*g - 112. Suppose -3*x = -2*u - 0*x + r, -2*u - 5*x = -l. Solve -3*n + n = u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70, 89, 134, 217, 350, 545?\n\"Answer: 2*h**3 + h**2 + 2*h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804686.\nAnswer: 2, 402343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 1786 + 7426 = 0. What are the prime factors of j?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -34724861.7277.\nAnswer: 34724861.7277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-19 - (-15 - 14)) - 18\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -1\/4 (b) -1\/2 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(165)\/sqrt(45))\/((sqrt(99)*1 + sqrt(99))\/sqrt(9)) - ((-2*sqrt(216))\/sqrt(2) + -4)).\nAnswer: 6 + 25*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(891)*1 + sqrt(891) - (sqrt(891) + -2)*-3)**2.\nAnswer: -810*sqrt(11) + 22356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, r: 9}. Give prob of picking 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 23. What is z(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1408902157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 0, 3*o - 2*a = -a + 715. Suppose o = -m + 251. Solve q + 4*y = -12, 0 = 5*y - 2*y + m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183441 + 913983\/5. Let z = h - -644. Let a = -0.1 + 0. What is the closest to z in -8, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1)\/(o\/((o*o*(o*o**(-3))\/o*o*o)\/o*o))*o**(-1\/10)*o**(-2\/15)*o assuming o is positive.\nAnswer: o**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -225736?\nAnswer: -225730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o**2 + o - 4. Let d be a(-3). Suppose -460 = 5*z - 3*m, -229 = 2*z + 4*m - 45. What are the prime factors of -4 - 1\/(d\/z)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oldoooldldlffffl. Give prob of sequence dld.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-5 - (-3 + -8)) + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in years?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -29*z + 199. Let d be a(7). Let q(w) = w**3 + 3*w**2 - 2*w - 6. What is q(d)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-19)\/(-5))\/(4\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.619 rounded to the nearest integer?\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*z - 56909 - 97*z**2 + 56909 to c*z + w + l*z**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*y = -15 - 5, -2*y = -5*d + 17. Let q(i) be the first derivative of 125\/7*i + d + 5\/7*i**3 - 75\/14*i**2 - 1\/28*i**4. Factor q(c).\nAnswer: -(c - 5)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of g**4\/12 - 24186*g**2. Let h be (4\/3)\/((-1)\/(-6)). Let c(t) = -5*t + t - t + h. Give c(x(l)).\nAnswer: -10*l + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + -33467a?\nAnswer: -334670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + n - 4. Let a(s) = -s**2 - s - 1. Let o(m) = -6*m**2 - 5*m - 6. Let q(z) = 5*a(z) - o(z). What is k(l) + 4*q(l)?\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-620)\/(-3)*240\/50. Suppose 2*j + 696 - n = 0. What is the lowest common multiple of j and 3?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-52)\/5 - (-48)\/12) + (-8 - -13). Which is the smallest value? (a) r (b) 0.01 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 564\/11, -2\/183, -5?\nAnswer: 564\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/5 - (-3)\/15*-567. Let g = b + 163. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1845 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 3*b + 4. Let v be d(-4). Suppose v = -5*h - f + 89, f + 37 = 2*h - 0*f. Solve 5*o = -h - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 76 + -46. Suppose -2*p + 57 = 3*g + 2*p, 0 = -3*g + 5*p + d. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*s + 18*s = 140*s. Sort s, 1720, -2 in decreasing order.\nAnswer: 1720, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -8) + (2\/35)\/((-8)\/1040). What is the fifth biggest value in -2, o, 3, -3\/11, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 12494\nAnswer: 5\/12494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0 (c) 1\/3 (d) 3 (e) -1.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11067546481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 6*a**2 + 33*a - 91. Let y be x(3). Solve y*o - 20 = 18*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -17. What is the units digit of (-12)\/2*(-4)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 2*s + 4*s, 1060*o - 3*s - 10 = 1059*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 154*g**3. Let a be k(1). Let h = 2258 + -2244. What is the highest common factor of h and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25761 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 2337?\nAnswer: 7011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11263\/3, 24, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1090, -2127, -3094, -3985, -4794, -5515, -6142, -6669?\nAnswer: -7090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67556 less than -205426.4?\nAnswer: -272982.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(7))**2*-6 - (-4 + -4 + sqrt(7) + 0).\nAnswer: -sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:28 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*l = 3, 5*o - 5 = -5*l - 0. Let i be (-3)\/24*-10 - (-26)\/(-8). Put o, i, 3 in decreasing order.\nAnswer: 3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5400)\/(-1320) - 8\/2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6755698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(4) - (-2*sqrt(256) + sqrt(4))).\nAnswer: sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:38 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 175\/18 and 11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40*(72\/(-20))\/(-6). Suppose 0 = -2*i + 10. Suppose -i*f = 2*c - c - 835, -3*c = -5*f + 855. What is the highest common factor of f and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*i - n, 3*i = -3*n + 2338 - 2350 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-2))\/(33\/220))\/((-14)\/84*21)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1959, 0, 12 in decreasing order.\nAnswer: 12, 0, -1, -1959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 8) to base 6.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3008, -11984, -26928, -47840, -74720, -107568, -146384?\n\"Answer: -2984*z**2 - 24*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21122887?\nAnswer: 21122887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 5*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 21\/69*(-21)\/147\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42914?\nAnswer: 2, 43, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 37*w**4\/6 + 51*w. Let m(p) = 3*p. Let j(y) = 2*y. Let g(f) = 4*j(f) - 3*m(f). Calculate a(g(c)).\nAnswer: 74*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqq. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 22*p**3 + 2.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/(-24) + (-3)\/12 and -43\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -12. Suppose -2*d - 3*d + t = 0. Suppose -6*k + k + 20 = -c, d*k + c = 4. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 + -377\/3. Which is the fourth smallest value? (a) -0.2 (b) -5 (c) s (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 + 52 - 28)*(-3*f + 4*f + f)*(3 - 2 + 1) as l*f + s and give l.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12774020?\nAnswer: 2, 5, 7, 91243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12204 divided by -3051.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(140\/15)*2*1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 6 + 6*y - 5*y + 3297*y**2.\nAnswer: 3297*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0*v**(-3)*(v**6\/v)\/v**(1\/6))**(-4\/19) assuming v is positive.\nAnswer: v**(-34\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 3*y - 14. Let h(x) = 3*x - 26. Let f be h(12). Let s(d) = d + 14. Calculate the smallest common multiple of i(-6) and s(f).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 3, d: 3, e: 4, l: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -220, -425, -612, -781, -932, -1065?\n\"Answer: 9*q**2 - 232*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4160*k - 10830*k**4 + 264*k**2 + 840*k**2 + 5376 + 10832*k**4 - 108*k**3.\nAnswer: 2*(k - 42)*(k - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 10. Let x be t(6). Do -5 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 590, -12, -3\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791*s - 510*s + 31744 = 537*s for s.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5873 + 5487.\nAnswer: 11360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 5:15 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -500, -986, -1398, -1694, -1832, -1770, -1466?\n\"Answer: 7*d**3 - 5*d**2 - 520*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55580 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5456807 + 0.1.\nAnswer: 5456807.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 6 = 4*h, -3*y = 2*h + h - 18. Let f(v) = v + 18. Let s be f(-13). Let r be (-6)\/(42\/s) + 1. Which is the nearest to 0? (a) -4\/3 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 29460.\nAnswer: 29460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1. Suppose -d - 1 = 3*w, 5*w - 3*d - 2*d = 25. Let s(o) = 11*o**2 - 2*o - 8*o**2 - 3 + 4 - 4*o**2. Let r(h) = w*s(h) - 5*l(h). What is r(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1 (b) 0 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c**3 - 15*c**3 + 8*c**4 + (c**3 + 3 - 3)*(c - 3 + 3) - 1 - c**4 + 1 + 0*c**4 - 4*c**4 + 3*c**4)*(0 + 0 - 2*c).\nAnswer: -14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10018134 and 1?\nAnswer: 10018134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -36*k + 5. Let h be i(0). Suppose v = -0 + h. Put v, -28, 3, -2 in ascending order.\nAnswer: -28, -2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 equal to 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 8)*(-2)\/9*-3. What is the remainder when 6 is divided by i\/(80\/96*(-16)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/24, 0.4, 0, 1, -2253, -3\/5, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2779 is divided by 307?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 889.7353 millilitres?\nAnswer: 0.8897353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2 = 0, 3*r + 871 = 5*m - r. Suppose 0 = 2*q + 2*q - 3*d - m, 0 = -q - d + 42. Solve 4*p - q = -5*s + 2, 3*p = -3*s + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, -4, 4, -1140, -9 in ascending order.\nAnswer: -1140, -9, -5, -4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3 = 19. Let a = -6463\/35 + 1308\/7. What is the closest to a in i, 1, -2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-four fifths of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose r = -4*m - 3*t + 5*t + 260, 4*t - 284 = -4*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -0.1. Let o = 13299 - 66491\/5. Let v = 0.2 + -0.4. Which is the fourth biggest value? (a) o (b) s (c) v (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77349.83 tonnes to grams.\nAnswer: 77349830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, r: 1, c: 2}. What is prob of sequence scs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 12. Let f be t(4). Let r(p) = p**3 - 8*p**2 + p - 6. Let q be r(8). Solve -l = -2*l + q*y, f = -l + 5*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 73721*h + 2. Let m(x) = -2*x. Determine c(m(g)).\nAnswer: -147442*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c + 1. Let h be a(-2). Suppose 7*x = 5*x + 4. Let r be (4\/(-12))\/(1\/x). What is the smallest value in 0.4, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17924?\nAnswer: 2, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u**5\/21 - 32608528*u**4\/21 + 26582882893024*u**3\/21 + 31899565123316*u**2\/21 - 47849246598506*u\/21 - 10633168809316\/21 = 0. Calculate u.\nAnswer: -2, -1\/5, 1, 1630427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {v: 2, j: 5, z: 5}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-1\/2)*f*f**(7\/2)*f**(10\/3) assuming f is positive.\nAnswer: f**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/3, 727, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -0.6. Round i to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 94646.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 923 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: Put 1\/12, -0.4, -2, -0.065, 0.3 in ascending order.\nAnswer: -2, -0.4, -0.065, 1\/12, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/((-1449)\/27)*(-8)\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 2) + (-25 + 26 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide (148*(-11)\/(-2))\/((-2)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -1 + 16. Let w = t - -5. Suppose 4*i - 2*c - 3*c - 15 = 0, 13 = 3*i - 2*c. Solve 6 = 3*y + 3*p, -3*y - w*p = -4*y + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d + 638 = -a + 4542, 5*d + 161 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1729, -2869, -4769, -7429, -10849, -15029, -19969?\nAnswer: -25669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.008 - 27.292. Let y = -3.7 + z. Let u = 31.2 + y. Which is the closest to 1? (a) -0.1 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**4 - 2 - y**4 - 4 + 9 + 4*y to the form l*y**4 + p*y**3 + h*y**2 + a*y + z and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -122796408 divided by -2334?\nAnswer: 52612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/9)\/(13608\/(-11664)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.7 - -1.3. Let w = i + -56. What is the closest to w in 0.2, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -48*j + 144. Let n be q(-2). What is the highest common divisor of n and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(4*sqrt(256)))**2.\nAnswer: 13\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**2 + 7. Suppose 71*v = 75*v - 12. Let l(n) = -n**2 - 4 + 1 - 3 + 5. Let s(c) = v*l(c) - i(c). What is the first derivative of s(w) wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 362 - 360. Let o(i) = 9*i**3 - 2*i**2 + 2*i - 1. Is o(m) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-142)\/168)\/(280\/(-80)) and 209\/630?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.2 and -0.162.\nAnswer: 2.7864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248, 1235, 1222?\nAnswer: 1209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, 3, 5 in increasing order.\nAnswer: 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-17 + 7)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/1355 in -6, 0.1, 46, -0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/30 + -4*(-1)\/(-10). Factor 0*m + z*m**5 + 0 - 2\/3*m**2 - 2*m**4 + 2*m**3.\nAnswer: 2*m**2*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:54 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(1*(-4 + sqrt(833) + sqrt(833) + -2) + -4 + (-6*(sqrt(833) + (sqrt(833) - (1 + sqrt(833))))**2 - sqrt(833))).\nAnswer: -182*sqrt(17) + 10024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10554, 42220, 94998, 168888, 263890?\nAnswer: 380004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2. Let o(y) = 1 - 2 + 5 + 2 - 5*y**2. Let f(g) = 11*g**2 - 13. Let r(a) = -6*f(a) - 13*o(a). Give l(r(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(32)\/(sqrt(8)*1)))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684 divided by -8?\nAnswer: -921\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34559*m**3 - 17302*m**3 - 17279*m**3 - 2*m.\nAnswer: -22*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 21*i + 5. Let z(n) = -11*n - 2. Let m(d) = 3*j(d) + 5*z(d). Let w be m(5). Suppose 0 + w = 3*s. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (895 + -916 + (22 - (-2 - -1))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**2)\/(o\/(o*o\/((o*o\/o**(1\/7)*o)\/o*o)*o)*o)*(o**0*o)**18)**(-1\/27) assuming o is positive.\nAnswer: o**(-113\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a - 5. Let x = -387 + 2718\/7. Let w = -1181 - -1181.5. What is the biggest value in a, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -579539 divided by -272.\nAnswer: 579539\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 883078211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -573 - -590. Calculate the greatest common divisor of u and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 204 = -56*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b**2 - 2*b. Let q be l(-2). Let v be 1\/(4 - 5)*-2. Let s be 65\/(-75) + (v + -4)\/(-2). What is the third biggest value in -0.3, s, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from hccchcccchcccccchc?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 2. Let t = 19 + -13. Suppose -3*y + 20 = -2*x, t*x - y = 5*x - 8. Let j(h) = 6*h + 5. Determine x*j(s) + 11*o(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4445 - 48881\/11. Suppose -2\/11*x**2 + 12\/11*x + b = 0. What is x?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1691 and 890801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1ba59 (base 12) to base 9\nAnswer: -62526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8*c + 13 = 3*c, -3*j = -4*c - 10. Let d be (-1 - 69) + -4 + j. Let u = -48 - d. What is the smallest common multiple of u and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 98730159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 955\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33446 or -19004?\nAnswer: -19004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1337, 5029, 10517, 17249, 24673?\nAnswer: 32237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1814 = 99*b - 2903 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -113, -186, -309, -494, -753, -1098, -1541?\nAnswer: -2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7696 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.63, 2, 1 in decreasing order.\nAnswer: 2, 1, 0.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 490. Let n(a) = -5072*a. Calculate n(y(q)).\nAnswer: -5072*q**2 - 2485280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dal when three letters picked without replacement from {h: 3, j: 2, f: 3, l: 2, a: 1, d: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55290, -220729, -496454, -882459, -1378738?\nAnswer: -1985285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 4*n**2 + 11 + 5*n**2 - 13.\nAnswer: 10*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/13, -2\/7, -2231 in decreasing order.\nAnswer: -2\/13, -2\/7, -2, -2231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 1:13 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1584 = 5*p, -c + p - 1069 = -3*c. Suppose 1076 = 4*w - 4*y, 4*w - 2*w - y - c = 0. What is the least common multiple of w and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 10*p + 4. Let o be 4743 - ((-4)\/p + -3 + 3). Suppose -4 = -2*v, -5*n - 1336 = 5*v - o. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5 - 3 = 3*v, 5*g = 25. Put -3\/2, v, -1\/4, 2\/35 in descending order.\nAnswer: v, 2\/35, -1\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755805.\nAnswer: 3, 5, 31, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*(-102)\/(-136) + -1. Let z = -1.931 + 1.631. What is the nearest to -1 in 4, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -138 - -1926?\nAnswer: 1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110 - 12?\nAnswer: 22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 12 = 3*d. What is the common denominator of -23\/16 and 24\/d + 7\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((4\/(-19412))\/((-7)\/(-21))) a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*a = 426768 + 1668445. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004718 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 104. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 0.3, 2\/13 in decreasing order.\nAnswer: 0.3, 2\/13, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p - 12. Let u be o(-7). Suppose -t = -2*f + t - 6, -u*f - 5*t = -15. Suppose -5*m + 7 + 13 = -3*x, m = 5*x + 4. Solve f = -2*z - x*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:54 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101.5 + -24.5. Let l = -25950.86539329 + 26076.865394. Let v = t + l. Round v to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/3*(-117)\/(-390). Which is the closest to -1\/2? (a) 0.5 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 145 + 5 = 0. Let d be n\/21*(-3)\/(-2). Which is greater: d or 4\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.497.\nAnswer: -1.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 527 (b) 2 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 - 19*l + 56. Let k(o) = -8*o**2 - 19*o + 57. Let u(s) = -4*k(s) + 5*r(s). What is the tens digit of u(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002603 rounded to seven decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-25)*v**(-1)*(v\/v**(2\/7))\/v**17)**17 assuming v is positive.\nAnswer: v**(-5032\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/28)\/(-1))\/((-7774)\/7098*1\/1)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4818 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4434, -4502, -4562, -4608, -4634?\nAnswer: -4634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 46, 0.3, -19.94.\nAnswer: -19.94, 0.2, 0.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/(-20))\/(8\/40). Let l be 74\/26 + b\/(-26) + 0. Solve i + l*m = -m - 15, i = 4*m + 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7925 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/1713 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svzn when four letters picked without replacement from {x: 1, n: 2, s: 2, u: 2, v: 1, z: 1}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -143*o + 215. Calculate m(2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130087*q + 130007*q - 2640 = 0 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 174, 170, 164, 156, 146, 134?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bulobwublwbfuf. Give prob of sequence wfub.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 96. Put z, 0.1, -1\/2, -2\/25 in ascending order.\nAnswer: -1\/2, -2\/25, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1289212\/95 and 13570 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(94004*g**4 - 46*g - 93867*g**4 + 12*g**3 + 45*g) to n*g + w*g**3 + a*g**2 + i*g**4 + u and give i.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvvvvv. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 4*l - 7*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 11) in base 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-227)\/(-4) + 69\/(-92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (11\/198)\/(71\/(-3824)) - -3. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 - -2) + (-1 - -1). Suppose -4 - s = -5*n. Suppose 9 - n = -3*b. What is the closest to -2 in b, 0.2, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 399764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 1081 = 1150. Solve 0 = -3*d - h + 1, d = -54*h + 51*h + o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2097 + 6*w**2 + 7*w**2 + 2*w + 2097 to the form q + p*w**2 + b*w and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207 = -16*r + 7*r - 9*j, -5*r + 4*j + 74 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104150*u**2 + 14*u + 104161*u**2 - 5*u + u + 6*u - 2 to i + d*u + g*u**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23.644? (a) -0.3 (b) -3\/7 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 828.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 1, h: 2, c: 1, n: 1, w: 2}. Give prob of sequence whmh.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 875 = -43. Suppose 2*h - 5*x = h + 360, -720 = -2*h + x. What is the remainder when h is divided by l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63750027?\nAnswer: 3, 11, 1931819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 85 = -4*o, -19*o + 14*o - 5*w = 100. Calculate the common denominator of 16\/21 and (-27)\/18*4 - 255\/o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(70\/24)*49\/(-84)*99\/77\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31327 divided by 5288.\nAnswer: 31327\/5288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5\/3 - 10*g**4 + 172*g**3 + 6896*g**2\/3 + 3840*g = 0?\nAnswer: -20, -9, -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzpxxkkkixlzpx. Give prob of picking 1 k, 1 p, and 1 x.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115 * -0.5.\nAnswer: -57.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -7. Let n(q) = 2*q**2 + 3*q + 1. Let o be n(-2). Suppose 12 = -4*k - 5*j - 0*j, 4*j = 4*k + 12. Sort s, k, o in ascending order.\nAnswer: k, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**3\/6 + 2*t**2 + 3*t. Suppose 6 + 9 = 5*w. Suppose -w*r = -r. Calculate c(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 206*h**2 + 37691*h + 43526770.\nAnswer: 412*h + 37691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9431 greater than 20541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 11 + 3)*(-2*v + v + 0*v)*(19*v**2 - 14*v**2 + 90*v**2) in the form w + m*v + c*v**3 + b*v**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2698374 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (2 - 3)) + -3. Let i(n) be the second derivative of -2*n**3\/3 + n**2\/2 + 8*n. What is the units digit of i(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Let h = -16 + j. Let n = h - -16. Do n and -1\/26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 372 - 234. Suppose 3*r - p = 619, -r - 4*p + 90 = -d. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 5) to base 4.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + -5*sqrt(275)).\nAnswer: -sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 20 - 28 = 0. Let k be -17 - f - 4*1. Let p = k - -165. What are the prime factors of p?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 12. Let c(j) = 1380*j**2 + j - 48. What is c(l) + 4*u(l)?\nAnswer: 1384*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6*(-57)\/(-4). Let v = z + -12. Let o = 31 - v. What is the remainder when 22 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*w + 9, 4 = 4*w + t - 3. Let m = 35 - 17. What is the highest common factor of w and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-3\/25)*h)\/((h\/h**(-2\/3))\/h))\/(((h\/(h**(-29)\/h))\/h)\/h**(-24)) assuming h is positive.\nAnswer: h**(-4034\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3119809 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48702 (b) -4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 751, 757, 775, 811, 871, 961?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:23 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x - x)*(8*x**2 + 3*x + 40*x**2 + 2119 - 2115).\nAnswer: 96*x**3 + 6*x**2 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*r + 118. Calculate the remainder when r is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**6\/360 - 17*y**5\/120 + 15*y**4\/2 - 149*y. Let b(a) be the third derivative of n(a). Give b(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8230597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 628? (a) -4 (b) 45 (c) -3 (d) 0.4 (e) 3 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4859126, 4859120, 4859104, 4859078, 4859042?\n\"Answer: -5*d**2 + 9*d + 4859122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 6*y - 2*y)*(-5 - 4 + 2) + 5 - 2*y - 5 + (-4*y - y + 2*y)*(3 - 3 + 1) + 2*y - 4*y + y - y + 4*y + 0*y to the form w + p*y and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j. Let q(v) be the third derivative of v**5\/60 + 5*v**2. What is o(q(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 1283?\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 517920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 28 + 8. What is the units digit of -95*(m\/(-10) + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 3840. Let m be n(0). Suppose -3*t + m = -3*l, t - 4*t + 5*l = -3834. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**3\/2 - 465*b**2\/2 + 10500*b - 110250 = 0.\nAnswer: 15, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -89. Which is greater: 21 or i?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/10*22\/11*125\/(-175)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2444*q*y + 13*q - 54046*y wrt q?\nAnswer: 2444*y + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 109, -0.3, 0, 3\/16 in descending order.\nAnswer: 109, 3\/16, 0, -0.03, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1711 - -1207. Let z = n - -138. Let p = 617 + z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 7. Suppose -z = 3*z + 48. Let n = z + 20. Let m be s(n). Is -2\/5 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.79 - -0.29. What is the fourth biggest value in x, 1\/8, 2, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - l - 365 = 3*r, 3*l = 3. What is the lowest common multiple of 20 and r?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.506 + 995862508\nAnswer: 995862531.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451526 (base 7) in base 10?\nAnswer: 197490","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 6*y**2 + 6*y + 2. Let f be c(7). Let w = 10 + f. Solve w*o - 10 = 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6194 = -415*m - 8765 - 10709 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -39*v + 35*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwwwws.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-1))**20)**18\/((l**(1\/4))**(15\/7)\/((l\/l**0*l)\/((l*l**(-1\/8))\/l))) assuming l is positive.\nAnswer: l**(60569\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -518 from 5.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 10*y - 14. Let v be x(-6). Suppose 4*t - 5 - 9 = z, v = 5*t - 5*z. Put 3, -9, t in decreasing order.\nAnswer: t, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67649298 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**3 + 20061307*g**2 - 98318300*g + 1 wrt g.\nAnswer: 48*g + 40122614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2))**(-48)*u\/(u\/u**3)*u*u**10)**27 assuming u is positive.\nAnswer: u**1026","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 133449787 to the power of 1\/3, to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**3 - 4610*p**2 + 1067200*p - 2116000 = 0. What is p?\nAnswer: 2, 460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/27))**50\/(t*t**(-9\/2))**5 assuming t is positive.\nAnswer: t**(3545\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 2*t**4 - t**2 - 6*t**4 - 22 + 2*t**2 + 2*t**4 in the form h*t**3 + l + a*t + s*t**4 + w*t**2 and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42454743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-16) - (-2)\/(-8). Let f = 0 - -3. Suppose v = -5*b + f*b. Solve -5*g - 20 = b, 8 = -3*k + 4*g + 24 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 23*d**3 - d. Let x(m) = m**2 + 7*m + 7. Let y be x(-6). Suppose -6*q = -3*q - 192. What is the remainder when q is divided by v(y)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -496*d**5 - d**4*q - 2*d**3 - 6997*d*q + 2*d wrt d?\nAnswer: -9920*d**3 - 12*d**2*q - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 4*p - 199. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -9\/2. Suppose -9*f + 14*f - 10 = 0. Suppose o*j + 0 + 1\/2*j**f = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32903977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:42 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5518603 is divided by 59?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8201\/10 + -3301\/4. Let r = -2641507\/444880 - -2\/27805. Calculate the common denominator of r and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1375 - -5?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 - (-2 + 3 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**5 + 2*i**5 + 2*i**5)*(3 + 0 - 1) + (-2*i**3 - 4*i**4 + 4*i**3 + 6*i**4)*(-i - 3*i + 2*i).\nAnswer: 6*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -113, -154, -181, -188, -169, -118, -29?\n\"Answer: i**3 + i**2 - 51*i - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26497007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533313.\nAnswer: 1533313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 5\/4, -0.2, 0.1592, -1\/18, -2\/7?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3234 (b) -2\/5 (c) -0.3 (d) -5 (e) -4 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53590 and 10?\nAnswer: 53590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 0*q**4 + 0*q + 0*q**5 - 1\/3*q**6 - 4 + 7\/2*q**2 + 0*q**3. Find the second derivative of m(y) wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(7 + -6))\/(-2 - 3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 + -1.1.\nAnswer: 45.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 (base 9) in base 7?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3 - 4585803*d**2 + 4585477*d**2 + 5. Let f(a) = -a**2. Determine v(f(s)).\nAnswer: -326*s**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -21.0311\nAnswer: 8.41244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2529, 9739, 21791, 38709, 60517, 87239, 118899, 155521?\n\"Answer: 4*h**3 + 2397*h**2 - 9*h + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 0, 3*d - 75 = -2*n - 2*n. Suppose -5*t + 268 = 3*s, 3*s - 5*t = 145 + 73. What is the remainder when s is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 divided by -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28327 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2524749, 5049500, 7574253, 10099008, 12623765, 15148524?\n\"Answer: a**2 + 2524748*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2653, 4992, 7331, 9670?\nAnswer: 12009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecte when four letters picked without replacement from ezmzectemcemcemem.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*m**2 + 0*m**3 - 3*m**3 - 2968*m**4 + 5943*m**4 - 2978*m**4 + 23*m - 2 to the form r*m + p*m**2 + k*m**4 + y + a*m**3 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 104*l + 682. Determine h(-4).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-2\/29)*r)*r)*r)\/r**0)\/(r\/(r*r\/r**(1\/7))*r)**(4\/3) assuming r is positive.\nAnswer: r**(451\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 110. Suppose -2*t + 6*t - 12 = 0. Calculate the lowest common multiple of t and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 394 - 226. Calculate the remainder when 14 is divided by (-3)\/5 + t\/30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.295069 rounded to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5639308 to the nearest integer?\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u + 1. Let r be d(-5). Solve 2*p - 3*i = -9, -r = 4*p - 3*i + i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209624, -419021, -628418?\nAnswer: -837815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4845 + -0.5155. What is the closest to 1 in 2\/5, c, -6, 15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 59*c + 3 - 3 - 56*c. Let w(p) = -4*p. Determine g(w(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/2 - (1 - -287996). Round d to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 23)*(0*h - 2*h + 4*h) + (h - h - h)*(-3 - 1 + 5)*(2 - 6 + 3).\nAnswer: 59*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3 = -5*c. Let b be (-129)\/(-15) - (-4)\/10. Let y = 0 - -5. Solve -c*o = -b, -y*s + o = -s + 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**2 - 7*n + 3. Let i(o) = 3*o**2 + 3*o - 1. Let b(f) = 5*i(f) + 2*j(f). Calculate b(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 2\/9 (c) 472481 (d) -20 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(363) + 1)**2*6.\nAnswer: 528*sqrt(3) + 2274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6043239660?\nAnswer: 2, 3, 5, 100720661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-616)\/(-98) - 2\/7. Let c(l) = -l**3 + 7*l**2 - 4*l - 1. Let u be c(o). Is 12 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*s + 2604986 - 2604986.\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 4763312929?\nAnswer: 4763312927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from vvviivivvivviviiiivv.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 50?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3 - 23. Let w be (-1 - -43)\/(6\/g). Let k = -28 + w. Solve k = 2*f - 4*a - 18, 3*f + 7 + 6 = -2*a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598 = -8*v - 738. Let n = 65 + v. Let i = n - -186. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 + 34 = 0. Suppose w - 5*w = -s, 0 = -5*h - 4*w + 30. Solve h*j = -2*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - 2.89999586. Round t to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 357 and 9650169?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from uuqqqququqqqqqqqqu?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-130449)\/4071 - 1\/(21\/(-14)*46\/3)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46231 is divided by 185.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22401579 to the nearest integer?\nAnswer: 4733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-8)*f**(-5\/3) assuming f is positive.\nAnswer: f**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**2 - 2*z. Let h(q) = -q - 4 + 2*q**2 + 4 - 4*q**2. Let o(w) = 5*h(w) - 4*y(w). What is the second derivative of o(t) wrt t?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3171858.481 - 116.\nAnswer: 3171742.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -0.3, 0, 1\/8, 2\/5, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1000102212 (base 3) to base 10\nAnswer: 20003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.860939 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2020\/(-6))\/((-140)\/(-210)). Are -509 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*q + 11*q - 5*z - 20, -5 = 5*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2413140 and -51\/740?\nAnswer: 2413140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -84079*r + 167947. Determine u(2).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -17495161\nAnswer: -5\/17495161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1960538 rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11913, -11853, -11753, -11613?\n\"Answer: 20*k**2 - 11933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 15 + 15 - (14 - 1)) + 13.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h**2 + 5*h - 8. Let b(w) = -5*w**2 + 6*w - 9. Give -5*b(s) + 6*o(s).\nAnswer: -5*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 133\/6929?\nAnswer: 133\/6929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*139.669.\nAnswer: 4748.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4 (c) -50738 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10751, -21491, -32231?\nAnswer: -42971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**5*y + 24537*o**4*y**2 - 2*o**2*y**2 - 3*o**2*y + 4482*o**2 wrt o?\nAnswer: 120*o**2*y + 588888*o*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -bc657 (base 15) to base 7\nAnswer: -5042536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + i + 26 = 0, -5*u + 87 = 11*i - 8*i. Solve u = -13*n + 54 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -20. Suppose 2*w + 5*l - l = -12, 3*l = -3*w - f. Let x be (-130)\/(-90)*(-3)\/w. Is 1 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(4)\/sqrt(2))*-2*3*-5.\nAnswer: 30*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6375 - 6434) + 0 + 19?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1366 + -1360. Let t(z) be the first derivative of -5\/12*z**6 + 0*z**2 - 1\/3*z**3 + u + 0*z + 1\/5*z**5 + 5\/8*z**4. Determine w so that t(w) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3740.77 + -14.77. Is w > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 12882, -2?\nAnswer: 12882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dut when three letters picked without replacement from {d: 5, e: 2, c: 1, u: 5, t: 3}?\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -279 - l**2 - l**2 - 12*l**4 + 300 - 4*l**4 in the form k*l**3 + q*l**4 + x + y*l + d*l**2 and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 14*o. Let p be s(14). Suppose 4*i + 2*t = 18, -5*t - 5 = 3*i - 1. Suppose p = i*w - 90 + 34. Let x(v) = 2*v - 10. Calculate x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - -16. What is the remainder when k is divided by ((-13 - 0) + 4)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 470150 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - ((729 - 578) + 2 + -8)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178641975?\nAnswer: 3, 5, 2381893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -11*h. Let q(x) = 66 + 55870*x + 55870*x - 111739*x. Determine q(i(t)).\nAnswer: -11*t + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 370 and 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**4 + 9*c**3*q*t - 17*c*q*t + 691*q - 2*t wrt c.\nAnswer: -8*c**3 + 27*c**2*q*t - 17*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34679408.\nAnswer: 2, 19, 114077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*u + 68 = 64, 2*s = s - 9*u + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r. Let a(i) be the first derivative of 14*i**3\/3 + 3*i**2 + 24. Let x(y) = 11*y**2 + 5*y. Let t(s) = -5*a(s) + 6*x(s). What is c(t(q))?\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/7)\/(-3))\/((-4684)\/16394)*-17*1.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000010100 - 1010101111?\nAnswer: 101101100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 37)\/(1\/3). Let t be (1 - 3)*n\/(-12). Suppose -t*v + 8 = -13*v. Solve d = -3*c - 6 - v, 0 = -4*c + 4*d - 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of 2*s**7\/7 + 5*s**3\/3 + 2. What is the third derivative of d(a) wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3503 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + ((-1 + sqrt(300))*-5 - (-3 + (1*sqrt(300) - sqrt(300)) + sqrt(300)))**2)*6.\nAnswer: -5760*sqrt(3) + 65198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 2*n - 24. What is h(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/12)\/(2\/6). Let z = -2 - m. Let n(i) = z - 5 - i + 2. Let y(s) = 5*s**2. Determine n(y(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -27. Suppose 2*o - 4*d = 44, -g*o - 2*o + 5*d + 103 = 0. Calculate the greatest common divisor of 24 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 4*c + 4. Let u = -98 - -94. Calculate f(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 1263*g**4\/4 + 644*g - 812. What is the first derivative of r(c) wrt c?\nAnswer: 3789*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f - 12. Let g(o) = o**2. Let x(s) = 4*s**2 + 2*s + 11. Let p(v) = f*g(v) - x(v). List the prime factors of p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77725*p**3 - 9*p**2 - 13*p - 181 wrt p?\nAnswer: 466350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*s**4 - 26*s**4 + 26*s**4 - 2*s**4 - 2*s**4 + 5*s**4 + (-2*s**3 + 5*s**3 - s**3)*(0 + 0 - s) to w*s + d*s**3 + g*s**4 + l*s**2 + y and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*t = -0*t + 26, -4*t - 7 = 3*o. Suppose 4*m = -4*y + 52, -o*m - 4*y = -m - 36. Let j = -15\/2 + m. Put -2\/7, j, 3\/2 in descending order.\nAnswer: 3\/2, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 69031815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 10 + -21 + -2 + 20\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Let v(n) = -316*n - 328. Determine v(u(y)).\nAnswer: 316*y - 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22, 20, 18, 16?\n\"Answer: -2*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(-2\/5)*(s\/((s*s*s*s*s*s*s\/(s*s**(-1))*s*s)\/s))\/(s*s**(-5)*s)*(s\/s**(-2\/19)*(s\/(s*s**5))\/s)**(-38) assuming s is positive.\nAnswer: s**(911\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.71 + 0.61. Let j = c - -57. Which is greater: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogziiosgzqooqzzzzg. What is prob of picking 1 q and 2 z?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:50 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (-2 + -3*sqrt(75)))**2 - (sqrt(108) + (2 + (sqrt(108) - sqrt(108)*-4))**2).\nAnswer: -1500 - 46*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 12*q**2 + 10*q + 41. Suppose 0 = -5*g + 20 + 45. Let p be x(g). Solve -5 = -u + p*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*((-2)\/(-12))\/(112\/24)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2*r*r\/(r\/(r\/r**(-3\/10)*r)))\/(r*(r\/(r**(-2\/5)*r))\/r*r)**(-4\/39)*(r\/(((r*r**0)\/r)\/r))\/(r*(r**(-2\/3)*r*r)\/r)*(r**(2\/3))**39 assuming r is positive.\nAnswer: r**(12913\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s + 5*s**2 - 5 + 2*s + 3*s + 0 + 2*s. Let r be (3 - 2)*-1 - 3. What is the tens digit of p(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3681, 3673, 3661, 3645, 3625, 3601, 3573?\n\"Answer: -2*z**2 - 2*z + 3685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 4*c + 5. Let d(n) = -2*n - 9. What are the prime factors of d(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n**3 + n**2 + n - 1. Calculate z(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlf when three letters picked without replacement from wzwzffxdxlzdww.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443359 is divided by 147632.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10554 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 + s**2 + 0*s**2 + (-1 + 1 - s**2)*(6 + 1 - 3) + (s - 3*s + 4*s)*(3*s - 2*s - 6*s) to o*s + g*s**2 + d and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6)*(-6 + 3). Suppose u - z = 4. Suppose u*r - 12 = r. Solve -5*j + l - r*l = 11, 0 = 5*j - 3*l + 21 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvvivviivvdiiiivvvv. What is prob of sequence id?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-90)\/(-22) - 23*(-18)\/(-4554). What is the highest common factor of g and 1880?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*y + 53*y + 30*y + 40*y - 5*y as k*y + x and give k.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 855399078?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - m**2 - 4*m - 5. Let j(l) = 2*l**3 - l**2 - 5*l - 6. Let g(x) = x**2 - 20*x + 6. Let f be g(20). Give f*a(z) - 5*j(z).\nAnswer: 2*z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5334, 10722, 16122, 21540, 26982?\n\"Answer: w**3 + 5381*w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:50 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 10024710\nAnswer: -29\/10024710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161783 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*s + 16 = 4*s, 2*o - 2 = 4*s. Suppose o*l - 80 = 46. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(504))\/sqrt(7).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d**2 + 4*d - 7. Let v = 116 - 111. Is j(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000048582395 to seven dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiciiiiii. Give prob of sequence ii.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 505*q**3 - 258*q**3 - 25*q**2 + 35*q - 1 - 248*q**3 + 27*q**2 as a*q + g*q**3 + v + c*q**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 5*l**7\/21 + 31*l**6\/15 - 68*l**5\/25 + 14*l**4\/15 + 28*l. Find f such that r(f) = 0.\nAnswer: -7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 0*k**2 + 93*k - 377*k + 91*k + 98*k + 100*k.\nAnswer: 3*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/36 - 4\/18. Determine c, given that -2 - 7*c**2 + 0*c - 7*c - x*c = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40425 by 3.\nAnswer: 13475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 684428 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104341 (base 5) in base 4?\nAnswer: 322021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c - 7. Let y be k(0). Let x be (2\/6)\/(y\/(-42)). Find the third derivative of a + 6*a**2 - 4*a**3 - a - 4*a**x wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1830*b = -1720*b - 1540 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 516, 6877, 17480, 32325, 51412, 74741, 102312?\nAnswer: 134125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57299399533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-2) + (-112250)\/(-100)?\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*c + 10 = 0, 2*c - 2 = 2*l + 3*c. What is the second derivative of -o + 7*o**5 + 9*o + l*o**5 wrt o?\nAnswer: 140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1 + 2 + i**2 + 2 + 4*i. Suppose -r = -0*r, 4*f = -r - 16. Let g be b(f). Solve 5*z - 2 = -2*d + 3, -3*z + g*d - 28 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/30 - 42*a**2. Let n(f) = -f + 7. Let j(c) = -6. Let z(r) = 5*j(r) + 4*n(r). Give y(z(d)).\nAnswer: 32*d**2 + 32*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (20 - (-17 + 29) - 5) + 133.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/60918845 and -58\/12183769.\nAnswer: 60918845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -88.1. Let g = c - 38.3. What is the closest to -0.1 in -2, 1\/6, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**4 + 0*f**4 + 5*f**4)*(-3 + 5 - 3).\nAnswer: -11*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 9:18 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a - 224. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 155, 324, 493, 662, 831?\n\"Answer: 169*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*n + 17 = 0, -18 + 2 = 4*n. Let c be (4 - 3)*p\/11. Let j = -2.9108 - 0.0892. What is the closest to 0.4 in -0.4, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 749*f**5\/5 + 121*f**2\/2 - f + 383. Find the second derivative of i(k) wrt k.\nAnswer: 8988*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 841954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-27)*-3*-3. What is the units digit of 2 - k - 10\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.511334954 plus -0.4?\nAnswer: 1.111334954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**6\/300 + 7*q**5\/150 - q**4\/4 + 3*q**3\/5 - 9*q**2\/2 - 17. Let r(s) be the second derivative of c(s). Factor r(v).\nAnswer: -2*(v - 3)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -137.5, 0, 4 in decreasing order.\nAnswer: 4, 0, -4, -137.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 741*f*g*z + 18*f*z - 2*z + 3 wrt g?\nAnswer: 741*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 19 + 43 + -19 + -15. Let i(x) = -2*x - 3. Let r be i(-4). Solve -2*f + 5*j = -0*f - d, 4*j = -r*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -291, -614, -951, -1308, -1691, -2106, -2559?\n\"Answer: -w**3 - w**2 - 313*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 + -3*(-10)\/(-6). Sort -3, 0, q, 4.\nAnswer: q, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/9*39\/(3822\/28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 + -83. Suppose 0 = -15*t + 8*t + v. Which is greater: 5 or t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6694156 is divided by 1624.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*h - 4. Let p = -2.2 - -2.2. Which is bigger: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728 = 18*a + 8*a. Calculate the remainder when 78 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 3*u**2 + 0*u**2)*(-2 + 1 + 3) + (2*u + 5 - 5)*(-3*u - 996 + 1977 - 1072).\nAnswer: -2*u**2 - 182*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 31. Let n = 49\/4 + k. Let s = n - -1\/4. Which is the smallest value? (a) s (b) -3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7705 = 51945 + 43867. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i - 9 = -4*z, 4*i - 32 = 3*z. Let p(d) = d**2 - 3*d - 7. What is p(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4830 - 4833. Let y(c) = 6*c**2 + 14*c - 7. Give y(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 + 4. Let q = -164 - -163.937. Let z = -15.937 + q. What is the closest to 1\/2 in t, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8*((-1527)\/(-2))\/3. Suppose i = -4*d + 3584, 2*d - 3*i + 244 - v = 0. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 4875718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9240 divided by 1848.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmhhmhhmwm. Give prob of picking 3 m and 1 h.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3 - 116*l**2 + 2181*l - 3906 = 0. What is l?\nAnswer: 2, 21, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/5 + 8*s**4\/5 + 54*s**3\/5 + 76*s**2\/5 + 32*s\/5 = 0 for s.\nAnswer: -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*n**2\/2 + 24*n + 10.\nAnswer: (3*n + 2)*(9*n + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 63.1 (b) -4 (c) -0.1 (d) -3\/2 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 4*w**2 - w. Let n(t) = -2*t**2 - t. Let q = 401 - 404. Give q*v(h) + 5*n(h).\nAnswer: -3*h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*h**2 - 265 + 7*h**3 - 2*h**4 + 265 wrt h.\nAnswer: -48*h + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1336 - 1138. Suppose -5*h + 152 = -263. Suppose 7 + h = 5*t. Calculate the greatest common factor of k and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 121513591\nAnswer: 36454077.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.4629 and 0.058.\nAnswer: 2.5209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4464 + -4406. Solve a*r - 132 = 102*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*r = -44*r + 9. Solve 2*v = r*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, 3, -0.6, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from jvjjjvvjvbjdjjqvqv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x + 1 - 103*x - 79*x.\nAnswer: -167*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -4025 + 25*x**2 + 4025 - 10*x**3 - 15*x = 0.\nAnswer: 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3912904399 plus -25?\nAnswer: -3912904424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 1 - 2)\/(3\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (12 - 26) - -14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20313118 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 15721124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from ocuqoq.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 228828583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 10*s**2 - 8*s - 4. Let j be b(9). Suppose x + 20 = j*x. Suppose 2*g + 4*v = -2*g - 12, -x*g - 4*v = 12. Solve 0 = -f - g*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1675332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-75957*t - 21213*t + 19336*t - 8406*t)*(-3 + t + 3) as q + y*t**2 + i*t and give y.\nAnswer: -86240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-124)\/10 + 12)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from vtteiov?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**4\/12 - 2*s**2 - 24*s. Let m(j) = 6*j + 11. What is h(m(q))?\nAnswer: -12*q - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**4*b**(-1)\/b*b assuming b is positive.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/48 + 1)*12. Suppose 2*t + 2*y - 6 = 0, 5*t - 4 = -y + 11. Let x(z) = -z**2 + 5*z - 4. Let p be x(4). Solve p = -s*r - t*r - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 8)*4\/12. Suppose 31 = c*g - 8. Which is greater: 14 or g?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29935379*u**3*v**2 - u**3 - 68288966*v**2 with respect to u.\nAnswer: 89806137*u**2*v**2 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 + 37196.30583\nAnswer: 37197.50583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeeeeeeeezee. Give prob of sequence ez.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73 + 134 - 70)*(24 - 236*s - 48 + 24) as o + m*s and give m.\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105886513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1252, 1255, 1258, 1261, 1264, 1267?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39204589378 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2318?\nAnswer: 1\/2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*i - 12 = -3*x, 6*i = 2*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - ((-76)\/(-13) - 0 - 6\/(-39)). Solve -j*p - 13 = n, -p + 34*n - 29*n + 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 divided by -6?\nAnswer: 721\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96291.\nAnswer: 3, 13, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4 (c) -7\/2 (d) -1662124 (e) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17090 and 85829398.\nAnswer: 3418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0.3 (b) 0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1981916796 rounded to 4 dps?\nAnswer: -0.1982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 528885693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*b = 30, -30 = m - 3*m - b. Let a be (-3)\/3 + 0 + m. Is (a\/21)\/(4\/3534) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -3*i - 157, 300*v = -4*i + 297*v - 232 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4065, -4063, -4061, -4059, -4057, -4055?\nAnswer: -4053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 20 - 92 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 7*n + 5. What is y(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141720262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**3\/6 - h**2 + 3*h. Suppose -3*w + 53 = 20. Suppose -b = -14 + w. Determine v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -294*n + 954*n - 262*n - 305*n - 88 in the form h + s*n and give h.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -5) + 4 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + f**3\/6 + 7*f**2\/2 - f - 529. Determine r(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 8*c + 50. Let l be s(-12). Let j(k) = k - 2*k**3 - l*k + 2*k + 491*k**2 - 492*k**2. Determine j(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3401*c**2. Let j(p) = -p - 3860 + 0*p + 3860. What is m(j(u))?\nAnswer: -3401*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.5, -22.\nAnswer: -22, -0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqccqqcq. Give prob of sequence cq.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3984586*v = 3986004*v - 102096 for v.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -49\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10883 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3330, -3, 0 in decreasing order.\nAnswer: 0, -3, -3330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 5 - 5)*(-4*l**3 + l**3 + 4*l**3) - 8*l**4 - 201*l**2 + 201*l**2.\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 527755*z**3 - 4*z**2 - 5905571?\nAnswer: 1583265*z**2 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -19*x**3 - 29*x**2 + 5*x - 5. Let n(t) = -9*t**3 - 15*t**2 + 2*t - 2. Let s(w) = 5*n(w) - 2*z(w). Find the third derivative of s(q) wrt q.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -2155 in descending order.\nAnswer: 6, 5, -2155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.771 - 0.229. What is the third biggest value in u, 0.13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1004*p**4 + 411643*p**3 + 1657378*p**2 + 1657668*p - 4968 = 0. What is p?\nAnswer: -2, 3\/1004, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (93\/(-1) - (-5 - -2)). Calculate the common denominator of (127\/(-124) + 1)*(-2980)\/b and -1\/12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajggajgffabajababj. What is prob of sequence ga?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 37 = l + 4*c, 0 = 3*l + 2*c - 31. Let m(j) = -j**2 + 11*j + 6. Let t be m(5). What is the highest common factor of l and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3014314 - 10?\nAnswer: 3014304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -373.556335 and -0.1?\nAnswer: 373.456335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/4 (b) -5 (c) 0 (d) -54 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2201\/2 + 1134. Find the common denominator of r and (1\/(-10))\/(4\/424).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 9*k + 7. Let v be y(-7). Let q = 1 + v. Let n(b) = b**2 + 7*b + 8. Let j be n(q). Solve -5*u = 15, j*m + 0*m - u - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9 = -2*b + 3, 5*u - 3*b = 5. Suppose -10 = -4*y - 5*r, -2 = -3*r + u. Suppose 4*m + y*m - 224 = 0. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 467, -1880, 12\/7 in descending order.\nAnswer: 467, 12\/7, -1880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 12:37 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(4 - 3 - 3 + (-2 + 0 + 0)*(1 - 1 + 1) + 0 + 6 - 3)*(2*n + 3 - 3).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53 - -0.13. Let w = 0.5 + 4.5. Let g = 9\/13 + -97\/65. What is the second biggest value in w, v, g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2, -504, 0 in ascending order.\nAnswer: -504, -23, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 6*f + 4*n + 11 = -4*f, 4*n - 4 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 14. Let y be (-12)\/3 + h - -2. Calculate the greatest common divisor of 121 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-30)\/(-40)*(-552)\/(-18) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2)\/x*x*x**(-3)*x)\/((x**(-9)\/x)\/x**6) assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2078 - 825. Let f = 1256 - o. Factor 4\/17*p**2 - 2\/17*p + 0 - 2\/17*p**f.\nAnswer: -2*p*(p - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27348098*z - 108733645?\nAnswer: -27348098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04888 and -0.06567?\nAnswer: -0.0032099496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0.06135 (b) -2\/3 (c) 0 (d) -5 (e) 2 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -522*-8762.8.\nAnswer: 4574181.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/102)\/((-3)\/(-18)) + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -18*c + 16*c. Let a be 37\/(-20) + 1 - 18\/c. Suppose 0 = -5*u - 19 - 16. What is the second biggest value in a, u, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 594090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(684) - (sqrt(684) + -2*(sqrt(684) - sqrt(684)*2))) - (0 + sqrt(684) + (0 + sqrt(684))*5 + sqrt(684)))*4)**2 + 3.\nAnswer: 273603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 35*w - 4. Let n(q) = 18*q - 2. Calculate -5*n(l) + 3*s(l).\nAnswer: 15*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5519849 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 751 - 751.0000062. Round h to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(192)*-2 + 0) + (0 + sqrt(192)*-2)*1*6)**2.\nAnswer: 864*sqrt(3) + 6993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = -0, 4*n + 4*b - 732 = 0. What is the derivative of 37 + n*d - 237*d + 103*d wrt d?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-102)\/2*(-50)\/(-15). Calculate the common denominator of 53\/13 and i\/4*(-8)\/30.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 6 + -6 + -2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48.7 - -48.4. What is the second smallest value in y, 6\/11, 31.4?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-8)\/(-32) - (-1677)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 0 - (-72)\/4. Suppose w - 43 = -4*n - q, -w - 3*n + 26 = 0. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*n**2*r - 200*k**2*n*r - 2*k**2*n - 2*k**2*r**2 - 391*k*n**2*r**2 + 14*k*n*r**2 + 1647*n**2 + 33*n wrt n.\nAnswer: 4*k**2*r - 782*k*r**2 + 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 38. Let k be d(0). Suppose 0 = -5*t - 2*h + 349, -2*h - 278 = -4*t - 4*h. Let u = k + t. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 12. Let z be j(6). Let g be 2\/z + (-364)\/6. What is the units digit of g\/(-9) - 8\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730524197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -8*f - 4. Let m be x(-7). Is 1*m*1\/2 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:11 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 35223 = j, -236 = -5*j - 276. List the prime factors of o.\nAnswer: 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3531 and 1464081.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 15. Put 4, -1\/2, t in decreasing order.\nAnswer: t, 4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 = 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*u**2 + 6 + 10*u + 3*u - 28*u**2 - 84*u**2 wrt u?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 14 = -5*w + 5*p, -2*w = 5*p + 51. Let i be (-58)\/(2 - (-8)\/(-2)). Let r = w + i. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -31. Let k = z + 33.9924. What is k rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4 - (-105)\/14. Let m = j + -4. Solve 4*u - 5 = 2*d + m*d, -3*d - 3 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1, -12, 49 in decreasing order.\nAnswer: 49, 3, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(3 + (-2 + sqrt(99) - (sqrt(44) + 2))**2)*-4.\nAnswer: -480 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.81, -30\/19, 0?\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v**2 - 4*v + 2. Let c(p) = 13*p**2 + 9*p - 4. Let w(s) = 4*c(s) + 9*q(s). Let o be w(2). Is ((-717)\/o)\/((-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.891mg in kilograms?\nAnswer: 0.000090891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, 2, -25, 3, -7 in decreasing order.\nAnswer: 4, 3, 2, -7, -20, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/12 - 7*y**3\/6 - 5*y**2 + 19*y. Let a be q(-5). Suppose a = j - 96 - 47. List the prime factors of j.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 1. Find the third derivative of -7*r**w - 7*r**5 + 2*r**2 - 8*r + 8*r wrt r.\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -58*k**2 + 4740. Let p(h) = -11*h**2. Calculate l(p(b)).\nAnswer: -7018*b**4 + 4740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x*x**(5\/2))*x*x**(2\/39)\/x)\/(x**(-1\/12)\/((x*x*x\/(x**(5\/6)*x*x))\/x)) assuming x is positive.\nAnswer: x**(-343\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -11) + -4 + 6. Let y(u) = -u**2 - u - 1. Let n(w) = -3*w**2 - 7*w - 7. Suppose 0 = -2*l - 5*x + x + 4, 2*l = -3*x + 2. Determine c*y(q) + l*n(q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*t + 3*h + h, 4*t = h + 43. Calculate the least common multiple of (-2172)\/(-21) - (-1 - t\/(-28)) and 22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4935243 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:14 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(132))\/(2*sqrt(192)*-1)*-6.\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 8. Let p(w) = -w - 7. Let d be p(t). What is the units digit of d*1\/2*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*n - 191 - 170 = -489 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132673.\nAnswer: 181, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10613\/7 + -31846\/21. Let y = 1.99 - -0.01. What is the third smallest value in -0.26, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - h = -161, -142 = 4*l + 2*h + 56. Put l, 7, 5 in decreasing order.\nAnswer: 7, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from tttgggggggggtt.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*o + 6*f + 47 = 271*o + 11*f, f = -4*o - 0*o - 167 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -16 + 5404*p + 3 - 5403*p. Determine d(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260961 and 11433.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (50 - 22) - 8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3 + 314*h**2 - 32 + 5*h**3 - 5*h**3 + 32 - 1657*h wrt h?\nAnswer: -6*h + 628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p - 2\/3*p**2 - 10\/3.\nAnswer: -2*(p + 1)*(p + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -189693 and -189674 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/8*0)\/1 - 1. What is the remainder when (78\/(-4))\/(o\/((-64)\/(-6))) is divided by 54?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.550901t to grams.\nAnswer: 1550901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3962992 divided by 86\nAnswer: -1981496\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5201 + -327643\/63. Let p = -589\/63 - a. What is the common denominator of p and 4539423\/1208898 + 2\/(-61)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) -26 (b) 1\/4 (c) -0.5 (d) -15\/2 (e) -4 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(18)\/sqrt(2)*-5)\/(sqrt(3) + sqrt(36)\/(sqrt(12)*1)))**2 + 5.\nAnswer: -15*sqrt(3) + 131\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293 - 291 + 106*b**3 + 123*b**3 to r + a*b + s*b**3 + o*b**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + a + 31 = 0, 5*a + 10 + 1 = -2*p. Is (-2)\/4 - 1140\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*u**3 - u**2 - 107 wrt u.\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + 1 - (0 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:34 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63802 and 22192.\nAnswer: 510416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*g + 0*g - 2*g)*(17 - 6 + 2).\nAnswer: 26*g - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2 = -5. Let w = -6 + 6.6. Let x = 3.6 - w. What is the second biggest value in k, x, -1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 122 + 5)*(-1 - 1 - 1)*(3 + 2*u - 3).\nAnswer: -744*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 55. Is 4 a factor of s(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -7\/848, 3, -18 in descending order.\nAnswer: 3, -7\/848, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:47 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27270713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 283*d**4 - d**3*r**2 + r**2 - 7501*r wrt d.\nAnswer: 1132*d**3 - 3*d**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + (-3 - 2) + (-8 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 6. Let c be s(-3). Suppose -4*x + 2 = -c*x. What is the smallest common multiple of 13 - x*4\/8 and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-4))\/((-3)\/(-4)). Let u = 13 - 13.32. Let t = -0.02 - u. Which is the closest to h? (a) t (b) 0.1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 7*y\/2 + 4.\nAnswer: -(y - 1)*(y + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 76*l + 50. Let f(c) = -38*c - 25. Let w(u) = 6*b(u) + 13*f(u). Is w(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and 29260?\nAnswer: 29259.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7284.32 + -7166. Let i = s - 118. Which is greater: i or -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1921952 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - -37 - (-3 - (-2 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/15 - 28*v**2\/15 - 98*v\/15.\nAnswer: -2*v*(v + 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 5. Suppose 4*w - 7*u - 32 = -22, -u + 18 = -3*w. What is the tens digit of 4 + 102 - (w + s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.451 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 6*k - 7. Let j be o(-7). Let p = j - -3. Solve 0 = -p*x + 5*i, 0*x - 2*i = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120251 < -2284795\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 12*v + 17. Give k(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -35*x**2. Let a = 148 - 146. Let t(b) = -108*b**2 + 3 + 1 + 104*b**a - 4. What is -28*t(d) + 3*v(d)?\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -56*d + 60. Let x be s(-6). Let a be 2\/(-9) - (-16)\/x. What is the fourth biggest value in -4, 4, a, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 10*z - 4. Let r be u(-9). Suppose -4*h + 99 = r*q, 108 = 5*h - 0*h + q. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 - 3*w + 2. Let y be (-65)\/26*8\/(-5). Let d(i) = -5*i**2 - 2*i + 1. Let c(p) = y*z(p) - 5*d(p). What is c(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 2 s when four letters picked without replacement from sabsbxssabxxabbasss.\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13595575*g**2 + 12*g - 86733?\nAnswer: 27191150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -548 and -78.811.\nAnswer: -626.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*o + 3*o - 628 = 0, 5*o - 471 = -3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/20)\/((-1)\/(-5)). Suppose w*x - x - 284 = 0. Suppose -2*q - q + 3*y = -105, 4*q - 5*y = x. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166727.\nAnswer: 11, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 953797 and 7293?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (614 - 618 - (-4 + 1 - -126)) - -2\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t + 7*t + 4*t to p*t + a and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*f + 29*f - 7*f**3 + 20*f + (-28 + 28 - 7*f)*(f**2 + f**2 - f**2) - 2*f**3 + 0*f**2 + 0*f**2 in the form y*f + b + l*f**2 + g*f**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxeuuekeeuzkekoue. Give prob of picking 2 k and 1 x.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -41626633.\nAnswer: -41626628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2) + -1 + (0 - 3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/213531 and -59\/10.\nAnswer: 2135310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 20 = q. Calculate the remainder when 38 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15949221, 15949193, 15949163, 15949131, 15949097?\n\"Answer: -a**2 - 25*a + 15949247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 10019583*z - 40078284.\nAnswer: -3*(z - 3339857)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 218? (a) -2\/7 (b) 2\/23 (c) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1947.206 + 1949.20599794. Let s = c - 2. What is s rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-88)*(-96)\/(-6). Is 2 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:46 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p + 0*p - p. Let c(m) = -6*m + 522 + 523 - 1045. Determine c(n(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010619 rounded to 6 decimal places?\nAnswer: 0.001062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 24. Let c be -5 - -63 - (6 + 3)\/(-3). Let a = -49 + c. What is the highest common divisor of a and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.037 (b) 2\/3 (c) 3 (d) -1\/8 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((84\/378)\/((-2)\/6))\/((-3)\/(-36))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 - (6 + 1 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 639*t**2 + 17810*t + 73200.\nAnswer: (t + 5)*(t + 24)*(t + 610)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 5*c - 4 - 10, -5*p - 2*c = -18. Let a(g) = -787*g + 3*g**2 + 787*g + 2*g**p. Let y(u) = 8*u. Calculate a(y(r)).\nAnswer: 320*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 567*j**6 - 41*j**3 - 44454*j**2.\nAnswer: 68040*j**3 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**5\/20 + c**4\/12 + 2*c**3\/3 + 5*c. Let u be o(-2). Solve 4*m + 7 = u*l - 1, 0 = 5*m - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 48 = -53 + 155 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1963fe (base 16) in base 7?\nAnswer: -20100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 196.\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11231.2 smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7922.33 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 15\/12*(-171)\/45?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + 45*u**3 + 8*u**3.\nAnswer: 47*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7670 is divided by 395?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10197 is divided by 318.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/3))**(-2\/5)*m**(-3)*m*m*(m\/(m*m\/m**(1\/9)))\/m assuming m is positive.\nAnswer: m**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 371008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 2 w when four letters picked without replacement from wkwcvvks.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5470135607 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from 68352213.052.\nAnswer: 68352235.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1694743 + -0.1695. Round z to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6591438.\nAnswer: 2, 3, 7, 52313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1) + 1 + 13. Let w = l - 4. Suppose b = -b + w. Sort -4, 5, b in decreasing order.\nAnswer: 5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11949 + -191121\/16. Find the common denominator of f and 71\/56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34\/6 + -5)\/((-272)\/138 - -2). What is the greatest common factor of 2645 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1717694 = 195*p - 3489254 - 1047092. Calculate the greatest common factor of 152 and p.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q**3 - 260*q**2 - 1189*q - 325. What is p(30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-3\/2)*z)*z**6*z*(z*z**(-2\/3)*z)\/(z**(-6)\/z))\/((z**(1\/2)*z*z*(z\/z**(-8))\/z*z*z)\/(z\/(z**(2\/5)*z*z))**(2\/11)) assuming z is positive.\nAnswer: z**(673\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(9\/7)*o**2\/o)**(8\/5)\/((o\/(o\/o**0))**(-2\/113)\/(o\/((o\/(o\/(((o**4\/o)\/o)\/o*o*o)))\/o)*o**(-2\/7))) assuming o is positive.\nAnswer: o**(83\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 23 (b) 4\/3 (c) 14 (d) -0.2 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -89644.\nAnswer: -8964.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1981850090 by 3.\nAnswer: 1981850090\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522476543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -18*j - 99. Let r be 64\/(-6) - -2 - 5\/(-3). Let v be g(r). What is the highest common divisor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/48 and 95\/2032.\nAnswer: 6096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/11 in 3, -101, -4\/25, -3, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79195175411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 2)*(-1 + 5 - 2)*(-3*u**2 + u**2 + 0*u**2) + 0*u**2 + 4*u**2 - u**2 to i*u**2 + k + o*u and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 4*h - 3. Suppose 55 = 5*o - 5*i - 0*i, -3*o + 51 = 3*i. Let z be 7\/o + (-14)\/4. Calculate t(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvn when three letters picked without replacement from vnuznnnd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -20 + -9 + (5 - -4) + -14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1430 and 39.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5122\/71, 16, 28 in decreasing order.\nAnswer: 28, 16, -5122\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13945 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/147*2\/4. Suppose 5*h + 0*h - 4 = -2*f, 3*h = 5*f - 10. Suppose f = -a + 3. What is the biggest value in a, -2\/5, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 2*j + 2*j)*(2*j + 2 - 2*j**2 - 2*j + 3*j).\nAnswer: -2*j**3 + 3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 + 1. Let p be (-3158)\/(-14) + -7 + 180\/28. What is the greatest common divisor of q and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -2)*6\/(-1). Suppose -7*v = -l*v. Solve 4*i - 8 = -v*i - 3*s, -6 = -3*i + 4*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + p**2 - 4*p**2)*(37*p**2 + 39*p**2 + 107*p**2) + 10*p**2 - 10*p**2 + 9*p**4 + (p**2 - 2*p**2 + 2*p**2)*(2*p**2 - 3*p**2 + 3*p**2).\nAnswer: -172*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s + 2. Let l be -1*2 + -5 + 5. What are the prime factors of b(l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 3111?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in -1\/6, -161, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 4*d**2 + 3*d + 4. Let f be b(-3). Solve f*o = -3*h - 5, -h - 4*o = -0*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnmnnrfnknntrrnnnnn. Give prob of picking 3 r and 1 f.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/7 + (-15262)\/91. Let w = g + 167. Which is the closest to w? (a) -4 (b) -1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30989 divided by 1.\nAnswer: 30989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*i - 480*i + 6117 = 6437 + 15828 for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466 = 2*r + 454 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 7, z: 7, c: 5}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(72)\/sqrt(6)*-2 + -2)*-2.\nAnswer: 8*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 8 = 4*s, -20 = 5*h. Let d be 243\/45 - (-3)\/s. Let q be d\/14 + 37\/(-70). Do 0 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15048896, 15049002, 15049180, 15049430, 15049752, 15050146?\nAnswer: 15050612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -0.1367633265\nAnswer: 0.1632366735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 1)\/(2\/6). Let g be 27 - 18*(-20)\/(-90). What is the derivative of g + 127*c**q + 12*c**4 - 127*c**3 wrt c?\nAnswer: 48*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u - 24. What is v(13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4076 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {s: 2, w: 3, o: 2, e: 8}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 + 21*j**2 + 11*j**2 - 13*j**2.\nAnswer: 29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.4 (b) 71 (c) 11 (d) 5.3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -294.5, 3\/7, -0.07, 2\/7, -2\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) 2\/9 (c) -455 (d) 3 (e) -3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -0.2, 3, 3\/2, 11721?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -201 + 205. Suppose 5*v + 5 = -s + 3*v, 3*s - 25 = g*v. Which is the third biggest value? (a) 0 (b) s (c) 0.2 (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/7))\/(l**12*l))\/(l**(-1\/3)\/(l*l**(1\/3)*l)) assuming l is positive.\nAnswer: l**(-193\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(91) - (sqrt(91) - (sqrt(91)*1 + sqrt(91) - sqrt(91))*-1))\/(4*sqrt(84)\/(sqrt(12) - (-2*sqrt(12) + sqrt(12)))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20216224.\nAnswer: 2, 7, 12893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185, -359, -499, -587, -605, -535, -359?\n\"Answer: 3*l**3 - l**2 - 192*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 214. Let l be -6*(-1)\/2 + q. Let w = 66 + l. Calculate the remainder when w is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 20*z + 19. Determine n(20).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150 is divided by 223.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -740 - -485. Let f = -116 - p. Round f to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*i - 2048, 5*i - 681 = 4*i + j. Suppose 2*v = -4*o - 0*v + i, o - v = 173. Calculate the greatest common divisor of o and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, r: 1, z: 2, v: 2}. Give prob of sequence xrv.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10.256992 + -0.13\nAnswer: -10.386992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2092*r + 2843*r + 1939*r + 2953*r + 1080970 for r.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -0.2, 19, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-3)\/2*2. Let o = -0.0135 - -340.0135. Let i = -339.8 + o. What is the closest to 5 in x, -2\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2. Let n(z) = 11*z**2 + 25*z**2 + 42*z**2 - 20*z**2. What is n(i(y))?\nAnswer: 232*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o = -10. Let s(w) = -4*w**2 - 11*w - 8. Let z(k) = 5*k**2 + 11*k + 8. Let j(b) = -4*s(b) - 3*z(b). Let a be j(o). Is -2 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-94)\/(-18) + 1151\/8057*(3 + -80)\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -1\/3 (b) 4 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2060255.\nAnswer: 5, 412051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -654835?\nAnswer: -654836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 476072 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: Calculate the remainder when 200929 is divided by 33353.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 5. Let j = -6 - p. Let s = j - 0.6. What is the biggest value in -3, -2\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289 + -245. Let m = 8 + -4. What is the highest common factor of v and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times -0.018\nAnswer: -0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*x = 21*x + 1587. Calculate the smallest common multiple of x and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 15 - 4*x - 6*x - 93 - 8*x.\nAnswer: -15*x - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995824828 to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 3*b**3 + 5*b**3 + (-2*b + 3*b**3 + 2*b)*(7 + 30 + 7).\nAnswer: 134*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 73473.25l in millilitres?\nAnswer: 73473250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.3 + -2.1. Let g = 28 + f. Let a be 2\/((8\/(-3))\/4). What is the nearest to 2 in g, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/(-20)*(-8)\/14. Let z = b + 17\/14. Suppose -12 = 6*c - 2*c. What is the nearest to -0.1 in z, c, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.012 and -46.\nAnswer: 0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195d (base 14) in base 5?\nAnswer: 121331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 19*a + 456. Let w be c(-23). What is the greatest common factor of 1159 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6866 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 + (5 + -2)*(-8)\/(-6). Let n(t) = 1 - 42*t + 8 + 9*t**2 + 3*t**3 + d*t. Let w(a) = -2*a**3 - 4*a**2 + 4*a - 4. Give 4*n(x) + 9*w(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-240)\/96)\/((-1)\/(-2)). Sort -3, a, 2, 3 in descending order.\nAnswer: 3, 2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/(-33))\/(8*17). Let d = -26539\/3740 - x. Find the common denominator of -47\/36 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -0*g. Suppose 4 = -0*f + g*f. Calculate the greatest common factor of f and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.917 - -0.083. Let l = i - 71.000213. What is l rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (32\/(-48))\/(2\/(-180)). Let t = -1 + 20. Let q = o - t. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - l**2 + 2 + l**2. Suppose -v + n = 2*v - 2, 8 = -4*v - 4*n. Let f be t(v). Solve 2 + 4 = f*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 + i + 0*i + 14*i**4 - 11*i**4 in the form k*i + t*i**4 + b + w*i**2 + o*i**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 309 = -417. Does -54 = h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 84. Let w(c) = 14. Let v(u) = g(u) + 6*w(u). Let j(m) be the first derivative of 3*m**2 + 8*m**2 - 5*m**2 + 5. Determine j(v(y)).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 19*c + 0*c)*(1 + 2 + 1)*(-5 + c + 5) as v*c + i*c**2 + g and give i.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.59 - 150.59. Let k = 143.421 + 6.669. Let c = k + o. What is c rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(36)\/(-2*sqrt(3))) + 2)**2*-3 - (0 + sqrt(192) + -1 + -1*sqrt(192)*3)**2*-5.\nAnswer: 184*sqrt(3) + 3797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o. Let a be ((0 + -1)*0)\/(-1). Let i(g) be the second derivative of 0*g**2 - 1\/6*g**3 + a - 3*g. Give i(y(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3317 + 3317.0012886. What is p rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t - 9*t + 29*t - 5 + t - 10*t + 11*t**2 as x*t**2 + o + z*t and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1233 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17, 76, 179, 326?\n\"Answer: 22*q**2 - 7*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 5*m + 2. Let f be d(-5). Suppose 13 - 3 = f*n. Suppose 3530377 = 4*l + 4*h + 650369, 0 = -n*l - 3*h + 3600006. Round l to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2464, -2473, -2502, -2563, -2668, -2829?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2565\/60 - -2*(-2)\/(-16). Let j = 389 - a. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.061 - -0.1. Let z = l + 0.008. What is z rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 21060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1416536 - -5?\nAnswer: -1416531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28734 is divided by 279?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 - -0.1. Let b(u) = 9*u**3 + 5*u**2 - 5. Let a be b(1). Suppose -5*i - 4*c = 34 + 38, -3*c = a. What is the third biggest value in h, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 7*f + 21. Solve 4*n = f*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 1636*y + 669100. Determine g(-820).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -35*t**3 + t**2 + t. Calculate the remainder when d(-1) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -681 (base 9) to base 11\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 171 + 208. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25603*h**6 - 59*h**2 + 115*h.\nAnswer: -3072360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -0*t - 8. Let i(o) = -7*o**2 + 12*o - 1. Let j be i(2). What is the smallest value in t, j, 0.17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147.34 + 147.3. Sort n, -2, 19, 0.3.\nAnswer: -2, n, 0.3, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -290*v - 41. Let k be 2*(-4)\/18*-18. Let j be y(k). What is j rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/2))**8\/(j**(2\/3)*j)**(-16\/9)*(((j*j\/(j\/j**(-1)*j))\/j)\/j**(-2\/11))\/(j*j**(-8)*j*j*j**(-2\/11)) assuming j is positive.\nAnswer: j**(3067\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - -3 - (32 + -26)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-12)*-1*(-44)\/33\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (13 - 40) + 29 + (-26 - -3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)*32\/(-4). Let h(q) = -q + i*q**2 + q**3 + 2 + 3 - 3*q. Let b be h(-5). Round b to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -15. Calculate the common denominator of -123\/20 and 65\/i + 1 + 1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4916244 hours?\nAnswer: 1769847840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 170, 254, 338, 422?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + 0 + 3 - ((2 + sqrt(147))*-6 - sqrt(147)))**2 - ((sqrt(147) - -1*sqrt(147))*1 + 2)**2.\nAnswer: 1624*sqrt(3) + 9041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46444882*h**3 - 1210413*h.\nAnswer: -278669292*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o - o)*(-4 + 4 - 2*o**2 + (o - o + 2*o)*(3 - o - 3)).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2 + 39*w**2 - w**3 + 1890 - 1890 - 325*w = 0 for w.\nAnswer: 0, 13, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**2 + 5*x**2 - 4*x**2)*(-2637 - 1111 - 1107 - 3750) in the form y*x + h*x**2 + u and give h.\nAnswer: 17210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9728\/380)\/(4\/90). Suppose -2*r + r + 144 = s, 0 = -4*r + s + j. What is the greatest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6812, 13591, 20358, 27107, 33832, 40527?\nAnswer: 47186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.590418 microseconds to days.\nAnswer: 0.000000001152666875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-75)\/18 + (-1)\/(-6). Let z(u) = 2*u**3 + 8*u**2 + 2. Let d(g) = g**3 + 4*g**2 + 1. Let q(j) = 5*d(j) - 2*z(j). Calculate q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 167, 163, 121, 23, -149, -413?\n\"Answer: -3*t**3 - t**2 + 20*t + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:43 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 100141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(12\/(-3)))\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1541*m**2 - 1541*m**2 + 42*m**4 + (4*m + 2*m - 23*m)*(-4*m**3 + 5*m**3 - 3*m**3) to o*m + c + t*m**4 + s*m**2 + r*m**3 and give t.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 - 108 + 176*r as z*r + n and give z.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f**3 + 10*f**2 - 9*f - 4. Let c(l) = -2*l**3 - 5*l**2 + 4*l + 2. Let r(v) = -2*v + 3. Let t be r(-3). What is t*c(b) + 4*s(b)?\nAnswer: -2*b**3 - 5*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215788346?\nAnswer: 2, 23, 617, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.31 - 0.74. Let x = t + 0.05. Which is the nearest to x? (a) 4 (b) 4\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(4*(sqrt(180) + 0))**2*-1 + (1 + (sqrt(180) + -4 + sqrt(180)*2)*-2)**2).\nAnswer: -71523 + 1944*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104233 is divided by 104174?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 8*u**2 + 6*u. Let b be a(-5). Let v be (50\/b)\/5*-3. Are v and 0.07 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 69*n + 2674. Let f(r) = 19*r + 731. Let u(a) = 11*f(a) - 3*g(a). Let h(d) = 6*d**2 - 3*d**2 + d**2. What is u(h(p))?\nAnswer: 8*p**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -337 by 275236.\nAnswer: -337\/275236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - 3*y - 11. Let r be p(5). Suppose -2*a + 3*a = r. What is the remainder when 47 is divided by a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667429\/328 >= 11180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 196*j - 317. What is c(63)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5973)\/362*(-4)\/(-6) + 47. Solve 1410*l = 1419*l + a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3553\/3 + -2405\/2. Calculate the common denominator of n and 35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1358725814?\nAnswer: 2, 41, 16569827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0578142 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 38. Let n be 4*((-1)\/2 - -1). Calculate the greatest common divisor of b and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 123520, 123513, 123506, 123499, 123492?\n\"Answer: -7*j + 123527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73212593 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*j = -20, -j + 6*j - 25 = 4*k. Let u = k - -2. Let l(z) = -3 + 0 - 5 + 14982*z - 14983*z + 2. Let a(y) = -5. What is u*l(p) - 3*a(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 235 - 265. Which is the nearest to -24? (a) 0.2 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31264*r**3 + 17277*r**2?\nAnswer: 187584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -769*y + 2. Let b(r) = -1. Let h(a) = -6*b(a) - t(a). Let v be h(2). Suppose 4*z = v + 830. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3542 and 308?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(81) + (1*sqrt(81) - sqrt(81)))\/sqrt(3))\/(6*sqrt(144)))**2.\nAnswer: 1\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 c when three letters picked without replacement from {v: 2, o: 7, l: 1, c: 3, j: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8976 = -28*u. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 412 = 8*l, 0*l + 26*c = -2*l + 3*l + 13 + 13 for l.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15404 or -15912?\nAnswer: -15912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 53*n + 161. Give c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424422, -848859, -1273296, -1697733?\nAnswer: -2122170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110101101 (base 2) to base 12.\nAnswer: -3265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -59686 to the nearest one hundred.\nAnswer: -59700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -437205 + 781468. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.1 and 52942.09466.\nAnswer: 52945.19466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-2) - -3*3. Let i be (-200)\/50*(-6)\/(-4). Let p = g - i. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 177335384 times 3\nAnswer: 532006152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(11) - sqrt(22)\/sqrt(2))*-2 - ((-2 + sqrt(99))**2 + sqrt(11) - sqrt(11))) + -6*(sqrt(1331) + 0 + -4)).\nAnswer: 316 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -485.09 - -485. Which is the closest to 1? (a) 5 (b) o (c) -0.06 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -574 + -13?\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5427 (base 8) to base 9.\nAnswer: -3804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -0.3 (c) 2\/15 (d) 4946\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.12, 2, -32\/755, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281722, -281724, -281726, -281728, -281730, -281732?\nAnswer: -281734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 1. Let q be h(3). Let s be q - -3 - (-6)\/(-2). Solve -3*b = s*j + 12 + 3, 4*b - 3*j + 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*n**6 - 88 + 6*n**2 + 200 + 672*n**3 + 3*n**6 + 566*n**3 + 294 wrt n.\nAnswer: -240*n**3 + 7428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 221.14 and 443449113.\nAnswer: 443449334.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Suppose 1 + 14 = h*i. Suppose i*u = -4*x - 0*u + 22, 3*u = 2*x - 20. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-2))\/(22 - 1222\/52).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -35*p - 6. Let l be d(-5). Suppose l*o - 172*o = -60. Solve 3*s - 15 = 5*r, -4*s - r + o = 2*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1206\/(-342) + 1 + 0. Is y at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110112133 (base 4) to base 2.\nAnswer: 10100010110011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2427971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -86?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -37, -56, -75, -94?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3591827*j - 3592131*j - 6992 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 3100?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -1101010111010100110?\nAnswer: -1101010111010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2.62*0.01567\nAnswer: -0.0410554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at most 93\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*v**5 - 1136\/3*v**2 + 560\/3*v - 388\/3*v**3 + 0 + 424*v**4 = 0. Calculate v.\nAnswer: -1, 0, 2\/3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36800537093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 113891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 285817173 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0, 35, -3, -187?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - x**2 - 2*x - 1. Let g(y) = y**2 + 6*y - 24. Let p = -91 - -82. Let i be g(p). What is the remainder when 21 is divided by r(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1154004410 - -1154004447.00000068. Let f = w - 37. Round f to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 793711908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 12:08 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**5\/20 + r**4\/12 + r**2\/2 - 35*r. Let k(s) = -7*s**3 - 5*s**2 + 2*s - 6. What is 5*i(b) + k(b)?\nAnswer: -2*b**3 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 - 2\/4*(0 + 0) and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33916 - -8a?\nAnswer: 339a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14953, -27946, -40939, -53932, -66925?\nAnswer: -79918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - -9 - (2 + 0). Suppose a = -p + 20. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = -n, 4*n = -0*n - 4*v + 12. Let s be 3*n\/(-3) - 8. Let m(x) = x**2 - x - 10. Is m(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -471*j**5\/5 - 591*j**2\/2 - 1469*j. Find the first derivative of s(i) wrt i.\nAnswer: -5652*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305693691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/4 - (-3)\/6. Let b = -7 + l. Suppose -2*r + 4*s + 30 = -s, 2*s = b*r - 34. What is the remainder when 18 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v + 246. Determine g(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -734\/7 - -105. Let p = -277 - -464. Let s = -182 + p. What is the closest to 2 in s, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*j + 325 = -707 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 127878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*g - 1890 = 156*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**3 + 6*j. Let f(x) = -8*x**3 + 21*x + 4*x**3 - 16*x. Suppose 3*n = n - 10. Calculate n*g(a) + 6*f(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234 + -233.897. Let m = -0.703 + x. Is m less than -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 96*a**2 - 36*a - 127. Is r(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 4. Let r be b(0). Let d be (-528)\/770 + r\/14. Let i = -2546\/13 - -196. What is the closest to d in -4, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-l + 3*l + l) + 5*l - 6*l + 3*l + (-3*l + 5*l - 3*l)*(-10 - 24 - 23).\nAnswer: 62*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose 2*a - 2 = l + 3*a, a + 5 = b. Is 84 - (2\/(-6))\/(l\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, 1, -39, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 512655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7485065kg to grams.\nAnswer: 748.5065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2600\/(-6500))\/((-44)\/10)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43446240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -116*b**4 - 447*b**3 + 38447 wrt b.\nAnswer: -464*b**3 - 1341*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1 - 831\/(-830)). Let f = -4112\/5 - q. Let r = 4478\/5 + -905. Calculate the common denominator of r and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**2 - g**2 - 2*g**2)*(-18 - 20 + 8 + 2*g - 13) to the form r + q*g + x*g**3 + c*g**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4132002 (base 5) to base 13.\nAnswer: 24ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8432 - 8432.0118944. What is p rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16327\/43 smaller than 380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6595 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = j + 11 - 0, 5*j = 4*x. Suppose -6 + 6 = -x*w. Suppose -4*m + w*m - 3*n + 135 = 0, 0 = 4*m - 3*n - 153. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 2*d - 1. Let n be q(-1). Does 7\/19 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.245 times 0.3\nAnswer: -0.0735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 0*l + 5. Suppose 5*p = 2*s - 18 - 1, -l*p + 65 = 5*s. What is the remainder when 4\/((-20)\/(-2050)*5) is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*o**2 + 222 - 24*o**2 + 2*o - 2*o**4 - 232 - 2*o**3 in the form m*o**3 + a*o**2 + t*o**4 + d + s*o and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5820 + 5817. Suppose -2*g - 2 = -g. Which is the biggest value? (a) u (b) g (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, n: 11}. Give prob of sequence njj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 8*a + 7. Give h(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87314023 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/23 - 236638\/(-30406).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10470 + -10469.9998887. What is p rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s - 9*s - 2*s)*(2*s + 0*s + 0*s)*(0*s + 0*s - 9*s).\nAnswer: 306*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8541)\/219)\/(-78))\/(3*(-2)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 72*w + 1731. Calculate v(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 4*x - 53. Calculate q(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 + 1121000200?\nAnswer: 1120222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18781289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 678\/4 - 1\/(-2). Let h = 41 + d. What are the prime factors of h?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddj when three letters picked without replacement from {j: 2, d: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0 + 0*b + 1\/420*b**8 + 1\/30*b**6 - 1\/30*b**3 + 1\/30*b**5 + 0*b**4 + 1\/70*b**7 + 4*b**2. Factor d(c).\nAnswer: (c + 1)**4*(4*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*v - 225\/2 + 1\/2*v**2.\nAnswer: (v - 75)*(v + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102320301 (base 4) in base 10?\nAnswer: -77361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 133\/252 - (-4)\/18. Let u(q) be the first derivative of -2\/3*q**3 - 3 + 0*q - i*q**4 + 0*q**2. Find the third derivative of u(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1305*y**2 + 102*y + 3. Let t(k) = -k**2 + 25*k + 1. Give -4*t(l) + v(l).\nAnswer: -1301*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/4 + 5*y**3\/3 - 7*y**2\/2 + 7*y - 10. What is b(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, u: 3, k: 6, m: 6}. Give prob of sequence mll.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -24651156 divided by 12325578\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1824, -1925, -2036, -2163, -2312?\n\"Answer: -m**3 + m**2 - 97*m - 1727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsdndnnndrdddrrndd. What is prob of picking 3 d and 1 n?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -89. Let y = -42.99963 + w. Round y to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15053 and -196.\nAnswer: 2950388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:59 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -30 (b) -5 (c) 4 (d) -121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -48, 3, -5, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 6. Let o = n + 11. Let z = 0.6 - 0.5. Which is the closest to 1? (a) o (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojgnngsgngncsoggjjgn. What is prob of picking 1 s, 1 c, and 2 o?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 1, -10.2, -0.3, 64, 2 in descending order.\nAnswer: 64, 3, 2, 1, -0.3, -10.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l**6 - 1\/56*l**8 + 0*l**7 - 1\/12*l**4 - 4*l**2 + 0*l**5 + 0*l**3 + 0 + 0*l. Find the second derivative of s(g) wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 7*n - n**2)*(-9*n**3 + 5*n**3 + 0*n**3).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2030 + -84?\nAnswer: -20b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**2*m**(-4)*m*(m**(-8)\/m)\/m*m**(-5\/2)*m)\/((m*m**(-5)*m**(-6))\/((m*(m\/((m*m**6*m)\/m))\/m)\/(m\/m**(5\/2)*m*m))) assuming m is positive.\nAnswer: m**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u - 25 - 10*u + 25*u to the form m + t*u and give m.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -0*q - 11*q + 91 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**3\/3 + 91*y**2\/3 + 266*y\/3 + 176\/3 = 0.\nAnswer: -88, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -284, -767, -1572, -2699, -4148, -5919, -8012?\n\"Answer: -161*m**2 - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 448759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 12 = 2*b - 0, 4*b - 9 = -j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) 1\/3 (b) 0.1 (c) 2\/9 (d) 41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jpjpppjpppjppj.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3595 - 32*s**2 + 3595.\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 12 = 3*i. Sort i, -5, 2 in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/3)\/(22\/6). Let g = 0.02 - 0.04. Let o = -0.146 + 3.146. Which is the second smallest value? (a) o (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*u = 2*g - 2, -5*g + 55 = -5*u. Let j(a) = 5*a - 4. Let t(v) = -2*v + 1. Let k(i) = -2*j(i) - 7*t(i). What is the tens digit of k(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 1 + 7 = 0. Suppose -3*d + n*d - 10 = 0. Find a such that -7*a**3 - a**5 + 2*a + 6*a**5 - 3*a**d - a**4 + 4*a**4 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242687629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 373, 20, -4, 2.\nAnswer: -4, 2, 20, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i - 8. Suppose i = k + 3*k. Is 2\/5 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4173 and 25359?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*0.00530455\nAnswer: 0.0004774095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -16 - -7 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1197, -1337, -1477, -1617, -1757?\nAnswer: -1897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1*b)\/b*b)\/b**1)**19\/((b*b**(-7)*b)\/b*b*b*b**(-8))**(-50) assuming b is positive.\nAnswer: b**(-581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5911130 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let g = z + -2. Does 15 divide 37 - 3\/(3\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781464 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 - 15*r + 8. What is z(-4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6378*k**4 + 3*k - 476?\nAnswer: -76536*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-108)\/81 - 15628\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-26)\/(-4))\/13)\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.854 millilitres in litres?\nAnswer: 0.614854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/(-8))\/9*2. Let s = 2 - 7. Let l be 3*7\/s + (-1)\/(-5). What is the closest to 3\/5 in -1, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-348)\/(-10))\/((-9)\/(-30)). What is the greatest common divisor of p and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 2*p - 3. Let i be z(2). Let c = 11 - i. List the prime factors of (33\/6*c)\/1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514893.5ml in litres?\nAnswer: 514.8935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -745*a**3 - 3*a**2 - 6*a - 3. Let u be p(-2). Suppose 8*i - u = i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1342*r**4 - 2*r**2 + 5*r**3 - 6*r + 2 - 1347*r**4 - 2 wrt r.\nAnswer: -120*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 642 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -107 + 110. Suppose 5*b - 2*s = 236, -b = -r*s - 24 - 31. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28532058827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*3\/7. Let j = 3 + -2.9. Let t = 4 + -6. What is the closest to t in z, 4, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - i**2 - i + 4. Let f be a(0). List the prime factors of ((-30)\/f)\/3*-6.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 84 + (60 - 44)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.3 - 7. Let u = p - 0.2. Let j = -0.1 - u. Is j greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*r + 704, -4*t - 3*r - 29 - 640 = 0. Suppose 1144 = 2*n + 2*n. Let i = t + n. Calculate the highest common divisor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -645 divided by 215\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 89. Suppose t = -3*t + 8. Suppose g + 5*j - 32 = 0, 5*g + 3 = t*j + 55. What is the highest common factor of g and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*p - 2*p + 13 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2110000 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 171 - 126 - (-2 - (-2 - 13))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1675*q - 5618*q - 639*q + q**2 in the form y + m*q**2 + f*q and give f.\nAnswer: -7932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let a(q) = -q + 1. Let j(w) = -4*w - 1. Let k(u) = -6*a(u) + j(u). What is k(y(t))?\nAnswer: 8*t - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 217619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -157 - -300. Let l = j - -118. What is the highest common factor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + (sqrt(171) - (1 + sqrt(171) + -1)) + 3*-1*sqrt(171)*3)**2.\nAnswer: 13846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 15*n**2 + n - 12. Let c(a) = -7*a**2 + 6. Let p(i) = 13*c(i) + 6*h(i). Is 3 a factor of p(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 495*q + 493*q + 376 - 1990*q + 501*q + q**2 + 502*q to the form h + s*q**2 + m*q and give h.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*z + 27 = p, -5*p - 3*z = 66. Let x = p - -17. Suppose 2*t = -3*n + 25, -2*n = 3*t - 0*n - 25. Solve 23 = -m + 5*y, t*m = -x*y + 2 + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*x**2 - 20*x + 8*x**2 + 30*x.\nAnswer: 81*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 3*u - 14*z - 14378, 3*u = 4*z + 14366. List the prime factors of u.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3887237595 to the power of 1\/2, to the nearest integer?\nAnswer: 62348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z - 23. Let u be p(-6). Let o be 0\/(-1) - 17\/u. Let x = -4331\/9 - -481. Which is the nearest to o? (a) x (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22031153 to three decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 379686 and 569529.\nAnswer: 1139058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - w + 12, 0 = 4*n + 4*w + w + 4. Suppose 0 = -4*r, n*v + 2*r = 6*r + 44. Let o = v + 17. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8537, -10180, -12867, -16556, -21205, -26772, -33215?\nAnswer: -40492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -7. Let k(j) = j**3 - 5*j**2 + 2*j - 7. Let i be k(5). Let o = i - 4. What is the closest to o in q, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -263, -210, -125, -2?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38.424 * 11.44.\nAnswer: 439.57056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13, -3 in descending order.\nAnswer: 13, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 3*m**2 - 4*m + 5. Let w be f(4). Solve g + 5*p = 17, w + 6 = -g + 2*p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let w = 54 - 31. Let g(d) = w - 23 + 7*d**2. Give a(g(u)).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s - 28. Suppose -3*w - 2*g - s = -1, 0 = -w - 3*g - 9. What is the units digit of w - -1 - 5\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-4)\/((-12)\/3)). Let r = x + 1. Put 0, -1, r in decreasing order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32789 = 17*o - 540*o + 10823 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10225 is divided by 180?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.4 (b) 1.276 (c) 8 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 4356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 782930 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p + 55. Let i be z(-10). Suppose f = -4*f + 5. Suppose -5*c = 8 - 28. Sort c, i, f in ascending order.\nAnswer: f, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 2*b - 1. Let a be j(-2). Let g = -149 - -193. Let s = 49 - g. Solve -s*c + a = -3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0*r**3 + 4 + 0*r**2 - 3*r + 1\/6*r**4. Let n(z) = 39*z - 3. Give l(n(x)).\nAnswer: 3042*x**2 - 468*x + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-12*(-12)\/(-1536)). Let m be (2\/30)\/(-13 + f\/30). Let h be (-6)\/9*(-2)\/(-8). Put m, 1\/3, h in ascending order.\nAnswer: m, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/5193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 3 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 10*q**2 + 152 + 14*q**2.\nAnswer: -2*q**2 + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 99*v + 197. What is g(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86112*v**3 - 2*v**2 + 9*v + 1564 wrt v?\nAnswer: 516672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 46. Let h = 26 + -11. Suppose -6*m + m = h. Which is greater: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 2849 = -9*g + 6297. Is g a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/6 - 8019*o**4 + 32075*o**3\/2 - 24056*o**2\/3.\nAnswer: o**2*(o - 48112)*(o - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**5 + p**4 + p - 2. Let d(w) = 150*w**5 + 20*w**4 - 170*w - 40. Let b(s) = -d(s) + 20*o(s). Find the second derivative of b(i) wrt i.\nAnswer: -3400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -38?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295424 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from fnnnnnnnnnnnnnnnnnnf.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5682246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = 3*k + x, -5*k + 5*x + 10 = 0. Let h be k - 1 - 12\/(-4). What is the greatest common divisor of h and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6288 is divided by 2828.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -8*f**2 + 32*f + 4. Let p be o(4). Solve -5*q = -5, 4*j = j - p*q + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-22)*p*p*p*p\/(((p*p**(15\/2))\/p)\/p))\/(p**19\/p**(-26)) assuming p is positive.\nAnswer: p**(-137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 554*z + 411118 = 421644 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*((-300)\/5)\/(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l - 31. Let c be h(7). Let k be (6\/(-7))\/(2\/(-28)). What is the first derivative of -4 + s**4 - c*s**2 - 8*s**2 + k*s**2 wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 285 and -229.\nAnswer: -65265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 410.6063 nanoseconds in seconds?\nAnswer: 0.0000004106063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7877, -15739, -23601, -31463, -39325?\n\"Answer: -7862*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*u = -157*u + 2139. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.02 - 0.02. Let x = 743 + -742. Suppose -4*l - 14 = -3*n, 5*n - 9 = 3*l + 2*n. Which is the nearest to x? (a) p (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + g = 5*u + 114, -11*g + 2*u = -14*g - 49 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 - 5.8. Let y = 4.9 + p. Let q = 21 - 8. Which is the nearest to y? (a) -5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-2304)\/(-160))\/(70\/25) - (-19)\/(-14)?\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -49*y**6\/6 - 3248*y**5 - 335238*y**4 + 770240*y**3\/3 - 55112*y**2 - 437. Find d such that q(d) = 0.\nAnswer: -166, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6869866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-2) - (-15)\/10. Let u(i) = i - 2. Let h(g) = -5*g + 8. Let b(z) = t*h(z) - 4*u(z). Let a(p) = -74*p. What is b(a(r))?\nAnswer: -74*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/5*(-4)\/(-3). Let t be 10\/u + 2\/1. Let z = 5.09 - 0.09. Which is the nearest to t? (a) z (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14966 + -14963. Which is the nearest to z? (a) -1 (b) 4 (c) -1272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -456902, -456908, -456926, -456962, -457022, -457112?\n\"Answer: -k**3 + k - 456902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*g + 37964 = 0, 8707 = 4*f + g - 21672. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -54, -41, 8, 93?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 15. Let p = 6 - a. Let r = 2 + p. Put r, 5, 0.2 in descending order.\nAnswer: 5, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 5*x + 7 + 1\/2*x**2. Let d be c(0). Put d, 1, -4 in ascending order.\nAnswer: -4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 7991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**8\/3360 + g**7\/630 + g**4\/12 + 3*g. Let k(d) be the third derivative of r(d). Let k(m) = 0. What is m?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/3*-3*-3. Let h = j - -4. Solve u - 3*u = -h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -63*q**2 - 8*q**3 - 849*q**2 - 232*q**2 - 487*q**2 - 2776*q + 1856 - 237*q**2 = 0.\nAnswer: -232, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.067837 and 209.841.\nAnswer: 209.773163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**2 + 84*w - 301. Let h(c) = -3*c**2 + 42*c - 151. Let a(k) = -4*g(k) + 7*h(k). Let a(t) = 0. What is t?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 116132178.\nAnswer: 4\/58066089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 + -202.\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -72 + 4)*-1. Let v be (-1 - -3)*8\/m. Factor -1\/2 - v*f**2 + 3\/4*f.\nAnswer: -(f - 2)*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*n = -447, 5*z - 731 = -3*n + n. Let u = z - 78. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/((-6062)\/(-322) + -19). Solve 7 = 4*t + 2*s - w, -3*s + 10 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + v - 1. Let c be (-10)\/35 + 760\/14. Let r = c - 57. Calculate the lowest common multiple of 14 and u(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = -0*i. Suppose i*w - 308 = -2*w. Suppose 4*l = -w + 273. Calculate the remainder when l is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.63 * 0.612\nAnswer: -0.38556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/3 (c) 4 (d) 0.03 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -4, 5, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -862*p + 183546. What is u(213)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 14 - 2. Suppose q*z - 2*z - 180 = 0. Let a = z - 16. Solve -3*r - r + 1 = 3*b, r - a = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 - (-92)\/(-2). Let z be c\/6 + (-6)\/18. Calculate the remainder when 132\/(-8)*z\/3 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 - -114?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (6 - 4 - 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4713 + -4712.88. Let v = 2.2 - 2. Sort v, -0.1, p, 4 in ascending order.\nAnswer: -0.1, p, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 564\/647669?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p. Let t(v) = v**2 - 16474*v + 16200*v + v**2. Give b(t(z)).\nAnswer: 4*z**2 - 548*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24711207 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1151, 1153, 1157, 1163, 1171, 1181?\nAnswer: 1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**3 + q**2 + q. Let m(i) = 9*i**3 + 19*i**2 - 26*i. Let h(s) = -2*l(s) - m(s). Determine k, given that h(k) = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0822, -0.4, -5, -4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - b + 2 = 3, 17 = -d + 3*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -589*t**2 + 4 - 2*t - 3 + 0*t + 0 + 610*t**2 as g + n*t + x*t**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 6*m**2 - 4*m + 42. Let a be b(5). Let h be ((-27)\/36)\/(1\/8). Let u be (0 - 0\/(-2)) + -5. Sort u, h, a in decreasing order.\nAnswer: a, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 707, 1512, 2319, 3128?\nAnswer: 3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -398, -356, -314, -272?\n\"Answer: 42*z - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 7*f**2 + f + 12. Let j be r(-7). Let h(t) = 2*t - 11. Let n(o) = 3*o - 12. Let v(c) = j*n(c) - 6*h(c). Determine v(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/6 (b) 1 (c) -1\/8 (d) 0.0439 (e) 89\/8 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 151380 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61.07 - -0.07. Let b = 62.3 + a. Let m = b + 2. What is m rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, f: 5, r: 8, y: 1}. What is prob of picking 2 r and 1 f?\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1239768775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 11*j - 424. Suppose j = 14*k - 10*k. What are the prime factors of k?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-3))\/(4\/(-12)). Suppose -4*b = -13 - 3. Let o be 3\/4 + (-2)\/(-8). Put o, t, b in decreasing order.\nAnswer: b, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120183?\nAnswer: 3, 7, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 613*q**6 + 1030*q**4 - 18*q**3 + 25*q**2 + 3*q + 62665?\nAnswer: 73560*q**3 + 24720*q - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*sqrt(104) + -2*sqrt(234))\/((sqrt(4)\/sqrt(2)*4 - sqrt(2)) + sqrt(2) + sqrt(6)\/(sqrt(48) + sqrt(3)))*6.\nAnswer: 120*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-11 - (-7 + -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 47476*m**2 + 283447682*m + 20162864016.\nAnswer: 2*(m + 72)*(m + 11833)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**3 + 6*t + 3. Let s(o) = -8*o**3 - 3*o**2 + 3*o + 5. Let p(a) = -a**3 + a**2 + 5*a + 1. Let g(k) = -3*p(k) - s(k). What is -3*g(f) - 8*r(f)?\nAnswer: -f**3 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378060182.\nAnswer: 2, 29, 6518279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 2, 4, -1, 13, 155 in descending order.\nAnswer: 155, 13, 4, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve 182*z + 14959 = 4221 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07313376 take away -15?\nAnswer: 15.07313376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2121 = 109*a + 1202 + 601 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 81150197.4189 and -340?\nAnswer: 81150537.4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 10\/981516883?\nAnswer: 10\/981516883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*f + 4*f**2 - 2*f**2 - 2 + 27*f)*(f**2 + 0*f**2 - 4*f**2).\nAnswer: -6*f**4 + 57*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 204123499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 12:36 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from affaffffffuafufuff?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -13\/2*n**4 + 0*n + 27\/2*n**2 - 36 + 1\/3*n**3. Find the third derivative of f(s) wrt s.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/2 + (-177)\/87. Which is smaller: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10877.\nAnswer: 73, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in -0.2, 10, 6, -5\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - l)*(50*l + 47*l - 14*l + (-6 + 4 + 0)*(7*l - 3*l - 2*l)) + (2*l**2 + 3*l**2 - 3*l**2)*(2 + 0 - 1).\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 3. Let r be b(5). Solve -5*l + 12 = r*o, -5*l + 0*o - 3*o + 8 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/359 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2 + 1221640*h + 12216200 = 0.\nAnswer: -610810, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 897841.9um?\nAnswer: 897841900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*l - 12, w - l = 6*w - 9. Let b be ((-15)\/25)\/(2\/(-10)). Let o be 9\/6*2\/b. Is o > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 9*l**2 + l + 12. Let b be d(-9). Let k be 3\/(-18) - 26\/(-12). Solve 4*o - b*y - 8 = 0, 2*o - k*y - 2*y - 14 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(360))\/(sqrt(1089)*-2))\/(2*sqrt(512)*-2 + sqrt(512) + (sqrt(512) - sqrt(512)*-1*-3)).\nAnswer: -sqrt(5)\/220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*n + 123*n + 68 = -2*w, 5*n - w - 34 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33056, 33062, 33064, 33062, 33056, 33046, 33032?\nAnswer: 33014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**5\/60 - b**4\/24 - b**3\/3 - 19*b**2 - b. Let x(c) = c + 1. What is v(y) + 3*x(y)?\nAnswer: y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 38 + -64 + -19.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*o - 4*l, l = -o - 0*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -4. Which is greater: -37 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 + -222. Suppose -4*i + 0*i + 12 = -4*w, -w = 4*i - r. Solve 0*c = -2*c + 5*f + 30, -c - 15 = i*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/4 and 51\/58.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 7*t - 4*t**3 - 8 + 2*t**3 + 16 + 45*t**4 + 12*t**4 in the form u*t**3 + o*t + k*t**4 + x + n*t**2 and give k.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/11 + 74\/77. Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2830255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -10 (c) -5 (d) -1\/2 (e) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9025 or 9023?\nAnswer: 9025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**4 + 6*t**3 + t**2 + 4*t. Let j(z) = 2*z**4 - z**3 - z. Let d(s) = -a(s) - 4*j(s). Factor d(b).\nAnswer: -b**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -b, -b - 328 = -3*o - o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1600410 - 5?\nAnswer: 1600409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = 4*r, r + 3*g = 4*r + 18. Which is the smallest value? (a) 4 (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 55*u**2. Let a(d) = -27*d**2. What is 11*a(p) + 6*h(p)?\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/13 and -2 - -3 - (-189)\/(-33).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1500454.\nAnswer: 2, 17, 44131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1857.98 - -8.\nAnswer: -1849.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let s = -1.2 - h. Let n = 131\/3 + -44. Are n and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {q: 1, t: 2, i: 1, g: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -142036 + 0?\nAnswer: -142036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 12, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*q**3 + 5 - q + q + 103*q**3 wrt q.\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -2*w**5\/35 + 6*w**4\/7 - 24*w**3\/7 + 32*w**2\/7 - 96. What is b in g(b) = 0?\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -16, -27, -38, -49, -60?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pas when three letters picked without replacement from {a: 5, p: 2, s: 4}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 34*z + 12698 - 12756, -2*p - 3*z = -4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 86*w - 369. Calculate b(5).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 38 = -26. Let y = k - -26. What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19517 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 60 + 9 + 10 - j.\nAnswer: 2*j + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmj when three letters picked without replacement from jwmjmmmjmjjmjmwjwj?\nAnswer: 49\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spw when three letters picked without replacement from {p: 1, y: 1, s: 3, w: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1601903*i**2 + 1601903*i**2 + 1474*i - 206*i**4 wrt i?\nAnswer: -2472*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1.05 (b) 1 (c) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 1:00 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.867*107.\nAnswer: -413.769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1134 = -5*t + 2*d - 314, -337 = -2*t - d. Suppose 5*b - 966 + t = 0. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 4*r - 5*r + 5*r. Let z be k(3). Suppose 3 = z*s - 6. What is the remainder when 9 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2772 and 6?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-399399)\/(-4693) - ((-12)\/38)\/(-3). Solve -78*m + g = -61*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80\/35*(-1540)\/(-55). What is the highest common divisor of 616 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a - 16. Let d be q(-5). Suppose 0 = -v + 21 - d. What is the remainder when 49 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.64 - 10.74. What is the nearest to -16\/17 in -0.3, -4, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83870, 83899, 83942, 84005, 84094, 84215?\nAnswer: 84374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7))**(-15)*b**(-2\/21)\/(b\/(b**(-2)*b)) assuming b is positive.\nAnswer: b**(-134\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193304 divided by 48326.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2236111097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h, 3*l - h + 1 = -0. Suppose 3*q - 5*s - 2 = -3*s, 4*q - 5*s - 12 = 0. Let b be -2 + (-51)\/(-15) + q. Is l at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w + 0*w**3 + 12*w**3 + 3*w**3 + 6*w**4 + 3*w**2 + 9*w**2 = 0. Calculate w.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*x = 4*p + 5, -p + 4*x = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(2\/(-24)). Suppose 28 = h*v - 68. Let d = 49\/3 - v. Is d smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6405 and 525.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*f + 26*f - 166*f + (0 + 0 + f)*(-3 - 1 + 3).\nAnswer: -99*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 1. Let x be d(1). Let p = 2 + -8. Let l be ((-15)\/p)\/(1\/2). Solve 21 = l*u - x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -4f?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*t + 1117*k**2 + 2*k*t - 1995 wrt k.\nAnswer: 4*t + 2234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 93.02. Let i = -1.09306 - -1.113. Let a = t + i. What is a rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/20)\/(108\/(-7344))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-27)\/6 - -6)*(-88)\/(-6). Suppose 5*y + 34 = 4*b, -3*b + 0*y + o = -2*y. Suppose -b*k = -12*k + 252. What is the lowest common multiple of 12 and k?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000176269 to 6 decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3697 + 2182. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m - 114. Let a be h(17). What is the remainder when (6 + -4)\/(6\/387) is divided by (-324)\/(-10) + a\/(-20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138266*-0.3.\nAnswer: -41479.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 6 + -3 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -5354?\nAnswer: 5360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/408)\/((-495)\/180).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54222511 or 54222519?\nAnswer: 54222519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a**5 + 33*a**4 + 24*a**3 - 18*a**2 - 33*a - 15. Let g(u) = -u**5 - u**3 + u**2 + u - 1. Let d(k) = -3*g(k) + j(k). What is p in d(p) = 0?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/115096 and -63\/16.\nAnswer: 230192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let l be u(4). Suppose l*y - 42 = 8. Suppose -3*z + 16 = -6*m + 5*m, 3*z = -m + 8. Calculate the highest common factor of z and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4257 = -263*o + 312 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 1041?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/14, 0, -190753 in descending order.\nAnswer: 3\/14, 0, -190753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7852*z - 3149*z + 15226*z to t + l*z and give l.\nAnswer: 4225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68571245?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -5, 16, 4, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**7\/6 - 7*c**3\/6 + 18*c. What is the second derivative of r(l) wrt l?\nAnswer: -140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1 - ((1*sqrt(4)*1 - sqrt(4)) + sqrt(4) - sqrt(4)))\/(sqrt(18)*-3 + (sqrt(32)\/sqrt(2))\/sqrt(8))*-6)**2.\nAnswer: 225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:45 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*t = -125*t + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7765, -15442, -23119, -30796, -38473, -46150?\n\"Answer: -7677*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1213 - 703. Suppose -h = 5*b - 520. Solve a = 0, 0*y + 6 = b*y + a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 3, 2\/5, 2, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87 and 406?\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.81 - -0.19. Let h = 15 - k. What is the nearest to -0.1 in -0.4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 - 34*x**2 + 34*x**2 + ((4 - 2 + 1)*(887*x + 21*x**3 - 887*x) - x**3 + x**3 + x**3)*(-1 - 2 + 1).\nAnswer: -132*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.67728 and 8678900.\nAnswer: 8678887.32272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 + 24*j + 29. Let h(t) = -3*t**2 + 22*t + 28. Let k(z) = -5*h(z) + 4*x(z). Let k(f) = 0. What is f?\nAnswer: -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 4:45 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 313 + 3*n**2 - 5*n**2.\nAnswer: n**2 - 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**3 + i**2. Let j(p) = p + 25. Let x(d) = 23. Let f(a) = -3*j(a) + 4*x(a). Let q be 8*1*((-52)\/16 + 4). Let s be f(q). Give v(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*x + 2*l - 12 = 0, -2*x = -5*l + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/8 and 67\/184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250427?\nAnswer: 487, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + ((-13824)\/408)\/(-18) + (-4)\/(-34).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (320\/35 + -10)\/(2\/21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/45)\/2)\/(4\/(-10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkekpekokkohkkkkk. What is prob of sequence ep?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1583365.8 months?\nAnswer: 13194.715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28149414 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 536 and 13004700.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 19. Let w(c) = -2*c - 19. Determine 7*q(y) - 6*w(y).\nAnswer: -2*y - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 516\/946*1\/3*((-55)\/12)\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -63. Calculate the remainder when y is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*h - 3*f + 7, -2*f = -4*h - 2. Let i(k) = -k + 3. Let g be i(4). Sort g, -3, h.\nAnswer: -3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9165.179 litres in millilitres?\nAnswer: 9165179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 12*f - 6. Suppose -f*g + 5*o = -4*g - 12, -3*g - 3*o = 0. Sort -2, g, -1.\nAnswer: -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00896764453 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*m + 4*m**3 - 3*m**3 + m**2 + 137*m to d*m + z*m**2 + c + b*m**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 42154492.3 to the nearest 1000.\nAnswer: 42154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Suppose 2*a = 17*a. What is the nearest to s in a, 0.3, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 314 - 220. Let q = -287 + m. Which is smaller: q or -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*c - 9 + 26 - 17 to the form f + l*c and give l.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*z = -6*z - 8, 0 = -3*g - z + 4. Solve 4 = g*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1134360 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0 + 2\/5*h**5 - 4\/3*h**3 + 0*h**2 - 1\/3*h**4 + 2\/15*h**6 + 9*h. Solve g(x) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 18543?\nAnswer: 1\/18543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017088 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24 - -21)*(-251)\/3. Let o = z + -245. Solve -2*f - 21 = f + 4*l, 0 = -2*l - o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -545*h - 592*h = -32973 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18438 rounded to the nearest one hundred?\nAnswer: -18400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 2*i**2 + 54*i - 57. What is a(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - z**2 - 2*z + 1. Let c(d) = -d**3 - 9*d**2 - 4*d + 30. Let n be c(-8). Determine a(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4997448 and -37\/4464.\nAnswer: 9994896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2\/2 + 5*s - 16. What is l(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 1. Let a be f(-1). Let g be (-220)\/(-6) - a\/(-12). Which is smaller: g or 38?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a - 145. Let r be y(-16). Put r, -5, -3 in descending order.\nAnswer: -3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 3*u - 1. Let d be j(-2). Solve -5*f = d + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i**2 - 5*i + 1. Let m(l) = -11*l**2 + 11*l - 2. Let b(o) = 3*m(o) + 7*t(o). Let x be b(1). Suppose -1 - x = -3*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-7 - (-14 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62.5 + -62. Suppose 604*p = 619*p. Let b = 8 + -8. What is the closest to b in p, z, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 922\/15 + -188\/3. Let t = 49 - 48.7. Sort -0.07, u, t in decreasing order.\nAnswer: t, -0.07, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 771 - 805. Let x = 668 + -633.7. Let t = x + y. What is the third biggest value in -5\/6, -2\/5, t?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t + 15 = 0. Suppose -3*p = 4*w + 26 - 3, 2*p = 4*w - 2. Calculate the remainder when w\/t - 54\/(-15) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 - 458632\/(-84) - ((-124)\/(-21) + -6)?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-8)\/h)\/h**(-1)*(h**2)**(-4\/7))**(-47))**6 assuming h is positive.\nAnswer: h**(18048\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137489 - 736.\nAnswer: 136753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 329903.4 millilitres?\nAnswer: 329.9034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1080 and 83\/152928.\nAnswer: 764640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, 5, 7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 22438?\nAnswer: -471198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012222021021100 (base 3) in base 12?\nAnswer: 5a50883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 - 21*w - 20. Let r(h) = -2*h**2 + 11*h + 10. Let z(t) = 6*j(t) + 11*r(t). What is the remainder when z(-4) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 5. Suppose 2*y + 1 = -3*c + 8, -5*y - 10 = 2*c. Let b be c + (-3)\/(-6)*-2. Determine w(b).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = 0, 4 = -34*l + 39*l + 2*k. Solve -5*f - 7 = l*i + 10, -5*i - 4*f = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 + -99. Let y be 3 + (-1 - (3 + (-4 - n))). Is y\/(-2)*(-3 - 11361\/6) 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 11:11 AM and 8:56 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -22\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**2*r**3 - 52*f**2*r**2 + 2*f**2*r + 2*f*r**3 + r**2 wrt r.\nAnswer: -30*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**6\/3 - 4*r**5\/5 - 12*r**3 + r**2 + 17. Find the third derivative of h(a) wrt a.\nAnswer: -120*a**2 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-861)*-366 + -6 + 10872\/984 + 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162387 is divided by 2074.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -457*w + 913. Let g be z(2). Let u = -25566\/19 + 1346. Is u at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14182 + 28841. What is the greatest common divisor of r and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hymm when four letters picked without replacement from {c: 2, h: 2, m: 3, y: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5517675.9 take away -0.5?\nAnswer: -5517675.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/5)\/(y**(-6\/7)*y) assuming y is positive.\nAnswer: y**(2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16648 - -16645. Which is the third smallest value? (a) n (b) -5 (c) -198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15650 and 664186.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29837997*m - 29803440.\nAnswer: -29837997","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*t + 36 = -4*y + 82*t - 4, 0 = -2*y - 4*t - 36 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 24 + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -fc (base 16) to base 11.\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -123. Suppose 13 = -2*n + 1. Let y = n - v. Solve 3*q - 3*u - 4 = -5*u, 4*q - y*u = -23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5384*u - 2900 = 5334*u for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 7. Let k(x) = 2. Let j(z) = 2*g(z) - 7*k(z). Let d(t) be the third derivative of -t**4\/4 - 36*t**2. What is j(d(r))?\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -285 - (-3 + 1) - (-5 - -6). Find the common denominator of -127\/24 and q\/12*3\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203.09 + -203. Let t = -0.8 - -0.9. Which is the nearest to 0? (a) -1\/5 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 10*c = -7*c + 135, 292 = 5*j - c. Solve 96*i - j*i = 312 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*((p*p\/(p**16\/p)*p)\/p)\/p)\/p)\/p)\/p)\/p)\/p*(p*p*p**(-13))\/p*p*p**16*p**0\/p assuming p is positive.\nAnswer: p**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-18)*(-148 - -1). Let p = 35 - y. Is 21 a factor of (-888)\/(-21) + p\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 839 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 - 14. Let t be 1*2*k\/(-10). Calculate the remainder when -4*4\/6*t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-184)\/(-40) + (-6)\/10. Find a such that -3\/2*a**3 + 0 - 2*a - 1\/4*a**i - 3*a**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5943*a - 196123. What is z(33)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477688.\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 6*a**2 + 8*a + 3. Let k be 3 - (7 - 3) - (-8)\/(-2). Give x(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-656)\/(-20) - 0 - (-4)\/20 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -449548966 divided by -2\nAnswer: 224774483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66.6 + -70.6. Let g = 0.3 - 0.2. What is the closest to 0.1 in -2, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-80)\/68 + 1)\/((-12)\/8). Suppose 0 = 15*k + 24 + 36. Is p smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 918\/81463?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 14*i - 6897*i in the form v + j*i and give j.\nAnswer: -6883","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from afffffffffff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 141, 146, 151, 156?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 65*a**2*s*y + 141021*a**2*s + 316*a**2*y + 2598*a*y - 4*y wrt s.\nAnswer: 65*a**2*y + 141021*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 6. Let h = -3.3 - o. Put h, -3, -5 in descending order.\nAnswer: h, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -1774389?\nAnswer: -1774389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 8 - (3 - (-1 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-5 + -4 + 0 + 3 - 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*t = 98*t + 12, -4*t + 24 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126 - 85. Let c = -15.1045 + -25.89501. Let v = c + j. Round v to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 13*w + 2. Give x(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 - 2*x**3\/3 + x**2 - x - 4. Determine a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7406958.\nAnswer: 2, 3, 13, 94961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -761, -1516, -2369, -3368, -4561, -5996?\n\"Answer: -8*d**3 - d**2 - 696*d - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -247 - 53?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3168 and 27248544.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 13. Differentiate -s*d - 1 + 0 + d + 2 wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -2 (c) 162 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 674043389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23398117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 8. Let g = -8 - -11. What is the nearest to 0 in 0.7, q, g?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1470734\/15 and 98049 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/27 - 6\/9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 537 = 3*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -9131, 3\/4, 0.07, -2\/5 in decreasing order.\nAnswer: 9, 3\/4, 0.07, -2\/5, -9131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, -10.1, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*q + 26, 0 = 3*q - 0*q + 12. Let a = -19 + 21. Suppose 3*s = -n*p + 47, 5*p - 109 = -a*s + 3*s. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1755 and 45?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4005 + -2?\nAnswer: 4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5 - 20*d**4 - 24*d**3.\nAnswer: 4*d**3*(d - 6)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12 = 2*a. Suppose 4*w - 2*w = -3*h + 5, 3*h = a*w + 35. What is the smallest common multiple of ((-4)\/(-1) - -3)\/1 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939849760.\nAnswer: 2, 5, 17, 345533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2333 + 6600. Let x = p - 2430. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*t**6 + 3*t**3 - 14*t**2 - 2 wrt t?\nAnswer: 9720*t**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) 1\/4 (c) 0.3 (d) -1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 0.4, -3, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w + 8*c + 104 = -26*w, 3*w = -5*c - 65 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1062 - 1061. Which is the nearest to 450? (a) 2\/9 (b) -4\/5 (c) 5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66 - -2) + (-95 - -280 - 176).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 20*v**2 - 50*v + 25. What is the smallest common multiple of g(17) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1 + 2 - 2*f + 0*f. Let v(s) = -s. Suppose 8*g - 4*g + 11 = -h, -5*h - 3*g + 13 = 0. Let o(k) = h*v(k) - 2*c(k). Differentiate o(d) wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*c = 345*c + 77. Solve c*h - 3*h = 13*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 11:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 293*b - 4968. What is x(17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*((z**(-3\/10)\/z)\/z)\/z)\/((z\/(z**7*z))\/z))\/((z\/(z*(z\/z**1)\/z))\/z)**26 assuming z is positive.\nAnswer: z**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1288.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*c + 22, -5*p + 2*c = -1 + 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 6*p**2 - 13*p + 9. What are the prime factors of i(8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 - -1.54. Let r = 1.55 - k. Let o be (-1)\/(-6) - 65\/210. Put r, -0.1, o, 2\/17 in increasing order.\nAnswer: o, -0.1, r, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 1062. Calculate the remainder when n is divided by (2 + -1 - 0) + 120*46\/345.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-140)\/735*112\/992?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*x = -12, 4*g - 4*x = -11 - 5. Let k(v) be the first derivative of 4 + 1\/2*v**2 + 1\/3*v**3 + 0*v + 1\/4*v**4. What is k(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 165\/(-2)*((-5)\/(-1))\/100 and 61\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 824*i - 840*i = -48. Let f be i + -3 - 0 - 2\/66. What is the closest to 0 in -2\/3, f, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w - 9 = -3*v, -w = 0. Suppose 0*k = 4*k + t - 24, 2*k = -v*t + 22. Solve -2*r + 9 = -k*a, 5*a - 4*r = -r - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/6 - 310*h**2\/3 + 1637*h\/2 - 1530 = 0 for h.\nAnswer: 3, 5, 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 9*w**3 + 7*w**2 - w - 7. Determine a(2).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(407\/(-44)))\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -32*a**3 - 10*a**2 + 5*a + 5. Let o(b) = -16*b**3 - 5*b**2 + 2*b + 2. Let f(n) = -5*o(n) + 2*r(n). What is the third derivative of f(q) wrt q?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 4*q - 37 = 0, q = -3*g + 2*q - 25 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114101 - 13343?\nAnswer: -131444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 268253 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55768b (base 12) to base 8.\nAnswer: -5142013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6414396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 - (-192)\/(11 - -1). Let h = 66 + -332\/5. Sort w, h, 1.\nAnswer: h, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 8 = -4*l - 13*z, -2*z = l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 50 = -4*a + 20, 80 = 4*a + 2*u. Calculate the remainder when 54 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 13*u**2\/2 + 26*u + 14. Differentiate q(p) wrt p.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - 3. Let v(q) = -10 - 12*q + 10*q + 5*q - 6*q. What is the units digit of v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2712 and 164?\nAnswer: 111192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 29587\/11, 0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 141 + -2922.6697\nAnswer: -2781.6697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19531171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5929396 divided by -1482349\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 28*f = -23*f - 25, -4*f - 1 = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - (45 + -99) - (-1 + 4 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 - 450*x**4 - 3456*x**3 - 6816*x**2 = 0 for x.\nAnswer: -142, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2073806 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17207\/8 - -2158. What is the common denominator of v and (240\/(-36))\/(86\/(-12))?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -3*l**5\/5 + 33*l**4\/4 + 18*l**3 - 108*l**2 + 1635. Suppose s(v) = 0. What is v?\nAnswer: -3, 0, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 8:51 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -9*o + 1. Suppose -3 = 4*s + 5. Let n(g) = -2*g**3 - 5*g**2 - 3*g - 4. What is the remainder when n(-4) is divided by j(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32850537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 31. Let n(l) = -5*l + 0*l - l + 5*l + 16. Let k(m) = -11*n(m) - 6*v(m). Is k(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -7*c - 5 - 3, -c - 16 = 4*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 0*d + d - 119 = 0, 5*d - 19 = -t. Calculate the remainder when 116 is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1023 and 144429.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 24*h - 5. Let u be d(5). Let a = u + -341\/3. Determine c, given that -2\/3*c - 2\/3*c**5 + a*c**3 + 0*c**4 + 0 + 0*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(-3 - 3 + 3) - 7 + 1 + 1)*(b - 5*b + 0*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 5:27 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4)*o)**33*(o**7\/o)\/o**(1\/3) assuming o is positive.\nAnswer: o**(959\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -53*b**3 + 20*b**2 + 21*b - 6. Let h(w) = 52*w**3 - 17*w**2 - 17*w + 5. What is -6*h(c) - 5*o(c)?\nAnswer: -47*c**3 + 2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 5*w + 80 = 0. Suppose -4*x + w = -20. What is the remainder when 49 is divided by x + -2*(-6 + 4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -n + 2. Let q(o) = o**3 + 4*o**2 - 2*o. Give q(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2363 + 3576. Suppose 9*v + 947 = -a. Let g be 4\/(-18) - (v\/(-27))\/(-4). Solve -z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.093 + 655.\nAnswer: 654.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8405703 or -25217111\/3?\nAnswer: -8405703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 150?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*h + 30, -4*h + 3*s + 11 + 13 = 0. What is the third derivative of 6*i**6 - 2*i**h - i**6 + 3*i**2 - 2*i**2 wrt i?\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 927*g**2 - g - g.\nAnswer: -927*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 20*w**2 - 132*w - 1212. What are the prime factors of q(-56)?\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -483.3.\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 + 5*q**3 - 2*q**3 - 2*q**2 - q**2 + 73 + q**4 as r + j*q**4 + g*q**3 + d*q + f*q**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 4*r = -11*r - 12*r. Which is the third biggest value? (a) -4 (b) -5 (c) r (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-10))\/(2\/5). Let x be 83\/k + (-2)\/(-4). Find the common denominator of (x\/8)\/(7\/(-42)) and -53\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1377 + 1379. Solve u + 0*u - 3*r = 7, -5 = -w*u + 3*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1)*(-2 + j - 1 + 4)*(662*j**3 - 818 + 818).\nAnswer: 1986*j**4 + 1986*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 23*s - 36. Suppose 2*r - s*z = 16, -5*r - 5*z = -4*r + 22. Solve 2*j = r + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/141? (a) 0.3 (b) 2\/135 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**3 + x**2 - 39*x + 7. Does 7 divide p(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -380*k - 104 - 898 - 518 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 2 + x + 0 + (7*x - 9 + 9)*(-4 - 1 + 3) in the form i + o*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -45. Suppose -2*u - 4 = -4*r + k, -3*u = -2*r + 6. Which is smaller: -18\/23 or u?\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32.34 - 32.24. Sort 0, -2\/203, p, -0.5 in decreasing order.\nAnswer: p, 0, -2\/203, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1575042204?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 15*r**6\/7 + 123*r**5\/5 + 585*r**4\/14 + 107*r**3\/7 - 9*r**2 - 48*r\/7 - 4277. Let f(b) = 0. What is b?\nAnswer: -8, -1, -1\/2, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - z + 100 = 2*y, 0 = -2*y + 2*z + 64. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2248*b*j*m + 6*b*j - 32*b + j*m + 2*j - 81757 with respect to b.\nAnswer: 2248*j*m + 6*j - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - w = 3*w + 67, m - w = 14. Let q be 2*21\/4 - 0. Let i = m - q. Which is the biggest value? (a) -2\/15 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 7*c + 9. Let j be m(2). Solve -2*z**4 - 4*z**j + 3*z**3 + 120*z - 50 + 25*z**3 - 92*z**2 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -726*b*j + 59947211*b - 48983*j**2 + 2 wrt j?\nAnswer: -726*b - 97966*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7 - (-576)\/(-112).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 592 = 622. Put x, -201, 1 in descending order.\nAnswer: 1, x, -201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3800733363 to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 172373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3074879, 3074887, 3074895?\n\"Answer: 8*f + 3074871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2607 and 141963?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 7.6. Let g = -2.6 + b. Sort g, -0.2, 3\/7 in increasing order.\nAnswer: g, -0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 8*g. Suppose -3*w + 4*w - 5 = g. Suppose -5*n + 0*n + 3*u = -269, -w*n + 271 = -2*u. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 23) + 0 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 321 + -56. What are the prime factors of v?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-5)\/(-2) - 1). Which is smaller: y or 1.04?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1266, -31, -52 in decreasing order.\nAnswer: 1266, -31, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -127*s - 883. Let c be q(-7). Solve c = 2*a + 3*x, -4*a + 12 = 3*x - 0*x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - 58 - (-655)\/(-60)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 81 = -5*m, 0 = 5*m - 3*p + 5*p - 83. Let z be m\/1 - 0 - -1. Let g = -28 + 52. Calculate the highest common divisor of g and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12 - 2729*x**2 + 2741*x**2 - 12. Let k(u) = -6*u**2. What is k(d(l))?\nAnswer: -864*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-1 + ((-195)\/(-10) - 18)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49119478.\nAnswer: 2, 1993, 12323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26309 is divided by 13141?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -397*z**4 + 505 wrt z?\nAnswer: -1588*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 3*a - 6*a. Suppose 11*n + 2326 = 324. Let y = n + 198. Calculate the remainder when a is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104067037 is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14053 divided by 62.\nAnswer: 14053\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 + -30 + 77 + 2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 7. Suppose 2*i = 10 - 2. Let d be p(i). Suppose d*a + 573 = 6*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, z: 3}. Give prob of picking 1 z and 2 d.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -603\/65 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*b**2 - 18*b**2 - 1 + 33*b**2)*(3*b**3 + 2*b**3 - 4*b**3) - 4*b**5 + 3*b**5 - b**5.\nAnswer: -5*b**5 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5 = -5*w, w + 7 = -2*u. Suppose 2 = 13*n - 11*n. What is the nearest to u in -5, -2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-591)\/(-54) + -11)*(20 - 22)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 1:30 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2462.8 + 2461. Let c = 3.46 + 0.34. Let g = c + h. Is 7 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 6970572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1\/6 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 - 375*p + 749\/2.\nAnswer: (p - 749)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i + 63 - 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1840 + -1209. What are the prime factors of h?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -91 + 729\/8. Let b = -13 - -15. Let o be (-7)\/3 - (-2)\/(-3). Sort b, o, p in ascending order.\nAnswer: o, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3867828 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199728?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/17 + 105602*j\/17 = 0. What is j?\nAnswer: 0, 52801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31119\/4 - -15559\/2. Let w = -12 - -20. Suppose 2*h = 4*r + 2, 5*r - 4*h = -2 - w. Which is the closest to s? (a) r (b) -1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, r: 1, q: 3, l: 4}. Give prob of sequence qr.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1083464424 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1996282 + 8130409 = 79*b - 19197223. What is b rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3686 - -14833\/4. Find the common denominator of -67\/24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 29*f - 107. Let l(d) = -2*d**2 - 27*d + 107. Let j(s) = -6*a(s) - 5*l(s). Find the first derivative of j(v) wrt v.\nAnswer: 8*v - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 721386250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(6\/354*-2). Let z = x - -612. Which is greater: z or -0.04?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -68913, -138611, -208309?\n\"Answer: -69698*s + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1544 + 1547.754. Let p = h - -0.246. Which is the closest to 0.1? (a) -11 (b) 1\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -189, -427, -761, -1191, -1717, -2339?\nAnswer: -3057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 32 + 6 = -5*u, 0 = -4*o + 16. Let i be u\/2 - (2 - 4). Solve 4*d + i*q + 8 = q, 0 = d - 3*q - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5247083*d**2 + 18*d**3 - 5247083*d**2 - 7*d**3 - 8*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -2741?\nAnswer: -2760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2136?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.03, 0, -18390, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8353 is divided by 437.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:05 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12630.999992187 + 12631. What is s rounded to 7 dps?\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217257 is divided by 2597?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l + 2. Let s be 64\/224 - 51\/7. What is k(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 46, 97, 166, 253?\n\"Answer: 9*w**2 + 6*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -1\/31, -1\/3, 1\/4, 5\/14, -3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2627, 2640, 2669, 2720, 2799, 2912, 3065, 3264?\n\"Answer: o**3 + 2*o**2 + 2624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -1, 2, 0.5, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -102321 (base 4) in base 14?\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155681, -311381, -467097, -622829, -778577, -934341?\nAnswer: -1090121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-260))\/((-103)\/2060).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 - -102 - (-2 - -7).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12313 divided by 154?\nAnswer: -1759\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -330 - 29645\/3*d - 385\/3*d**2 - 5\/9*d**3. Determine z, given that i(z) = 0.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1)*-1)\/(636\/(-10812))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 - 4*r + 1. Let w be l(3). Let x be w\/(-153) + 47\/9. Suppose -b = x*d + b - 27, -d = 5*b - 10. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94*p**3*y + p**3 + 20*p**2 + 7425*y + 1 wrt p.\nAnswer: 282*p**2*y + 3*p**2 + 40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 784766.\nAnswer: 2, 392383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*u**2 + 8*k**3*u - 3*k**2 + 13*k*u**2 wrt k?\nAnswer: 6*u**2 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, l: 3, a: 4, j: 2, w: 3}. Give prob of sequence wlwm.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -55142000 to the nearest 100000.\nAnswer: -55100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 4:06 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101692352?\nAnswer: 2, 757, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*b**5 + 26*b**5 + 137*b - 4*b wrt b.\nAnswer: -820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*y + 3*y**3 + 19*y**2 + 66*y in the form g*y**3 + c*y + t*y**2 + n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1824488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2978733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 3*b**2 + 4*b - 11. Let g(i) = -i**2 - 1. Let w(v) = -5*g(v) + h(v). Let q be w(6). Let p = q + 217. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1111.269508 and 0.2619?\nAnswer: 1111.531408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49632466800 rounded to the nearest one million?\nAnswer: -49632000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 - 20. Let c be 12\/(-60) + 92\/d. Solve 5*l - q + c = 2*q, -5*q - 16 = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313 (base 4) to base 5.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (134 - 132) + (-2 - (13 + -2)) - -23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-2)*6204\/(-11374).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**3 + 104*r**2 - 132*r.\nAnswer: -18*r + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010969999 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 - (2 - 4 - -2). Suppose -5*a = -7*a + m. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 2*k + 14. Let f be (-4)\/6 + 45\/27. Let p(a) = -a + 3. Let d(h) = f*r(h) - 6*p(h). Suppose 7 = -b + 1. Calculate d(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1627*b**2 + 1415*b**2 - 4402*b**2 + 1384*b**2.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 30 + 20414*p**2 - 3*p + 2662*p**2 + 29*p - 2*p. Let b be s(13). Round b to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b7c67 (base 14) to base 10.\nAnswer: 3671171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 20*g**2 + 1628*g + 648 = 0.\nAnswer: -81, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55208\/309 + -179)*7\/(4011\/(-18)).\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -222\/752257 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247*89.\nAnswer: 21983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 23*y**2 - 20 + 21*y**2)*(3*y**2 - 5*y**2 + y**2 + (0*y + 0*y + 2*y)*(-2*y + 0 + 0)) in the form r*y**2 + c*y**4 + t*y + s + x*y**3 and give r.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**2 - 2*q**2 + 3*q**2. Let w(z) = -172*z + 80*z + 21*z + 75*z. Give w(o(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0 - 7*s**2 + 0*s**4 - 1\/2*s**3 + 0*s - 1\/360*s**6 - 1\/120*s**5. Let o(t) be the first derivative of f(t). Solve o(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - -0.2. Let f = -4 - -7. Suppose f*h - 6 = -2*h + g, -5*h = 5*g. What is the second biggest value in 3, h, j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1. Let n(d) = -d**2 + 6. Suppose 5*s - h - 28 = 0, -2*s - 3*s + 2*h = -26. Give s*x(l) + n(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -79 to zero dps.\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -928*o**2 - 5*o - 49. Let d be k(-6). Let q be (6\/8 - 0) + 2005403\/(-60). Let x = d - q. What is the common denominator of x and 37\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-10))\/((-7)\/1310134) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 0 - (sqrt(28)*1 - sqrt(7)))*6.\nAnswer: 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.11 + 6.239. Let h = l + -0.129. Which is greater: -0.12 or h?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268*h**2 - 1543*h**2 + 12 - 14.\nAnswer: -275*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*a - 6 = 0, -2*w + a + 4 = -14. Let r = w - 4. Suppose -2 = s + 5*c, -3 + 7 = r*s + 5*c. Solve -2*m = s*q, -19 = m + 2*m - 5*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 94831?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2751.58 * -0.3.\nAnswer: -825.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -27*r**3 + 2*r**2 - 3*r - 2. Let z be s(-2). Let t = 11 - 8. Suppose x = -t*x + z. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -47. Suppose 5*l = 9*l - 852. Let f = l - o. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -377865 or -377861?\nAnswer: -377865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4265739*r**3 - 2*r**2 - 32674*r + 16 wrt r.\nAnswer: 25594434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2871 and 396.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-r + 7*r - r)*(-33*r + 33*r + 4 - r**2) + 4*r**3 - r**3 - r**3 + r**3 + r**3 - r**3 + (-r - 2*r + 2*r)*(0 + 0 - 2*r**2) + 0 + r**3 + 0.\nAnswer: 11*r**3 - 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2908455 + 2908507.717446. Let q = -2.282586 - r. Let v = -55 - q. What is v rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*o**2 + 0 - 26*o**2 + 0.\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) 9 (c) -119 (d) 0.2 (e) -284\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/4 + 3*b**4\/2 + 17*b**3\/2 + 14*b**2 + 39*b\/4 + 5\/2 = 0. What is b?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208.8 - 193. Let v = a - 15.7999956. What is v rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 0*y + 104. Suppose 5*p + 2*k = 126, 2*k + 53 = -3*p + 127. Suppose 0*h = -2*h + p. Calculate the greatest common divisor of y and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54993 + -27435. Suppose -5*q = -4*z + 51626 - 17180, 0 = 4*q - 2*z + o. What is q rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 72*g - 6738. Determine d(93).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/2268 + 495\/((-2706)\/82) + 814\/54.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 63 = -2*a. Suppose w = a + 12. Calculate the remainder when w is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6314, 12313, 18312, 24311, 30310?\n\"Answer: 5999*c + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964103510.\nAnswer: 2, 5, 17, 17435903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-18) + -2 + (-16)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/22 and -3 + 0 + 417\/18?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -247 + 467. Let p be (-476174)\/v*(-4)\/(-1186). Let u = 1\/13046 - p. What is the common denominator of -31\/4 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 - 10149968 - 10149962 + 3*q**2 + 20299930.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -347, -2504, -8197, -19142, -37055, -63652, -100649?\nAnswer: -149762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3355 or 0?\nAnswer: 1\/3355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - (sqrt(162) + 3 + -2 + sqrt(162) + sqrt(162)))**2.\nAnswer: 36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 32*l + 64. Give w(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 8202.\nAnswer: -2, 4, 8202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 8) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11776643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - (4 - 3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -20. Let a = c + -7. Let p be (-22)\/(-4) - a\/4. What is the highest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 6*l**2 - 5*l. Let k be (-3)\/(-6) + (-18)\/(-4). Let m be o(k). Which is the closest to -1\/2? (a) 1 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16, -6, 24, 74, 144, 234, 344?\n\"Answer: 10*c**2 - 20*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3636 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let d(l) = -l**3 + 2*l**2 + 3*l - 3. Let y be d(2). Let s(c) = -5*c + 0*c - y*c. Determine s(h(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0525? (a) -1 (b) -22\/5 (c) 3\/5 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2605833 - 12*m**2 + 11*m**2 - 783*m + 2605836.\nAnswer: -m**2 - 783*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 482769 and 551736.\nAnswer: 3862152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 589 and -0.23.\nAnswer: -135.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125835?\nAnswer: 3, 5, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 82 = 4*f, 12007*h = 12009*h - 5*f - 75. Find c, given that -4 - 1\/4*c**3 - 2*c**2 - h*c = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -338764 + -167727. Let x = f + 506491.1800045. Let b = x + -0.18. What is b rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 8*s**2 + 0 as b + q*s + c*s**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/30 and -53\/2389959?\nAnswer: 23899590","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 7*k**2 + 2. Let a be j(7). Suppose 4*g - 9 = 3. Suppose g*z - 7 = a*z. Solve -4*r - 6 = -o, -z*o + 2*o - 2 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. What is the remainder when 17 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -4, 0.2, 824, -2\/17, 5 in ascending order.\nAnswer: -4, -2\/17, 0.2, 1.9, 5, 824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13\/3 + 4. Are t and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62293 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 11*a**2 + 10*a + 4. Let m be i(10). Suppose m*q = -q + 15. Let l(s) = 4 - q + s - 5. Calculate l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 3*m + 0*m)*(-3*m - 4*m + 5*m) - 7*m**2 - 14*m + 14*m + 15*m**2 - 41*m**2 - 14*m**2 to w + n*m + f*m**2 and give f.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17c (base 13) to base 12.\nAnswer: -1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72704.76 nanometers to meters.\nAnswer: 0.00007270476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.9 - 6. Let g = 99507.9000064 - 99510. Let v = g - c. What is v rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/80 + (-46)\/(-80)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -9*t + 10\/3*t**3 + 0*t**2 + 0. Let n(v) = -v**2. What is n(g(m))?\nAnswer: -400*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:13 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {q: 1, r: 3, y: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, g: 3}. What is prob of sequence gnn?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 12, 5*p - 4*a = -0*p + 337. Suppose 2*l - 1859 = -k, -63*l - k = -p*l + 1865. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4 - w**3\/6 + w**2\/2 + 3*w. What is the tens digit of f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -792 - -1662. Suppose 4*x - j = x. What is the common denominator of 25\/8 and x\/30 + -3 + 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1755702336 and 3264.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from cnjpupcuoupcuu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nononoonouoouo. What is prob of sequence nn?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 4*m = -20, 3*p + 190 = -3*m + 199 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 8*z**2 + 2*z + 31. Let j be c(7). Let r = j - -23. Calculate the remainder when r is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -47.1. Which is the biggest value? (a) w (b) -38 (c) -3\/4 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u - 664. Suppose -5*l - 3*q = -u, 0 = -4*l + 3*l - q + 32. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*w - 41*w = 35*w - 1098 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3 = 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-75879)\/(-27) - (-1)\/(-3). Suppose 3*m - 10 = 2, 2*f = 2*m + y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 + 4. Let d be w(0). Let i(m) be the third derivative of 0*m - 5\/6*m**3 + 0 + 3*m**2 - 5\/24*m**d + 1\/60*m**5. Calculate i(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6404 - -3?\nAnswer: 6407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m. Let r(q) = 14*q. Give r(w(h)).\nAnswer: 168*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -9082*k + 3. Let n be t(2). Let w = 91183\/5 + n. Let c = w + -421\/10. Find the common denominator of c and -25\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*i - 20*i**2 - i**3 - 74*i - 7*i**2 + 31*i to the form g*i**2 + c*i**3 + d*i + z and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 88 = -5*z, 0 = 3*z - 4*z - o - 23. Is z\/(-2 - (-2)\/2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 6*o - 2. Let n be l(-6). Let s be (-32)\/(-12) + n\/3. Is 41 - 3*s\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p. Suppose 4*f - 1 = 3*f. What is the remainder when (-22)\/(-2*(p + f)) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -96*c + 9663. Determine u(118).\nAnswer: -1665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 3171841*y**3 - y**2 + 3171917*y**3 + 3*y**2 - 6344611*y**3.\nAnswer: -853*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:57 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 5.1 (c) -0.6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.23 + -0.23. Let h = -1.2 - -0.2. Which is the nearest to z? (a) -2\/13 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61288556453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3934*y**3 + 56*y + 25. Let j(u) = -2623*u**3 + 40*u + 17. Determine -5*d(p) + 7*j(p).\nAnswer: 1309*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -c33 (base 14) to base 3\nAnswer: -10021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47449 (base 10) in base 8?\nAnswer: 134531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2*t + 1. Let a be i(-2). Let r(n) = n. Let b(c) = -7*c**5 - 23*c**4 - 27*c**3 - 13*c**2 + c. Let l(d) = a*b(d) - 3*r(d). Factor l(z).\nAnswer: -z*(z + 1)**3*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*(-1)\/(-2)*1. Suppose 0 = 5*a - 2*q + 48 + 68, 2*a = 4*q - 56. Let j = x - a. What is the greatest common divisor of 54 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 46 = -2*c, -3*c = -a + 3*a + 58. Let z be c\/15*(-80)\/(-12). Is -8 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/6 and -61\/246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*m - 279 - 490 = r, 2*m = 7217*r - 7219*r + 10 + 20 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*g**4 - 883*g**2 + g + 1287381?\nAnswer: 60*g**3 - 1766*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11624 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 5. Let l be a(-8). Solve 2*h = -4*m - 6, -2*m + m + l = 3*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127654 plus -0.1?\nAnswer: -127654.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 918.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -42\/25 (b) 0.3 (c) 3 (d) -10 (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1306 in 5, -9, -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f2 + -9?\nAnswer: e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7)*o)\/(o**(-13)\/o)*(o**(-4))**(-3) assuming o is positive.\nAnswer: o**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 575400?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*x - 9184 = 1952*x - 879*x for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70780585.\nAnswer: 5, 1307, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 5891 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878106 to the power of 1\/2, to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 12210 = -9*k. Let f = -61127\/10 + k. Calculate the common denominator of -37\/10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 79*i + 6026*i**2 - 3028*i**2 - 2999*i**2.\nAnswer: -i*(i - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 132\/165 + (9\/(-5) - -2). Let t = 7 + -4. What is the closest to -0.1 in f, 4, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54080, 54429, 54778, 55127, 55476?\n\"Answer: 349*y + 53731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (56 - 62 - (-3 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3 + 2*t - 3 + 24*t**2 - 25*t**2 + 3. Calculate b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13771 is divided by 1495.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**3 - 5*m**2 - 6*m - 7. Let a(n) = -4*n**2 - 3*n**3 - 8*n + 8*n**3 + n - 6 + 2*n. Calculate 5*a(q) - 4*h(q).\nAnswer: q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -338*n**3 - 5*n**2 + 6*n - 2. Let j be x(1). Let i = 334 + j. Put -17, i, -4 in descending order.\nAnswer: -4, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 7*w + 21. Let s(g) = -3*g - 10. Let i(v) = 9*s(v) + 4*z(v). Let f be i(6). Solve 5*a - 5 = 0, f = 5*c - 4*a - 0*a + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.02. Let s = -0.38 - l. Let j = 6.5783 + -1.5783. Is j not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148232 - 248232. Round q to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620350236 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y - 9. What is n(8)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-4)\/(-18) - 25261\/2*104\/(-468)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.84 + 0.16. Which is the closest to 2? (a) t (b) -1\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1452, -5712, -12790, -22686, -35400, -50932, -69282?\nAnswer: -90450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, h: 8, y: 1}. Give prob of picking 1 y and 1 q.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*x + 1063*x + 4553 = -13612 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - y = 3666, c - 4*c - 3*y + 11016 = 0. Let u be c\/33 - 2\/11. Let s = u - 51. What is the greatest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33149, -2, 2\/3 in ascending order.\nAnswer: -33149, -2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 28 = 2*c, 5*c = -4*q + 10*c + 45. Solve 28 = q*x - 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 15. Let n be 1\/((-2)\/(-9) - 1886\/6624). Which is bigger: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 110 = 2*q + 62. What is the remainder when 250 is divided by q?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let l(f) = -12*f**3 + f - 1. Let o be l(1). Let g be ((-8)\/o)\/((-8)\/(-3)). What is the third smallest value in 2\/9, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -486*q**2. Let o(i) = -14*i**2 - 22*i + 66. Let j(u) = -u**2 - 2*u + 6. Let l(p) = 11*j(p) - o(p). Determine x(l(k)).\nAnswer: -4374*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1980505 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:41 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 4\/18 - (-541628)\/774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + c)*(16*c**2 - 17*c**2 - 14*c**2)*(0 + 0 - 2*c).\nAnswer: 30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46084.\nAnswer: 2, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 110128.8 months in centuries?\nAnswer: 91.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-42)\/15)\/(-14))\/((-29)\/(-517650)*30)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 2*s**3\/3 - 6*s**2 + 18*s - 6. Factor u(l).\nAnswer: 2*(l - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17324729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvpvgpvpvgppvppvgfvv. What is prob of sequence vgf?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i = 28*i - 112. Let c(b) = -i + 2*b**2 - 4*b + 7 + 6. Let t(f) = 1 - 2*f**2 + 3*f + 2*f + 1. Calculate 4*c(p) + 3*t(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 18.3. What is the second biggest value in 3, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13506446.\nAnswer: 2, 1201, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r - 3991947 + 671537 = 0. Round r to the nearest 1000.\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -47. Let c be ((-104)\/3)\/(12\/z). What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2019.6 rounded to the nearest 10?\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.631 and 304?\nAnswer: 304.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-47)\/(-3) - (-20)\/(-30). Suppose -2*z + o = 11. Suppose 0 = -4*a - 2*p + 16, a + 9 = -5*p + 22. Solve -z*k - k = -a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-9) - (0 - (-28060)\/(-15)). Which is smaller: t or 1870?\nAnswer: 1870","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/(-168))\/((-1)\/(-2))*5\/25\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2379*c - 2381*c + 0.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + 0.6031.\nAnswer: 1.3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - z - 1. Let r(c) = 3*c**2 + c + 2. Let m(j) = 5*d(j) + 3*r(j). Let g(t) = -3*t - 46. Let f be g(-16). Suppose 0*q + q - f = 0. Give m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-7 - (-11 - -5)) - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -72 (b) -1.6 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*c + 491*c = 253*c - 1225 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1933.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(162) + (sqrt(162) + -2)*5 + sqrt(162) - 5*(-2 + sqrt(128) + sqrt(128))*5)*-3.\nAnswer: -120 + 1011*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 + 0 + 5 + -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*j - 3. Let t = -45 - -103. Suppose -j*d = 3*i - 38, i + 3*i = d + t. Calculate the remainder when 39 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:21 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -11*a - 31. Let y be o(-7). Let l be y\/((-19)\/5 + 4). Suppose 72 = m - 4*v, -5*v - l = -0*m - 3*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 805 = 4*y, 0 = y + 4*y + 4*r - 983. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*q**5 - 5*q**2 - q**6 - q**6 - 18*q**5 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 28 - -27) + -19 + (-2 - (0 + 4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 60 = -5*t - 0*t, 10 = 2*o. What is the third derivative of -t*j**4 + 7*j**4 + 32*j**5 - 12*j**2 + 28*j**5 + 9*j**4 - 15*j**2 + 3 wrt j?\nAnswer: 3600*j**2 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00294953566 to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*q + 8268 = 0, 5*x = -3*q - 7194 + 27843. Let v = 173563\/42 - x. Let r = 9\/7 - v. Which is the biggest value? (a) r (b) 4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277584, 555181, 832778, 1110375, 1387972?\nAnswer: 1665569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 224.746 and -0.935.\nAnswer: -210.13751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28 - (-1 - 3)\/(-4). Suppose -c - 36 + 45 = 0. Calculate the highest common divisor of f and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -126.834 and -8.\nAnswer: -134.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87.9634 - 88. Let u = q + 0.0666. Which is the nearest to -1? (a) -1\/4 (b) -2 (c) u (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427376429?\nAnswer: 427376429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -11*y**2. Let g(h) = 7*h**2. Calculate p(g(c)).\nAnswer: -539*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 16. Let n be q(-7). Let a be (-4)\/(-22) + 2\/(-11). Suppose a = -0*j - j + 45. Calculate the greatest common factor of j and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 57 - -1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-210)*7*(352\/3848)\/(-11).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -364 - -272. Which is smaller: -93 or s?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 453 and 3.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 4139*m - 4139*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/81 and 2\/25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o + 5*a = 99, 3*o + 3*a - 144 = 0. Suppose -3*i + 4*f - 18 = -63, 0 = 4*i - f - o. What is the least common multiple of i and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 7:32 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -1, -0.3, 2\/49, -0.27, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -13*q**3 - 23*q**2 - 85*q - 4. What is o(-5)?\nAnswer: 1471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 9955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7 + s - 6*s + s**2 - 1. Let d be f(8). Let a = -24 - -44. Calculate the greatest common factor of d and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177953 (base 10) to base 3.\nAnswer: 100001002212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -1\/2*t**2 + 1\/2*t**4 - 2 - 4*t + 2\/3*t**3. Let x(c) = -c**3 - c**2 + 1. Let r(g) = -2*b(g) - 6*x(g). What is r(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 136*l**2 - 529*l + 17. Calculate k(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67.37 - 67. Let s = n + -0.07. Suppose -30*x + 38*x = -40. Which is the nearest to 0.1? (a) s (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-924)\/(-528))\/(7\/2) + (-31)\/(-2). Let s = 9 - 4. Suppose -s*d = v - 23, 5*d = -v + 4*d + 7. Solve -4*i = -4*j + 20, 0*i - z = v*i - 4*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - p = -p. Suppose -2*s + 169 + 429 = p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (17 - 11) - 14 - (1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 35*f - 766 = 0, -5*f + 1433 = 2*h + 1325 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2*-2)\/((sqrt(9) + 1*sqrt(9))*4)*-3.\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*q - 12*q + 19*q - 1444 = 0. Let w(o) = -o**3 + 20*o**2 - 18*o - 24. What is w(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (220\/(-88))\/(15\/6)*-31?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-271)\/(0 + -1 + 0). What is the second derivative of -182*c**3 + a - 61*c - 271 wrt c?\nAnswer: -1092*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 531856.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 262 - (5\/(-20) + 1\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -8, 69.\nAnswer: -8, 5, 7, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209462*m - 3 = -209461*m + 2*k, m + 2*m - 3*k - 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42*(6 + 0)\/18 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 - 2*(-2 - -3). Suppose -a + h = -5*n, 0 = -2*a - 4*n + 4 + 4. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493300?\nAnswer: 2, 5, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 minutes after 6:51 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 100)*(12\/4 + 6). Let o(b) = -w*b + 466*b + 475*b + 6. Calculate o(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n + 10. Give i(-5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -543 (b) 0 (c) 5 (d) 0.08 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*((-570)\/12)\/(-19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 24, 23, 22?\n\"Answer: -b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m*z**3 + 46*m*z**2 + 153*m*z + 6*z**3 wrt z.\nAnswer: -6*m*z + 92*m + 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 680128150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1455206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k**3 - 783*k + 783*k)*(-275 - 269 + 1548*k - 269 + 812) in the form b*k**2 + s*k**4 + t*k**3 + z*k + w and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 174*k**2 + 15138*k - 439002.\nAnswer: 2*(k - 87)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218.960717542 - 0.040272458. Let s = -798 + 1017. Let z = s + i. What is z rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8130 and 9374703?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -58 + b42?\nAnswer: aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**7\/168 + n**4\/24 + 5*n**3\/3 + 3*n. Let i(z) be the second derivative of u(z). What is the first derivative of i(f) wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2*d*d**3*(d**(-1))**22)**2)**(-10\/7) assuming d is positive.\nAnswer: d**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 265547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c**2 - 5*c - 5. Let j(h) = -3*h**2 + 2*h + 2. What is -10*j(y) - 4*z(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 100*d**5 + 2420*d**4 + 20716*d**3 + 69500*d**2 + 42688*d - 135424 = 0?\nAnswer: -8, -23\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 + v - 4. Let c be y(0). Let h = -15 + 14. Put -5, h, c in decreasing order.\nAnswer: h, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of 11\/60*r**5 - 1\/12*r**8 + 43*r**2 + 0*r**3 + 0*r**7 + 0*r**4 + 0*r + 0 + 0*r**6. What is the third derivative of t(a) wrt a?\nAnswer: -1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -291 and 0.0611.\nAnswer: -290.9389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2*x + 0*x**2 - 1\/42*x**4 + 3\/70*x**5 - 2\/21*x**3 + 5. Let a(k) be the first derivative of t(k). Solve a(d) = 0 for d.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 205*t**2 - 1995*t - 2205.\nAnswer: -5*(t - 21)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2037)\/(-168) - 5\/40. Suppose v + 15 = n, -v - 3 = 5*c. Solve c - 3\/2*g**2 - 1\/2*g**4 + 1\/2*g + 3\/2*g**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*x = -23*x + 1379 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, g: 3, d: 4, i: 3, r: 1}. Give prob of sequence idu.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/217992 and 143\/124818.\nAnswer: 15477432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2455 by -823.\nAnswer: 2455\/823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 54, 128, 240, 396, 602, 864, 1188?\nAnswer: 1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455054966?\nAnswer: 2, 2897, 78539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2550 and 32640.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 315423250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -3, -5, 4\/31 in descending order.\nAnswer: 29, 4\/31, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5569, -10759, -15949?\n\"Answer: -5190*w - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/6148 and 53\/1849968.\nAnswer: 98048304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 4*p + 4182 = 0. Let h = 246 - p. What is the third smallest value in h, 2\/89, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Suppose 3*h + 4*j = 4, -n*h + 6*h = 5*j + 22. Suppose 5*s + 5*x - 50 = -0*s, -h*s + 40 = 3*x. 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: Let z be (-4)\/6*(-81)\/6. Let t(y) = -y**2 + 10*y - 6. List the prime factors of t(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80570989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**3 - y**2 - 3*y**3 + y + 0*y**2)*(2761 + 2763 - 20*y - 5527) in the form d + j*y**4 + t*y**2 + q*y**3 + a*y and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201123 (base 4) to base 5.\nAnswer: -32024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 2*p = -6*j + 2, 30 = 5*j + 4*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 200?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -855683 by -6.\nAnswer: 855683\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 7*q + 6 = 0, -4*f = 118760*q - 118758*q + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 + f**3 + 13*f. Let o be c(5). Let y(z) = -z**2 - z + 9. Let u(g) = -4. Give o*u(t) + 2*y(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 3)*1\/(-9). Suppose 2*b + 18 = -4*g, -10*g + 12*g = 2*b. What is the nearest to -1\/5 in g, w, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 5 - 109 - 4 + 93 + 0*z**3.\nAnswer: -z**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 4*f**3 - 38 + 185 - 59 - 30 - 30.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25309?\nAnswer: 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 107. What is the smallest common multiple of (21\/12)\/(1\/8) and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 0.104?\nAnswer: -0.1768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*g - 81 + 24, -2*r + g = 27. Is -11 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 20*m + 15*m = -162, 251 = 5*r + 2*m. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98 - -40) + 72 - 49.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*z + 24. Let l(k) = -7*k - 2. Give l(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111380 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1273631416.\nAnswer: 2, 1031, 154417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -818 or -4092\/5?\nAnswer: -818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 523 - 220. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -163*r + 160*r + 6. Solve -r*j - 5*i - 11 = j, -3*i = 5*j + 13 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1256 - -41.\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1337, -1321, -1301, -1277, -1249?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27637 + -27637.155. What is the third biggest value in -2\/47, l, -3, 0.4, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s**13*s)\/s*s*s\/s**(-7))\/((s\/s**12)\/(s\/s**(1\/10))) assuming s is positive.\nAnswer: s**(349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 15)*(20\/25)\/((-2)\/(-5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 5*k**2 + 7*k + 5. Let r be f(-6). Let l be r\/3*(-6)\/9. Suppose 4*a + 5*p = 6, p = -2*a + 3*p + 12. What is the nearest to -1 in l, a, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*a - 67. Let x be ((-96)\/(-45) - -3) + (-6)\/a. Let n be (1 - (x - 3)) + 1*13. Calculate the highest common factor of 84 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2. Let r(s) = 3*s - 2. Let p(c) = 2*c - 1. Let n(g) = 4*p(g) - 3*r(g). Let l(d) = 12*d - 27. Let t(x) = -2*l(x) - 27*n(x). Calculate f(t(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682708319 to the power of 1\/4, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/((sqrt(15)*4)\/sqrt(3)))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*f + 36*f = -20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0311217 rounded to 4 decimal places?\nAnswer: -0.0311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - a**3 - 2*a**2 + 15 - 6 to the form j*a**3 + t + y*a + h*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i + 70 = q, i - 2*q = 13. Suppose 4*n = -n - 2*g + i, 0 = 4*g - 4. What are the prime factors of (-3)\/(6\/(-202)) - n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74342, 148696, 223050?\n\"Answer: 74354*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(12*(-2)\/(-24)). Sort k, -2, 0 in descending order.\nAnswer: 0, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6306268575 and -1.3.\nAnswer: 6306268573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526 + 11*s**2 - 1594 + 545 + 528.\nAnswer: 11*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - 2*c. Let g(i) = 8*i**2 + 88*i. Determine -12*f(h) - g(h).\nAnswer: 4*h**2 - 64*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5311\/10 + -522. Calculate the common denominator of -1*2\/(-38)*14 and a.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -729805*w**2 + 7073*w + 14146. Let z(t) = -619*t**2 + 6*t + 12. Let o(v) = 6*y(v) - 7073*z(v). Let u(l) = 4*l**2. What is u(o(d))?\nAnswer: 1653796*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/33*1937\/(-29055)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/13)\/(c*c\/c**(1\/5)) assuming c is positive.\nAnswer: c**(-97\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 170 = -4*t, 5*d - 407 = -14*t + 10*t. Calculate the remainder when d is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4444*k = -4451*k - 112 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1010, -986, -856, -566, -62, 710?\n\"Answer: 9*o**3 - o**2 - 36*o - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 663264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4439.048mm?\nAnswer: 4.439048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1048 * -4.\nAnswer: 4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 17*t - 11. Let l be c(-16). Let g be l\/3*((-14)\/6 + 3). Is 9 a factor of 76\/g*(51\/(-6) - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51381 - 0.06?\nAnswer: -51381.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -23*q**2 + 75252*q + 1242238 wrt q?\nAnswer: -46*q + 75252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ogggggggogggg?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.37979 micrometers to nanometers.\nAnswer: 73379.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3851 - 3851.2. Let v = -3.9 + 4.6. Let s(o) = o**3 - 7*o**2 + 6*o - 3. Let l be s(6). Which is the nearest to v? (a) t (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 + 0 = 0. Suppose 9*p - k*p - 10 = 0. Let g(u) = 4*u - 3. What is g(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146, -345, -616, -959, -1374, -1861, -2420?\nAnswer: -3051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/(-9) - (-6)\/(-18). Let d = -2 - o. Let t be 5 + ((-12)\/3)\/d. Solve -4*g - 50 = 5*c - 13, t*c + 32 = -4*g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1034506701.\nAnswer: 3, 38315063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/263143 and -105\/251702.\nAnswer: 5789146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 5, 11 in increasing order.\nAnswer: 3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 19. Let l = 1.0000045 + d. Round l to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10799257201\/910 - 11867314. Let t = -1\/182 + u. Suppose 0 - t*a + 2\/5*a**2 = 0. Calculate a.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 0.9. Let i = -18673710.59999994 + 18673711. Let p = i - n. Round p to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 186\/48 - 4 - (-74)\/24 and (-225)\/(-108)*1\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 5*f + 3. Let j be u(6). Let t(w) = w**2 + 14*w + 29. Let q be t(-12). What is the highest common factor of j and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*g**3 + 10 - 18 + 56*g**3 + 8.\nAnswer: 74*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b4 (base 12) in base 6?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 159*i + 613. Let w be u(4). Let a(q) = q - 4 + 3*q - 5*q. Let x be a(w). Let z(n) = -6*n + 1. What is z(x)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a*a**(-4\/7)*a)\/((a*a**(-2\/3))\/(a\/a**(-1\/9))) assuming a is positive.\nAnswer: a**(-50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -224865.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13041600 divided by -41800\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -5*((4*sqrt(720))**2 + sqrt(720))*2*5)*5.\nAnswer: -2880000 - 3000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/112 and 29\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -131224 (base 5) to base 6\nAnswer: -40005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-21) + (-330)\/(-210)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/6 and -74\/29595.\nAnswer: 59190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(2 - (-192)\/(-135)). Let u = 737\/252 + f. Let k be -9 + 9 - (3 - (-2)\/(-1)). Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86002986.\nAnswer: 2, 3, 14333831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1659509687 less than -0.2195?\nAnswer: 1659509686.7805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.916135 centuries in years?\nAnswer: 891.6135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = 2*r, -11 = -5*r - t - 0. Let g = 8 + r. 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 prob of sequence kgkk when four letters picked without replacement from {k: 11, x: 1, g: 6, v: 1}?\nAnswer: 165\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 40 (b) -4\/3 (c) -2 (d) 4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 0*z = -3*w + z + 213 + 102, 2*w + 6*z - 234 = 0 for w.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**3\/7 + 236*f**2\/7 - 368*f\/7 + 124\/7.\nAnswer: 4*(f - 1)*(f + 31)*(2*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5700 = -5*o - l, -22*o + 26*o - 5*l = 4531. What are the prime factors of o?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 35 + 4*u**3 - 52 + 30 + 27.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -424363517445 and 183?\nAnswer: 424363517628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48883 minus 2?\nAnswer: -2.48883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110101110010 + 1?\nAnswer: 1111110101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -4, -6\/7, -3, 5\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - 4*(sqrt(5) + -2)) + -1.\nAnswer: -3*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2 + 0) - -2. Suppose -2*s - q*s = 0. Suppose -i + s*i = -3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/9 - (-79)\/9. Let v be (6\/1)\/(t\/(-6)). Is (-6)\/v + (-50)\/(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4 = 0, -t - 23*d + d + 20*d = t + 146 for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/39)\/r**(-2\/5)*(((r\/(r*r**(1\/4)*r*r)*r)\/r)\/r)**(-1\/89) assuming r is positive.\nAnswer: r**(26743\/69420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**6\/120 + s**5\/15 + s**4\/24 + s**3\/3 + 4*s**2. Let w be q(-3). Suppose -8 = -a + w. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2937060 and 1874124.\nAnswer: 196783020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**7\/210 + j**5\/40 + 5*j**3\/3 - 4. Let r(g) be the third derivative of q(g). What is the second derivative of r(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/20 - 13*j**4\/12 - 3*j**3\/2 + 19*j**2 - 3*j + 10. Let x be q(-12). Solve x*d = 4 - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 0*m - 7 - 2 - 2*m. Let a be h(-6). Factor -5*i**a + 2*i**4 + 4*i**3 + i**2 - i**4 - i**3.\nAnswer: i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -233. Let k = -168.000136 - h. Round k to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011101100101000010 (base 2) to base 15\nAnswer: cb397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/263 >= 467532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - 36 - -39 - -30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 - 49*t + 49*t. Let d(k) = 8*k**2. Give m(d(l)).\nAnswer: -128*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3903212354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 21\/20*i**5 + 13*i + 3*i**2 + 0 - 1\/8*i**4 + 139\/6*i**3. What is the first derivative of m(f) wrt f?\nAnswer: 126*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 273408 and 1472?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5792*l**3 + 2590*l**3 + 2578*l**3 - 10982*l**3.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -120*u + 3075. Solve -2*t + 5*f - 7 = 0, u = 4*t - f + 4*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14433 (base 7) to base 6\nAnswer: -30253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 + 9 + i**2 - 10 - 30*i**3 in the form b + o*i**2 + m*i + n*i**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45680 = -90*c + 944*c + 1430*c for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g - 10*g + 78*g - 8*g - 12*g - 16*g + 26.\nAnswer: 3*g + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*r = 40812, -2*r = -17 + 13. Round t to the nearest 100.\nAnswer: -10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.11, -1007?\nAnswer: -1007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -0 - 119. What is the greatest common divisor of 187 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 2149.\nAnswer: -429.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 219*c**3 - 32*c**2 + 4*c**2 - 224*c**3 to the form y*c**3 + q*c + z + k*c**2 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01427 - -76538012181.\nAnswer: 76538012181.01427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (937*i**4 - 2529*i**4 + 1208*i**4)*(2 - 1 - 3) - i**4 + 0*i**4 - 2*i**4 in the form q*i**2 + m + c*i**4 + d*i**3 + j*i and give c.\nAnswer: 765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from uiiuuuuuuu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(z + 2*z + z).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -364446, -364443, -364440, -364437?\nAnswer: -364434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/23741 - -14743096\/1543165. Let u = -132\/13 + z. What is the closest to -2 in u, 19, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 17. Let d(i) = 5. Let t(l) = 2*a(l) - 7*d(l). Let g(m) = -3*m**2 - 39*m + 40. Let r(o) = -g(o) + 2*t(o). Let r(p) = 0. What is p?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 2*r. Let d be b(2). Suppose d*v + 5*c = 136, -v - c = -0*v - 33. What is the remainder when 142 is divided by v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*n + 55*n + 1965 = 0. Let c be (20\/(-6))\/(n\/(-393)). Find j such that 1\/3*j**c - 1\/6 - 1\/3*j**3 + 1\/6*j - 1\/6*j**4 + 1\/6*j**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4803 or 8841?\nAnswer: 8841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = y - 2*y. Sort -4, y, 0, -5 in increasing order.\nAnswer: -5, -4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 15*s - 5. Suppose -2*a + 5*t = -11 - 21, -5*a = -4*t - 46. Suppose u - a*u + 2 = -4*z, u + 4 = 3*z. Is 6 a factor of c(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 10 = 3*s, -3*n + 4*n - 4 = 0. Let i be s\/(-9) - (-15)\/9. Let y be (-1 + -1 - -2)\/i. Are 4\/9 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 + 78 = -36*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -9. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 19545 - 22035 = 0. Suppose 5*x = -10*x + b. What is the greatest common divisor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4684, -9372, -14060, -18748?\nAnswer: -23436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008078 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/23 - 2194*h\/23 - 11020\/23.\nAnswer: 2*(h - 1102)*(h + 5)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/60*(-30)\/63. Let m = 1\/126 - r. Which is the second smallest value? (a) m (b) 8 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**4 + 3\/5*f**5 - 12*f + 8 + 0*f**3 + 0*f**2. What is the first derivative of g(y) wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1 - 0) + -4)\/(0 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133181036.\nAnswer: 2, 3, 13, 17, 197, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s + 340. Give q(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - d**3 + d**3 - 2*d**3 - 2*d**4 - 2 to the form i + j*d**4 + t*d + q*d**3 + o*d**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 27 = 4*h - 15, 4*h - 4*x = 24. Let n(g) = 7*g - 17. Let b(i) = 10*i - 26. Let u(a) = -5*b(a) + 7*n(a). Let m be u(h). Solve m*r + 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143.7 + -2.3. Let a = -145.99999786 - d. Round a to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2925 = 11*o. Let n be 1\/(-1) + (-429)\/o. What is the nearest to -1 in -0.2, 8, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 7929 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 9*w - w + 0*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15770 - 6377. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba81 (base 16) in base 11?\nAnswer: -32965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -4, -123 in descending order.\nAnswer: 5, 4, -4, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 73*s**2 - 4*s - 292. Let z be h(-73). Factor -5\/2*f**3 + 0 + z*f + 25\/4*f**2 + 1\/4*f**4.\nAnswer: f**2*(f - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/27*(-1568)\/784*(-1 + (-6)\/(-4))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298367455 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, 177 in ascending order.\nAnswer: -5, 2, 5, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 8 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-3))\/4*-3. Let y be -2 + 6*1 + r. Let z = 172 + -171. What is the third smallest value in z, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001904155 rounded to 6 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by -12\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 3751.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) + -1)**2 - sqrt(2448)) + -5 - sqrt(2448)*-2*-3) + (1*sqrt(2448)*2*-1)**2.\nAnswer: -108*sqrt(17) + 12236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 6*s + i + 12, 0 = 2*s + 4*i + 8. Let u = 155\/184 - 28\/23. Let x = -5 - -9. Which is the closest to x? (a) s (b) u (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1344 + 4?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -4 - (-2)\/(4\/2). Solve 0 = s + s + h - 1, -2*h = -j*s - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**4 - 4*k**3 + k - 4. Let s(m) = 32*m**4 - 11*m**3 + 3*m - 11. Let y(f) = -11*i(f) + 4*s(f). What is the second derivative of y(x) wrt x?\nAnswer: 84*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 7:15 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 262117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -645.2138 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z\/z**(-5))\/((z\/(z**(2\/17)*z))\/(((z*z*(z\/(z\/z**(-2\/7))*z)\/z*z*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(456\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1030*v*y*z + 14277*v*y + 2*v*z - 2*v + 3*y*z - 8*z wrt z.\nAnswer: -1030*v*y + 2*v + 3*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-61)\/(((-18)\/(-9))\/((-4)\/2)). Let o = n - 22. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2227*j + 2381*j**2 - 7167*j**2 - 2227*j to the form l*j + x + q*j**2 and give q.\nAnswer: -4786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 474 + -479. Let w = -0.6 - -0.2. Let s = 0.09 + -0.13. Which is the third biggest value? (a) w (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 16) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from {u: 2, q: 2, g: 1, r: 3, c: 4}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/20*(46\/(-33) + 1048\/17292)?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63607 is divided by 2776.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2375*(4\/1 + 476). What is c rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/91, 5848, -0.71, 4 in ascending order.\nAnswer: -0.71, 4\/91, 4, 5848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 327 + -233. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -76469?\nAnswer: 76472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*d - 2763 = 4370 + 1811 for d.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5 + sqrt(32) + -4 + (sqrt(8) + sqrt(32))\/sqrt(4))**2.\nAnswer: -126*sqrt(2) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 30. Let a be b(13). Suppose -4*r = 14 + 10. Let z be (r\/(-4) + -2)*-4. Solve -z*p + a = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 30. What is the nearest to p in -1\/4, -5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8588563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4671108 to two decimal places.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 97290 and 376.\nAnswer: 389160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 4*w)*(-5161*w**2 + 12*w**4 + 5161*w**2) + 6*w - 6*w + w**5.\nAnswer: -47*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2285 + 2312. What is the greatest common factor of y and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnfn when four letters picked without replacement from {w: 2, p: 2, f: 4, z: 1, d: 2, n: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.2, -3945, 0.4 in descending order.\nAnswer: 0.6, 0.4, 0.2, -3945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + (13 - 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 2516546*x - 27 = -2516543*x, 5*n - 5*x + 115 = 0 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a. Suppose -y + 0*y = a. Let o = 4 + y. Solve -o*s + 2*s - 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-242 + 242 + 30*o)*(-o + 2*o + o).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {y: 1, j: 2, a: 2, g: 1, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 566*k**3 + 5*k**2 - 5. Let x(j) = -189*j**3 - 2*j**2 + 2. Let d(s) = 3*i(s) + 8*x(s). Let g be d(1). Suppose -3*z + 0*z + g = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52)\/143 + ((-666)\/22)\/(-9). Solve -25 = y*u + 4*r - 33, -3*u - 22 = -2*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g - 3*d - 3 = 15*g, 2*d - 4 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.12 and 0.2.\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2129800 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 1413 + 1365 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 plus -48.3?\nAnswer: -7.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 2. Let r = i - 32. Let t(a) = a**2 + a + 42. Let h be t(0). What is the highest common divisor of r and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(288) - sqrt(288)) + -3)*3)**2 + 1 + (sqrt(288) + -1)**2*5.\nAnswer: -768*sqrt(2) + 4119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 38*n = 42*n - 39, n - 3 = 0. Suppose -2*s = 3*j - y, 5*s - 3*j = 6 + 30. What is the greatest common divisor of 234 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*p - 0*p - 1304, -2*s = 5*p + 658. Let c be 11\/(220\/s) - (-3)\/(-1). Which is greater: c or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/4))**16)**(-19\/4) assuming v is positive.\nAnswer: v**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3 - 5*u**2 - 5*u + u**2 + 3*u**2. Suppose 11*h + 12 = 9*h. Determine m(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 3*s**2 + 3630*s - 25238. Calculate r(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.23, -4, 2\/99?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(119)*1*-3)\/(sqrt(70)\/((sqrt(30)*-1)\/sqrt(3) - sqrt(10))))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -320.78 + 320.6. What is the second smallest value in -9, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffl. Give prob of sequence ffl.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -10800*m**2 + 257*m - 1048. Let p be z(4). What is p rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4219882991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**29)*z)\/z**(-2\/101)*z\/(z**(-33)*z*z)*(z*z\/(z\/(z*z\/z**(2\/17))*z)*z)\/z assuming z is positive.\nAnswer: z**(109720\/1717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(891) + 1 + (3 + 2*sqrt(891))*-1.\nAnswer: -9*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -474*u + 3403*u - 1 + 1 - 167*u to the form g + p*u and give p.\nAnswer: 2762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Let k = g + 3. What is the second smallest value in -9, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 122276 and 0.06 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 456 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**39\/k*k)\/(k*k**(-2\/35)*k))**(1\/20) assuming k is positive.\nAnswer: k**(333\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35841.\nAnswer: 3, 13, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1451 + 1451 + 24*c)*(2 - 2 + c**2) - 4*c**3 + 5*c**3 + c**3 + 0 + 2*c**3 + 0 + (c - 2*c + 2*c)*(0*c**2 + 2*c**2 - c**2).\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/7))**(1\/49))**(-3\/14) assuming k is positive.\nAnswer: k**(-9\/2401)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 530 in -1\/2, 0.18, -1\/3, 0?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104555?\nAnswer: 5, 11, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10 + h**2 - 28 - 2 + 5 + 18*h. Let s be r(-18). What are the prime factors of 1077\/21 + -2*(-5)\/s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 9 (c) -1\/1989 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 3*w**2 + 7*w**2 - w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14211 - 1684 = -17*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 137 + 35 = 5*g, -8 = -4*g. What is the greatest common factor of x and 738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290837 is divided by 444.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906950917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -0.2. Let t be (-1)\/(-5)*(-2)\/(-1). Let s = 5.1835 - 5.6835. What is the third biggest value in w, t, s, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1290600*p**4 - 1934482*p**2 wrt p.\nAnswer: 30974400*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 2\/9, 1 in descending order.\nAnswer: 111, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19895998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 618712558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**6\/420 + c**5\/105 + c**4\/84 - c**2 - 4*c. Let j(v) be the first derivative of g(v). Find b such that j(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -0.4 (c) 5 (d) 2\/5 (e) 4\/9 (f) 4349\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccoacacc. Give prob of picking 1 a, 1 o, and 1 c.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 352054 divided by -92?\nAnswer: -176027\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 26214*h - 26216*h + 21, 5*h - 3*a = 37 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 109272079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412042578.\nAnswer: 2, 3, 68673763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 6. Let y = -0.3 + 0.45. Let n = y + -0.05. Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t - 2*j + 1, 3*t - 10 = 4*j. Suppose -t*u + 20 = -0*u. Let n(x) = 101*x**3 - x**2 - 4*x + 3. What is the remainder when n(1) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 254 = 20*y - 2*t, 7*t = 3*y + 3*t + 51 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2105 + 6624. What are the prime factors of d?\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -506?\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 829447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -323682, -323644, -323606?\n\"Answer: 38*y - 323720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92294251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l + 12 = -4*g, l = -2*g - 5. What is the tens digit of -3 - -21 - -3 - l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1467 - 736. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414 and 9630?\nAnswer: 221490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7566184*l**2 - 5434594 with respect to l.\nAnswer: -15132368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -26*c**5\/5 + 101*c**4\/4 + 199*c. What is the third derivative of v(z) wrt z?\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o - 25*o = 138. Suppose 0 = 2*r - 12 + 2. Find the third derivative of 2*d**2 + 2*d**2 - 3*d**5 - o*d**r - 9*d**5 wrt d.\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:53 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3363 and 1779.\nAnswer: 1994259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 - 68393*q**2 + 17229644*q = 0. Calculate q.\nAnswer: -68644, 0, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*s = -s - 1966, 3*g + 2993 = -5*s. Let z = g + 595. Is (-3)\/6 - z\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/56 of a week?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -151870000 to the nearest one million.\nAnswer: -152000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*h + 66*h - 55*h - 10*h**2 + 6*h**2 + 36*h**2 + 2 as g*h + i*h**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150\/(-39) - 6\/39?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/9783910 and 55\/11740692.\nAnswer: 58703460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*q**2 + 1077 + 6*q**2 - 1077 - 6*q**2.\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 0*y**4 - 3*y**2 + 0 + 0*y + 1\/60*y**5 + 0*y**3. Let j(k) = 7*k**2. What is j(a(v))?\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1520660014 + -2.\nAnswer: -1520660016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 10:19 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -118*h - 156*h + 15486. Calculate the remainder when (-6)\/4*458\/(-3) is divided by h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*h*n**3 - 552*f*h - 181*f*n**3 - 2*f*n**2 - 2*f*n - 43320*h*n**3 + 775*h + 2*n wrt n?\nAnswer: -6*f*h - 1086*f - 259920*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57582 = -895*o + 33708 for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 76*m = 1344100. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66.9 - 70. Let w = i - -3. Let z be (-4)\/(-6)*(-3)\/4. Which is greater: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859657489?\nAnswer: 19, 45245131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23263102 is divided by 2399?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -14 + 6. Let i = a + -1. Which is greater: i or -2\/23?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 3 + -17 - -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*z = 247, z - 42 = -2*i + 235. Let p = i + -678\/5. Let f = -608\/7 + 87. What is the third smallest value in f, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -848807 (base 11) in base 15?\nAnswer: -1bc830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -2 + 22*l - 1\/2*l**3 - 5\/2*l**2. Let x(s) = s + 1. Give u(o) + 4*x(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 2, 3, -5 in ascending order.\nAnswer: -5, 2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 4\/9*p**2 + 8\/27*p**3 + 5\/54*p**4 + 0 - p + 1\/90*p**5. Find a such that r(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669873922 to the power of 1\/2, to the nearest integer?\nAnswer: 25882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6511\/84 + 486\/7. What is the common denominator of -107\/12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-10 - (-24 - -14)) - -11) + 0 + -18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 262842.8?\nAnswer: 26284.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 82. Let n(u) = -117*u. What is n(q(b))?\nAnswer: -117*b**2 + 9594","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppppppppmpppppppp. Give prob of picking 1 m and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 - -627?\nAnswer: 623.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69143952.\nAnswer: 2, 3, 1440499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/5 - 3*r**2\/5 - 12*r\/5 + 12\/5.\nAnswer: 3*(r - 2)*(r - 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938?\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4 = -3*c, 5*f + 0 = 5*c + 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**0)\/t)\/t)**(-23)\/((t\/t**(2\/5))\/(t\/(t*t\/(t*t*t**(-4)*t)*t))))**(1\/25) assuming t is positive.\nAnswer: t**(97\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 10:32 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 + m**2)*(2*m**2 - 2*m**2 + 5*m**2) + 0*m**4 + 2*m**4 - 3*m**4 - 2*m**3 + 2*m**3 + 4*m**4 + (-2*m**4 + 3*m - 3*m)*(3 - 3 - 3).\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h + 2*h)*(-130 - h + 12*h - 43 - 16*h) + h**2 + h**2 + 2*h**2.\nAnswer: -6*h**2 - 346*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/29)\/m**2)\/(m**1)**(-27) assuming m is positive.\nAnswer: m**(723\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650157.\nAnswer: 3, 216719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {h: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.028 and 0.07.\nAnswer: -0.07196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -a04886 (base 11) in base 13?\nAnswer: -447c58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/16 and 4*(-66)\/(-60)*((-70)\/(-8704) - 0).\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7725.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/5 + 68*p**2\/5 - 192*p\/5 + 126\/5 = 0. Calculate p.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29\/2 - 14. Which is the biggest value? (a) -4 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32632719 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + -5*292\/(-30) + 5\/15. Solve n - 18 = 4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*m**3 - 8*m**3 - 3*m + 13*m**3 as b*m**3 + f + h*m + g*m**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 47466, 94932, 142398, 189864, 237330, 284796?\n\"Answer: 47466*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1930 - -1927. What is the closest to -0.1 in 3, 1, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -36*s**3 + 1. Determine h(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 21*z**2 + 22*z + 11. Let r(y) = -y**2 - 76*y + 51. Let h(c) = 19*c - 13. Let k(n) = 9*h(n) + 2*r(n). Let o be k(7). Is p(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23222 - 13?\nAnswer: 23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 258? (a) 3\/2 (b) -5 (c) -1 (d) 824.4 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2751767 is divided by 2751712.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3*(-6)\/(-6))\/9. Let r(n) be the first derivative of 3 + k*n**3 + n**2 + 0*n. Give r(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3082 + 51.82206.\nAnswer: 49.51386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113308*d - 91119*d + 204429*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/20 and -33\/520?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1836) - 5*sqrt(1836)))\/(2*2*sqrt(3) - (sqrt(3) - (sqrt(3) - (sqrt(27)*-2 + sqrt(3))))).\nAnswer: 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 2*l + 10*l - 8*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2545908, -5091817, -7637726?\nAnswer: -10183635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u**2 + 3*u + 3. Let j be m(-5). Let c(a) = a**2 + 13*a + 8. Let k be c(j). Let s = 17 + k. Is s a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/20 - (-1 - -1))*1. Let w = -6.37 + 6.27. Which is the fourth biggest value? (a) i (b) -9 (c) -0.3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 448 and 116800?\nAnswer: 817600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185676757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -3 + 1\/4*f**4 + 0*f**3 + 0*f**2 - 7*f. What is the derivative of u(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21432 + 2451?\nAnswer: -15651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/65 - 41\/(-13). Suppose u - x = -2*u. Are u and 1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1067, 1066, 1067, 1070, 1075?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 14*i**6\/15 - 8*i**2 + 28*i. Differentiate w(k) wrt k.\nAnswer: 112*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574150?\nAnswer: 2, 3, 5, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14654282, 29308566, 43962850, 58617134, 73271418, 87925702?\nAnswer: 102579986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -6403 = -5938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.292 + -0.302. Which is the nearest to -4? (a) m (b) 0.5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*b**2\/7 - 2509720*b\/7 + 15746736196\/7.\nAnswer: 4*(5*b - 62743)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 1479\nAnswer: 443.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 3, c: 1, o: 7, x: 3, z: 3}. Give prob of sequence xz.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c - 55. Let f = c + -4. What is the third derivative of -m**2 - m**2 - f*m**4 + 6*m**4 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 713*m**3 - 713*m**3 - 2*m**2 - 1 - 2*m + 6*m**4 as z + v*m**4 + l*m + k*m**2 + g*m**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -2\/9, -2, 2, 0.3, 50 in increasing order.\nAnswer: -2, -2\/9, 0.3, 2, 50, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*y + 16. Let k be (59 - 2)\/3 + y. Is (-57)\/4*k\/(-3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:00 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -43*h + 121 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 196\/6*(3\/2 + 0). Suppose -b + 14 = -7*k. Suppose 0 = 5*c - 38 - 187. What is the highest common factor of k and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4. Let c(g) = g**3 - 12*g**2 - g - 4. Let o(n) = -c(n) - 4*h(n). Suppose d = 4*s - 2 - 48, 2*d = -4. Calculate o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/16 + 17\/16. Let r be (4\/(-2) + 2)\/2. Are r and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 11) in base 8?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*f - u, 4 - 1 = 3*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 10:26 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 8:21 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161077 is divided by 1548.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-6)\/192*-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1712, 4266, 8496, 15242, 25344, 39642?\n\"Answer: 140*u**3 - 2*u**2 + 1580*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-50)*1725\/(-3). Let n = d + 235. Solve -4*t = -n*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 27*a**2 + 630*a - 450. Determine t(-24).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(243))**2 - (-1*sqrt(3)*1 + sqrt(6)\/sqrt(2) + 4 + sqrt(3)).\nAnswer: -91*sqrt(3) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 26 = -4*k - 0*j, -2*k - 2*j = -4. Let r = -3 + k. Suppose 3*w + 3*h - 60 = 0, r*w + h - 67 = -29. What is the remainder when 53 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/27)*w**3*w)**(-30\/11) assuming w is positive.\nAnswer: w**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*f - 135*f. Let h(q) be the second derivative of 0*q**2 + f*q**3 + 8 - q + 1\/12*q**4. Let w(a) = -17*a**2. Give w(h(b)).\nAnswer: -17*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 11:49 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331.3603 rounded to one decimal place?\nAnswer: 4331.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*n**2 - 2*g**2*n + g*n**3 + 2*g*n**2 - 1526*n wrt n.\nAnswer: -4*g**2 + 6*g*n + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 45*r + 50.\nAnswer: (r - 10)*(4*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 5*a - 3. Let c be o(5). Let i = -11 + c. Let d be (-839990)\/35 + 4\/i. Round d to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 3*z = 27, z - 11*z + 6*z - 8 = -4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 1 b when three letters picked without replacement from {g: 2, q: 8, b: 4, h: 1, f: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24320208 divided by 2026684.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197322?\nAnswer: 2, 3, 32887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 + 10*a**2 + 4*a - 4. Let z(i) = i**3 - 2*i**2 - i + 1. Let c(s) = -2*y(s) - 11*z(s). Give c(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -6, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0034 and 2.27.\nAnswer: 2.2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggdgdx. What is prob of picking 1 g and 2 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20229 = 23*i - 13581. Calculate the highest common divisor of i and 1190.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/44)\/(-3*(-5)\/30)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.74 - -3.74. Let a be 1\/2*(-6 - -2). What is the smallest value in -4, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 21*w**3 + 4*w**2 - 4*w. Let f(r) = 925*r**3 + 175*r**2 - 175*r. Give -4*f(h) + 175*k(h).\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -151, -321, -491, -661, -831, -1001?\n\"Answer: -170*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 868?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1528 - 1079. Let j = n + -448.7. Let y = -0.5 - 0. What is the nearest to 1 in -0.4, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5538 less than -2619477237?\nAnswer: -2619482775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3 + v**2 + 2 + 2*v - v. Let q = -70 + 74. Let b(z) = -5*z**2 - 5*z + 4. Let a(r) = q*w(r) + b(r). Find the second derivative of a(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 18*p + 14 = -19 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15207999 a multiple of 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*l**2 + l**2 - 4*l**2)*(3*l + 1 - 1) + l**3 + 3*l**3 - 6*l**3)*(2*l + l - 4*l) in the form z*l**3 + f*l**4 + g*l**2 + w + k*l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8 and 47\/23?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 259.68 * 2518.\nAnswer: 653874.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in -3\/4, -4, 3, -2\/59?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 576\/91?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 1:15 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -2. Solve 4*s - s = -a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14099803 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -126243899 rounded to the nearest 1000000?\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 divided by -3994?\nAnswer: -256\/1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.6*0.035713.\nAnswer: -0.0571408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 9. Let p = -6.7 - n. Let s(i) = -i**2 - 70*i + 371. Let l be s(5). What is the nearest to -0.2 in 2, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -401, -821, -1257, -1709, -2177, -2661?\n\"Answer: -8*n**2 - 396*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.1 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 4*h + 4. Let t be a(3). Suppose -12 = -2*w - 2*w. Suppose -5*p + 8*p - 15 = 0. Sort w, t, p in increasing order.\nAnswer: t, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 - 2 - 1*(-2 + -1). Let r be (1 + 1)\/(5 - 3). Let c(w) = 1 - r + h*w - 7 - 5*w. Calculate c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -23100133?\nAnswer: 23100203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*1 - 1\/(3\/204). Let u = w - -94. What is the first derivative of -10 + 69 - u + 20*j - 17 wrt j?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {w: 3, t: 5, k: 9, i: 2}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - a**3 + a**3)*(-1 - 5 + 5) + 3*a**2 + a**3 - 3*a**2 - a**3 + 2 - 2 + 1.\nAnswer: a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -9058.\nAnswer: -9047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.3, 1\/3, 5, 48945\/8, 0.5, -0.4, 1.4?\nAnswer: 48945\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.166 * 25879\nAnswer: -4295.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 214592395*u**4 + 130966545 wrt u.\nAnswer: 858369580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2)\/(-1 + 0) + 5105. Suppose -q = 11*n - 484. What is n rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + 450*m - 68848. What is y(-199)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/10*(-3)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58461.523 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000011100 (base 2) in base 11?\nAnswer: -2794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 403*r + 186. Let o(x) = -7*x**2. Calculate p(o(l)).\nAnswer: -2821*l**2 + 186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -156\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929803.\nAnswer: 1929803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 11 + 0)*(-1 + 2 - 3) + 2 - 7 - 12)*(3*l**3 + 339*l - 339*l) as x*l + d + c*l**2 + m*l**3 and give m.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2823*p**5 + p**4 + 3*p**3 + 16390*p**2 + 2 wrt p?\nAnswer: -169380*p**2 + 24*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**5 + 249*d**4 + 3288*d**3 + 3864*d**2 - 63120*d + 80400 = 0.\nAnswer: -67, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 60*s**2 + 8128*s + 1387184. Let c(d) = -19*d**2 - 2710*d - 462395. Let k(x) = -16*c(x) - 5*j(x). Let k(m) = 0. What is m?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124894983 to the power of 1\/3, to the nearest integer?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h**18*h\/h**(-1\/4)*h)\/(h**(-1\/32)\/h*(h\/h**(-1\/4))\/h*h) assuming h is positive.\nAnswer: h**(737\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 11030132212?\nAnswer: 11030132201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -231? (a) -2 (b) -12 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - i - 4. Let g(n) = -1. Let k(r) = 5*g(r) - t(r). Let z = -517 + 518. Determine k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217\/93 + (-11454)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*g - 5*p, -6*p + 60 = 5*g - p. Suppose 0 = -3*k + k. Suppose 5*r - 58 - 37 = k. Calculate the remainder when r is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqlo when four letters picked without replacement from {h: 2, l: 6, q: 2, o: 8, i: 1, n: 1}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*0 - -2. Let c(y) = -y + y**3 - y**2 + 0*y**2 - 3 - z*y**3. Let a = -4 - -4. Calculate c(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.878 - 0.878. Which is the third smallest value? (a) 0.6 (b) u (c) 2 (d) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 48 = -5*y - 3*u, -26 = -3*y + u. Suppose 4*i + y = -0. What is the remainder when (i - (-78)\/(-4))*-2 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - -1)\/(7 + 186\/(-24)). Is (-1390)\/j*(-18)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-85)\/51 + 17\/3 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2 - 97*t**2 + 2 + 4.\nAnswer: -97*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -7*r**2\/2 - r - 3. Is 19 a factor of u(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -17, -574 in ascending order.\nAnswer: -574, -17, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 985 or 1033?\nAnswer: 985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - cd8?\nAnswer: -d22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.8 - -17. Let o = f + -1.3. Which is the closest to 0? (a) -2\/3 (b) o (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285688795?\nAnswer: 5, 7, 47, 173671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*j + 0*j - 4*j)*(1 + 0 - 2) + j - 4*j - 2*j)*(2*j + 28*j**2 - 57*j**2 + 27*j**2).\nAnswer: 12*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 111*f - 105. Let x be l(55). Put 0, 5, -2, x, 4 in descending order.\nAnswer: 5, 4, 0, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171 - -173. What is the second derivative of -10*z**3 - 289*z**2 - 38*z + 141*z**2 + 147*z**a wrt z?\nAnswer: -60*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-1)*10 + 2 is divided by (-2)\/6*3*-7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let y(n) = -1 + 0*n - 3*n + 1. Determine i(y(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 66, 64, 62, 60, 58?\n\"Answer: -2*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 281082530 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(15)\/(sqrt(5)*1*3) - (5 + (sqrt(3) + 3*(sqrt(12)\/sqrt(4))**2 - (-2 + sqrt(3) + -1))).\nAnswer: -19 + sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -208, -342, -480, -622, -768?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 30\/21)*(-35)\/(-20). What is the fourth biggest value in 3, c, -0.5, -5\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 - 1 + 1)*(-h + 0*h - 3*h) + 2*h**5 + 160*h**3 - 13*h - 160*h**3.\nAnswer: -6*h**5 - 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 26. What is h(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -406, 2, -5, 0 in increasing order.\nAnswer: -406, -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/5, -62\/71, -3\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 916 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-18) - (-12)\/(-24)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 30. Calculate the least common multiple of 11 and (16\/4 - 2)*m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/146540912 and 89\/1956?\nAnswer: 439622736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62753, 62750, 62747?\nAnswer: 62744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + z + 2 - z**4 + 2*z**4 + 1 - 1 to x + v*z**2 + m*z**4 + i*z + y*z**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in -39\/4, -4\/7, 0.2, -3\/47?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.37 rounded to the nearest ten?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 6*h**2 + 7*h - 2. Let l be k(7). Suppose -4*g + 0*g + 2 = -s, -4*s = 8. Sort g, l, 3 in decreasing order.\nAnswer: 3, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226023620 and 3040?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5395601.99 rounded to the nearest ten thousand?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -m - 56 + 287, -k + 5*m = -99. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-6422))\/((-1011)\/(-8762))?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3) + -5 + sqrt(27))*-1 - 6*(-2 + (sqrt(300) - sqrt(300)*1) + sqrt(300))**2.\nAnswer: -1822 + 236*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**3*p**2 - 708169035*j**3 - 11*j*p**2 - 2743639*j*p wrt p?\nAnswer: -2*j**3*p - 22*j*p - 2743639*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -11 + 9\/4*m**4 + 0*m**2 + 0*m**3 + 5*m. What is the derivative of h(y) wrt y?\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 2:14 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 10*c - 91. Let y = -328 - -337. What is the tens digit of v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41456?\nAnswer: 2, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 764 and 1910.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -176a3 (base 12) to base 7\nAnswer: -200412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 61*l + 903. Let q be p(-25). Solve q*x - b = 18, 34*x - 39*x - 4*b = -13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1))\/((-2)\/(-10)). Suppose 0*m = -d*m - 3*r + 673, -138 = -m - 4*r. What is the remainder when m is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2787232.758 to the nearest 1000.\nAnswer: 2787000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.01 and 2?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.2004 + -468?\nAnswer: -422.7996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/12)*(r**3*r)\/r*((r\/r**(1\/4))\/r)**28)**(4\/5) assuming r is positive.\nAnswer: r**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2312, 2311, 2310, 2309, 2308?\nAnswer: 2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4054425 (base 7) to base 16.\nAnswer: -7635c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46519765\/52196 + -20\/13049. Let q = -39313\/44 + p. Let a = -25\/14 + -278\/7. Calculate the common denominator of a and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 713*u**2*w**2*z**2 - u**2*w**2 + 7*u**2*w + 3123*u*w**2 - 691*w*z**3 + 1 with respect to z.\nAnswer: 1426*u**2*w**2*z - 2073*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146712 = 3*x - 3*z, -3*z + z = 5*x + 244492. What is x rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-17)*w)\/(w\/(w\/(w*w**12*w)*w))*(w\/(w*w**(-1)))**0)**4 assuming w is positive.\nAnswer: w**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1199 divide 7675919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 23*n - 26*n + 5*n**4 - 32*n - 25*n**3 + 10 + 45*n**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-16))\/x**(-4)*(x\/((x**(-3\/2)\/x*x)\/x))**(2\/35) assuming x is positive.\nAnswer: x**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26\/5 (b) 2\/7 (c) 0.2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 11:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-8950.09.\nAnswer: -2685.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + t**2 + t - 1. Let g(s) = -10*s**3 - 2*s**2 - 7*s + 5. Give -5*b(z) - g(z).\nAnswer: 5*z**3 - 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*n*x**3 - 55838972*n + 7816264*x**4 wrt x?\nAnswer: 87*n*x**2 + 31265056*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*p + 30 = -669*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**3 + 2*n + 1. Let u(j) = -j**3 + 10*j**2 - 7*j - 15. Let f be u(9). Suppose 0 = 214*z - 211*z + f. Determine k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)\/h*h)\/h**(-1\/6)*(h**(-1\/3)\/h)**(-1\/21))**26)**(18\/11) assuming h is positive.\nAnswer: h**(-5798\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-14)*(-4)\/9. Which is the closest to 0.1? (a) 6\/11 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6194*m - 4496. Calculate r(1).\nAnswer: 1698","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*l + 4 = -l, 3*z + 2*l = 11. Suppose o + 4 = -z*o. Is 17 a factor of (o + 2)*3*13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.42082l in millilitres?\nAnswer: 41420.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 552 and 756\/(-49)*2\/(-4)*14?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s - 14. Let t = 0 + 16. Is d(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/3, 4.028 in ascending order.\nAnswer: -2, -2\/3, 4.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 - 2*j + 11)*(j - 1 + 1) + 3*j**2 - 2*j**2 + 18*j**2 + 3*j**2 - j**2 - j**2 in the form o + a*j**2 + q*j and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 1\/45 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -15*v + 79 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 2:29 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11398124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -22. Which is the closest to w? (a) 0.5 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**7\/49 - j**6\/5 + 27*j**5\/35 - 11*j**4\/7 + 13*j**3\/7 - 9*j**2\/7 + 14*j. Factor i(z).\nAnswer: 6*(z - 3)*(z - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*f - 258*f - 1085201 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 9. Let f(g) = -6*g**2 - 5*g**2 + 3*g**2 + 3*g**2 + 17*g**2. What is m(f(r))?\nAnswer: 432*r**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 4*m - 2*m + 8, -7 = -4*u + 3*m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 104 + 0*r - 108 - r**2 to d*r + f + j*r**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Suppose d*k = -5*y - 3 + 8, y = 5*k + 1. Let g(o) = -o**3 - o**2 + 16*o + 29. Let j be g(-4). Solve 4*p - j = h - k*h, 0 = 4*p - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3 - 1706*l**2 - 92341*l - 1316310 = 0. What is l?\nAnswer: -510, -89\/3, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l = -18. Let r = 12 - l. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 18 = a, -3*a + 36 + 21 = -5*m. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -1286*l**3 + 96*l**2 - 2*l - 1. Let s(v) = 1287*v**3 - 144*v**2 + 3*v + 1. Determine -6*o(j) - 4*s(j).\nAnswer: 2568*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 38 and -89 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21571278, -21571292, -21571308, -21571326, -21571346?\n\"Answer: -z**2 - 11*z - 21571266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*t**2 + 102*t**2 - 2*t**3 - t**3 to s*t**2 + m*t + v*t**3 + f and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)*j)**(1\/23)*(((j*j*j**(-2\/9)*j*j)\/j*j)\/j)\/j**(-11))**(16\/9) assuming j is positive.\nAnswer: j**(45344\/1863)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**7\/42 - 11*g**6\/60 - 27*g**5\/20 - 19*g**4\/6 - 11*g**3\/3 - 9*g**2\/4 + 642*g. Factor c(o).\nAnswer: (o - 9)*(o + 1)**3*(2*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-164)\/(-52) - ((-90)\/117)\/(-5). Let -2*m**f + 4\/9*m - 14\/9*m**2 + 0 = 0. Calculate m.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u - 1863077 + 3*u - 8*u + 4*u + 1863077.\nAnswer: -27*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*u + 14 = 0, -u - 3*u = 2*k. Suppose -v + k*j = -15, 3*j = 5*v + j - 21. Let q = 37 + -26. What is the least common multiple of v and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 + 2491\/8. Which is the nearest to -10? (a) r (b) -4 (c) -1\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/16*12\/9. Suppose -v*q = -3*q. Let n(y) = -7*y**2 - 6*y + 3. Let w(z) = -8*z**2 - 7*z + 3. Let f(l) = 7*n(l) - 6*w(l). What is f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6208293 nanograms in micrograms?\nAnswer: 0.0006208293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -711.823 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 42*h = -95 + 1014 + 1519 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2. Let n(s) be the first derivative of -472*s**3\/3 + 400. Calculate p(n(b)).\nAnswer: 668352*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203013 divided by 79.\nAnswer: 203013\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + (-8)\/(-32). Suppose -30 = 93*k - 95*k. Suppose f = -7*j - 1 + k. Solve 0 = -2*b + 10 - j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3082288 - -11466111499\/3720. What is the common denominator of 73\/558 and h?\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2545 is divided by 186?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298147.77 rounded to the nearest one hundred?\nAnswer: 3298100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 10 = 22. Let v be -83 + s*3\/(-9). Let q be 1\/3*v\/(-36). What is the closest to 0.1 in -2, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 1:23 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 265, 313, 395, 511, 661?\n\"Answer: 17*v**2 - 3*v + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*c + 168 = -82*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -93.8 (b) 1 (c) 1\/5 (d) -732 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658*s + 16899 = -265*s for s.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u**2 + 10. Let t(x) = 18*x**2 - 8. Let a = 318 + -313. Let o(k) = a*t(k) + 4*w(k). Let c(y) = 0*y**2 + y**2 + 2*y**2. What is c(o(z))?\nAnswer: 972*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.71 - 5.44. Let z = g - -1.7299897. What is z rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(6 + 0). Let l = p - 5. Calculate the highest common factor of l and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*y + 6 = 0, -17*y + 14*y = -2*v + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5714504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 262.\nAnswer: 261.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/(-30)*3*2. Solve -b*v - 10 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1164 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4954 + 1645 + 1658 - 20048*d + 1651. Let g(j) = -j. What is g(p(i))?\nAnswer: 20048*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 45. Let u = 93 + -105. Let x = u - t. Solve 5*y = x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 + -81. Let d(b) = -b**2 - b + 1. Let l(w) = 10*w + 3*w**2 + 0*w**2 + 3*w**2 - 2*w**2 + 2. Let i(o) = 3*d(o) + l(o). Determine i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*s + 563 = -691. Calculate the greatest common factor of s and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/((-2)\/2))\/1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 1)\/(-12*(759\/(-92))\/33)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 142\/(-7242)*12\/(-2).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(-1)))**(-16))**(2\/53)\/((u*u**(-6)\/u*u*u\/(u*u*u**0*u))\/((u\/(u\/u**(-3\/2)*u*u))\/(u*u**(-4)))) assuming u is positive.\nAnswer: u**(817\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 60, -75, 79?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(1*2*sqrt(720))\/(sqrt(490)*1 - sqrt(490) - (sqrt(10) + (sqrt(250) - 2*sqrt(250)))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 3, -11349, 0, -1 in decreasing order.\nAnswer: 6, 3, 0, -1, -5, -11349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*i - 19, -3*i - 12*v + 18 = -7*v. Suppose 0 = i*m + 8*m - 8740. List the prime factors of m.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjsyjysjjssjsj. What is prob of picking 3 j and 1 y?\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 973783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w - 12. Suppose 7*b = 8 - 71. List the prime factors of p(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**4 + t**3 + t**2 + t - 1. Let c(n) = -8*n**4 + 12*n**3 + 4*n - 4. Let d(h) = -c(h) + 4*p(h). Factor d(w).\nAnswer: 4*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, i: 2, e: 3, q: 5}. Give prob of sequence kq.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 11*n + 30. Let z be s(13). Solve -t + 0 - 10 = z*y, 5*y = -t - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -13, -51, 2, 0 in increasing order.\nAnswer: -51, -13, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -77. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-16) - (10255\/(-20) + 0). Let k = 4595\/9 - g. Let d = -1875 + 16858\/9. Calculate the common denominator of k and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 4*v**2 + 4*v - 3. Let o be (14\/28)\/(1\/34). Suppose -16*r - 2 = -o*r. What is j(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let g(y) = -9113*y + 9099*y - 5 + 8. Calculate g(c(w)).\nAnswer: 14*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) -1\/2 (d) -0.1361 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1759297 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 347*s - 4 - 34.\nAnswer: -347*s - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 23*o**2 - 60*o + 12. Let a = 2478 + -2458. Calculate n(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103231000 (base 4) to base 13\nAnswer: -2a970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.3 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 5. Suppose -2*f - 3*u = 24, 3*u + 22 = -f + s*u. Find the common denominator of -40\/11 and ((-2)\/f)\/(3\/(-183)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 531 - 123 = 0. Let i = 37 + r. Calculate the remainder when i is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38b (base 16) to base 11\nAnswer: -755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/14)\/(414\/966)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1899*y - 1. Let f(m) = -12*m**2. Calculate f(g(c)).\nAnswer: -43274412*c**2 - 45576*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -48*p - 12. Let x = 19 - 13. Let s be b(x). What is s rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -4, 280, 2, 5, 1 in descending order.\nAnswer: 280, 5, 3, 2, 1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4438 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)*f**(-2\/93)\/f)**(-41) assuming f is positive.\nAnswer: f**(8036\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.95324 less than 69.8953?\nAnswer: 98.84854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 3. Let u(k) = -11*k + 5. Let p(x) = -5*g(x) - 3*u(x). Let o(l) = -3*l. Let z(h) = -5*o(h) - 2*p(h). Let f(t) = -26*t. Calculate f(z(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.03441mm in nanometers?\nAnswer: 57034410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155150 = -2*j - 35150. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -16*x**2 - 7*x - 7. Let i(u) = 15*u**2 + 6*u + 6. Let d(f) = 7*i(f) + 6*k(f). Let s(b) = -28*b + 1. Give d(s(j)).\nAnswer: 7056*j**2 - 504*j + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/60 - 7*q**4\/24 + q**3\/2 + 5*q**2. Calculate w(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 71*n + 28*n**2 - 2*n - 41*n + 8 + 8*n**3.\nAnswer: 4*(n + 1)*(n + 2)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**5\/4 + 489*c**4\/4 + 329409*c**3\/4 + 1963959*c**2\/4 + 1796721*c\/2 + 489600 = 0?\nAnswer: -256, -3, -2, -1, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -25. Let h = 3\/7 + -13\/14. What is the closest to d in -2, 0.5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46711.8 - -46713. Put b, -0.1, 0.1 in descending order.\nAnswer: b, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5637? (a) -2\/3 (b) 3 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16985 from -677.094292.\nAnswer: -17662.094292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 580705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1225\/2 + 579. Let q = r - -3013\/90. Is 2\/5 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13793 - 13788. Solve -4*l - 2*k = 107 - 91, -2*l + o*k = 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + v**2 - v + 1. Let c(h) = 11*h**5 + 5*h**3 - 5*h**2 + 11*h - 5. Let b(k) = -c(k) - 5*g(k). Find the second derivative of b(m) wrt m.\nAnswer: -220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**3 - 143*d**2 - 1531*d + 18. What is t(-9)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -821 + 408 + 412 - 2*x**4 + 2*x - 3*x**2 + 7*x**3 to s + b*x + j*x**4 + q*x**3 + a*x**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - t - 169 - 8 = 0, 2*t - 101 = -3*v. What is the remainder when v is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2739289 and 72527.\nAnswer: 5579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyy. Give prob of sequence yy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41013 + 6954. List the prime factors of f.\nAnswer: 3, 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/20 - 11*j**4\/24 - 4*j**2. Find the second derivative of y(p) wrt p.\nAnswer: -36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**3*p**2 - 25*f**3*p - f**2*p**2 - 2*f*p**2 + 3*p**2 + 80 wrt f?\nAnswer: -30*f*p**2 - 150*f*p - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1151 or -18769?\nAnswer: -18769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4642 - -4642. Suppose 8 = 2*b - 0. Let i(d) = d**2 - 4*d - 5. Let f be i(4). Put f, b, z in decreasing order.\nAnswer: b, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000056408 to six decimal places.\nAnswer: 0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*k + 29 = 0, -k + 16 = -4*w + 48. Calculate the remainder when 35 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + -5 + (sqrt(275) - sqrt(275)*-4 - sqrt(275)) + (sqrt(275) + -1*sqrt(275) + sqrt(275))**2 + 4 + sqrt(275) + (0 + sqrt(275)*2)**2).\nAnswer: 150*sqrt(11) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s + 3128 - 3056. What is the remainder when 31 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 4. Let c(k) = -61*k + 9. What is -c(r) - 2*p(r)?\nAnswer: 59*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7*6\/45*63\/(-147)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1211446 is divided by 578.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2*g**2 + g)*(2*g**3 + 0 + 0) + 0*g**4 + 0*g**4 - 428*g**5 + 62*g**5.\nAnswer: -370*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 - 2*s**2 + 6*s**2 + (4*s - 6*s + 0*s)*(5*s - 6*s - s) + s**2 - 3*s**2 + 0*s**2 - s**2 + 0*s**2 + 3*s**2 + 482*s**2 + 358*s**2 - 237*s**2.\nAnswer: 608*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2345*p - 580*p - 580*p - 52*p**3 - 598*p - 587*p.\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - ((15 - -1) + -25 + 23) - 11.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0607129903 rounded to two decimal places?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 8, l: 4, s: 1, n: 1}. Give prob of picking 2 d.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 7*z - 3*z - 6*z.\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 47*k**3 + 3*k**2 - k - 7. Let m(g) = 93*g**3 + 5*g**2 - g - 13. Let z(b) = 3*m(b) - 5*n(b). Find the second derivative of z(l) wrt l.\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 101, 161, 223, 287?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 746 - 251. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 6. Let h be i(0). Let n(f) = -f**3 - 6*f**2 - f - 8. Let y be n(h). Let g be -1 - y\/2*-4999999. Round g to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/3000645 and -101\/50190.\nAnswer: 42009030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10665, 10656, 10659, 10680, 10725, 10800?\nAnswer: 10911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 2:25 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*r - 122*r + 66210 - 66245 to g + p*r and give p.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 134*q**3 + 5*q**2 + 565*q - 1689. Does 4 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1573) + -3 - sqrt(1573))**2*3 + (-4 + (sqrt(1573) - (sqrt(1573) - (5 + sqrt(1573)))) - sqrt(1573))**2 + sqrt(1573).\nAnswer: 33 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -193*k + 570. Let q(p) = -p**2. Determine u(q(m)).\nAnswer: 193*m**2 + 570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 74, 0, -5 in increasing order.\nAnswer: -5, 0, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/26201 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 2\/1433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/74792421 and 65\/2005927.\nAnswer: 523546947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/14985)\/((-14)\/(-42))*75\/(-5)\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0434251587 and -134.\nAnswer: -134.0434251587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2417994 minus 3061860?\nAnswer: -3061860.2417994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3)\/(-4*2\/(-32))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(6*(sqrt(6) - (sqrt(96) + sqrt(6)))).\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -258, -0.1, -82, 1, 47 in increasing order.\nAnswer: -258, -82, -0.1, 0.5, 1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000229867 rounded to six decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22750 and 15250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38986592 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/48)\/((-10)\/1286607). Let x = u - 21448. Find the common denominator of 29\/2 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -2\/17, 0.1, 6\/5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1584 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0534 and -886650815412.\nAnswer: -886650815411.9466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 3*m + 0*m)*(-2*m - m**2 + 2*m)*(0*m**2 + 0*m**2 + 4*m**2) + (2 + 5*m**3 - 5*m**3 - m**3)*(-m**2 + m**2 + 2*m**2).\nAnswer: 10*m**5 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21286186*l - 15742365?\nAnswer: -21286186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1523, -1520, -1517, -1514?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z**(-2\/5)))\/z)\/z)\/z**(-5)*(z**(-6)\/z)**(-8\/9) assuming z is positive.\nAnswer: z**(478\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/60 - f**3\/6 + 15*f**2 + 1. Let d(z) = 12*z**2 - 15. Let i = 23 - 24. What is i*d(u) + 15*s(u)?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - 41 - ((2 - 5) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-741))\/(13\/39).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26.1518 (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 3)*(-3*v + 0*v + 2*v) + (-2938 + 2938 + 57*v)*(-3 + 5 + 2) + 0*v + 0*v - v to f + n*v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - (-38 - (-36 + -40))) + 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -164, -1231, -4108, -9695, -18892, -32599, -51716?\n\"Answer: -150*m**3 - 5*m**2 - 2*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6606 is divided by 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/20*2\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17909877.\nAnswer: 3, 5969959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 2*c - 40. Let g be t(7). Is (-5)\/g*1079\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100021301222 (base 4) to base 8.\nAnswer: -20116152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:15 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 299455.1 litres in millilitres?\nAnswer: 299455100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680490061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i**3 + 25*i**3 - 3*i**3 + 0*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50\/13 + -254\/39. Suppose 2*i - 2*n + 14 = 0, 0 = 5*i - 4*i + 5*n - 17. Which is the second biggest value? (a) v (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28270, -56701, -85132, -113563, -141994?\n\"Answer: -28431*i + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-6)*3 + -2. Suppose c = 5*c - b. Solve -5*v - c = -s + 8, 0 = 3*v + 3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8414*f**2 + 316*f**4 - 8414*f**2 + (-f**2 + f**2 - f**3)*(-4 + 4 - 2*f) to k*f**3 + t*f**2 + w*f + u + s*f**4 and give s.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -553, -1039, -1461, -1819, -2113, -2343, -2509?\nAnswer: -2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 6:49 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16159 + -217?\nAnswer: -16375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 2*d - 3*d)*(2 - d**2 - 2 + 4 - 2*d**4).\nAnswer: -2*d**5 - d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f. Let s(c) = -c**3 + 9*c**2 + 6*c. Let r be s(5). Let j be (-2)\/(-7) - r\/(-35). Solve -3*n + j*t - 1 = f, -2*t - 2 = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -277*a + 384 wrt a.\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -6, 4, -64?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 114. Let s be (4 + 164\/l)\/((-4)\/(-6)). Calculate the greatest common divisor of s and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 35\/2 (b) -0.05 (c) -2\/237 (d) 1\/81 (e) -1\/3 (f) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 49645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5 + 296*m**4 - 10816*m**3 + 54388*m**2 + 10818*m - 54684 = 0.\nAnswer: -1, 1, 6, 49, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-13)*-2 - (-25228)\/3094. Solve 15*q = c*q - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 67*y**4\/6 + 281*y**3\/6 + 489*y. Find the second derivative of l(w) wrt w.\nAnswer: 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 + 736*t**2 - 2956*t + 2960.\nAnswer: (t - 2)**2*(t + 740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -317\/105 + 41\/15. Which is the nearest to -4? (a) -6\/11 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 18 + -16 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 81513634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56572 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 7. Let k be x(-13). Let z be 2\/k + 14\/(-6). Let b be 3 - (-3 - (z + 1)). Let n(h) = -h**2 + 4*h + 2. What is n(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286284637 to the power of 1\/2, to the nearest integer?\nAnswer: 16920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10173221?\nAnswer: 10173221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 40*x**3 + 6*x**2 + 16*x. Let u(h) = -8*h**3 - h**2 - 3*h. What is 11*u(p) + 2*v(p)?\nAnswer: -8*p**3 + p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 200102 (base 3) to base 4\nAnswer: 13301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17736310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 5*f**2 + 3*f - 7. Let v = 21 - 24. Let k be g(v). Factor -3*b + 25*b**4 + 3*b**3 - 54*b**4 + 26*b**4 + 0*b**2 + 3*b**k.\nAnswer: -3*b*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 362 - 356. Let j be (-9)\/g*24\/324. Let m = 0.4 + -5.4. Which is the closest to -1\/3? (a) j (b) 1\/6 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5760))\/(sqrt(200)*-1) + ((sqrt(160) + sqrt(10))\/sqrt(2) + sqrt(5) - (sqrt(720) + 0)) + -3.\nAnswer: -3 - 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 78?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4159413 decades to millennia.\nAnswer: 0.004159413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-11)*(-1)\/(-2). Solve -g + 9 = -5*c, 2*c + 3*g - 2*g - 2 = j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*s - 165 = 0, 4*a = 2*a - 4*s + 102. Let f be 73*5*18\/a - 2. Let r = f - 44. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2454197 and 26190.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + (0 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -894 + 598. Sort -0.1, p, -3\/5.\nAnswer: p, -3\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -29388\nAnswer: 35\/29388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-12)*-1*48\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w\/(w\/w**13))\/w*w*w**1*w**(2\/7)\/(w\/(w\/((w**(-9)*w)\/w*w)*w)) assuming w is positive.\nAnswer: w**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58283 is divided by 5817.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*i + 11. What is the third derivative of 0*q**2 + i*q**3 + 9*q**3 - 10*q**2 wrt q?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 298 + -293. Suppose q*f + 62 = 42. Put -1, -3, f, 17 in descending order.\nAnswer: 17, -1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 43*p - 332. Give h(27).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(20) + sqrt(20))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, -401, -2, -77 in increasing order.\nAnswer: -401, -77, -2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3618 by 3.\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 116 + -113. Let t be (-2 + (-145)\/(-15))\/(1\/b). Which is greater: t or 19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2*j + 0*j)*(2 + 3 - 4) + 99 - 3*j + 5*j - 94 in the form r + y*j and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/30 + (-3508)\/(-15). Let y = 414 - n. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9713 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 - 59. Suppose 3*x - r = -2*r - 8, 3*x = r + 2. Is b at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79644 by 6.\nAnswer: 13274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 = 6*d + 222. Calculate the greatest common factor of d and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.166029 to three decimal places.\nAnswer: 0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -317 (base 13) to base 8\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -8*k - 10. Let l(m) = -3*m - 3. Suppose 287*f + v = 286*f + 3, f - 3 = -5*v. Calculate f*b(w) - 10*l(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487506883.\nAnswer: 19, 2017, 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -2, 0, -282, -1, -6 in increasing order.\nAnswer: -282, -6, -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**10\/15120 + n**6\/120 - n**4\/2 - 10*n. Let h(o) be the third derivative of c(o). Find the second derivative of h(t) wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85650 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -15\/2*i**2 + 1\/20*i**5 + 0 + 1\/3*i**3 - i**4 - i. Does 9 divide f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 21. Let g = -0.7 + -0.3. Let m = g - x. Sort 4, m, 1 in descending order.\nAnswer: 4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*r**2 + 978*r**2 - 490*r**2 + 128*r.\nAnswer: 5*r**2 + 128*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*p + 167*p + 18*p + 26*p + p**5 + 276*p**2 wrt p.\nAnswer: 20*p**3 + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**16*j*j*j\/(j*j**(-2\/7)\/j) assuming j is positive.\nAnswer: j**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 8*m - 1. Let a be s(-4). Let k = a + 25. Let g = 31 - k. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2323 and 2323 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1758, -1211, -648, -69, 526, 1137, 1764?\n\"Answer: 8*n**2 + 523*n - 2289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-22 - -15) - -11.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 92\/(-22) - ((-35)\/11 + 3) - -4. Put -3, 5, 1, s, 6 in descending order.\nAnswer: 6, 5, 1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/120 and -5\/21.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-20*d + 6 - 6) + (2*d + 2*d - 2*d)*(1 - 3 + 5).\nAnswer: 46*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 939023 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 3, k: 1}. What is prob of picking 3 h and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149793 divided by -49.\nAnswer: -3057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(133)*-1 + -2*(sqrt(133) - sqrt(133)*2))\/(sqrt(448) - sqrt(448)*-3 - sqrt(56)\/(sqrt(32)\/sqrt(4))))**2.\nAnswer: 171\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*r**2 + 35*r**2 - 7*r**5 - 3*r wrt r.\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 + 20*c + 1518 = 0.\nAnswer: -23, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-3)*(-9)\/45?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32301*813.\nAnswer: 26260713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 6) in base 14?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 35. Which is the second biggest value? (a) -2\/11 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953777316 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13622*w - 12055*w + 762846 = -7411*w + 324462 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/(p**4\/p))\/p)**(1\/15)*p**(-6)\/p**13 assuming p is positive.\nAnswer: p**(-286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21001 - -1?\nAnswer: 21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v + 3*v - 115. Suppose 0*j - 3945 = -v*j. What are the prime factors of j?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*v + 0 + (-13*v - 3*v + 7*v)*(1 - 5 + 3) + 4 - 4 + 5*v + (2 + 1 + 0)*(v + 2*v - 9*v) + 3 - v - 3)*(1 + 2*v - 1) as m*v + t + x*v**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 8*x + 2216 = 0. Let d = x - -447. What are the prime factors of d?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 45. What is the remainder when s is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 + 344. Suppose 4*b = o + 93. Let u be 19*2 - (-6)\/3. Calculate the greatest common factor of b and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 184462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r - 4. Let k = -631 - -18298\/29. Let i = -2 + 1.5. Which is the second biggest value? (a) k (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/4)\/(1\/2). Let k be ((-45)\/24 - -2)*1. What is the closest to 2\/7 in r, k, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 0 + 0*s**3 + 0*s - 1\/150*s**5 + 1\/60*s**4 + 2*s**2. What is x in o(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqwqquqqquwuq. What is prob of picking 2 u?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*j - 48 + 126, -2*z = 3*j - 27. Which is the closest to z? (a) 0 (b) -4 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14820198 and 6990?\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46635095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.6052379 to three decimal places.\nAnswer: -12.605","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 5\/126*b**7 + 5\/18*b**3 + 6*b + 0*b**6 + 0*b**2 - 1\/6*b**5 + 0*b**4 + 0. Factor h(n).\nAnswer: 5*n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/7 + 30*x**3\/7 - 78*x**2\/7 + 74*x\/7 - 24\/7.\nAnswer: -2*(x - 12)*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -44\/35711149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13719575 is divided by 6859783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 11:20 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12103\/28 + -14 + 3\/(-12) and 76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*w = 7, -4*w - 17 + 4 = -u. Let l be 1*1\/u - -1. Let q = l + -5. Which is greater: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 707*m**2 - 5*m + 2*m - 704*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6576279?\nAnswer: 3, 2192093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/77760 and 6\/35?\nAnswer: 544320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -34. Suppose 0 = b*d - 15*d. Suppose -3*y - 4*w + 8 = 0, 0 = 6*y - 9*y - w + 2. Solve d = -5*x - 10 - y for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, -0.09, -2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430097 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 - 35*r + 37. Let m be v(18). What is the highest common divisor of 33 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 363944178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -764*y + 788*y - 24 = 0. Which is bigger: y or 16\/173?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**2 + 3*a**2 + 4*a**2 + 4 - 60716*a**2 - 4 + 84686*a**2 + (-3*a + 6*a + 0*a)*(0*a - 4*a + 2*a).\nAnswer: 23965*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 117.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 3768*c**2 - 11 - 63492*c**3 + 63491*c**3 as d*c**2 + u*c**3 + b*c + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -173913215?\nAnswer: 695652860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - p**2 - 11*p**4 - p - 3*p**3 + 12*p**4 to z*p**2 + d + l*p**4 + o*p + g*p**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 13*t**3 - 7 + 18*t**3 + (2*t**2 + 4*t - 4*t)*(2*t - 3*t + 3*t).\nAnswer: 9*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 3*s**2 + 10*s - 72. Calculate k(5).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 18*h - 82. Give f(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**3 - 145*r**2 + 75*r + 45. Give z(-73).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24552 and 528.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/79 and -19\/9.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1\/b*b)**24*(b**(-2)\/b*b)\/b**(-6)*(b**(-7)*b*b**(-2\/9))\/(b**(-2\/11)*b**2\/b) assuming b is positive.\nAnswer: b**(4451\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 303, -3, -1124.\nAnswer: -1124, -3, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - (2 + (-2 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 9:32 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*d - 17*d + 8 = -4*m, -2*m - 4*d - 26 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27205 + 27204.7. Let x = -2 - -2.1. Let t = x - -0.1. What is the biggest value in b, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2216219635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10716\/912 - (0 + 1\/(-4)). Calculate the greatest common factor of f and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d\/d**(3\/7))\/d)\/d*(d\/d**(-2\/7))\/d)\/(d\/(d*(d**(-3)*d)\/d)*d**7) assuming d is positive.\nAnswer: d**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33 (base 9) to base 8\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(343)*-3)**2 - (2 + 3 + sqrt(343)).\nAnswer: -7*sqrt(7) + 6169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.7 - 7.9. Let x = t - -4.155. Let u = -0.0417 - x. What is u rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 13*v**6\/120 + v**4\/4 + 5*v**2. Find the second derivative of r(o) wrt o.\nAnswer: 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 410 - 2060. What is the highest common divisor of 110 and i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + 21*y**3 - 2*y**2 + 1 - 18*y**3 + 2*y - 5 + 20*y**2 + 9*y**2 in the form g*y + a + w*y**4 + h*y**3 + l*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8819cc + 2d?\nAnswer: -88199e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 0*r**3 + 1\/2*r**4 - 3 + 0*r + 0*r**5 + 0*r**2 - 1\/3*r**6. Factor w(i).\nAnswer: -2*i**3*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 t when two letters picked without replacement from cccccctccccctccctccc?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**8\/2016 + j**7\/21 + 281*j**6\/720 + 11*j**5\/12 - j**2 + 130*j + 4. Find t, given that u(t) = 0.\nAnswer: -55, -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3072) + sqrt(3072))**2 + 4 + -6*sqrt(528)\/sqrt(539).\nAnswer: -24*sqrt(3)\/7 + 27652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4950 by -495.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 5*i**2 - 5*i + 2. Let c be r(3). Suppose c = 2*m + 5*g, -2*m - 4*g + 2 = -0. Calculate the common denominator of m and -77\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331 (base 5) to base 6.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5488753 to 2 decimal places.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3 - z + 2*z + 1. Suppose -3*n = -5*g + 9 + 76, -2*n + 70 = 3*g. Let k be g\/(-8)*16\/10. What is r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7149036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + 53 - (-23 + 15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.94 + 0.14. Let r = y + 0.7. Sort 0, -1, r in decreasing order.\nAnswer: 0, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-3)\/(-120)*-2). Solve -a + 4 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 85\/(-75) + -1 - 14\/(-105). Sort 2, l, -7.\nAnswer: -7, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p + 20. Suppose 3*i = -p*t + 4, 4*t + 16 = -5*i + 3*t. Sort -2, i, -10 in descending order.\nAnswer: -2, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -0.2, 0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = -20*w - 4*v + 26156, -130876 = -5*w - 4*v. Is 55 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03803? (a) 2\/3 (b) -0.2 (c) -3 (d) -9 (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9577538 less than -23261310?\nAnswer: -13683772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a - 11*a)*(7*a**4 + 13*a**4 + 30*a**4) + 2*a**5 + a**5 - 4*a**5.\nAnswer: -601*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 301874 - 0.023550742?\nAnswer: 301873.976449258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/5))**(-30)*v**(-11)*v**(2\/9))**(-12))**(14\/9) assuming v is positive.\nAnswer: v**(26600\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 4*j - 17*j - 9*j + 1 in the form w*j + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 335.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.640664 rounded to 1 dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyhyhhhhhh. Give prob of sequence hhh.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.06796 to one dp.\nAnswer: -78.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 7:04 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 - 3*j - 7. Give r(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -7 + 17 - (3 + -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**2 - a**2 - a**2 + (0 + 4 - 2)*(-569*a**2 - 518*a**2 + 1425*a**2) - 4 + 4 - 2*a**2 as s*a**2 + f + n*a and give s.\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12664 - 3787. List the prime factors of k.\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**4 - s**4 + 0*s**4 + 2*s**3 - 2*s**3 + 3*s**4 + (-6 + 2 + 2)*(-s**2 + s**4 + s**2))*(-3*s + s + 4*s).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*q**3 + 1 - 1.\nAnswer: -129*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-18) + (-42)\/(-9). Solve 2*c - p*c = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4700 - 4699.682. Round x to three dps.\nAnswer: 0.318","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.21674 - 0.09374. Which is the biggest value? (a) -5\/3 (b) -3\/2 (c) 3\/7 (d) n (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -10*h + 13*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10396738.21 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14078 = 125*x - 15453 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1196489616.\nAnswer: 2, 3, 7, 3560981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 16*g**2 + 15*g - 7. Let k be x(-14). Let n = k + -174. Let f(d) = -d**2. What is f(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + 31. Suppose x + 3 = -1, 4*o + x = -4. Suppose -2*m + o*m + r = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221314 is divided by 211?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3933 and 21261?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278360847?\nAnswer: 3, 137, 75253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -167 (b) -2 (c) -5 (d) 0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.1 (b) 0.5 (c) 0.3 (d) 50.7 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -49. Suppose -3*i - 56384017 = f, 0 = 3*i - 0*f - s*f + 56384005. Let t = i + 994671. What is t rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12887 is divided by 179?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -10*k**2. Let z(n) be the first derivative of -2*n**3\/3 + 8. Calculate z(f(t)).\nAnswer: -200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 - 65812*j**2\/3 - 174075958*j + 106074821328.\nAnswer: -2*(j - 568)*(j + 16737)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 342535 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23743344 by 136456.\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/5)\/((-56)\/(-70))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-one quarters of a minute?\nAnswer: 915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v - 1. Let k be l(5). Let j = -0.7 - 0.3. Which is the closest to j? (a) k (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-8) - 27\/(-12). Let x(y) = 43*y**2 + 2*y. Let n be x(-2). Suppose 0 = -2*m + 2*b + n, -a*m - 3*m - b = -450. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2*x - 13, -x + 3*q + 17 = -0*x. Let y = x - 4. Suppose -4*s - y*r = -28, 0*s - 5*r = 3*s - 21. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 100*d + 101. What are the prime factors of j(10)?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooioooioioiiooiiioio. What is prob of sequence ioo?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 20 = -5*b, -2*b - 17 - 2 = -5*z. Suppose 3*j + 10 = z*j. Suppose -p - j = -6. Let v(h) = -5*h**3 - 2*h + 1. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.8278577 - -1.\nAnswer: -4.8278577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103310?\nAnswer: 2, 3, 5, 13, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -58 (c) -0.4 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + 2*d**2 + 0*d**2 + (-147 - 4*d + 147)*(-2*d + 4*d + 200 + 230) in the form z*d + t + r*d**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 147*s**3 - 2*s + 84*s**3 + 177*s**3.\nAnswer: 408*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 10 - 58. Find the second derivative of -49*c - 117*c - 11*c**5 - v*c**5 - 46*c wrt c.\nAnswer: -540*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 7:39 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/8 (b) -19613 (c) 5\/2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5\/6*u**3 + 3*u + 0 - 1\/2*u**2. What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18891827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3291.\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2011 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 1, n: 2, c: 1, u: 1, b: 1}. Give prob of sequence umnu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -70 and 509.04.\nAnswer: 439.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w - 43*w**2 + 5996*w**4 - 5995*w**4 - w to i + s*w**3 + z*w**4 + g*w**2 + p*w and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/148489 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/19656 and 73\/63154.\nAnswer: 6820632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 19*o - 42. Let w be p(14). Let d(f) = w*f + f**2 - 14*f - 14*f. Let u(q) = 18*q**2. What is u(d(b))?\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5496*k**2 - 15*k - 5496*k**2 + k**3 + 3*k**4 to the form q*k**3 + a*k + v*k**2 + s + d*k**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 58. Let m be -2 + 2 + 0 + 3. Does 21 divide r + 14 + (m - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:02 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: de1ba6 (base 15) to base 7\nAnswer: 155661546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 7:12 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/6 - 3*b**2\/2 + 4*b. Let o(z) = -6*z. Let g be o(-1). Let v be n(g). Solve 21 = 4*p - 5*j, v*p = p - 5*j + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396186 is divided by 11317.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000583385241 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17739\/(-365) - 27\/(-45)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179250 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a = -265242 - 43942. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 828.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 31017*i**3 + 0.\nAnswer: -31017*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 6:24 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -253*n + 2 - 2 - 2. Let l(c) = c**2 - 2*c - 25. Let g be l(-4). Is q(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/3 + -5. Let s = 1.8 + -2. Which is the third smallest value? (a) 1\/7 (b) 0.3 (c) s (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078424029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3 in -4, 2, -16\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 321363461 + 10?\nAnswer: 321363471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/924 + 10\/(-105).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -997, -4054, -9129, -16222?\n\"Answer: -1009*b**2 - 30*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - k. Let q be s(-1). Let v be 26\/(-4*q\/2). Suppose -v*o = -10*o + 9. Which is greater: -7\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1740 by -12.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 194739583, 194739587, 194739591, 194739595, 194739599, 194739603?\n\"Answer: 4*c + 194739579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38959 is divided by 9386.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 49*m**3\/6 + m**2\/2 - 57*m. Let c(b) = -5*b**2. Calculate v(c(k)).\nAnswer: -245*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -64. Let v = -659904021.0000027 - -659903978. Let n = y + v. What is n rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**3 - 2*t**3 - 2*t**3 + (-t - 2*t**3 + t)*(1 - 5 + 3))*(148*t - 144*t - 3 + 5).\nAnswer: 12*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 9*q - 14*q. Suppose 0 = q*o - 3*o - 3. Suppose w + 3*f = 4, 5*f = -3*w + 27 - o. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**4\/24 - d**3\/6 - d**2. Suppose 0 = -2*n + 4*l - 6, -3*n + 9 = 2*n - 4*l. Let i be p(n). Solve -f - i = -3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -8*n**3 + 1. Let y(i) = i**3 - i**2 - 2*i - 1. Let j be y(0). What is k(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 + 2*o + 1. Suppose 0 = 2*r - 4*r - u + 23, -4*r + 49 = 3*u. Let x(j) = j**2 - r - j - 1 + 10. Suppose h = 2*h - 1. What is h*w(p) + x(p)?\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**4\/4 - s**3 + s**2 + 6*s + 10. Let y be c(-4). What is the first derivative of -y + b**3 - 16 + 28 wrt b?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 8:08 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (-3 + (-2 - 14))) + -17 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**6\/n*n**(-7)*n*(n**1)**(-3\/40))**(1\/6) assuming n is positive.\nAnswer: n**(-1\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55386, -55397, -55408, -55419?\n\"Answer: -11*y - 55375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4 - 207*h**3 + 1054*h**2 - 1272*h = 0.\nAnswer: -212, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s = -15*s + 160076. Suppose 6*b + 551 - s = 0. Is 37 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ac (base 15) to base 3.\nAnswer: 112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -76352a (base 13) in base 8?\nAnswer: -12461441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1097*x - 1096*x = 11 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 484*0.3091\nAnswer: 149.6044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 3:09 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 0)\/(12\/(-8)). Which is greater: 3 or l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.2, 13\/56460 in decreasing order.\nAnswer: 0.2, 0.1, 13\/56460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.004, 1, 0.3, -4 in ascending order.\nAnswer: -4, -0.004, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 10*x**2 + 11*x - 8. Let q be d(-11). Let v be q\/(-12)*54\/4. What is the highest common divisor of 45 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -4*s - 4*p = 0, q*p = -p - 5. Suppose 0 = s*a - 29 + 4. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {m: 1, y: 1, p: 2, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72120416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 42 + 9. Suppose -5*f = 7 - m. What is the derivative of -523*v - 10*v**f - 16 + 523*v wrt v?\nAnswer: -20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kookoafhohkhobo. Give prob of picking 1 b and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467680 equal to 1467686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.334 + -0.332916. What is a rounded to 5 decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*22\/1760*-8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 5*b + 3. Let m(u) = u**2 + 6*u + 4. Let y(t) = -2*t**2 + t. Let j be y(2). Let d be m(j). What is the units digit of k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-2))\/((-4)\/(-24)). Solve -2*x - 21 = -3*y, -9 = -u*y + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51867 and 4131.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43 + -0.73. What is the nearest to p in -7, 0.3, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 655365 to the nearest ten thousand.\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 3*w - 4. Let k be h(4). Suppose 4*l - 8*l + 28 = k. Suppose -t - 2*s + 23 = 0, -l*s = 3*t - 2*s - 64. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1753 + -1752. What is the closest to c in -3\/5, 5, 5\/3, -5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/3 - (-4)\/(-6). Let l(b) = -b**3 - 2 + g*b - 1 + 4 - b**2. Let f be l(-4). Solve 2*t + f = 7*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -515*c**2 - c - c - 8 - 2*c. Let l be b(8). What is l rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 38*i**2 - 3631*i + 1981. Give d(95).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 115, 2, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r + 282 = 272 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3885454076 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 25330.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -230059028 rounded to the nearest one hundred thousand?\nAnswer: -230100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -11\/679?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 39*v**5\/20 + 3*v**3 + 67*v**2. What is the derivative of x(t) wrt t?\nAnswer: 234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 195*h**2 + 26*h**2 + 123*h**2 + h.\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 9. Let i(z) = -z**3 - z**2 + 6*z + 9. What is the remainder when 63 is divided by i(t)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*m + 42*m - 2*m**2 - 202*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*l - 7, 11 = 2*l - 3*w + 4*w. Suppose 20 = 5*j, 3*c + 2*j - l*j + 2 = 0. List the prime factors of -4 + c - -2 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -137 - -141. Suppose 5*d + 7 = 22. Let u = -1 + 2. Put z, u, d in ascending order.\nAnswer: u, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 3, 2, 0.1 in ascending order.\nAnswer: 0.1, 2, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(1872)*1 + sqrt(1872) - (sqrt(1872) - (4 + sqrt(1872) + sqrt(1872) + 0))) - (-4 + 6*(-1 + sqrt(1872)) + -4))**2.\nAnswer: -1368*sqrt(13) + 17209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 36\/633065 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 314*m**2 + 5*m - 4. What are the prime factors of q(1)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3736215 (base 8) to base 2.\nAnswer: -11111011110010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7660 and 7300.\nAnswer: 2795900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 13. Let u(o) = 6*o - 44. Let b be u(8). Suppose b*h = 73 + 59. Suppose -h = -47*d + 50*d. Give v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 4, x: 3, c: 2, z: 6, f: 4}. Give prob of sequence xzx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 536142.7 decades to years.\nAnswer: 5361427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 - (10 - 15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 11:05 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*d**5 - 11938*d**4 + 51*d**3 - 53*d**2 - 193822*d - 8?\nAnswer: 1320*d**2 - 286512*d + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2202032 (base 4) to base 14.\nAnswer: -3ad8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 162 - 113 = -5*l, -3*l = 3. Is m < -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdts when four letters picked without replacement from {r: 4, s: 3, p: 2, t: 6, d: 4}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from equqqeqqee. Give prob of sequence qeu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -74. Let d = -16 + f. Suppose d = t + 3*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 3*t + 5. Determine i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 8. Let w be 7\/5 + -1 + 22\/(-55). What is i(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224316 divided by -93?\nAnswer: -2412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -206*v**4 - 248*v**2 - 663578?\nAnswer: -824*v**3 - 496*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63*k**3*q - 19*k**3 + k**2*q - 124*q + 486 wrt k?\nAnswer: -189*k**2*q - 57*k**2 + 2*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11537727, 2 in decreasing order.\nAnswer: 2, -5, -11537727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 5. Let i be l(-4). Let w = 66 + i. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94968329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 26*a + 135. Let q(c) = c**3 + c**2 - 2*c + 10. Let f be q(0). Is 28 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-650)\/104 - 1\/(-4) - -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -30*q**2. Suppose 19*y + 58 = 20*y. Let f = y + -57. Let x(d) = f - d - 1 - d. Calculate s(x(h)).\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 229 + 9*o - o - 238 - o**2. Let z be h(6). What is the second derivative of 21*q**2 + z*q**5 + 18*q + 4*q**5 - 21*q**2 wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 959149805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20998 + 20997.35046. Let f = 0.65 + i. 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: List the prime factors of 2722832.\nAnswer: 2, 7, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 - -41 - 4\/1 is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 71*o - 922. Give b(16).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*n**2 - 112*n**2 - 104*n**2 - 314*n**2.\nAnswer: -466*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28182.\nAnswer: 2, 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1085, 2\/7, -5\/152.\nAnswer: -1085, -5\/152, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3*15*(6\/18)\/((-8)\/(-24))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1966.6 times 0.83\nAnswer: -1632.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llu when three letters picked without replacement from llullluluullu?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**3\/2 - 8*q - 30. Let n(m) = -2*m - 789. Give n(r(z)).\nAnswer: -6*z - 789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {e: 1, r: 1, j: 1, c: 2, g: 1, n: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -6*w + 1\/15*w**5 + 0*w**2 + 0*w**4 + 0 + 1\/3*w**3. Let a(f) be the second derivative of i(f). Let t(n) = 2*n. Give a(t(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 29579.16096 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*sqrt(931)*1*-4 + 2 + 0 + 1.\nAnswer: 3 + 140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46305844 and 2?\nAnswer: 46305844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3002?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(5\/((-25)\/2)). Suppose a*b - 11 = -h, 2*b + 3*h = -0*b - 6. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = 3*u + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 106317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73600 and 560.\nAnswer: 515200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/307510 and -3\/10696.\nAnswer: 1230040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 541469303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 3*q**3 - 4*q**3 + 0*q**3 + 4*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 3*s**2 - 4*s + 2. Let b be f(-4). Let r be -9*-2*1\/(-6). Let y be r\/(-1) + 1 + 1. Solve -y = 3*i + b*l, -2*i + 2*l - 35 = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -407, -2, 3, -31, 5.\nAnswer: -407, -31, -3, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -363.5 take away 2010950?\nAnswer: -2011313.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -5 (c) 2\/9 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 418173 and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25165 + 72951. List the prime factors of u.\nAnswer: 2, 23893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5044*m**2 + 4*m + 5. Is x(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n + 2*n - 315. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**8\/168 + z**7\/168 - 41*z**3\/3 + 35. Let r(d) be the third derivative of g(d). Let r(c) = 0. What is c?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 + 6*o. Let y(s) = 320646*s. Determine f(y(r)).\nAnswer: 616883143896*r**2 + 1923876*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = -3. What is the second smallest value in -0.5, -0.13, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -19*q**3\/6 - 16*q. Let j(u) = u**2. Determine j(z(h)).\nAnswer: 361*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/192 and 119\/96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q + q - 1 - 4*q + (464*q + 21*q + 164*q)*(3 - 3 - 1) as p + u*q and give u.\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 14 = -0*m + 2*f, 2*f = -2*m + 10. Solve -5*q - 14 = -m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4. Suppose 3*g = 5*k + g, 2*g = m. What are the prime factors of 0 + 1 + (1 - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 times -7?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 249a20 (base 16) in base 8?\nAnswer: 11115040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 0*q + q + 9 - 4*q + 4*q. Let w be k(-10). Let n(d) = -14*d - 4. Calculate the remainder when 38 is divided by n(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 112*j + 3148. Calculate u(-134).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*o - 214*o - 39*o.\nAnswer: 17*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119542 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 34*m. Let q(j) = -4*j. Give q(p(i)).\nAnswer: -136*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*r**2*x**3 + 2*r**2*x - 347*r**2 + 2*r*x**2 + 4*r + 9*x**3 + 45*x**2 wrt r?\nAnswer: -54*x**3 + 4*x - 694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, 18, 2\/19.\nAnswer: -0.3, 2\/19, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 3\/8, -1, 5, 7\/6 in decreasing order.\nAnswer: 66, 5, 7\/6, 3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swjv when four letters picked without replacement from jwhhsvk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 3*l**3 + 13 + 4*l**2 - 3*l**2 - 4*l**3 + 7*l as g*l + q*l**2 + k*l**3 + t and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/121712 and -67\/90538514.\nAnswer: 724308112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 2496362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(459)*-1 - sqrt(459)))\/sqrt(9))\/(-5*sqrt(27)*6).\nAnswer: sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2879 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**2 - 6*n + 6. Let z(g) = g**2 - g + 1. Determine 2*l(j) - 14*z(j).\nAnswer: 10*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-200))\/((2970\/(-75))\/(-33)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 2. What is o(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(1\/28)\/n*n)*n)**(-10)\/(n**(1\/15)*n*n*n\/(n**(-2\/3)\/n*n)*n*n*n*n) assuming n is positive.\nAnswer: n**(-7849\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, m: 2, s: 1, r: 2, d: 2}. Give prob of sequence md.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 27*g**2\/2 - 33*g - 50. What is the derivative of t(s) wrt s?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = 157. Let b(i) = i**2 - 2*i - 141. Calculate the lowest common multiple of s and b(13).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/4*(-25070)\/(-3270)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 + -134.9. Let g = p - -27. Which is the closest to g? (a) 1\/8 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 2\/17, 0, -4, 2 in descending order.\nAnswer: 14, 2, 2\/17, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -143, -154, -167, -182, -199, -218?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 196*a**3 + 192*a**3 + 195*a**3 - 592*a**3 - 961*a**2 - 10*a**5 wrt a.\nAnswer: -600*a**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*u - 72 = -293*u. Let d(v) = -v**2 - 9*v - 21. Let x be d(u). Which is the closest to 2\/3? (a) -1\/6 (b) x (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:51 AM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d - 4*d**2 - 2*d**2 + 3*d**2 - 8*d wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143990 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, -4\/9, -0.02, 13\/4, -2695, -1.4, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 19224 = -2*b - 11*r, -4*r - 38424 = -4*b. Calculate the highest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from {r: 10, l: 1, i: 4, m: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 772931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/(-245))\/((-6)\/10))\/((-6)\/(-36))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 278341514 * 0.3\nAnswer: 83502454.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*o - 21, -27*k - 18 = -31*k + 2*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 9*f + 10. Let i be v(5). Suppose -328 + i = 4*a. Let u = -37 - a. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -89. Let f = 36 - q. Let m = 4 + 0. Solve 2*s = -2*n, -m*s + n + 0*n + f = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b + 10 = 0. Let d = -162 + 44. Let g = -118.4 - d. What is the closest to b in g, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 164*w**2 + 164*w**2 - 11*w**3 to the form z*w**2 + j + p*w + x*w**3 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*p**4 - 840*p**2 + 156107*p.\nAnswer: -420*p**2 - 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**2 + 160 + 29 - 90 to the form d*b + q*b**2 + a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 6, j: 1, z: 4, e: 3, h: 4}. What is prob of picking 1 h, 1 z, and 1 j?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(180) + 0 + sqrt(5) + 2 + -4) - (-1 + ((sqrt(60)*1 + sqrt(60))*-2)\/sqrt(12)))**2.\nAnswer: -250*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express t**3 - 131 + 264 - 134 - 6*t**2 + 2*t - 3*t**4 in the form x*t**4 + l*t**3 + u + z*t + j*t**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106987802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -116880000 rounded to the nearest one million?\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 9*o - 26 = 0. Let m(s) = -s - 8. What is the smallest common multiple of m(o) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9068981037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3*w**2 - 134*w + 0*w**2 + 5.\nAnswer: -3*w**2 - 134*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o - 2*d = 6, d + 3 = -4*o. Which is the nearest to -0.3? (a) 0.3 (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 488.943 - 489. Does u = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 6 + 0)*(-9*c - 6*c - c)*(1 - 2 + 0).\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 106355?\nAnswer: -3\/106355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-42)\/(-12) - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -324*h**4 + 72*h**3 + 1292*h**2 - 288*h + 16 = 0?\nAnswer: -2, 1\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -137407b?\nAnswer: 1374082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/72 + (-117554)\/88896 + 3. Let g = -1\/1852 + v. What is the common denominator of -39\/80 and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 196*q**3\/3 - 136*q + 227. Differentiate z(s) with respect to s.\nAnswer: 392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from {p: 5, g: 4, z: 4, l: 2, c: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454265016.\nAnswer: 2, 3, 617, 30677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16*h**3 + 2*h**2 + h. Let p be t(-1). List the prime factors of (-1 - 26)\/(p\/20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -93682?\nAnswer: 93688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 806710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31974250 + 366.\nAnswer: -31973884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 6*d + 3, -4*v + 36 = -4*d. Suppose v = -2*c + 22. 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: Suppose -3 = 3*p + 24. Is p less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1809 = -2*l + l. Let c be l\/3 + -3 + 6. Let o be (-575)\/(-4 + (-2403)\/c). Round o to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1086 - 532.8914. Let u = b - -533.3. What is the third biggest value in -2, u, 0.03, 3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 6 + 4*x**2 - x**4 + x**3 - 3*x**2 + 2*x**4 in the form q*x**3 + i*x**4 + w + l*x + r*x**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4539)\/(-306) - (-10)\/(-12) and -99\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 6, -3\/7, -4, 0.1, 3, 4\/9 in decreasing order.\nAnswer: 6, 3, 4\/9, 0.1, -3\/7, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -11?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 40777555152171 plus -5?\nAnswer: 40777555152166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/25, 1\/4, -0.0411 in decreasing order.\nAnswer: 11\/25, 1\/4, -0.0411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 92*q**2 + 96*q - 2. Give o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 1.2 (c) 0.02 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-20))\/((-2)\/(-1636)). Suppose 3*t - 2*k = r, -2*t + 6*t + k = 538. Which is bigger: t or 134?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-4) - 69\/(-6). What is the first derivative of 3 - 20*w**3 + j + 7*w**3 wrt w?\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/3)\/(4\/6)*-6. Let k(x) = x**2 - 12*x + 8. What is the remainder when 23 is divided by k(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (384\/(-252))\/(-16)*15\/(-25).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*k + 225 = -494*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 425.83 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4970.\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46913, 93826, 140739, 187652, 234565, 281478?\n\"Answer: 46913*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2698011625 and 0.4.\nAnswer: -2698011624.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8188 divided by -5\nAnswer: 8188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13323*p**2 + 15*p + 3. Let j(d) = -19985*d**2 + 24*d + 5. Give -5*j(n) + 8*t(n).\nAnswer: -6659*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -8*z + 48. Let y be s(-38). What is the greatest common factor of 32 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28049580 or 84148744\/3?\nAnswer: 28049580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**8\/504 - k**7\/315 + k**6\/90 + k**5\/45 - k**4\/36 - k**3\/9 + 6*k**2. Factor y(l).\nAnswer: -2*(l - 1)**2*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -760, -1728, -3084?\nAnswer: -4828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 16. What is the nearest to y in 4, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(v**3 - v**3 - 2*v**3) - 3*v**3 - 2*v**3 + 4*v**3 + v**3 - 8*v**3 + 0*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4567\/28 + -649\/4. Let d = 2134\/3759 - -2\/537. Factor d*s + w - 2\/7*s**2.\nAnswer: -2*(s - 3)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601802767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 8*o**2 - o + 1. Let a = 22 - 15. List the prime factors of f(a).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 222740683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 2*k - 9*k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 391*u**2 + 125*u - 616. Determine h(-130).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 2. Let s be x(-5). Let n = -84509 + 84512. Solve g - n*w - 1 = -s*w, 0 = 4*g - 4*w - 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -351 divided by 27?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 2 - 4 + 35*s**2 - 5 wrt s?\nAnswer: 70*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24 and 151\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 271546142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -56898 times 3\nAnswer: -170694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 48*a - 1082. Suppose -2*q = -0*q - 6. Is 17*(q - a\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11 and 35\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -40, -176, -396, -694, -1064, -1500?\n\"Answer: q**3 - 48*q**2 + q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + -12200?\nAnswer: -10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -2 - (2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -355, -775, -1371, -2149, -3115?\nAnswer: -4275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -97741 divided by 10\nAnswer: -97741\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91083448?\nAnswer: 2, 11385431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12 - -3) + (-6)\/24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:58 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93\/8 - -845\/72. Let a(g) be the second derivative of -g + 0*g**2 - 1\/9*g**3 + 0 + t*g**4 - 1\/30*g**5. Factor a(z).\nAnswer: -2*z*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11531920717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y. Let i be x(1). Let o = -2816 - -2813. Let u be 4 - (3 - 6\/3). What is the nearest to -1 in o, u, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015818402 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -160734 divided by 267\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 13 = -3*n, 23 = -5*n + 7*h - 5*h. Let r(z) = 6*z**3 - 2*z**2 - 6*z + 5. Let f(p) = p**3 - p + 1. What is n*f(v) + r(v)?\nAnswer: v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 882 = 2*s. Let v = s + 216. List the prime factors of v\/7*(-210)\/(-45).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7905.21 to the nearest ten.\nAnswer: -7910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 6) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18\/21)\/((-521)\/(-10941))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*n - 2, -8 + 1 = -z + 2*n. Suppose -10 = -5*x, 2*m + 0*x = x + 8. Let g = m + -3. Calculate the remainder when g is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -32\/632293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7aa + 82?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3 - 0) + (-444)\/(-66) and -73\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*m + 5*l, -5*m + 570*l + 61 = 574*l. Solve -51 = -8*o - m*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 15, 4*r = 2*q + 2*r - 30. Let a be 24\/(-2 + 5)*9\/q. Suppose -5 - 7 = -2*z. What is the greatest common factor of z and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -9, 254, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**5\/20 - 25*b**4\/12 - 5*b**3\/6 - 18*b**2 + 133*b. What is the remainder when j(-25) is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 193*w**2 - 4627*w + 1185. What is b(165)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*n = 5*o - 18, -5*o + 1 = -3*n. Suppose x = -o*l - 5, -4*l + 4*x - 9 - 19 = 0. Sort -1, l, -9.\nAnswer: -9, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222432 (base 6) to base 15.\nAnswer: -5845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k + 79. Let o(j) = 8*j + 75. Let l(v) = -5*f(v) + 6*o(v). What is l(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 30 = x - 12, -3*g - 3*x + 21 = 0. Suppose -19 = g*d - 24. Let q = -6.03 - -6. Which is the nearest to d? (a) 0 (b) -0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, 1\/13, -31919086?\nAnswer: -31919086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide (-2)\/23 - (-74)\/((-6808)\/(-5177124))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 14*g + 14. Let h be a(-7). Let v be ((-4)\/3)\/((-7)\/h). Let p = v - -17. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a85c (base 13) to base 11.\nAnswer: 551369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 6*w. Let i be (-1)\/(-1) - (4 + -2). Let k = 94 + -43. Let d be i\/(-3 + k\/18). Give q(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 21*o + 47. Calculate the remainder when 38 is divided by c(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972353.2 litres to millilitres.\nAnswer: 972353200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = r, r = -5*d + 2 + 10. Suppose -f + d*f = 357. Suppose -474 = -2*g + 2*v, v + f = 4*g - 579. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1839772 years?\nAnswer: 0.01839772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2262135219?\nAnswer: 3, 754045073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 64, 97, 154, 241, 364?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 2:14 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15\/284242 (b) -1 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3956109 is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6.08 times -5\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**13*l*l\/l**2)**(-42)*(l\/l**(3\/2)*l\/(l\/l**(3\/5)))**(-2) assuming l is positive.\nAnswer: l**(-2731\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/1890 and -23\/2646.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1249 - -1252. Let r be 0\/(1*-1) - 2. Is r at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 4, -52, 175, -5, -1.\nAnswer: -52, -14, -5, -1, 0, 4, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 662624 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9781, -8, -2 in decreasing order.\nAnswer: 9781, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/21 + 12\/(-9). Let o(u) = -25*u. Let z be o(b). What is the highest common factor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-9) + 29\/9. Suppose -u = 15*u - 32. Solve n*h = h + u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, 1 j, and 1 g when four letters picked without replacement from {q: 5, g: 8, o: 1, j: 4}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from howwaooowoyhhh. Give prob of sequence ohy.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-12)*(-748)\/561.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 + 2780*h**2 + 116435*h - 243950.\nAnswer: -5*(h - 595)*(h - 2)*(h + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-8)\/24*3*(-5858 - -5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3 + 1) + 3. Suppose v = 3*v - i. Suppose -59 = -d + 4*o - v*o, -d + 75 = 2*o. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 306 + -282. Suppose -1 - 22*g**3 + f*g**3 + 0*g + 1 + 10*g**2 + 8*g = 0. What is g?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 + 113. Let c = 78247507 + -78247559.999969. Let y = c + w. What is y rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957440317.\nAnswer: 1741, 549937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 56*c + 14. Let m(j) = 19*j + 5. Suppose -7 = 2*f + z, -2*z - 4 = 2*f - 0*z. Let u(t) = f*w(t) + 14*m(t). Let r(d) = d. Determine u(r(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -4\/7, -2, 0.1, -19\/11, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - 31. What is the lowest common multiple of 6\/2 - (-1 + 1) and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1664 + 1671. Solve -b*j + 7 = -5*j + 5*w, -5*w + 4 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 371\/94?\nAnswer: 371\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(2\/(1\/1)). Let y(s) = 1. Let c(z) = -z - 18. Let f(p) = x*c(p) - 6*y(p). Let k be f(-9). Solve -2*j + k*j = -2*o - 14, 0 = -4*o + 5*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.9, -52\/29, -0.3, 9\/4, 30, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3771)\/5866*(-7)\/(-3))\/((-258)\/(-8))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433768 is divided by 349.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -3. Suppose 27 + r = -5*l. Let g = -5 - l. Solve 0 = -2*h - 5*p + 19, 3*p - 11 = g*h - 2*p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/50 - (104\/360)\/(-13))*9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79491398 a multiple of 2477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -219.\nAnswer: -4\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*a + 363 = -i, -5*i = 2*a + 936. Let j = 226321\/53537 - 1\/9734. Calculate the common denominator of i\/10*(-10)\/4 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + (sqrt(176) - (sqrt(176) - (-2 + sqrt(176)))) + 4)**2*4*-6.\nAnswer: -4436 - 576*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.8, 32\/21 in increasing order.\nAnswer: 0.8, 32\/21, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1652 - -1743. Solve -3*i - 106 = -d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -327*f**3 + 4*f**2 + f - 1. Let n be y(-1). Suppose i - n = -6*i. What is the remainder when 375 is divided by i?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2231 + 0.1631. Which is the closest to 0.29? (a) s (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -336 - -125. Let x = d - -213. What is the closest to 12 in -2\/11, -5\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*h + 1134 = -4*h + 29*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {w: 1, z: 1, m: 5, e: 1, u: 3, n: 3}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 3, i: 2, k: 3, w: 1, b: 1, y: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -53.3 * 341.79\nAnswer: -18217.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + d + (-2 + 5 - 1)*(-2*d + 1 - 1) + 232*d - 713*d + 1260*d + 4087*d to the form g + t*d and give t.\nAnswer: 4863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24592 + 5)*(5 + -7). Suppose -2*q - 102226 = o. What is q rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72335.19 greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.5 - -3. Let y = 1 + -0.8. Let x = y - 0. Which is the second biggest value? (a) l (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 358326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*m - m + 116*m + 6370 = -92*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-69)\/24)\/(5*5\/(-50))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-182)\/(-65) - -1 - 2\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1736 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*o**4 + 11*o**3 - 1265.\nAnswer: 240*o**3 + 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let l(n) = -29*n - 1. Let i(f) = -10*f. Let j(t) = -7*i(t) + 2*l(t). Let k(p) = -37*p + 7. Let w(z) = -7*j(z) - 2*k(z). Give d(w(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + 0 + -3 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1793002 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + l + 3 = 5*f, -2*f - 9 = 3*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 29*b**2 + 4*b + 27. Let w be x(13). Let i = 8226 - w. Is 1\/(4875\/i + 9\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 218*t**3\/3 + 5*t**2\/2 + 6*t - 445. Let k be ((-3)\/(-9))\/(1\/(-3)). What are the prime factors of q(k)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s - 2*c - 16, -4*s - 2*c = 58. Let d be (s - -16)*(-3)\/(-2). Solve -d*q - 13 = 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5\/7 + 4482*r**4\/7 + 226140*r**3\/7 - 4287270*r**2\/7 + 7878177*r\/7 - 3821532\/7 = 0. Calculate r.\nAnswer: -1441, -68, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 16 = 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = j + 37. Let r = 8 - j. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 24*j**3 + 13*j + 10*j - 19*j.\nAnswer: -24*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -57802000 to the nearest one hundred thousand.\nAnswer: -57800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.16 in 0.2, 0.4, -1209589\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 348 and 52519?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let z(c) be the second derivative of c**4\/6 - c**3\/6 + 3*c**2 + 27*c. Determine 4*s(w) - z(w).\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 729.6, -0.12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.2 - 13. Suppose 41*n = 371 - 322 - 1238. Sort -3, p, n, 2.\nAnswer: n, -3, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200188 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -3*h**5\/4 - 3*h**4\/8 - 5*h**3\/3 - 40*h**2. Let p be o(-4). Is 10 - p - (2 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-39669))\/(7\/(-9)). Let b = x - 1203521\/1004948. Find the common denominator of b and -45\/14.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 8 = -2*c - 5*r, -c = -2*r - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2155, 4, -1, -2, -4, 9 in increasing order.\nAnswer: -4, -2, -1, 4, 8, 9, 2155","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*d - 19, -d = 5*g + d - 27. Let o(t) = -t + 13. Does 4 divide o(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vcc when three letters picked without replacement from {v: 5, c: 9}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*m - 449, 0*m + 2*m + 452 = -2*t. Let d = -217 - m. What is the greatest common divisor of 50 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 + 69476*c**2\/5 - 603572696*c\/5 + 3618935472\/5.\nAnswer: -2*(c - 17366)**2*(c - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34309098 or -0.1?\nAnswer: -34309098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -130, -173, -204, -217, -206, -165?\n\"Answer: k**3 - 50*k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + 4.3. Let a = j - 3.7. What is the third smallest value in -3, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/55)\/((65\/26)\/(50\/6))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, -949, -2\/13, 61, -0.2?\nAnswer: -949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38312690585 minus 0.2019?\nAnswer: -38312690585.2019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 5 (b) -5 (c) 0.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.011+3940841333\nAnswer: 3940841333.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1385*p**2 + 4*p - 4. Let j(g) = -1391*g**2 - 5*g + 6. Give 3*d(f) + 2*j(f).\nAnswer: 1373*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 693 = 3*u. Suppose 5*n - u = 2*n. Suppose 3*m - 27 + 6 = 0. What is the highest common factor of n and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**5\/60 - 7*v**4\/6 + 24*v**3 + 3*v**2 + 30*v. What is the units digit of u(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6 + 17. Calculate the remainder when c is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-320)\/(-15))\/(-8)*376440\/(-4). Round n to the nearest 1000.\nAnswer: 251000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/2)\/(-4)*((-3744)\/65)\/(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/73)*z)\/((z**(-20)*z)\/z))**35 assuming z is positive.\nAnswer: z**(53725\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*x + 221*n**3 - 16*n*x**3 - 3*n + x**3 wrt x.\nAnswer: 2*n**3 - 48*n*x**2 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(700)*1 + 1 + 3 + sqrt(700) + 1*sqrt(700)))**2.\nAnswer: 3840*sqrt(7) + 101056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 139*v + 3. Let h(p) = 47*p + 1. Determine -14*h(i) + 4*z(i).\nAnswer: -102*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.7464 nanograms to tonnes.\nAnswer: 0.0000000000000057464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300113122 (base 4) in base 12?\nAnswer: 9678a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-4)*(-1)\/(-14). Let z = 0.04 + 0.44. Let d = -0.02 - z. Which is the smallest value? (a) d (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*q + 60 - 115 = 0, 2*u + 3*q + 5 - 25 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0 (b) -106.12 (c) 3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111100 + -11011011110?\nAnswer: -110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 2*z**2 - z - 2. Let t be d(-2). Suppose t = -4*y + 15 + 5. Solve y*f - 20 = -4*h, 20 = 4*h - 5*f - 0*f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*t = 16 - 2, 0 = 2*t - 6. Is y + 3599 + 6\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -40*q + 1154. Give h(31).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.8730383 - -0.8730387. Let o = f - -7. What is o rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8129.57 centuries?\nAnswer: 9755484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96536 and 183962512?\nAnswer: 2023587632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + 6\/4. Let g be (10 - b)*(0 - -1). Find the second derivative of g*f + 6*f + f + 6*f**2 - 3*f wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.34362 millennia in years?\nAnswer: 9343.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -736 + 760. What is the lowest common multiple of p and 376?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10103 + 11?\nAnswer: -10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3. Let i(w) = 2. Let b(g) = -2*i(g) + q(g). Let u = -2 + 6. Let s be u + (1\/(-1))\/1. Let f(r) = -r + 1. What is s*b(h) + 2*f(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 57 + 111 = 0. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**3 + 2*g**2 + 113*g. Let n(u) = -11*u**3 - 6*u**2 - 338*u. Determine -8*b(x) - 3*n(x).\nAnswer: x**3 + 2*x**2 + 110*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 281 + -159. Suppose 3*j - 155 = -q. Calculate the remainder when 73 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.79 + -3.79. What is the third biggest value in y, 2, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-360)\/(-54)*12\/(-16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -16)*19\/57. Solve -2*w + 3 = -3*d - 2, z*d - 2*w = -15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 1 - 5. Suppose -2*n - 10 = -4*n. Suppose n*a - 3 - 32 = 0. What is the remainder when a is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 8*k**3 + 17*k**3 - 71*k**3 + 34*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 0)\/(-9*(-50)\/90)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-14) + 968\/28. Let g = 54 - w. 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: What is the third biggest value in 0.2, -4, 3486175?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 464, 1433, 2402, 3383, 4388, 5429?\nAnswer: 6518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-752709\nAnswer: -75270.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 29*m**2 + 103*m + 75.\nAnswer: (m + 1)*(m + 3)*(m + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 353\/6. Let u = -1.5 + -1.5. What is the nearest to -3 in u, c, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (30\/4)\/((-61)\/(-122))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 5*y**2 + y - 4. Let x(r) = 13*r**3 + 20*r**2 + 3*r - 17. Let b(n) = 9*v(n) - 2*x(n). What is the hundreds digit of b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 7, a: 2, r: 3, x: 4}. What is prob of picking 1 r and 1 a?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 67, 107, 147, 187, 227?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**5\/20 - 5*x**4\/6 + 29*x**3\/6 - 6*x**2 - 1314*x - 1. What is b(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 273860 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 213, 44, -143, -354, -595?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4397548 less than or equal to 78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50 or 460\/9?\nAnswer: 460\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 42240530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1248*l - 7535 + 7535)*(2*l**2 - 3*l**2 + 0*l**2).\nAnswer: 1248*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84028581 and 21.\nAnswer: 84028581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.09 - -15. Let l = y + -0.11. What is the smallest value in 4\/3, l, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 2*d**2 - 7*d + 2. Let r = 591 - 588. Determine c(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 71, -2\/17, 0.1, -2\/35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*p - 1 - 4*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-648)\/378*42\/(-54))\/((-2)\/66)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 7. Let q be (2\/(-3))\/((-10)\/45). Suppose q*z - c - 80 = 0. Is 12 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 3884550.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29297 + 3597. Round v to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-11)*v**(-6) assuming v is positive.\nAnswer: v**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*j**3*s**2 + 2*j**3*s + 153*j**3 + 27198*j**2*s**5 - 2*j**2 - 8*j + 7*s wrt s.\nAnswer: -16*j**3 + 543960*j**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -4 + 3 + 3. Suppose -3 = -2*r - q, n*r - 4*q = -2*q - 6. Suppose r = -13*y + 11*y + 96. Is 24 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16878 - -16877.85. Which is the nearest to 2? (a) q (b) -1\/5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38533 - 38484. Solve -168*a = -161*a + j for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 43 - 2*b + 33 - 95 + 31.\nAnswer: -2*b + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**8\/b)\/b)\/((b*b**(-11)\/b)\/b)*(b\/b**(13\/3))\/b**(-10) assuming b is positive.\nAnswer: b**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18071616 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 5, 11, -1\/59?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4111786 is divided by 164468.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151801 is divided by 7988?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j. Let c(o) = -8554774*o**2. What is y(c(v))?\nAnswer: -68438192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(52)\/(sqrt(24)\/sqrt(6)) + (sqrt(13) + (sqrt(26)\/sqrt(2) - sqrt(13)))*6)**2.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -461, 1, -17 in descending order.\nAnswer: 1, -17, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l**3 - 2*l**2 + l + 2. Let z be h(-1). Let r = -7 + 9. Solve 2*w - z = 3*y, -3*y - r*y - 5*w = 25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24356373 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3400*w - 1640*w - 119680 for w.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/4 - 213*c + 88695\/4.\nAnswer: -3*(c - 81)*(c + 365)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 = 2. Suppose -w + 6 = i*w. Let t be 0 + (w + -2 - -2). Put -1, -4, t in decreasing order.\nAnswer: t, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5 - 12*a**4 + 30*a**3 - 28*a**2 + 9*a = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**3 + 3*z**2\/2 + 14*z. Calculate i(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-5)*136\/((-1156)\/(-34)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -10. Suppose 4*m + 5 = 2*t + 23, -v*t + 15 = 0. Is (165\/m)\/(1\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 3*b**2 + b**2 - 2*b + 4*b**2 - 6*b**2 + 6*b**2 + (0*b + 6*b - b)*(b - 5 + 5) to n + q*b**2 + a*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5191 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 4:45 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/465 and 149\/372.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/5 - 3*m**3 - 27*m**2\/5 - 21*m\/5 - 6\/5.\nAnswer: -3*(m + 1)**3*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k + 3. Let r be w(-4). Let i = r - 8. Suppose -3*s + 42 = i*j - 0*j, 0 = 2*j - s - 19. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/32 - 19*m**5\/24 + 5*m**4\/4 - 2*m**2 - 96*m. Factor s(w).\nAnswer: 5*w*(w - 12)*(3*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.379 plus 0.02746606955?\nAnswer: 3.40646606955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12877158.0453 + -10677019.04598. Let j = n - 2200086. Let w = -53 + j. Round w to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 727609 = 19609. Round w to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:42 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*k + 225*k = 4*y - 11, 0 = 5*y - 20. Suppose -2*n - 3*q + 1 = 0, -5*n - 4*q - 10 = -9*q. Put k, n, -1\/2 in decreasing order.\nAnswer: k, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, 1, -21 in ascending order.\nAnswer: -85, -21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1039635885818 - 4\nAnswer: 1039635885814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 8. Let i = 0.03 + -0.13. Let y = 1\/2 - 7\/6. Which is the third smallest value? (a) d (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 206\/(-8) + 2\/(-8). Suppose -6*r + 20*r = -280. Let c = r - v. Sort -1, c, 3.\nAnswer: -1, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1. Let r(y) = 3. Let j(g) = 11*m(g) + 4*r(g). Let t(s) = 2*s - 8. Let q be (-28)\/182*78\/(-12). Let i(b) = q*t(b) + 3*j(b). Calculate i(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 5*d - 3, 3*x + 2*x - 18 = -2*d. Suppose 0*i + x = i. Suppose 1 - 2 = -r + w, i = -2*r + 5*w. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2444761*y**2*z**3 - 5730*y**2*z - 3*y**2 - 88*y*z**2 - 2 wrt z?\nAnswer: 14668566*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + -5)\/(2\/(-8)*1). What is the second derivative of 33*a**2 - 8*a**2 + 21 + k*a**2 + 2*a wrt a?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 11.6. Let s = j + 0.9. Sort 8, s, -1\/3 in ascending order.\nAnswer: s, -1\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z - 35. Let n be f(6). Let u be ((-671)\/2)\/((-2)\/(-4)). Let m be u\/(-77) - (-2)\/n. What is the greatest common divisor of m and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2210312 + 22332?\nAnswer: 2233310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137\/35 + 26\/7. Let f = -0.6 - -0.2. Which is the nearest to 0? (a) f (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2\/125 of a microsecond?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**3 + 21*j**2 - 21*j**2.\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -394124 divided by -5326\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -27 (b) 0.21 (c) -2\/17 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r + 2*r + 3*r + r - 20*r - 15*r.\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 984851943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00028811 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 20 = 0, -3*w + 1297244 = 5*j + 1297450 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -800*h + 5. Let q(p) = -5589*p + 36. What is -27*b(g) + 4*q(g)?\nAnswer: -756*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + o + 345 = 367, 0 = -2*j - 8*o - 40 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3292*n + 23055. Determine b(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.1. Let d = -0.3 + 17.3. Let g = 16.7 - d. What is the closest to 2\/3 in g, 1\/5, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*d = -3*x - 37, 4*x + 2 = -2*d. Put -0.1, 21, x, 10 in decreasing order.\nAnswer: 21, 10, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - n**2 + 8*n**2 + 6*n**2 - 17*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -15 + 40 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -32\/5 > -0.065573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46620.01279 and 284.\nAnswer: 46904.01279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 71.126. Let s = -0.09 - u. What is s rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2886 and 17\/39.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 54*w + 651. Give f(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -3534260.\nAnswer: -3534262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - -130. Solve -3*q - r = 2*q + 3*g, q + 5*g = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 6*u - 2. Suppose 3*w = -4*a, a = 3*w - 0*w - 15. Give l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3419194?\nAnswer: 2, 1091, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5767 and 4.\nAnswer: 23068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*y - 24 + 24. Solve y = -56*s - 75 - 93 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 - -237. Suppose b + 0*m = -x*m + 24, 0 = -5*b - 5*m + 60. Which is smaller: b or 16?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 78, 221, 432, 711?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58.3 in 0.2, 57\/73, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -29 + 2 - 12 + 8*w - 6. Is v(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 811796 is divided by 1195.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/2)\/((-50)\/(-4300)*43).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*c + 9. Suppose c*i = -12 - 231. Let r = i + 23. Sort r, 0, -3.\nAnswer: r, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 12:27 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15248659\/9 - 1688530. Let p = 5772 - w. What is the common denominator of p and -48\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2592 divided by 6?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 75 - (-12)\/4 - (-6 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451376542?\nAnswer: 2, 37, 127, 48029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/5*1*45\/630?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251522 is divided by 41911.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/19302 and 3\/41821.\nAnswer: 250926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 270945 or 270921?\nAnswer: 270921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h - h - 2*h + (1 - 4 + 1)*(2*h - 6*h + 3*h) + 5 - 3 + h - 1 - 21*h + 27*h + 123*h + (-4 - 1 + 3)*(4 - 4 - 2*h) - h + 0 + 0.\nAnswer: 137*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3*x = 0, 3*u - 2 = 20*x - 21*x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6538165087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 5, 5*l + 4*y = y + 118. Suppose -88*q + 690 - 3359 = -15869. What is the remainder when q is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-374)\/85 + 6 + 0 + -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243270, 486548, 729826, 973104, 1216382?\nAnswer: 1459660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3 (c) 2 (d) 0.2 (e) -265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**3 - 2 + 13*x + 0*x**2 + 9\/4*x**5 - 1\/4*x**4. Find the third derivative of i(v) wrt v.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(4*-2*sqrt(567) + 4)*3)**2.\nAnswer: -184032*sqrt(7) + 11762353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:39 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (93\/155)\/(-12*((-54)\/(-20))\/(-3))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 21. Suppose 9 = -5*d + 54. Let z = n + d. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4 + 937*q**3 - 2*q**2 - 66*q?\nAnswer: 48*q + 5622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {t: 3, x: 5, g: 4, y: 2, w: 5, u: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 39, -8.\nAnswer: -8, 25, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(20)\/sqrt(4)) - (2 + sqrt(17) + 2 + sqrt(17)))**2.\nAnswer: 8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14483 is divided by 600?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 51*d - 240. Give f(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.64 - 1.13. Let q = -825 + 825.42. Let t = q - y. Round t to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/157085 and 51\/43.\nAnswer: 6754655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 33180.\nAnswer: 99540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (11 + -17 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(833) - sqrt(17) - (sqrt(17) - (sqrt(272) + 2)))**2 - (5 + (sqrt(1377))**2*-5).\nAnswer: 54*sqrt(17) + 8266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1735083 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2360615 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 the square root of 11285784 to the nearest integer?\nAnswer: 3359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574 - 15*p + 31*p - 14*p + 126.\nAnswer: 2*p - 448","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -1003120213?\nAnswer: -1003120232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4194682*x**2 - 4194676*x**2 - x + x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1808 and 68252?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**5\/4 - 65*s**4\/4 + 575*s**3\/2 + 625*s**2\/2 - 109375*s\/4 - 390625\/4 = 0.\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus -0.005391?\nAnswer: -0.135391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-48))\/(5\/(-45)*3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + 0.8. Let l = -181.8 + 181.4. What is the smallest value in l, 2, o, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 17*s**2 - 2*s - 1. Let d be x(2). Let r be (-6)\/d - (-2)\/(-6). Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-182))\/((-6)\/(-12))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 127 + 2 - 99\/(-9 + 20). What is the greatest common divisor of 1980 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 8*f**2 + 9*f - 12. Suppose 12 = 2*h + 2*c, -c - 3 = -h - 5*c. Let v be w(h). Solve v - 1 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 46. Let y be 180\/(-24)*10\/(-3). Let o = y - z. What is the remainder when o is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5921*s - 3. Let b(f) = -f - 824. Calculate k(b(h)).\nAnswer: -5921*h - 4878907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((12\/(-8))\/(-3))\/(2\/(-4)). Let o = -9 - 4. Sort o, v, -4 in decreasing order.\nAnswer: v, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:50 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.125461 - -6.577239. Let w = k + -6.7. Round w to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -29, 5, 17, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 0*o - 2 = -5*o, 4*q = 4*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -4) + 14 + 1 + 2 + -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329661392?\nAnswer: 2, 23, 43, 83, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58632, -117249, -175868, -234489, -293112?\nAnswer: -351737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 less than -9382525?\nAnswer: -9382524.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (16611\/11)\/1 - (-46)\/(-506) and 2.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 2:51 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of u**5\/20 + u**4\/4 - u**3\/12 - 2*u**2 - 3*u - 325. Suppose c(o) = 0. What is o?\nAnswer: -3, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36681.\nAnswer: 3, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4)\/y**(-4))\/(y**(1\/3)\/(y*y**(-3))))**(-19) assuming y is positive.\nAnswer: y**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002404 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 372915 to the power of 1\/2, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/4*-1 - (-201)\/134)*347 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 5. Let r(i) = 1. Let j(f) = d(f) - 4*r(f). Let y be j(6). Let a = y - -18. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*h**4*q - h**3 + 2*h*q - 1046*q with respect to h.\nAnswer: -48*h**3*q - 3*h**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(-2)\/4*-3. Suppose 0 = -x - 3*z + 13, 2*z - 15 = -h*z. Solve x*c + 0 = -12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 27585\/2482?\nAnswer: 27585\/2482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 1. Let i = -107 - -101. Let c(b) = -8*b + 7. What is i*j(x) - c(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 120608809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -863.\nAnswer: -345.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 4*j - 1. Let a(c) = c**2 + c. Let h(s) = 3*a(s) - i(s). Let r be h(1). Let q = 6\/17 - -5\/34. Sort r, q, 0.2 in decreasing order.\nAnswer: r, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/3*z**3 + 2\/3*z - z**2.\nAnswer: z*(z - 2)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -241.\nAnswer: -125\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjb when three letters picked without replacement from {j: 4, g: 1, v: 3, b: 6}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*p - 108*p - 5, 4*h - 2*p + 18 = 0. Put 1, h, 5, -6, -4 in ascending order.\nAnswer: -6, h, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2. Let t(j) be the second derivative of 191*j**4\/12 + 4*j + 8. Determine t(f(w)).\nAnswer: 764*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 4:24 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7408)\/(-28) + (-9)\/(-21). Suppose 42 - v = -t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -45, -136, -303, -570?\n\"Answer: -4*q**3 - 2*q**2 - 5*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 3*y - 2. Let x be p(-1). Suppose 0 = -0*k - x*k. Solve 0*w + 3*w - 6 = k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, i: 2, t: 4}. Give prob of picking 2 t and 1 i.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*k + 3*a + 2*a, 5*a = k - 22. Let d be 2 + 6*k\/3. Let m = 0 + d. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1110 + 596 = 853*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -32 - 426*t**3 + 6*t**2 + 1265*t**3 - 22*t + 32*t. Let o be f(8). What is o rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/36808 and -55\/8084.\nAnswer: 1729976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2457 + 2487. Calculate the greatest common divisor of s and 1182.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-12) + (1186\/8 - 5). Let p = 356 - o. What are the prime factors of p?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -35*n - 1. Let a(s) = 1. Calculate -5*a(z) + m(z).\nAnswer: -35*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h. Let o(c) = c**3 + 8*c**2 + 4*c + 3. Let t be o(-7). Let z = 39 - t. Solve -3*n + h*n = -z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 3:22 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/591 and -13\/93.\nAnswer: 18321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (70 - 32) - 92?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4627\/9 - 514. Let g(z) be the second derivative of 0 - s*z**2 + 10*z - 1\/54*z**4 - 2\/27*z**3. Factor g(f).\nAnswer: -2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 - 2018*h + 2. Let u(g) = -g - 436. Determine u(z(q)).\nAnswer: 2*q**2 + 2018*q - 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 895*w**2 - 95600*w + 500500.\nAnswer: -(w - 5)*(w + 130)*(w + 770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-234)\/(17 - 30) - (-1 - 3) is divided by (1\/2)\/((-1)\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*s + 46, 0 = 2*l + l - 5*s - 19. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 t when three letters picked without replacement from {p: 4, r: 2, t: 3, x: 7, d: 1}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 204.45855 months?\nAnswer: 0.170382125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 443*l**2*y**4 - 2911*l**2*y**2 - l**2*y - 993*l**2 - 5*l*y - l - 4*y wrt y.\nAnswer: 5316*l**2*y**2 - 5822*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(147) + (sqrt(147)*1 - sqrt(147)) + sqrt(147))\/sqrt(3))\/sqrt(7) - (-6*(1*sqrt(77) + sqrt(77)))\/(sqrt(55)\/(sqrt(15)\/sqrt(3))).\nAnswer: 3 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -169643\/10899 + -10\/1557. Let l = 874\/35 + m. What is the common denominator of l and 34\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2141, 2408, 2675, 2942, 3209, 3476?\n\"Answer: 267*f + 1874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert e056 (base 16) to base 8.\nAnswer: 160126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -192 + 16. Suppose 0 = -c*r + 14*r + 1304. Is r a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10) + (2 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.7008ml to litres.\nAnswer: 0.0947008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012643 to 5 dps.\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -639583 (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**8\/84 + 3*f**4\/8 - 7*f**2. Find the second derivative of a(g) wrt g.\nAnswer: -80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8421585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 3 - 16\/5*d**3 + 13\/5*d**2 + 9\/10*d**4 - 4\/5*d. Solve x(o) = 0 for o.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*m = 3*c - 70, 0 = 2*c + 5*m - 20. Factor c*i**2 + 31*i - 49*i + 6*i**3 + 3 + 30*i.\nAnswer: 3*(i + 1)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 224159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18441 times 15.77?\nAnswer: -290814.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ngngtgntgg. Give prob of sequence ggng.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 3)*(10 - 32 - 26)*(0 + 3*x + 0).\nAnswer: 432*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -40. Solve 4*n - 2*c - 6 = -0*c, -r*c = -5*n + 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2402747 to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - w + 1. Let b(u) = 6*u**2 + 5*u - 5. Let s(r) = b(r) + 5*f(r). Let o(j) = -j - 4861 + 4861. Give o(s(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2305511241 + -52?\nAnswer: 2305511145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 4. Suppose 4*o = 2*c - 30, c - 42 = -2*c + 3*o. What is the remainder when c is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*b**3 - 80*b**3 - 192*b**3 + (1 - 1 + 2*b)*(-3*b**2 - 3*b**2 + 5*b**2) + 0*b**3 - 4*b**3 + 0*b**3 in the form z*b + j + u*b**2 + k*b**3 and give k.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppwp when four letters picked without replacement from wwssswwswpppwswwpsw.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12788, 12790, 12792, 12794?\n\"Answer: 2*n + 12786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 258047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(26)*2 + ((sqrt(234) - (-3*sqrt(234) + sqrt(234) - sqrt(234) - sqrt(234))) + sqrt(234) + sqrt(234))\/sqrt(9))\/(4*sqrt(288)*-2*2).\nAnswer: -sqrt(13)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-2*5 - sqrt(18) - sqrt(18))\/sqrt(6).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 6, 34303 - 34317 = b - 2*d for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2101204.\nAnswer: 2, 7, 101, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 5*q**2 - 7*q + 8. Let m be r(6). Let z = m + 0. What is the third derivative of c**4 + 0*c**4 - z*c**2 + 0*c**4 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11245.4 and 0.74461515.\nAnswer: 11246.14461515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564012?\nAnswer: 2, 31, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186577416 and 15548118.\nAnswer: 186577416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -560*z + 29. Is c(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3800.4 rounded to the nearest 10?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150 and 345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p**3 + 166*p**2 + 41*p + 9. What is w(13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y + 6*y + 4*y + 29*y**2.\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2316 - 11581\/5. Sort l, 0.13, -1.\nAnswer: -1, l, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2444242424 (base 5) to base 10\nAnswer: -5852864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggx when three letters picked without replacement from gxxgxxggxg.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5292969 kilometers?\nAnswer: 529296.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(36\/80 - (-1)\/(-4)). Which is the nearest to q? (a) -2 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 10*y. Let w be n(-10). Factor 4*m**3 + w*m**3 - 3*m**3 + 9*m**2 + 2*m**3 + 6*m.\nAnswer: 3*m*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2978 or -6673?\nAnswer: -6673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182789.\nAnswer: 182789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16990 - 5907. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02905888 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2077.\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/(-5)*(-121 + 141). Is x equal to -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1747307824 and 9817.\nAnswer: -1747298007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-234)\/1248*9632\/(-129).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26578487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*s = 19*s - 24*s + 216. Solve 0 = -s*g - 4*k - 10, -g + 15*k = 13*k - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 9417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p - 76. Let w = p + 115. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -893, -3945, -9159, -16535, -26073, -37773, -51635?\nAnswer: -67659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 27950, -16 in decreasing order.\nAnswer: 27950, 4, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 118*l**3 - 57*l - 7136. Let a(m) = 29*m**3 - 13*m - 1784. Let u(b) = -11*a(b) + 3*g(b). What is the first derivative of u(j) wrt j?\nAnswer: 105*j**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*v = -271*v - 8 - 5992 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = 12. Suppose 0 = 2*t - 0*t - j + 12, -20 = 4*t - u*j. Let l = t + 9. Solve -z = 4*z + 10, -2*c + z + l = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - -9 - (1 + -1). Suppose 0 = -3*x + 31 + a. Let v = x - 9. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/4 + 13*u**3\/2 + 3*u**2 - 97*u\/4 + 15 = 0.\nAnswer: -4, -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7*(-19)\/665)\/(18\/(-195))?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/20))**(-32)*t**(4\/3)\/((t\/(t**39\/t)*t*t)\/t))**(-16) assuming t is positive.\nAnswer: t**(-10112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2747, 2820, 2941, 3110, 3327, 3592, 3905?\nAnswer: 4266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 3. Let q(o) = o + 4. Let c = -134 + 130. Determine c*f(l) + 3*q(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-8) + 9 + 238\/(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 5*o - 20. Let m(y) = y**3 + y**2 + y + 1. Let q(u) = -i(u) + 3*m(u). Differentiate q(k) wrt k.\nAnswer: 9*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249 equal to 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 160 + 0?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/8 and (1 + (-14)\/12)\/((-10)\/279)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 = -7*p. Let t(y) = y**3 + 2*y**2 - 4*y - 4. What is t(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1668621 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 19. Solve 3*h + 0*h - q = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Suppose -5*l + 0*l + 5 = 0. Let u(o) = -3*o - 1. Let n(w) = w. Let z(g) = 5*n(g) + u(g). What is l*i(f) - z(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(sqrt(5) + (sqrt(55)\/(sqrt(33)\/sqrt(3)))**2).\nAnswer: -10 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133620 rounded to the nearest one thousand?\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -402 - -2774. List the prime factors of m.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039811879 to the power of 1\/2, to the nearest integer?\nAnswer: 32246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154449 is divided by 44.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.08 + -0.98. Let b = -1 - s. Let x = -2 - -1.9. Is b less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13950.76095 seconds?\nAnswer: 0.023066734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 460 and 6854.\nAnswer: 68540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**(-47)\/(n**(1\/3))**(2\/13))**(36\/11) assuming n is positive.\nAnswer: n**(-22020\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -2.9, -9, -3758?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/3341395?\nAnswer: 2\/3341395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 146866913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 3*s**4\/2 - s**3 - 3*s**2\/2 + 1. Let f(x) = 0. What is x?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -4 (b) -4\/7 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.8 + -18. Let n = 323\/13 + -25. Let m = -0.2 + 0.1. What is the nearest to m in n, -1, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**6\/720 + a**5\/120 - a**4\/72 + 13*a**2. Factor b(s).\nAnswer: -s*(s - 2)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71656059961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 10*v**2 - 7*v - 13. Let r be u(9). What is the derivative of 3*c**3 + 1 + 2 - r wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.07784 minutes to nanoseconds.\nAnswer: 3064670400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 224*d**3 - 7*d**2 + 6*d. Calculate k(1).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 1 + 34 = 0. Let a(z) = z - 2. Calculate a(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 13 - 3 + 4*h + 3*h - 3.\nAnswer: 7*h + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.73449 years in centuries?\nAnswer: 0.9873449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 9*j**2 - 9*j + 32. Let g be i(-10). What is the derivative of -5 - g*u - 4 + 2 - 7*u wrt u?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32, -11, 14 in decreasing order.\nAnswer: 14, 1, -11, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142626323.\nAnswer: 7, 20375189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1011148*g**4 - 2*g**3 + 17*g - 40860.\nAnswer: 12133776*g**2 - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*m - 10, m - 9 + 4 = 3*q. Suppose -3*i = -9, q = 2*a + 2*i - 1 - 91. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(153)\/(sqrt(45)\/sqrt(5)).\nAnswer: 3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-106)\/22 - -5) + (-13)\/11. Let o(q) = 6*q**2 - 3*q - 4. Let m(z) = -z**2 + 1. Calculate k*o(n) - 4*m(n).\nAnswer: -2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3574 and 69726953?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 5*y**2 + 5*y + 8. Let k be u(6). Suppose k*c = -2*c + 208. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 12) in base 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3821 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1679\/42 - -40. Let m(k) be the third derivative of -1\/210*k**5 - 1\/210*k**6 - 3*k**2 + f*k**4 + 0*k + 1\/21*k**3 + 0. Suppose m(j) = 0. Calculate j.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -278 and -23?\nAnswer: 6394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 167 - 163. Solve 6*n - j*n + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/2 (b) -138\/5 (c) 5\/7 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -238, 1\/19, -2, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17358803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Put -641, -1, 4, 0.59 in ascending order.\nAnswer: -641, -1, 0.59, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00076087 to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**19\/(h*h*(h**(5\/2)\/h)\/h))\/(h**6*((h*h**(-9))\/h)\/h) assuming h is positive.\nAnswer: h**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-28)\/1491)\/(3 + (-22)\/6). Which is the second smallest value? (a) -3 (b) 0.2 (c) 0.5 (d) 2 (e) w\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/50*(-2)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w - 25*w + 21*w + 22*w - 8*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*z + 12, -5*z - 16 = -5*f - 56. Suppose 0*x - 4 = -z*x. Sort x, 4, -1\/7 in descending order.\nAnswer: 4, x, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.509 + -0.061. What is v rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 87645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 12:48 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23956.92 weeks in nanoseconds?\nAnswer: 14489145216000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmpmmmmmmmmm. What is prob of picking 4 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*i - 2*i - 14, -3*o = i. Is ((-6)\/12 + o)*1*3082 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/4*3336\/(-9174)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 302167 = 302161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*m + 172829921 - 172829921.\nAnswer: -62*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 o when three letters picked without replacement from kogypkgpgkkgggkpggoi.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -821*c**4\/24 + 433*c**3\/6 + 432*c**2. What is the first derivative of a(p) wrt p?\nAnswer: -821","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/85 and -73\/204.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 1806\/13*k + 2\/13*k**3 - 310\/13*k**2 - 2682\/13 = 0.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -13 (b) 32 (c) -0.03 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 - -5) + -4 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 0 + -8 + 16 + 6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/23920 and 109\/2990.\nAnswer: 23920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 18 (b) -2\/7 (c) -3.78 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17928 * 0.4.\nAnswer: 7171.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c + 458. Determine t(-33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*((x**(-8)*x)\/x)\/x))\/x**(3\/14)*x**(-1\/5)\/x*x*x**(1\/7)*x)**(-1\/34) assuming x is positive.\nAnswer: x**(-611\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*f + 643*f = -310 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8858 or -8854?\nAnswer: -8854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -42835 and -0.5.\nAnswer: -42835.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2545 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2069, 4017, 5963, 7907, 9849, 11789, 13727?\n\"Answer: -g**2 + 1951*g + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 + 1.9. Let d = -4 + 3. Let x = l + d. What is the smallest value in x, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, 4, 0.33, -3, 1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + (-6 - (-159 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11248 + -7979. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12 + (10 - 22))\/((-10)\/(-2)). Solve 52*w - 8 = -x + 49*w, 5*w - 10 = u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 703 = -163. Suppose -3*j = -9*j + t. Calculate the greatest common divisor of j and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2541 - 9*t**2 - 12*t**2 - 6*t - 6*t**2.\nAnswer: -27*t**2 - 6*t - 2541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 11:59 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 148 (b) -2\/7 (c) 1\/25 (d) 7\/72 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3139.81355 rounded to the nearest 10?\nAnswer: -3140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -9. Suppose 4*c = g + 15, 4*c + u*g - 21 = -5*g. What is the second derivative of -6*n**2 + 0*n**2 + 8*n - 15*n**c + 6*n**2 wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 26*b**2 + 304. Let o(k) = -3*k - 5. Let l(t) = 3*t + 4. Let f(i) = 5*l(i) + 4*o(i). What is f(v(a))?\nAnswer: 156*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, 1998, 4222, 6446?\nAnswer: 8670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.889885 less than -153869?\nAnswer: -153850.110115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1430 divided by 11\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 7.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a**3 + 0*a + 1\/105*a**6 + 15 + 1\/42*a**5 - 1\/735*a**7 + 9*a**2 + 0*a**4. Factor f(p).\nAnswer: -2*p**2*(p - 5)*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**3 + 4*j**4 - 127*j + 117*j**3 + 228*j**2 + 415*j - 61*j**3.\nAnswer: 4*j*(j + 3)**2*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45228 divided by -11307?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 567928.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6529.691 tonnes?\nAnswer: 6529691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4148660 and 40.\nAnswer: 8297320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -522, -11, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, 2, -32, -104, -226, -410, -668, -1012?\n\"Answer: -2*f**3 - f**2 + 9*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**7\/147 - 2*s**6\/105 + s**4\/21 + s**3\/21 + 7*s. Let k(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)\/(w\/w**3))\/(w**12*w*w*w**9) assuming w is positive.\nAnswer: w**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6\/11)*l)**(-29)*(l**17)**(-29\/5) assuming l is positive.\nAnswer: l**(-7743\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -5400466\nAnswer: 5\/5400466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, o: 12, j: 3}. Give prob of picking 1 g, 1 o, and 2 j.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 1. Let r be v(1). Let a(h) = r*h**2 + 2*h**2 - 3*h**2. Let b(d) be the third derivative of d**5\/5 - 27*d**2 + 2*d. Give b(a(n)).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2565765323.\nAnswer: 11, 43, 5424451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2. Let f(w) = -w + 14. Let h(l) = -2*f(l) - 14*n(l). Let v(z) = 6*z + 8. Let s(k) = 3 - 2 - 2*k + 3*k. Let r(q) = 24*s(q) - 3*v(q). Give h(r(u)).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-11 - 3)) + 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -6. Let p be 3 + (i\/2 - 3). Suppose -3*t + p*t - 22 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330788 and 1476?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13961 - -24977. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - f + 1. Let o(s) = 143*s**2 - 3*s + 260. Let v(q) = 3*j(q) - o(q). Find the first derivative of v(w) wrt w.\nAnswer: -298*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (0 + 2 - -4 - 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 242 = -4*x + 250, 3*x = -4*h + 370. Does 31 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -4*y - 5*n, -3*n + 93 = 3*y - n. What is the remainder when 129 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 120 = -2*j. Calculate the highest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59266552?\nAnswer: 2, 617, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 3*l - 17, -4*k - 3*l - 13 = -4*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436133 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 15*x**2\/2 + 2*x + 797. Calculate t(4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-209)\/57 + (-2)\/(-3). Sort 3\/5, 0.8, 1\/3, k in increasing order.\nAnswer: k, 1\/3, 3\/5, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.194 times -1\nAnswer: 0.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a meter in millimeters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 128*h**2 + 4*h + 5. Suppose -4*n + 308 = 3*f - 2*f, 0 = n + 5*f - 96. Let g = n - 77. What is the tens digit of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 852\/7 + (5 - 6). Let n = 121 - r. Let d = -0.3 - -0.3. Which is the second smallest value? (a) 1\/2 (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 14\/1090791?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.9\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -401 - -202. Let t = q - -213.3. What is t rounded to 0 dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 0*a + 0*a + (-9006*a**2 + 10450096 - 10450096)*(-5 + 2 + 2).\nAnswer: 9008*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2947 >= -2948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427491.3 kilograms to tonnes.\nAnswer: 427.4913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, -47, -191, -467, -917, -1583, -2507?\n\"Answer: -7*l**3 - 3*l**2 + 4*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = -z. Is 0 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.3. Let v = 4 - d. Let q(p) = -2*p - 7. Let h be q(-6). What is the smallest value in v, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*i - 26, -3*i + 14 = -2*g + 4*g. Suppose -g*x - 4*y + 184 = 0, y - 5*y + 139 = 3*x. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-1 + -1)\/(-1). Let q be (-2 + (-5)\/(-1))*(-3)\/3. Let x(s) = -s**3 - 3*s**2 - s - 1. Let n be x(q). Solve -5*r + 3*u + 3 = -0*r, 0 = -n*u + v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.22 and 0.05?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 29 = 11. Let b(d) be the first derivative of d**3 - d**2\/2 - 2*d - 1. Let n be b(i). Solve 3*o - 1 = p + n, 4*o = -3*p + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 592417.5ml?\nAnswer: 592.4175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20812, 20816, 20820, 20824?\nAnswer: 20828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6172880 by 584.\nAnswer: 10570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54001 - 54001 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08815 * -5.\nAnswer: -0.44075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 782951525*o - 782951520.\nAnswer: -5*(o - 156590304)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(504))\/sqrt(9) + sqrt(56))\/((sqrt(48) - (sqrt(192)\/sqrt(4) - sqrt(48)))\/sqrt(6)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/10)\/(5\/25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 13*s**2 - 15*s + 2. Let g be m(-12). Suppose g*n - 21069 = 3023. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) 2 (c) 5 (d) 1\/6549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/((-8)\/160) + -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1109, -3419, -7281, -12695?\nAnswer: -19661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiuiiuiiq. What is prob of picking 2 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -33. Let c be -2 + o - (1 - -3). Let l be 51\/15 - (-2 - c). Sort -1\/3, -1\/2, l in increasing order.\nAnswer: -1\/2, -1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q + u, q - 5*u + 1 = -12. Solve 3*v + 4 = -q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12436*y = 12434*y + 5*l - 11, l - 33 = -4*y. Suppose -k = -j + 19, -3*j - k = -0*k - 61. Solve y*b = 2*b + j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392990 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30794569 a multiple of 639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6021)\/892 + 3*(-1)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 3*y**5\/5 - 3*y**4\/2 - 24*y**3 - 233. Factor d(u).\nAnswer: 3*u**2*(u - 6)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5339*q**3 + 4*q**2 - q - 7. Is l(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 199958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.455 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2104187, -2104138, -2104089, -2104040, -2103991?\n\"Answer: 49*o - 2104236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24.82 + 0.18. Let w = i - 25.0000068. Round w to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 5:23 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**3\/6 - 27*c**2\/2 + 24*c. Let z(t) be the first derivative of -t**2\/2 - 251. Determine z(q(j)).\nAnswer: -j + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**5\/15 - 5*u**4\/3 + 46*u**3\/9 - 4*u**2 - 1524. Suppose s(k) = 0. Calculate k.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 144216.\nAnswer: 1009512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-112)\/360)\/7)\/((-1)\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*u = 189*u + 3*j - 82, 5*u - 4*j - j + 130 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnt when three letters picked without replacement from sftfmmnsl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1960, 3854, 5748, 7642, 9536?\n\"Answer: 1894*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/30 + -4 + 144\/30?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-4)\/(-2))\/((126\/(-105))\/3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/6173 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -3*g**7\/14 + 7*g**6\/5 - 39*g**5\/10 + 6*g**4 - 11*g**3\/2 + 3*g**2 - 3*g. Factor t(h).\nAnswer: -3*(h - 1)**4*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1557261 (base 8) to base 4.\nAnswer: 1231322301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201480, 201241, 201004, 200769, 200536?\nAnswer: 200305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-2)\/662)\/(-1))\/((-21)\/(-3)). Let j = 66582956979641\/9268 + -7184177475. Let u = j - z. Find the common denominator of u and 5\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 l when three letters picked without replacement from {n: 3, i: 4, j: 4, m: 1, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 3*s = 3*v - 18, -21 = -2*v + 5*s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35872\/46816 + ((-1)\/(-7) - 0).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2279186 by -91.\nAnswer: -25046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k - 178 = -2*a, -3*a - 3*k = -276. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, -9, 5601 in descending order.\nAnswer: 5601, -9, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*s = -2, 0 = 5*o - 5*s + 7 - 2. Let z = -1.2 - 19.8. Let f = -20.9 - z. Which is the third biggest value? (a) f (b) o (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 4*n - n + 647, -4*z - 3*n + 523 = 0. Let i be (z\/104)\/((-1)\/(-4)). Solve -3 = i*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 91.0000053. Round d to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 156 - 520. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/28 + -57*(-5)\/105. Sort -3.3, -1, r.\nAnswer: -3.3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*m + 3*z, 3*m = -2*m + 2*z + 36. Suppose -4*w = p - 22, -4*p + 12 + 1 = w. Find the first derivative of -p*d + 6 - 4*d + 5*d - m*d wrt d.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4.5 and 74589 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 199*w - 419*w + 220*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -19. Let s = -6 + w. Let z be (s\/2)\/(1\/2). What is the greatest common factor of z and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2440?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*i**3 - 571 + 573 + 0*i**3 in the form b*i**3 + n + x*i + h*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15379 and 150776899?\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-7))\/(((-96)\/(-42))\/(-8))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145854.\nAnswer: 2, 3, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13890184 and 14.\nAnswer: 13890184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 105664 by 8128.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 4*d**2 + 3. Let x be n(3). Let g be 11\/(-3) - (-2)\/x. Let p = -0.4 - 0.1. Sort p, 0.3, g in decreasing order.\nAnswer: 0.3, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4 - 68. Let p = 199 - w. Let m = p - 81. List the prime factors of m.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681 = 8*j - 87. Calculate the smallest common multiple of 24 and j.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 1.6. Let q be ((-1)\/(-4))\/((-1)\/2). Which is the third smallest value? (a) q (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*a + 8. Let u = a - -16. Solve -t = 4*t + u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.0727 to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 744811 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -11 + 2*x**3 - 17*x - 2*x**3 + 0*x - 7*x**3. Find the first derivative of k(i) wrt i.\nAnswer: -42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/170869890 and -11\/4590.\nAnswer: 1537829010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 - 2 + 20*n + 2)*(0 + 0 + 2*n).\nAnswer: -2*n**3 + 40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 2 (b) 4\/5 (c) -917\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 8*z - 4*f = 22, 2*z - f = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/160 - 27\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-8)\/m*m**(-5))\/(m*m*(m**(1\/3)*m)\/m)**(2\/5))**(-6\/11) assuming m is positive.\nAnswer: m**(388\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(0*b + 0*b + b**3 + (2*b - 2 + 2)*(0*b**2 - 6*b**2 + 3*b**2)).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 5*j**2 + 10)*(-2 - 2*j + 2) + 0*j**3 + 2*j**3 + 0*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.855 - -3.855. Sort b, 0.2, 3963, -1\/6.\nAnswer: -1\/6, 0.2, b, 3963","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m + r + 3, -r = -5*m - 7 - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -276 + 312. Calculate the remainder when 107 is divided by s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1851 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*o - 1163 + 1163)*(3 - 3 - 3*o)*(3 - 3 - 1) + (3*o - 2*o + o)*(2 + 3*o - 2) to n + j*o**2 + c*o and give j.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g + 1. Let f(p) = 4*p**2 + 5*p + 5. Let b(l) = f(l) - 5*n(l). Let j(a) = 3*a**2. Give j(b(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -5093178.\nAnswer: 2\/848863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87.6 + 14.9. Round c to zero decimal places.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 464.0094 + -161293.\nAnswer: -160828.9906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.1 + -1.1. Let r = 159952 - 159962.000125. Let g = l + r. Round g to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**3\/6 + f**2\/2 + f. Let c be ((-2)\/(-6))\/((-91)\/21 - -4). Let j(h) = -h**2 - 4*h - 5. Calculate c*j(m) - 5*q(m).\nAnswer: m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulueuuluuu. Give prob of picking 1 e, 1 l, and 2 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3440 divide 252072047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r - 10. Let o be t(2). Let c(z) = -z**3 + z**2 - z + 2. Give c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2\/7*r - 4\/7*r**2 + 4\/7*r**4 + 0 - 2\/7*r**5 + 0*r**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.804 (b) -1\/2 (c) 0 (d) 160 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2 - (-506)\/33)*(-540)\/(-8) and 105.\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(-2\/17))**(27\/4)*(s\/((s\/(((s*(s**23*s)\/s)\/s)\/s))\/s*s*s*s))\/((s\/(s\/(s\/(s**(-6)\/s))))\/s*s) assuming s is positive.\nAnswer: s**(2247\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 288*q**2 - 5*q + 27.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -7*v**4\/2 - 396*v**3 - 4508. Factor y(l).\nAnswer: -2*l**2*(7*l + 594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 21*b - 4. What are the prime factors of u(3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1285 (base 10) to base 3.\nAnswer: 1202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**5\/15 - s**4 + 2*s**3 + 4*s**2\/3 - 8*s + 392. Factor j(k).\nAnswer: 2*(k - 3)*(k - 2)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 225 + -225.00000434. What is z rounded to seven decimal places?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1442 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:16 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 6*i + 1. Let g be (-16 - -15)*147\/(-1). Let x = g - 151. What is n(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13215*j**3 - 2*j**2 - 43229*j?\nAnswer: -79290*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/6 + 129*i**3 + 18560*i**2 + 1847296*i\/3.\nAnswer: -i*(i - 902)*(i + 64)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 5, 12.\nAnswer: -1, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/60 - 73*t**5\/3 + 733*t**4\/3 - 2936*t**3\/3 + 1771*t**2. Let b(u) = 0. Calculate u.\nAnswer: -734, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/3*3\/2. Suppose 0 = 2*n - 0*n - 10. Suppose -3*v + 2*h - 2 = 0, n*h = -j*v + 4*h + 1. Solve -g - y = -v*g, -5*g + y = -6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 53 - 28 = 0. Let o = -0.02 + -0.38. Which is the second smallest value? (a) o (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6*f + 20. Let a(r) be the third derivative of -12175*r**4\/3 + 36*r**2 - 3*r. Let m be a(f). Round m to the nearest ten thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-836))\/15*11.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + d = -120. Let f = 962 + -643. Suppose 4*s - f + 79 = 0. Calculate the greatest common factor of s and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2985 and -432?\nAnswer: 1289520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(11)) + 1 + ((sqrt(110)\/(-2*sqrt(10) + sqrt(10)))**2 - (sqrt(44)\/sqrt(4) + 0)).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3514 and 71918?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.44, -0.4, 0.5, 15, -0.1, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-2 + 0 - -10 - (-86 - -85)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by 2.\nAnswer: -145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228.999999456 + -229. Round z to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*36\/(-24)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1011101000100 (base 2) to base 15\nAnswer: 1b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2736) + 4*sqrt(2736) - (-1*sqrt(114))\/sqrt(6)).\nAnswer: 4 + 61*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-252) + (-4)\/(-18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2286 * -1364.\nAnswer: -3118104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/3 + 108\/(-45)*70\/(-126). Solve -u + 6 = -b, -367*u + 371*u - 20 = f*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/2*231\/(-396).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/12 - 4*s**3\/3 - 3*s**2\/2 + 5*s. Suppose 33*x - 27*x + 48 = 0. What is t(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 52272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3281, -15, 2, 1, -3.\nAnswer: -15, -3, 1, 2, 3281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22150751 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (73\/511)\/((-8)\/(-728))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -428, -389, -324, -227?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -17*1 + (-27594)\/(-1512). What is the second biggest value in 0, q, -1\/3, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11407*c + 2003633 = 17407*c + 73095 for c.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwvwwwwwwwadwwdw. Give prob of sequence vf.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.271 and -6234.6.\nAnswer: -14158.7766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*b = 466 + 1424 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38538 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1070\/322217?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28680, 57483, 86412, 115467?\n\"Answer: 63*m**2 + 28614*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046694800?\nAnswer: 2, 5, 19, 137723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o - 9. Let u be q(-6). Suppose u = 3*z - 4*y, -6*y = -2*y. Suppose 4*m - 3*n - 1 - 5 = 0, 16 = 2*m + z*n. Solve -m*i + 2*i = -4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -80, -108, -146, -200?\n\"Answer: -u**3 + 4*u**2 - 29*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6764.7 + -1488331.\nAnswer: -1481566.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 499933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9999*p + 3551. Is 19 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1019 = -5*q + 1511. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30999 + -30993. Calculate the highest common factor of 237 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f + 0*f + 5*f + 7 - 2 - 78*f**3 + 3*f**2 + 79*f**3. Let a(y) = y**3 + 4*y**2 - 1. Let w be a(-3). Is h(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, t: 1, f: 2, y: 1, l: 2, b: 3}. Give prob of sequence lbu.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -7 - (6 + -14)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 661 times 0.5\nAnswer: 330.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {m: 2, c: 1, u: 6, y: 5, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 510 + -321. Let f(m) = -v*m + m**2 + 0*m**2 + 382*m - 194*m - 2. Suppose w + 2*t - 1 = 0, -w = 4*w + 5*t - 10. What is f(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3968316 (base 10) to base 5.\nAnswer: -2003441231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.51 * 0.3\nAnswer: 0.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18995.63l to millilitres.\nAnswer: 18995630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 3 + sqrt(17) + -1)*-4*1)**2*3.\nAnswer: 1152*sqrt(17) + 4992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -326. What are the prime factors of f?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y*y\/(y*y**(-1\/4)))\/y*y)\/y**(-9\/5))**(-37))**5)**(-14) assuming y is positive.\nAnswer: y**(20979\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - l + 3*l**3 + l**2 - 52*l**4 + 105*l**4 - 56*l**4 to the form v*l**2 + o*l + i*l**4 + f + m*l**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 101220210222 (base 3) in base 15?\nAnswer: 43a2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 + 0 + 64. Let m = -36 + h. Let g be ((-39)\/(0 - 1))\/1. Calculate the greatest common factor of m and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - 4) + 5 - (41 + (0 - 31))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -33\/18088?\nAnswer: -33\/18088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 424450080 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1440, -3232, -5018, -6792, -8548?\n\"Answer: f**3 - 3*f**2 - 1790*f + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5*n**3 - 1771*n**2 + 1771*n**2 - 4.\nAnswer: -5*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375 - -63. Let a = t + 638. Suppose -2*r = -2*n + a, -5*n - r = 3*r - 797. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 0*m**3 + 0*m - 6*m**2 + 0 + 1\/24*m**4. Let y(x) = 3*x**2. Give y(s(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6 - 171\/76)*-4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39623 - 39620.3801. Let y = 0.0099 - o. Let v = y - -2.60999883. What is v rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1129 - 4415 = -79*w - 152*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52440.28 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1790 + 5522 + 23724 = -352*o for o.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 0 - 28\/9*l**3 + 0*l + 10*l**2 + 2\/9*l**4 = 0.\nAnswer: 0, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = 0. Suppose b = 5*n - 33 + 3. Let f(m) = m**2 - m - 1. Let v(z) = -4*z - 4*z**2 - 5 + 8*z**2 + 8*z**2 - 4*z**2. Give n*f(h) - v(h).\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.719456ms to seconds.\nAnswer: 0.006719456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*285\/190?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*y = -185, 0 = -v - 2*y - 13 - 36. Let w = 7 - v. What is the remainder when w is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 5283.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82512 is divided by 5663?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 + 5*i + 6. Let x be a(7). Let t be (36\/10)\/(x\/(-20)). Let h = -4 + t. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 152874 and 2547900.\nAnswer: 7643700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: a1dd (base 14) to base 12\nAnswer: 14133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**10)\/(i\/((((i**(7\/2)*i*i)\/i)\/i)\/i)))**(6\/7)\/((i**(-2\/3)*i)**(-1\/23)\/(i**(1\/4)\/i)**(-44)) assuming i is positive.\nAnswer: i**(21121\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 51384 + 101040. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14779130?\nAnswer: 2, 5, 1477913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.30984 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1177 + -9485\/8. Let r(j) = 6*j + 63. Calculate the common denominator of r(-8) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297095 take away 0.8?\nAnswer: -297095.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5140169073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/495 and -23\/16038.\nAnswer: 80190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -774384 divided by 6\nAnswer: -129064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 26. Let j be a(-6). Suppose -6*w + j = w. Solve -5*s - 5 = 3*t, 2*s - 3*s + w = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -128 + ((-3 - -2) + -8 - (-1648 + 1629))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 13. Let j be w(-4). Let d = 22 + j. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30.7 + -32. What is the second biggest value in 0, 0.5, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10595603, -21191205, -31786805, -42382403, -52977999, -63573593?\nAnswer: -74169185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 205914066 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7052882 rounded to 3 dps?\nAnswer: 1.705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-28)\/(-560))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + 14.88. Let i = q + -12. Which is the closest to i? (a) 1\/5 (b) 5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*q + 221*q - 46*q)*(2*q**2 - 2 + 2).\nAnswer: 442*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*sqrt(1694)*-2)\/(sqrt(35)\/((sqrt(5) - sqrt(5)*2 - sqrt(5))*4)))*3.\nAnswer: 15 + 1056*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 2*l**2 - 5*l - 4. Let q(p) = -p**3 + p. Let f(m) = -3*q(m) - x(m). Let z be f(3). Suppose -2*b = -0*b - z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7733 is divided by 146.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 6 - 2*b**4 - 8 + 0 - 24*b**3 + 3 to w*b**4 + h + q*b + v*b**2 + d*b**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8396 + -6566. Calculate the greatest common divisor of 390 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33, -23, -3, 33, 91?\n\"Answer: c**3 - c**2 + 6*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Suppose -3*d + k = -4*d + 6, -5*k - 18 = -3*d. Suppose 3*w - w**2 + 7*w**2 + 0*w**4 - w**5 - 2*w**5 - d*w**t = 0. Calculate w.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14020944 divided by -4?\nAnswer: 3505236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(-22\/5))\/k)*k)\/k*k**(8\/17))\/((k\/(k**(-26)*k))\/(k\/(k*k**44)*k)) assuming k is positive.\nAnswer: k**(-6114\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 2:27 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5167 - 5163. What is the fifth biggest value in u, 5, 1, -0.23, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10469 - 4067. Let c = u + -4339. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 125.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**3 - 13*f**2 + 26*f - 19. Calculate the remainder when 110 is divided by w(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + (0 + sqrt(275) - sqrt(275))))**2 - (-1*(sqrt(132) + (sqrt(132) - (sqrt(132) + -6*-2*sqrt(132))) - sqrt(132))\/sqrt(12))**2.\nAnswer: -1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20 - (-117)\/(-13)) + -18. Which is smaller: r or -8.5?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 375?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -10*r**2 - 27814119*r + 2781412 = 0.\nAnswer: -2781412, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 680*m + 3313. What is the thousands digit of s(43)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/16 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1348 + 1342. What is the smallest value in s, -1, 4, 0.3, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1500623\/531 or 2827?\nAnswer: 2827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**5\/60 + w**4\/6 - w**3\/2 - 65*w**2 - 8. Let n(y) be the second derivative of o(y). Calculate n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.51061 to one dp.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3678?\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001536017113 to seven dps.\nAnswer: 0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwtwttw. What is prob of picking 1 t and 3 w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -360, 5 in decreasing order.\nAnswer: 5, -5, -360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(1900)*2) + (sqrt(19) + sqrt(76)*-3)*-1*-3.\nAnswer: -115*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) -86 (d) 0.2 (e) 2\/1449\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**2 - 61. Let g(m) = -4*m + 1. Let o = 59 - 64. Calculate o*f(d) + 2*g(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 2. Suppose -6 = w - 3*w. Suppose w*z = -2*z + 40. What is the remainder when z is divided by g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21278, -85083, -191422, -340295, -531702, -765643, -1042118?\nAnswer: -1361127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - -65. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 93*x + 24*x + 0*x + 3*x - 2*x + (-1 + x + 1)*(4 - 2 - 1).\nAnswer: -63*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 - 64.6. Round g to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 5*t**2 + 5*t - 4. Let b be u(-6). Suppose -42*a + 9*a - 3 + 69 = 0. Solve 0 = 2*m - 4*s + 5 + 11, 6 = -b*m + a*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of ((-1)\/(-3))\/((-4)\/(-126612))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6735 * 0.1723\nAnswer: 0.11604405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 2 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i - 74 = 96 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*a + 760 = -65*a - 1425 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0141076 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*((3*q**2 + 0*q**2 - 4*q**2)*(-4 + 0 + 1) - 63*q + 63*q - 28*q**2)*(q**2 + q**2 - q**2).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 4)*(-8*f**3 - 2*f + 2*f) + 3*f**3 + f**3 - 5*f**3 - 5*f**3 - f**3 + 0*f**3 to h*f**2 + k*f + g + j*f**3 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/4 + 33\/44. Let g be s\/(-2) + (-111)\/(-3). Let z = 59 - g. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 10:22 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 1469.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166601, -333219, -499835, -666449, -833061?\nAnswer: -999671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 1391 + 1022. What is the remainder when p is divided by (5 - 4)*-1*2 + 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4872526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 489 - 419. Calculate the remainder when r is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(-u - 3*u + 2*u) - 5*u + 3*u + u + 0*u + 2*u + 4*u)*(1 - 31 + 1)*(-4*u**2 + 3*u**2 - 3*u**2).\nAnswer: 348*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1575 - 1571. Let v be (-4)\/(-2) - (-3 - -1). Suppose -v + 2 = -z. Solve -z*x + f = 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 23 + 7. Let g be 1\/(-4) + 26\/40. Let a be 32\/(-156)*6\/8. What is the closest to -2\/5 in t, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*d)*(2 + 0 - 1) + 2 - 2 + 2*d - 14*d + 30*d + 12*d + 2*d - 3*d + 3*d + (2*d + 1 - 1)*(2 + 3 - 3) + 0*d + 4*d - 5*d.\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/(-20) - (-2)\/8. Let z = 8 + -5. Sort v, -0.2, 0.9, z in ascending order.\nAnswer: v, -0.2, 0.9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2482407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/2 - 6066807*c + 12268715725083\/2.\nAnswer: 3*(c - 2022269)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004630855153 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 94*y**3 - 621*y**3.\nAnswer: -715*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41789237\/156735 + 11465\/43. What is the common denominator of -8\/495 and j?\nAnswer: 40095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 22687393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -10\/13 (c) 57 (d) -0.34 (e) -0.04 (f) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 + -32. Let r = b - 106. Let i(y) = y**3 - 2*y**2 - 3*y + 2. What is i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.6, 0.3, 2\/5, 100\/3 in decreasing order.\nAnswer: 100\/3, 0.6, 2\/5, 0.3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*v**2 + 10\/9*v + 2\/9*v**3 + 4\/9.\nAnswer: 2*(v + 1)**2*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = -12. Let g be 2 + 0 + -1 - p. Let o be (-2 + 1)\/((-2)\/g). Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g + 2 - 5*g**2 - 606592*g**4 + 6*g**3 + 9*g + 606590*g**4 to x*g**4 + w*g**3 + j*g**2 + u*g + y and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 + 8*u**4 - 8*u**4 - 3*u**4 + 0*u**4 wrt u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 44?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {a: 1, n: 3, m: 1, u: 5, v: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 - -0.3. Let n = -0.075 - -0.475. What is the closest to -1 in n, 2\/9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -817 - -762. Let k be (((-352)\/o)\/2)\/(2\/5). Solve -k*t - 15 = 7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7367373 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*d - 821 - 821 - 29*d + 51*d)*(-3 - d + 3).\nAnswer: 2*d**2 + 1642*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - 239. Let z = w - -96. Let i = 13 + z. Which is the second biggest value? (a) i (b) 0 (c) -2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 59. Let r = c + 0. Let q be (2 + r\/(-1*4))*-2. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*j + 5. Let f = j - 16. Are f and -15 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + 4*(sqrt(48) + 0))*5.\nAnswer: -19 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 34. Let a = 21.97 - d. Let c = 232.5 - 233. Sort a, c, -0.1 in descending order.\nAnswer: a, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7915.25571 + 8258.255859. Let v = -343 + w. What is v rounded to five decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4909 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 32. Let u = d + -18. Which is the second biggest value? (a) 2 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -93 - -95. Suppose 5*o + 4*p - 28 = o, -3*p + 15 = o. Suppose -5 = -l*m + o. Solve -5*g - 11 = b, g + 23 = -m*g + 2*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.29 + 26.3. Let p = 2.72 - k. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258489425.\nAnswer: 5, 47, 179, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*r = 12, -1 = -2*r - 5. Let t be 9 + -9 + 4\/p. Solve 0 = 2*c - 0 - t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21042 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 30*b - 323. Let j be n(-22). What is the third biggest value in 7, -4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6485671 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5 - 2 = 0. Let q(k) = -5*k**2 + c + 2*k**2 + k + 4*k**2. Let w be 1\/(-2 + 1) + 1. What is q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 1)*(3*a**3 - 16*a**2 - a**3 - a**3) in the form c*a + p + v*a**3 + o*a**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 85 = 690. What is the greatest common factor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0 = 6. Suppose -5*v + 66 = -69. Let w = v - 18. Calculate the smallest common multiple of k and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*v + 85 = 3*v, 0 = 4*j - v - 43. Suppose m - 5*m = -j. Calculate the remainder when 7 is divided by (-2)\/m*3 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/1473635 and 79\/60978?\nAnswer: 8841810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46363823 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 7*m**4\/24 + 35*m**3\/3 - 19*m**2. What are the prime factors of t(0)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18992 divided by -4.\nAnswer: -4748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 153\/(-102) + (-21)\/(-6). Let s(b) be the second derivative of b**5\/20 + b**3\/6 - 4*b. Let m(x) = x. Determine y*m(v) - s(v).\nAnswer: -v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-1 + 5))*-13. Let d = s + -24. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529716707?\nAnswer: 3, 2609, 65147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -3 (c) -3.8771\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/42*(-7 + (4 - -9)). Put -0.2, 0.2, p, -2\/5 in ascending order.\nAnswer: -2\/5, -0.2, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90549 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197456, 197428, 197402, 197378, 197356, 197336?\nAnswer: 197318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20177 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 225*p**2 + 0*p - 65\/216*p**4 + 0 + 1\/180*p**5 + 7\/9*p**3. Solve z(w) = 0 for w.\nAnswer: 2\/3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1325)\/875 + (-8)\/(-10))*273\/(-26)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165296391?\nAnswer: 3, 13, 137, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -445*t**2 + 2391*t - 4. Let p(a) = -1782*a**2 + 9566*a - 15. Let w(k) = 15*n(k) - 4*p(k). What is the second derivative of w(q) wrt q?\nAnswer: 906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((5 - 23) + 13 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/140*-4)\/(5\/25). Suppose 4*w = w + 6. Put n, w, 0, -2.7 in decreasing order.\nAnswer: w, 0, -2.7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i**4 - 4*i**3 - 103*i - 17100?\nAnswer: 20*i**3 - 12*i**2 - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103103 (base 4) in base 3?\nAnswer: 1200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79230 and 760?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/2860*(-100)\/(-5)*2\/30?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2864 + 3029. Suppose 4*i - 5*i = -66. What is the greatest common divisor of u and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4611658, -9223311, -13834964, -18446617, -23058270?\n\"Answer: -4611653*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*n**2 - 5*n**2 - 13*n**2 - 8*n**2 - 4*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.88 rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*g**2 - 95*g**2 - 89*g**2.\nAnswer: -291*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -1. Solve -g = -j*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -2*z + 2*c, 0 = -2*z - 2*c + 12. Let x(g) = g - 8. Calculate x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 780*t - 43801. What is a(56)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -135827 divided by -1173?\nAnswer: 135827\/1173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from nnssosnsnnooonnsosss?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.316577 millilitres?\nAnswer: 0.004316577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -281*b + 5. Let l(g) = 38*g - 54. Let k(i) = -9*i + 12. Let u(n) = -9*k(n) - 2*l(n). Calculate u(d(x)).\nAnswer: -1405*x + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2195.95\nAnswer: -2201.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d0d (base 16) in base 15?\nAnswer: -70d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3069659786 - 1290202874. Let l = -26435611976915\/14856 + u. Let t = l - -1\/1238. Find the common denominator of t and -73\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10 + 7*h - 10)*(2*h**2 + 3*h**2 - 6*h**2) - 5 + 5 - 4*h**3)*((3*h - h + 2*h)*(3 + 1 - 3) + h - 4*h + h).\nAnswer: -22*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 4*k + 2\/3*k**3 - 3*k**2 + 3. Factor v(z).\nAnswer: 2*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 40\/30 + (-3 - 1032\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*v + 30*v**2 - 3*v**5 + 0*v**5 + 9*v**4 + 122657*v**3 - 122620*v**3 + 0*v**4 wrt v.\nAnswer: -180*v**2 + 216*v + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3230*m + 3230*m + 37*m**2.\nAnswer: 37*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**43)**(-34)\/(o**(1\/10)\/(o*o**(-38)\/o*o*o*o*o)) assuming o is positive.\nAnswer: o**(-14961\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 94 = 5*d + 14*t, 2*d = -3*t - 11. Let q(g) = g**2 - g. Suppose 7*n + 5*u = 4*n + 7, 10 = 5*u. Let v(c) = 3*c**2 - 2*c. What is d*q(x) + n*v(x)?\nAnswer: 2*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 1510 = -1390. Put 2, r, -1519 in decreasing order.\nAnswer: r, 2, -1519","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b + 9. Let a be r(-9). Let v be 1\/4 + a\/(-12). Calculate the common denominator of 17\/v*125\/10 and 45\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-182)\/65*-10))\/((-4)\/(-7))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r = -h + 52*r, 0 = r - 8 + 2. Solve 0 = -4*m + l - 14, -m + 5*m = -4*l - h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihiihgiipssh. What is prob of picking 1 h and 2 i?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 16 = 1. Let h be 6\/(-3 + 1 - -4). Suppose 18 = 2*s + 3*a, 2*a + 14 = h*s - 0*a. Solve 14 = -g*z - s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279 - 120*s**2 - 833 + 277 + 277 - 127*s**2 + 241*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + 38 + -15 + -72?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -995 = 4*w + 2*q - 931, -87*q - 234 = 4*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4735 + 6688. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sggggsgggggsgggb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 - -3.7. Let d = -5.3 + -1.7. Let t = -3 - d. What is the smallest value in -4, t, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**4\/24 - t**3\/6 - 2*t**2. Suppose w - 25 = -4*b, -b + 18*w - 21*w + 9 = 0. Let m be b\/(30\/(-25)) + 4. What is p(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 10:15 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 46*y + 3. Let v be w(15). Suppose 25*t - 38*t + v = 0. Calculate the lowest common multiple of t and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -8\/7*c + 15\/7*c**2 + 6 + 8\/21*c**3. What is i in u(i) = 0?\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/49 in 0.5, 5, 12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2229660 + -6?\nAnswer: -2229666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-8) - -1)*(1 - -3). Which is the smallest value? (a) -12 (b) d (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385127335?\nAnswer: 5, 2851, 27017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(-1150)*(-391)\/85?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*n - 2 = -78*n. Let h(u) = 9*u**2 - u. What is the remainder when h(n) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 546a623 + 147?\nAnswer: 546a76a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*b = -4, 4*b + 49 - 39 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 380*z**6 - 39*z**6 + 122*z**2 - 19*z**2 + 21*z**6 wrt z.\nAnswer: 43440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 58*j**2 + 11*j. Let l(g) = 2*g**2. What is n(l(z))?\nAnswer: 232*z**4 + 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 120 = -2*r. Let m = -32 + r. Let g be 2\/(-12) + (-50)\/(-12). Calculate the highest common factor of m and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8*n = 11*n - 26, -2*x + 3*n + 70 = 0. Suppose -x*g + 14*g - 36 = 0. Which is greater: -17\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.009 - -7506.\nAnswer: 7506.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0158 + -0.1158. Which is the third smallest value? (a) 0.4 (b) -0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/25255 and -17\/535?\nAnswer: 2702285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15.5, -272, 0, 5?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20026165 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5476*u**2\/7 + 3552*u\/7 - 576\/7.\nAnswer: -4*(37*u - 12)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971655195?\nAnswer: 5, 394331039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 1. Let p be (-9 + 4)\/(-5)*-1. Let t be s(p). Determine l, given that -8\/7*l + 6\/7*l**4 - 4\/7*l**2 + 8\/7*l**t - 2\/7 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 1. Let j be q(0). Is 2 + 35 - (-4 - j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02059795 + 14.\nAnswer: 14.02059795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1298386 + 5.\nAnswer: 1298391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 21*v**2 - 20*v - 27. Let x be h(22). Solve 3*b = -2*w - x, b = 5*b - 3*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-35 - (-10 - -21)) + 12 + -7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2976185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -718 by 6.\nAnswer: -359\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47510, 47519, 47532, 47549, 47570?\n\"Answer: 2*d**2 + 3*d + 47505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*h + 6*z - 2*z - 143, -5*h + z - 55 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b - 366 - 2*b + b**3 + 15*b**2 + 715 - 362. Calculate y(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -7 - 50 - -47?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*q = -x + 2358 - 2200, 5*x + 13*q = -370 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*r = -s + 24607 - 25252, -s + 5*r = -75 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**5 - 135*v**4 - 366*v**3 + 540*v**2 + 1512*v = 0.\nAnswer: -42, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17*v + 2. Let d(b) = -1018*b. Give p(d(q)).\nAnswer: 17306*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2a7711 (base 11) to base 16\nAnswer: 74de0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 6*v - 13 = -11, 0 = 5*t - 3*v - 55 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 z, and 1 r when three letters picked without replacement from {k: 2, r: 2, m: 1, z: 1, i: 3, e: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 - 30*c**2 - 23*c + 42*c**2 - 75 to v*c**2 + g*c + w and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 12*g + 2. What is the units digit of p(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 694 = -d. Let v = d + -69. Let x = -133 + v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1183.1 in 1, 0.1, 0.2, 4\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3c (base 13) to base 9\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195631 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 45. Suppose c*n = 5*o + 2*n + 20, -2*o + 5*n + 9 = 0. Let m be (64\/(-12))\/o + (-4)\/(-3). Solve m*s + 1 = 3*g + 13, -4*s = g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and (-122310)\/(-765) + 2\/17?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547550685 a multiple of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46, -51, -76, -133, -234, -391, -616, -921?\n\"Answer: -2*n**3 + 2*n**2 + 3*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2960777 is divided by 58054?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -1016, 6, 5, -2, 1, -3 in descending order.\nAnswer: 6, 5, 1, -1\/11, -2, -3, -1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 3245?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 55*r - 1. Let w be q(-3). Let a = 238 + w. What is the greatest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212383\/286440 - -1\/4774. What is the common denominator of d and -73\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y*y*y**(1\/6)*y)**(-14)*(y**(-2)\/(y**2*y))\/(y**6*y**(-6)) assuming y is positive.\nAnswer: y**(-232\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-10)\/g**(-5)*(g*(g**(-2\/17)\/g)\/g)**(-4\/7))**36 assuming g is positive.\nAnswer: g**(-18684\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 24*d - 43911 = 29*d. Is -861 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283291 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: Find n, given that 1936*n**2 + 128*n**4 - 30*n**3 - 14*n**5 - 909*n**2 - 24*n - 268*n**3 - 819*n**2 = 0.\nAnswer: 0, 1\/7, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*d - 32, 25*y - 29*y = 4*d + 32 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -58.6.\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 3. Let m be s(-6). Let r = 260 + -261. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34984 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-4\/3)*r)\/r*r**(4\/9))\/(r\/((r\/r**(-2\/9))\/r)*r**(-3\/10)) assuming r is positive.\nAnswer: r**(-41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-3)\/60)\/((33*50\/825)\/(-10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = i - 347. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 106 - 635\/6. Is x at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0516 times -3?\nAnswer: -0.1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4189.08756 rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + y**2)*(-2*y + 9 + 9 + 4) as g*y + d + z*y**3 + i*y**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**3*x**2 - 1605*c**3*x + 1542*x**2 - 22 wrt c?\nAnswer: 15*c**2*x**2 - 4815*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 7:32 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6 = 3*o + o, 2*b - 1 = -o. Calculate the lowest common multiple of 6\/14 + (b - (-180)\/21) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221913 divided by 73971.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/(-16))\/((-4)\/288)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*m + 170*a**2 + 2*a*m**2 - 112*m**2 wrt a?\nAnswer: 2*a*m + 340*a + 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8572?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/1389?\nAnswer: 8\/1389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -779*i - 1013*i + 2085*i - 2 - 920*i in the form o + r*i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18582 + -255 - (-5)\/(15\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Solve -2 = 2*n + j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/7 + 27764*c\/7 + 1624944.\nAnswer: -4*(c - 7329)*(c + 388)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = -3*z - 19, 5*x = -z - 17. Let y = x - 0. Let r = y - 2. Round r to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8522*f = 8513*f + 72 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h + 161 = 623. Let d(r) = -3*r - 11. Let u(o) = 8*o + 33. Let i(z) = -17*d(z) - 6*u(z). Calculate i(h).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*u + u. Let b be 2229997 - (-2 + u)*1. Round b to the nearest 100000.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1336 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12036 * -113\nAnswer: 1360068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyvfyyyzfzyy. Give prob of picking 1 v, 2 z, and 1 y.\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = -708. Find the common denominator of (-9)\/6*p\/12 and 137\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/18 and 23\/136.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34531 and 60193.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1178154 millimeters in micrometers?\nAnswer: 117.8154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12985, 26136, 39287, 52438?\nAnswer: 65589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*o - 118 = 0, -134 = -5*g + g + 3*o. Let c = 403044 - 402903. Calculate the remainder when c is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 8*g**2 + 4*g - 21. Let v be x(-7). Which is the second smallest value? (a) -5 (b) 0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*l, -5*h - 5*l = -2*h. What is the closest to h in -0.1, -0.5, -10, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)*k*k*((k**(-1)\/k*k)\/k)\/k)\/(k*k*k*k**(-5)*k*k*k\/(k\/k**(-3))))**(-2\/179) assuming k is positive.\nAnswer: k**(8\/179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 378\/12*-1?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57292625?\nAnswer: 5, 13, 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -61. Suppose -a + 2229 + 647 = z*r, a = -2*r + 1148. Let c = r - 396. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 14*a - 30 = 15*a, 5*o - 45 = 4*a. What is the nearest to -2 in 2\/15, 13, o, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53916 = 5*h + 2*j + 53960, 0 = j + 2 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 37 + 59 + 16 = 0. Sort -75, 3, -5, h in decreasing order.\nAnswer: 3, h, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -6*f + 6. Suppose 8*l - 10 = f*l. Suppose -l*t + 90 = 5*c, -7*t + 5*c = -2*t - 50. Calculate the remainder when t is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38216046 divided by 2\nAnswer: -19108023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 87 and 30954368.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21090 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 188650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -195\/8 + 24. Let b = -36.91 + 38. Let x = 0.09 - b. What is the nearest to x in 5, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8310 and 82546.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 1248 = -5*r - 1339, 0 = 4*r + 2*g + 74. Which is the biggest value? (a) 19 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1962 - -1962.17. Which is the closest to -0.3? (a) i (b) 3 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-222*4\/32 + 18)*4\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47 * -28.2.\nAnswer: 1325.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = 8. Let y = j + -1. Let k be y\/13*(-2)\/3. What is the second smallest value in -1, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Suppose -25*b + 3558 - 3683 = 0. Let j be (44\/(-20))\/((-3)\/15). Sort j, q, b in decreasing order.\nAnswer: j, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19525 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*m - 784 = 122*m. What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8953 + 8961. Let f(k) be the second derivative of -15*k**2 - 11\/2*k**3 + 0 - u*k. Differentiate f(s) with respect to s.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/9 - 4\/(-6). What is the second derivative of -20*g - 7*g**o + 11*g + 2*g wrt g?\nAnswer: -84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7817*z - 152643 - 152647 + 305290.\nAnswer: -7817*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 8. Let s be 1*6\/(5 + -2). Suppose -3*q = s*q - 20. Solve -2 + 0 = -h - q*i, i = -h + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8058088 or 8058086?\nAnswer: 8058088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87.875 - -12.875. Let p = -20 - 57. Let i = p - u. Sort 0.05, i, 5\/2, 2 in increasing order.\nAnswer: i, 0.05, 2, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((360\/54)\/10)\/(-4)*0. Let j be (-4)\/(-14) + 60\/(-14). Sort l, j, 1, 8 in descending order.\nAnswer: 8, 1, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 14. Suppose -2*r + 6*r = -v*w - 16, -2*r + 3*w + 14 = 0. Suppose b - r = 3. Solve -i = 4*j - 19, 2*i + 6*j - b*j = 14 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -11)\/(9\/6). Suppose -4*b + 1 = -7. Suppose -14 = b*o - 0. Is o > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4823\/441 + ((-8)\/14 - (-638)\/1827).\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j = -43*j. Let d(q) be the second derivative of 1\/28*q**7 + 0*q**5 + q - 1\/20*q**6 + 0 + j*q**3 + 0*q**2 + 0*q**4. Factor d(i).\nAnswer: 3*i**4*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 5*w - 2364 + 2452, 80 = -5*d + 5*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 + 11*z - 1. What is the lowest common multiple of 10 and k(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2*u**4 - 938*l**2 + 5*l*u**2 + 62*l - 13453078*u**5 wrt u?\nAnswer: 48*l**2*u - 807184680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s - 11 + 9\/2*s**4 - 8\/3*s**3 + 0*s**2. What is the third derivative of m(y) wrt y?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/10)\/((-1)\/(20\/(-8))). List the prime factors of (1 - u)*(-763)\/(-21).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/40*1*(285\/3)\/5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 4209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 3*r**2 + 3. Let f be b(-3). Find the second derivative of -12*n - 28*n**3 - 26*n**4 - 28*n**3 + 56*n**f wrt n.\nAnswer: -312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, m: 3, k: 4, f: 5, z: 3}. Give prob of sequence kkk.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*r - 1229816 = -9960743. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*t**2 - 31*t**2 + 27*t**2 + (3*t + 3*t - 3*t)*(2*t - t + 0*t) as f + c*t**2 + y*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w - 19*w**4 - w**2 + 24*w**4 + w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4*3\/9. Let s = -0.3 - 3.7. Which is the third smallest value? (a) q (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -468d (base 15) in base 10?\nAnswer: -14983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 282439344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*w**2 + 4 - 4 - 26*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38881905.\nAnswer: 3, 5, 31, 83617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135\/7 + -19. Let v = 10.6 + -1.6. Let m = -5 + v. Which is the nearest to h? (a) m (b) 3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-44) + (-117)\/(-396)*4. What is the closest to w in 0.2, -1.8, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:58 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22.56, 1\/6, 0.4, -1\/3 in increasing order.\nAnswer: -22.56, -1\/3, 0, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61412632 is divided by 689.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/25 - 7\/(-20). Let d = -0.4 - 0. Let k = 19.6 + -14.6. Which is the nearest to t? (a) k (b) d (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62338 + 124679\/2. Factor m - 1\/6*g**2 + 4\/3*g.\nAnswer: -(g - 9)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/16065 and 1\/1458855.\nAnswer: 30635955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28698\/14 - (-5)\/(35\/1). What is m rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 34*z - 32. Let s be o(15). Solve 157 = -s*b - 11 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 k when four letters picked without replacement from mmkkkkkmmmkk?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -18*o - 4. Let t be h(-2). Suppose f + 1 = -t. Find the common denominator of 1 + 0 - f\/42 and -49\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {z: 4, e: 9, t: 6}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (45*(-50)\/27000)\/(2\/78)?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1396*c - 361*c - 252*c**4 + 0*c**3 - 151*c + 0*c**3 wrt c?\nAnswer: -3024*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -256*d**2*r - 1903*d**2*w + d*r*w + 2*d*r - 2*d + 3*r*w + 2*w - 1 wrt r?\nAnswer: -256*d**2 + d*w + 2*d + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 3*l - 2. Let j be p(-4). Differentiate -2 + j + 2*s - 2 with respect to s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81\/805 in -2\/25, -0.1, 1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.38 and 3.54.\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = m - 4*i - 50, 4*m + 12 = 2*i. Let u(k) = -3*k**2 + 8*k - 1. Let w(d) = d. Let o(n) = -2*n + 2. Let s be o(-2). Determine m*u(v) + s*w(v).\nAnswer: 3*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)*s**0)\/(s\/s**1)**(-1\/2)*(s\/s**(-1))**(-49)*s**(1\/6)\/(s\/s**(3\/8)*s) assuming s is positive.\nAnswer: s**(-2411\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6*m + 10. Let j(v) = -16*v + 4. Let d be j(m). Suppose 32 = 5*q - 5*n - 13, -2*q - 4*n + d = 0. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8305 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13606 (base 7) to base 11.\nAnswer: 2891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - -23.2. Round w to zero decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 12*p**2 - 196 - 6*p**2 - 23*p - 22*p**2.\nAnswer: -40*p**2 - 23*p - 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -0*y. Suppose 2*a = -y + 7. Suppose 3*z = -5*h + 8, 0 = -2*z - 0*z + h + 14. Solve -b - a*b = -z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = -9. Let y(a) = 2*a - 5. Let t = -18 - -25. Let u be y(t). What is the greatest common factor of m and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200303001221 (base 4) to base 9\nAnswer: -17153628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38256, 38252, 38248, 38244, 38240?\n\"Answer: -4*o + 38260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209747857 divided by 37.\nAnswer: 5668861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000062 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464770 divided by 11737.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**4 - 10*h**3 - 17*h**2 - 9*h + 3. Let v(d) = 6*d**4 + 30*d**3 + 50*d**2 + 26*d - 8. Let k(y) = -8*s(y) - 3*v(y). Factor k(a).\nAnswer: -2*a*(a + 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 31. Give x(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9222 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 43*i + 1915. Determine o(71).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -890*h**3 - 10*h + 40. Let x(q) = -2*q**3 - q + 4. What is -2*j(a) + 20*x(a)?\nAnswer: 1740*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, -1035, -4831, -13047, -27357, -49435, -80955, -123591?\n\"Answer: -279*p**3 + 301*p**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbbbbbbbbbbbhbb.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvhvvvvvvvvvvvvvv. Give prob of picking 2 v.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*j = 4*x + 1766 - 1644, -2*x - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*t)*(-103 + 266 + 171 + 59 + 129).\nAnswer: -1044*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 1, -49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5) + ((sqrt(30)\/sqrt(2) - sqrt(15))\/sqrt(3))**2 + -2.\nAnswer: -2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 0 + 18*f**2 + 0. Let u(z) = -139*z + 30. Let k(a) = 56*a - 12. Let r(w) = -10*k(w) - 4*u(w). Calculate i(r(j)).\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254307 is divided by 1980?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**42\/(k\/(k*(k\/(k\/(k**(-2)*k)))\/k*k*k))**(-12) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*t**2 - 81*t**2 - 46*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (15 - 6 - (4 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 + 11*l**3 - 11*l**3.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = -4*u + 39. Let o(j) = 3*j**2 - 10*j + 14. Let b be o(u). Solve 0 = 7*i + 24 + b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddhdhhqddrnhrdrd. What is prob of sequence nd?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 134560 = 3*d - 134569, -5*x = -d - 29 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11)\/(275\/(-72698)) - (-4)\/50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5919645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82 in -20, 0, -148689?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 225.6*309.7\nAnswer: 69868.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599 - 3239 = -220*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from {t: 2, q: 2, w: 1, j: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 2*n + 12. Let s be u(-3). Let y be 1*12\/s*(-3)\/2. What is the common denominator of 107\/12 and ((-4)\/y)\/((-160)\/(-568))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*v - 13185 + 4534 = 5919 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 546 = -v, 268 = 9*a - 7*a + 2*v. Calculate the smallest common multiple of a and 6.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h - 3. Let m be s(10). Let z = 68 + m. Let v = z + -29. Calculate the lowest common multiple of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2450)\/(-18) + 5\/180*-4. Suppose 2*c + o = 5*v, -3*v - 14*c + 86 = -13*c. Which is greater: v or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(85) - (sqrt(85) + (3*sqrt(85) - sqrt(85)) + sqrt(85)) - sqrt(85))\/sqrt(5) + sqrt(1088)*4 + 3)**2.\nAnswer: 168*sqrt(17) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-2\/13))\/u)\/(u**(-7)*u))**(34\/7) assuming u is positive.\nAnswer: u**(2720\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11d - a9?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 n, and 1 o when four letters picked without replacement from {o: 3, g: 4, n: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 2:28 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. What is the first derivative of -3*s**4 + 1 - w + 2*s**4 wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x - 4. Suppose -b + 6*b + 40 = 0. Let m = x - b. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w**2 + 484*w - 319. What is n(80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(-5661*x - 2493*x + 294*x - 1515*x - 495*x - 1756*x).\nAnswer: -34878*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 569*u - 27819. Calculate m(54).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 11*x**2 + 84*x + 201. List the prime factors of p(-18).\nAnswer: 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 - 1796479084*r + 403417137406184882 = 0.\nAnswer: 449119771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -294 - -635. Let q = g + -149. Calculate the greatest common divisor of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22425.3 and 1.\nAnswer: 22425.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 5. Let l be w(3). Suppose 4*o - 65 = -5*k, -l*o + 2*k = -4*o + 30. Let b = 13 - o. Are b and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 56) + 75 + -102 + 45 - 9.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as 67.616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 79\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 46505 divided by 49\nAnswer: 46505\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -u, 4*p + 0*u = 3*u + 8. Let z(j) = -j**2 + 4*j + 1. Let c be z(3). Suppose -c*q - 9 = -7*q. Solve 2*d = q*d - p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -98, 416, 1566, 3352, 5774, 8832?\n\"Answer: 318*k**2 - 440*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 6. Let g(r) = -r**2 - 6*r + 13. Let j be g(-7). Let b be m(j). What is the remainder when 43 is divided by (-22 - -24)*(b + 30\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.337+-912833\nAnswer: -912835.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -492 divided by 6.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*r**2 + 6*r**2 - 9*r**2)*(2*r - 2*r - 3*r**2) - 3*r**4 + 4*r**4 - 3*r**4 to the form n*r**4 + x*r**3 + j*r**2 + c*r + v and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7182, -7209, -7266, -7365, -7518, -7737, -8034, -8421?\nAnswer: -8910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4011842, 8023711, 12035580, 16047449, 20059318, 24071187?\nAnswer: 28083056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722 (base 11) in base 14?\nAnswer: b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 28 = 5*u, -u - 3*r = -2*u. Suppose 2*b + 4*d - 86 = 0, -d - d = -u. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 68. Suppose 4*d + d - 30 = 0. Find the third derivative of -71*o**6 - o**2 + z*o**d + 2*o**2 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f = 59*f - 378. Suppose 44*m - 47*m = -f. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/7)*f**(3\/5))\/((f*f*f**(2\/11)*f)\/(f\/(f**(2\/5)*f))))**(-1) assuming f is positive.\nAnswer: f**(1093\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3 + 101)*(-4 - 5*a + 4 + (-4*a - 4*a + 4*a)*(1 + 3 - 5))*(0*a**3 - 2*a**3 + 0*a**3).\nAnswer: 188*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201394\/101 + -1*5.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*j + 30 = 270*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3924, 4085, 4108, 3999, 3764, 3409, 2940?\n\"Answer: x**3 - 75*x**2 + 379*x + 3619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r + q + 3, 0 = 2*r + 4*q - 28. Suppose -r*b = -b - 4*k, 0 = 2*k. Do 4\/5 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 15*h + 13 + 6 + 18*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -58. Let b be (-2 + o + 0)\/(-1) - -89. What is the greatest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 4 (c) -6.9 (d) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**2))\/(x\/x**0))\/((x*x**1)\/(x\/x**(1\/3))) assuming x is positive.\nAnswer: x**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 10. What are the prime factors of ((-21)\/h)\/(4\/(-8))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-30) - 1)\/(6\/(-30)). Suppose 2*n + 27 - 31 = 0. Solve -6*r = -r + p - 12, n*r = -5*p - d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -72.471.\nAnswer: -73.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1, 1, 0.4, -987405?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 1439051*w**2 + 12942912835867*w\/5 + 38828803264923\/5.\nAnswer: (w - 3597629)**2*(w + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 9*a - 11. Let f be u(11). Suppose -3 - 52 = -f*o. Solve l + o*x = 4, 3*l + 4 - 16 = -3*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -190.1585031 - -385.5675333. Let l = -133.409015 + c. Let a = -62 + l. Round a to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103112 (base 4) to base 8.\nAnswer: -12326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -86. Suppose -4*m - r = -9*m. Solve 2*k = 3*k + m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2453 + 4377. What are the prime factors of g?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktgkkkcukcukck. What is prob of sequence gtcc?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -3, -4\/5, 0.3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6284 - -8.53\nAnswer: 6292.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.535459l to millilitres.\nAnswer: 1535.459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(44))**2 + ((sqrt(11) - (sqrt(11) + 0 - sqrt(11))**2) + sqrt(11))*-2 + -1)*1.\nAnswer: -4*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 2*f - 24 = 0. Let u = f - 3. Solve u = -h - 2*w - 6 + 19, 16 = -3*h + 5*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 0*q - 36 + 39 + (1 + q - 1)*(-1 - 1 + 1) to the form n + i*q and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -2 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3968 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: Let c = -41 - -41.19. Let b = -91 + 90.784. Let z = c + b. What is z rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90 - 184 + 30 - 72 + 2*l - 63 in the form d*l + i and give i.\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -12\/13, 2\/5?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 6:38 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 - 2940*t**4 + 2937*t**3 = 0. What is t?\nAnswer: 0, 1, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 33*b**2 + 516*b + 16380. Give l(-34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -26*t - 4. Let c(z) = 1. Calculate 4*c(j) + n(j).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 3*u + u - 17 - 18*u + u.\nAnswer: -4*u - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -321, -640, -959?\n\"Answer: -319*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**5 + 6*o**2. Let v(y) = -y**5 - y**2. Let n(d) = 2*v(d) + w(d). Find the third derivative of n(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 8*f**2 - f - 8. Let j be ((-8)\/(-10))\/((-5)\/50). Let q be u(j). Let b be q\/(4\/2) - -2. Put 4, b, -3 in increasing order.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27245217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 3)\/(-1) + -2. Suppose 5*d - 243 = -2*w, 0*d - 5*d + v*w + 223 = 0. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-40)*71315\/839\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235160 - 4?\nAnswer: -235164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2. Let l(o) = -1427*o**2. What is h(l(c))?\nAnswer: -6108987*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10109 > 10113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 5*o + 7193 + o + o.\nAnswer: 3*o + 7193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.014551362739 - 3.1.\nAnswer: -3.085448637261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + -4?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -39*o**5\/20 + 5*o**4\/12 - 7*o**3\/6 + 21*o. Find the third derivative of m(j) wrt j.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54850?\nAnswer: 2, 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 86571677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**7\/2520 + j**6\/720 - j**5\/20 - 2*j**4 + 27*j. Let s(n) be the third derivative of u(n). Is s(-6) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + 4 + -7 - 2) + (-68 - -53)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*v - 446*v**2 + 61*v - 28*v.\nAnswer: -446*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -619*z = -607*z - 36. Solve -33*s - 21 = -31*s + 5*k, 5*s = -z*k - 24 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/((t*t\/(t**(-9)\/t))\/t))\/t*t\/t**(-11\/5) assuming t is positive.\nAnswer: t**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4296, -4194, -4018, -3762, -3420, -2986, -2454, -1818?\n\"Answer: n**3 + 31*n**2 + 2*n - 4330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 95. Let w = x + -4. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 144, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 55*(-198)\/(-7260)*((-5)\/(-1))\/(27\/(-234))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of y**7\/2520 + y**6\/120 + y**5\/40 + y**4\/24 - 5*y**2. Let o(f) be the second derivative of w(f). Calculate o(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + c**3 + 0*c**3)*(0*c**2 + 0*c**2 - 3*c**2) + 3*c**5 - 2*c + 2*c - 2*c**5 - 2*c**5 + 2*c**5.\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/7 and -19\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 16*i**2 + 24*i - 21. List the prime factors of a(-9).\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -9. Let h(u) be the second derivative of u**2 + 0 + i*u**3 + 1\/4*u**4 + u. Differentiate h(p) wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -880, 296, -66 in decreasing order.\nAnswer: 296, 0, -66, -880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 298*s**2 + 885*s.\nAnswer: s*(s - 295)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + sqrt(1008) + 1*sqrt(1008) + (5 + (1 + sqrt(1008))*-3)**2.\nAnswer: -120*sqrt(7) + 9077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32\/185 - 1\/37. Let d be (-12)\/9 - 5\/(-6). What is the nearest to d in 2, -1\/3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54 - 62 + 4)*(6*w - w - w)*(-1 + 8*w**2 + 1).\nAnswer: -3584*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*f + 75*f - 1274 = 0. Suppose -3*y + 4*s - 18 = 0, 5*s - 17 = 3*y + 4. Let r(t) = -t. Let g be r(y). Solve -20 = g*k - f*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -5. Let z = 47 - x. Suppose 2*o - 73 = 3*r, 3*o + 2*r = 4*o - z. What is the remainder when o is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 275032868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98220009*0.2.\nAnswer: -19644001.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.01 from 3.\nAnswer: 8.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007711 rounded to 5 decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.17, -1\/5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53bd6 (base 16) to base 2.\nAnswer: 1010011101111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28719061?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 3874000*s - 166589396.\nAnswer: 4*(s - 43)*(s + 968543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131*j**3*m - 176*m wrt j?\nAnswer: 393*j**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*n + 62 = 0, 9 - 4 = -3*s + n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-133)\/((-3)\/9*3). Let s = 324 - r. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 7:41 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 0, -3741, 9 in decreasing order.\nAnswer: 9, 1, 0, -2, -3741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*v = v + 22, -5*v - 20 = 0. Solve 2 = f - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05571 - 0.053426. Round u to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2183081 minus -34.38?\nAnswer: -2183046.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9359)\/147 + 63)*6\/8*86.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - (7 + 14*8\/(-48)))*3. Sort y, 6, -103, 0, 1.\nAnswer: -103, 0, 1, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s + 10*s + 12*s**2 - 4*s. Let l(a) = -3*a + 4. Let d(r) be the first derivative of -r**2 + 3*r + 3. Let x(z) = -4*d(z) + 3*l(z). Give x(c(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -45202, -17.\nAnswer: -45202, -53, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 1. Let i be p(1). Let s be 4\/(1 + 1 - i). Which is greater: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 236 by 4.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990 and 115698.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*c + 4 + (1 + 4 - 4)*(0*c - 4*c + 3*c) + c - 3*c + c + 2*c - 4*c + 3*c)*(-4*c**2 + 5*c - 5*c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q**(-35)\/q))\/q)\/q)\/(q\/q**(-2\/9)*q) assuming q is positive.\nAnswer: q**(304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n = -5*j - 30, -j = -2*n + 15. Solve -n*a - 14 = 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1362?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486732 is divided by 555.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -3*d**4\/4 + 1103*d**3\/4 + 207*d**2\/2 + 6447. Factor y(a).\nAnswer: -3*a*(a - 276)*(4*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -4*a**7\/21 - a**3 - a. What is the second derivative of h(p) wrt p?\nAnswer: -160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**3 + 1. Let a(k) = -2*k**2. Give a(p(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41226 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 = -b, 9*b = 5*u + 4*b - 10. Let c(f) = -6*f - 7. Let x(k) = 5*k + 8. Give u*x(z) + 4*c(z).\nAnswer: z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4094, -16367, -36816, -65435, -102218?\n\"Answer: u**3 - 4094*u**2 + 2*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3360, 3357, 3344, 3315, 3264, 3185, 3072?\nAnswer: 2919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2\/(-9)) + 13\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z**3 - 89881*z**2 - 7*z + 89881*z**2)*(2 + z**2 - 2).\nAnswer: 25*z**5 - 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13058*m + 6800 = -26422*m + 13228*m for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + -131. Let t = q - -0.1. What is t rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1035 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 2, 799, 0, -4.\nAnswer: -109, -4, 0, 2, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 - 11*j + 33. Determine z(4).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - o = 33, -12 = 4*o. Let p = 23 + i. Suppose 3*c = 5*h, -4*h + p = -8*h + 5*c. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-1)\/(-1) + (-42)\/(-21))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/2248 and -105\/14798584.\nAnswer: 14798584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (1*(sqrt(84) + sqrt(84)*-1) - sqrt(84)) - 2*sqrt(84)*2)\/(sqrt(24)\/(-3*sqrt(200))).\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11*2 + (-2 - -6). Let m be -1*2\/((-4)\/s). What is the tens digit of (-587)\/m + 4\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 142 = 2*i, -4*i - 171 = -z - 37. Suppose 3*k = 3*m - z, 0 = -m - 4*k + 65. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 - p + 5. Let j be m(-5). Let s be (-3)\/12*(-1540)\/7. Let i be (s\/j)\/((-4)\/(-72)). 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: Solve 8*i - 6394 = 286*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84362 + 43267 = -2635*q + 80115 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.172051 to two decimal places.\nAnswer: -2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*q + 155*q - 302 = 0. Let l = 304 + q. Solve 6*i - l = 8*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqqiqiqqqqqqq. What is prob of sequence qiii?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + (sqrt(171)*-1*-1)\/sqrt(9)))**2*-3 + 4.\nAnswer: -56 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 2, -3, -8, 442, -12 in increasing order.\nAnswer: -12, -8, -3, 2, 50, 442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(-115)\/(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 60*p - 50. Let a(t) = 2*t - 46. Let j = 256 + -267. Let k(u) = u - 25. Let c(h) = j*k(h) + 6*a(h). What is -50*c(i) + g(i)?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 352050930 a multiple of 2849?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 = -8. Suppose -5*r - 1 = -2*m - 31, -4*r + 2*m + 26 = 0. Suppose r*k = 23 - u. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 34.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126.6 - 127. Suppose q - 2 - 3 = 0. Let s be 4*(-2)\/8*-3. Put k, s, q in decreasing order.\nAnswer: q, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/214 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5569 is divided by 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29904, 29888, 29870, 29850, 29828, 29804?\nAnswer: 29778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.064 + -95.064. Let u = 92 + d. What is the nearest to 1 in 0.6, u, 2\/19?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/160 and -27\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -34*4\/12*(-3)\/2. Suppose 15*r - a*r = -28. Solve 6 = -2*w + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/19))\/g**17 assuming g is positive.\nAnswer: g**(-306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 + 2*m - 15*m + 5*m + 2*m - 322.\nAnswer: -6*m - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/17)*a*a*a**(-1\/2))**(-36)\/(a\/(a*a\/(a*a**(-8)))*a*a**(1\/18)*(a\/(a\/((a**(-1\/4)\/a)\/a)*a))**(-47)) assuming a is positive.\nAnswer: a**(-118393\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 1. Let v be (-168)\/44 + (-4)\/22. What is b(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7)*c*c)\/(c*(c**(2\/3)*c)\/c*c))\/((c*c**5)\/c)**(-1\/5) assuming c is positive.\nAnswer: c**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 - 1*(-32 + 12). Solve -f*x + 57 = -63*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 21*c**2 - 3*c + 35. Let j be w(6). Find n, given that -798*n - 3 - 5*n**3 - 7 + j*n - 20*n**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397219919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/(44\/8)*-5. Let g be j\/(-20) + (-7)\/(-2). Let s = 44 + -121\/3. Which is greater: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 763, 1501, 2481, 3697, 5143, 6813?\nAnswer: 8701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:15 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1490.86 * 6.29.\nAnswer: -9377.5094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(931) + 1 + -1 - (1*sqrt(931) + -5) - -2*(sqrt(931)*-2*-2 + sqrt(931)))**2*3.\nAnswer: -279375 - 2100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383, 822, 1263, 1706?\nAnswer: 2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 38. Let f be u(-8). Let b(i) = 53*i**2 + 61*i**f - 115*i**2 - 3*i - 5*i + 10. Calculate b(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-21) - (-2)\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/608*(-72)\/54.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 30 - s - 30. Calculate m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 74. Let h(v) = s*v + v**2 - 37*v. Let c(n) = 4*n**2. Let j(o) = 5*o**2. Let r(f) = -3*c(f) + 2*j(f). Determine r(h(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 29*o - 63. Let n be f(32). Let a be (6\/20)\/(n\/(-22)). Is a at most -19\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6488933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.174 + 8.826. Let y = -3.4 + 3.3. Do y and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6742201 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r**2 + 18*r + 11. Let v(x) = -4*x**2 + 16*x + 10. Let t(h) = 3*p(h) - 4*v(h). Calculate the least common multiple of t(15) and 7.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 11618 + 16052 = -5*y, -5*h = -5*y - 46090. Is h a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11236*q**3 - 2*q + 11235*q**3 + 6*q - 1 in the form x*q**3 + c*q**2 + l*q + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from auufafff.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14\/((-48)\/(-21) - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 10. Let g be r(-8). Let a be 2\/g + 44*4. Suppose -i + a = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 902\/5 + -181. Sort 0.3, 2\/11, l, 3.\nAnswer: l, 2\/11, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {h: 8, u: 6, i: 3, s: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4826.\nAnswer: 3\/4826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1958268.32 from 110.\nAnswer: -1958158.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/(-2) + 2 - -2. Suppose 2*w - 34 - 6 = 0. Is (-45)\/g*24\/w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/130 - (-3 + 230\/(-26)). What is the greatest common divisor of 162 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 26*c + 46. Let x be o(-2). Let u be x\/21 - (-102)\/(-357). Suppose -3*r + p + 7 + 3 = 0, 4*p = -2*r + 16. Solve -2*d + u = -r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n\/(n\/(n*n\/((n\/(n\/(n\/(n**5\/n))))\/n*n))))\/n)*n*((n\/((n**(-10)\/n)\/n))\/n)\/n*n*n**(-5)*n**(2\/19))**26 assuming n is positive.\nAnswer: n**(3016\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 283575.9 millennia in centuries?\nAnswer: 2835759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81*n + 13 - 13 + 8*n + 33*n)*(-7*n**3 - 2*n**3 + 4*n**3) to the form w*n**3 + r*n**2 + q*n**4 + z + g*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2142 and 561?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471*y**2 + 6 + 0*y + 5*y - 8 - 499*y**2 to g*y**2 + l + p*y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - 0.2. Let u = 79 - 73.72. Let s = u + y. What is the second smallest value in 15, s, -4\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*63\/(-56)*(-1)\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8675?\nAnswer: 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 (base 16) in base 15?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1046028708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34784996 to the power of 1\/3, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 106954.\nAnswer: 106957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-73 + -10 + 10. Let r = a - -101. Suppose -17*t + 4631000 = -r*t. What is t rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-612)\/510 + 10542\/10?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.839 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Let n(t) = t**3 + t**2 + t - 1. Let y(r) = 10*r**3 + 4*r**2 + 3*r - 3. Let i(x) = -12*n(x) + 3*y(x). Is i(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 4:16 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/15 - 9994*q**2\/5 + 36053568*q\/5 + 10601031168\/5.\nAnswer: 2*(q - 7632)**2*(q + 273)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -60, 3, 5, 1, -1, -4 in increasing order.\nAnswer: -60, -4, -1, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434 and 6382621?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (25 - (-20 + 28) - 24).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + (-12 - ((-11 - -6) + 5 - 3)) + 5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -s + 28. Let r = -1 + s. Let i = 28 - r. Calculate the greatest common factor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 292052957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3360\/469)\/(-8)*6\/15. Let j = -623\/804 - p. Calculate the common denominator of j and (-22)\/(-86) + (-3)\/(-12).\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*d - y, 232*y = -d + 237*y - 38 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -4 - (6 + -5 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f + 4*f - 7*f - 2)*(-2 - 32*f + 28*f + 20*f).\nAnswer: -336*f**2 + 10*f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 6:59 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 118657142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141041 (base 8) in base 2?\nAnswer: 1001100001000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 0*m**2 - 2*m**2 + (37 + 35*m**2 - 37)*(-2 + 5 - 2).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157208 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 3*r - 4. Let y be a(-6). Suppose -4*g + y = 3*s, -5*s + 6*g = 3*g - 4. Let j = 2 - s. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*x - 5*x - 33*x to the form p*x + f and give p.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -16*o + 4. Calculate n(-10).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*l - 48*l + 14*l + 3*l to h + f*l and give f.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i + 4*c - 4, i = -4*c - 8. Suppose i = -j - 3*l + 19, 4*j = 5*l - 2*l + 61. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1361 (base 15) to base 2\nAnswer: -1000000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -262 divided by -329\nAnswer: 262\/329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -23 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, 18, 103, 226, 387, 586?\n\"Answer: 19*p**2 - 10*p - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - -1 - (-5 - 1). Suppose -4*s = y - 111. Suppose a - 38 = r, -4*a - r + 121 + s = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 - -2.12. Suppose -2*r = -r + 46. Let l be r\/11 + 2\/11. What is the third biggest value in q, 5\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 2. Let s be y(-4). Let v(j) = 2*j**2 - 27*j. Let t be v(s). Solve 3*d + 4*h + 5 = t, -5*d = -h - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 6. Let x(n) = -1. Let b(t) = -c(t) - 6*x(t). Let u be 9*(7\/3 - 2). Determine b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10983 - 6959. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + -4. Let f = o + 29. Let j = -0.000052 + f. What is j rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -175, -172, -159, -130, -79, 0, 113?\n\"Answer: g**3 - g**2 - g - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Determine z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*m - 27*m - 19*m + 450. What is the highest common factor of m and 408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(156) - sqrt(156) - sqrt(156))*-2)\/(sqrt(12) - sqrt(192)*4)*-1.\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 76*u + 177*u + 205*u - 1 + 112*u as w + o*u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s - 157*s + 2633 = -836 + 631 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = z - 5*z - 23, 4*k + 2*z = 60. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.4, -2\/7, 3, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -88\/7965 and 49\/45.\nAnswer: 7965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 6:55 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -46 + -1 + (19 + -17 + -24 - -15)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/8 in 2, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 36072399 divided by 473\nAnswer: 76263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - h**2 + 30577*h**3 - 30523*h**3 + 5*h**2 - h**2 - 3.\nAnswer: 54*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-122 - 238 - 120 - 112 - 362)*(-21*u - 11*u + 31*u) to the form v + g*u and give g.\nAnswer: 954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 11*s**2 - 10*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 70*u + 657. Let m(z) = -4*z**2 - 187*z - 1972. Let h(n) = -2*m(n) - 7*p(n). Differentiate h(q) with respect to q.\nAnswer: 2*q - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312050 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20943 + 65*r + 0*r**2 - 2*r**2 - 20943.\nAnswer: -2*r**2 + 65*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 5)*(-376 + 221 + 187)*(15*z - 6*z - 27*z - 9*z - 55*z).\nAnswer: -7872*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1421486987?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/95? (a) -2.75 (b) -2\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4 - 9*q**3 - 873*q**2 - 831*q + 1710 = 0?\nAnswer: -15, -2, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2914 + 70 = 12*k. Let z = -232 - k. Sort z, 11, 2\/13 in descending order.\nAnswer: 11, z, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324162 (base 8) to base 2.\nAnswer: -11010100001110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 1.15. Let f = s + 2.55. Let v = -3 + f. Sort 2, v, -4.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from ppdpddcdiizceezdddd.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 673582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -343 <= -343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 436\/30 + 4\/6. Let a = d - 12. Factor 0 - 1\/5*t**2 - 8\/5*t**3 + 0*t - a*t**4.\nAnswer: -t**2*(4*t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7101927.65758 + 112.65758. Let q = 7102115.00254 + c. Let f = q - 300. Round f to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54 + 72 - 6)*(3 - 3 - 8*k)*(-k - 5 + 5).\nAnswer: 960*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddldsdddlhlldldh. What is prob of sequence ddll?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32452 or -32453?\nAnswer: -32452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -40 - (8 - (9 + 19))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/13, -1\/3, 42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/(p**3*p*p)*p*p**(2\/3) assuming p is positive.\nAnswer: p**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1566146 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3 + -1 - 78\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40298227 divided by 3\nAnswer: -40298227\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let j(n) = -8*n. Let t(d) = -38*d. Let m(w) = -11*j(w) + 2*t(w). Calculate m(h(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1606, 1599, 1588, 1573?\n\"Answer: -2*f**2 - f + 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4316 and 23572?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from yyymvym.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 + -216 - (7 + -1 + -7)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - -20 - 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84 or -93992?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -59242786 and -282.\nAnswer: -59243068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7165860 to the nearest ten thousand.\nAnswer: -7170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 8 = 2*p. Let u = 11 + -8. Solve 0 = 3*k + p + 13, 2*k + 7 = -u*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01339 - 0.01339. Put -0.5, n, 3\/137 in decreasing order.\nAnswer: 3\/137, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/1261 and -54\/3809?\nAnswer: 369473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5740838 seconds in milliseconds?\nAnswer: 574.0838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/42*-15*((-85)\/(-15) + -5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t. Let s(z) = -z + 1. What is 2*r(n) - 3*s(n)?\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -29. Let k(g) = -18*g**2 + g - 17. Let a(q) = 21*q**2 - q + 20. Let d(i) = 5*a(i) + 6*k(i). Determine d(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -3, 0.56, 1\/41, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*d, -4*h - 152*d + 28 = -149*d. Sort 5, h, -71 in descending order.\nAnswer: 5, h, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 7:44 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 95734860?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -90941452.\nAnswer: 1\/45470726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 34)*(-320)\/56. Calculate the highest common divisor of x and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 2*g**2 - 2*g - 4. Let d(t) = -t**2 - 1. Suppose 0 = 4*o - 2 - 2. Let z(v) = o*y(v) - 2*d(v). What are the prime factors of z(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tntnkgt. Give prob of picking 1 t and 1 n.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 11145*r + 5996*r + 5633*r.\nAnswer: 484*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p = -2130 + 2350 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -11, 3 in increasing order.\nAnswer: -11, -7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16 + 2037070\/(-125496) - (-1)\/4 and -43\/162?\nAnswer: 13446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00567841861 to seven decimal places.\nAnswer: 0.0056784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w + 4*w - 180. Suppose -3*k + 4*t + 11 = 0, 9*k - 1 = w*k + t. Solve 11*c = 10*c + k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 10*f**3 + 3*f**2 - 3*f**3.\nAnswer: 7*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) -48 (c) -1\/11 (d) -1\/71 (e) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8275404 divided by 2758468?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n. Suppose 3*q + 9*q - 24 = 0. Suppose 0 = 2*b - 3*i + 4*i - 75, 115 = 3*b + q*i. Let z(t) = b - 35 - 4*t - 62*t. Determine 27*m(y) + 2*z(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13650797*x**4 - 18191481*x?\nAnswer: -163809564*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47899913*f + 204943303 with respect to f.\nAnswer: 47899913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 11900. Let i be h(0). Round i to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 7*t**5 - 6*t**5 + 0*t**2 + 0*t**2 + 3*t**5 + (-1 - 3 + 3)*(0*t**3 + 0*t**3 - t**5) + t**4 - 2*t**5 - t**4.\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/19228*19*(-4)\/(-8).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, u: 2, b: 1, a: 1, m: 1}. What is prob of sequence upa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 28*c + 73. Let a be (-17)\/(2023\/532) + c. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -75*x + 62. Let m(y) = 79*y - 67. Give -3*m(u) - 4*r(u).\nAnswer: 63*u - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3186 and 7670?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2 = -3\/2390081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 229*d**3\/6 + 117*d**2\/2 + 8*d + 7. Differentiate c(a) with respect to a.\nAnswer: 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662646?\nAnswer: 2, 3, 110441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2444185 by -5.\nAnswer: 488837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -23*t + 5890. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-3)*(-84)\/((-1344)\/48)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.219 - -1.219. Which is bigger: j or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 19 - (27 - 76)) + (17 - 3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 8.941.\nAnswer: -8.941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 12 (c) -14 (d) -2\/11 (e) 4\/3 (f) 0.3 (g) -6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 109173 + -58005. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 10.412.\nAnswer: 14.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6127 - -36?\nAnswer: -60b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -157, -3, 3, 5 in increasing order.\nAnswer: -157, -3, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -262, -102, 11\/3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z. Suppose -6*p + p + 25 = z. Solve -b + p*b = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46545 is divided by 7757?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-78 - -97)*(-90)\/(-171). Let x = -1 - -3. Factor -5\/2*q**x - i - 10*q.\nAnswer: -5*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.1 (c) 9\/8 (d) 9 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1444699 - -3?\nAnswer: -1444696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**2 + 5*n**2 - 6*n**2)*(-2*n - 4*n + 4*n + 3*n - 3*n + n + 2 - 2*n - 2 + (-4 - 2 + 3)*(n + 3 - 3) - n + 0 + 0).\nAnswer: -42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 4. Let k be t(4). Suppose -261 = -k*m - 3*m + 5*q, -q - 348 = -4*m. Suppose m = g + 2*g - 5*s, -4*g - 2*s = -116. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 12*p + 35. Give u(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, 109, 381, 793, 1363, 2109, 3049, 4201?\n\"Answer: 3*c**3 + 43*c**2 - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 92 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -6*o + 10*o + 23, 5*o = -10. Suppose -2*u + u = -4*w + 14, -5*w + 25 = -5*u. Factor -3*t**2 + 49*t**w + 0*t**2 - 47*t**s + 5*t**2.\nAnswer: 2*t**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - -2 - (-38 - 4) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -51538614?\nAnswer: -51538614.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9055 is divided by 259.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 8*a**2 + 2*a + 5. Let j be c(8). Let t(q) = 14*q**2 - 4 - 4 - j*q**3 + 22*q**3 - 22*q - 3. Is t(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 6 - (10 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 2\/19?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 9. Let g be z(-12). Suppose -2*m + 4 = 3*f - 16, -g*m = 6. Calculate the highest common factor of 24 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831242 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005\/(166\/((-13280)\/(-1200)))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = -28*o + 167*o - 1544400. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 2*u + 17. Let p(h) = -h - 6. Let i(b) = g(b) + 3*p(b). Let v(w) = -2*w**3 + 13*w**2 - 4*w - 4. What is 4*i(r) - v(r)?\nAnswer: 2*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((15\/150)\/((-2)\/(-4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -256.7 (b) 2 (c) -5 (d) 8.762 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158 + -157 - (-45 - -42 - (33 - -1)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75382?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/12*(5 + 1). Let i be r + 1 + -13 + 12. Which is greater: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*q - 97 = 33, -4*q + 199 = -37*o + 27*o - 37 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 6*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 2595*l**3 - 632*l**3 - 653*l**3 - 654*l**3 + l**2 - 655*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 6:53 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1583 greater than or equal to -103509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in 0.4, -1\/18, 0, -3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {i: 4, q: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79681 - -6693353\/84. Find the common denominator of -25\/77 and z.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/7, 12541, 0.112?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1764982+-3\nAnswer: 1764979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.204 and 0.164.\nAnswer: 0.033456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 6*v + 3. What is x(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 13*f + 20. Let b(s) = 4*s**2 + 6*s + 9. Let p(u) = 13*b(u) - 6*w(u). Let h(d) = -2*d. Calculate h(p(l)).\nAnswer: -80*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -r - 2, 2*r + 5*z + 18 = 66. Let l(s) = s**3 - 15*s**2 + 16*s - 24. Is l(r) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26, 363, 698, 1031, 1362, 1691?\n\"Answer: -v**2 + 340*v - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -188.\nAnswer: -11.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 + 3*l + 11. Let p(q) = -q**2 - q + 2. Let x(f) = -j(f) + 3*p(f). Determine x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81522 rounded to two decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6360, 16280, 26190, 36084, 45956?\n\"Answer: -b**3 + b**2 + 9924*b - 3564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 - 16*v**2 - 17*v - 30. Give b(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - (-1 + (-4 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -133*m + 1116. Does 7 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/4 - 4*h**3\/3 + 2*h. What is the tens digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-113)\/3)\/(1\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 2*x + 3*x + (0 + 3 - 1)*(x + 3 - 3))*(2210*x**3 + 2464*x**3 + 2048*x**3) to j + p*x**2 + g*x + w*x**3 + h*x**4 and give h.\nAnswer: 26888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191329427*w - 208098521.\nAnswer: 191329427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 0 - 15. Suppose 6 = 3*w - 3*d, 20*w - 17*w = -m*d + 12. What is the closest to 0.02 in w, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*c*q**2 - 3*c*q + 399*c - 1035*q**2 + 39 wrt c.\nAnswer: -22*q**2 - 3*q + 399","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8828 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: What is the value of 32\/(-96)*3\/(-8)*72?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 25*g**2.\nAnswer: 5*g**2*(g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -17 - (4 - (-10 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.16? (a) -2 (b) -4 (c) 20 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/2)*x**(-1)*x**22*(x**(-4)*x**(5\/3))**34 assuming x is positive.\nAnswer: x**(-347\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 214604 and 1092.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -604 + 604.000156. What is c rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1, 0.1, 0.03 in increasing order.\nAnswer: -24, 0.03, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -21.4. Let r = -2 - a. Let m = -82 - -79. What is the biggest value in r, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 4:12 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14805 + -2?\nAnswer: 14803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k - 59. Let a be d(7). Is a equal to -3\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -6. Let l be -3 - (-4)\/4 - y. Suppose 20 = 5*r - 5, 4*r - 30 = -2*d. Calculate the greatest common factor of d and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 5:23 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -272*a**3*u**3 - 16*a**3 + 95*a*u**3 + 67*a*u wrt a?\nAnswer: -1632*a*u**3 - 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 2. Suppose d = 3*w + w. Suppose -2*q + 7*k - 3*k + 30 = w, -20 = 5*k. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -45. Let d = -77 + z. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -13*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 14) to base 13\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 311. Is s a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*l + 12 - 777*l**4 + 6 + 780*l**4 + 21*l**3 + 51*l**2.\nAnswer: 3*(l + 1)**2*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -255*u - 14. Let r(g) = -8*g + 6. Let k(w) = 2*r(w) + s(w). Let c(n) = 8*n. What is c(k(m))?\nAnswer: -2168*m - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2. Let z(o) be the third derivative of o**4\/6 + 12*o**2. What is h(z(i))?\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 1164 = 10*k + 2*k. Suppose x = -4*q + 39, 181 = 5*x + q + 5. Calculate the remainder when k is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13488 - 2448 = -8*b. Let w = b + -1333. List the prime factors of w.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1335976 and 23\/36518.\nAnswer: 786889864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-4 + 30 + 0) - -94.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-31 - (-12615)\/406)\/(1 + 22\/(-20)). Suppose -6*v = -11*v - 10. Which is the nearest to -4? (a) -5 (b) 2 (c) y (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(v - 2*v + 3*v) + 2*v + 2*v - 3*v)*(-2*v**2 + 5*v**2 + 5*v**2).\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 17*d**2 - 429*d - 1162. Give v(-30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0 = -3. Solve -2*o = k + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*b)*(2 - 4 - 6) + 39*b - 11391 + 11391.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141140*z - 6*z**2 + 20*z**2 - 70562*z - 70578*z.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520885815 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1333 at most as big as 55.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.0291535 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 6. Let o(j) = -61 + 38 + 23 - 5*j**2. Give w(o(i)).\nAnswer: -10*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, h: 7}. Give prob of picking 2 w and 2 h.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 1. Let j(p) = p**3 + 11*p**2 + 8*p + 4. Let o(f) = -3*g(f) + j(f). Let w = 0 + -7. Determine o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0 + 4*f**2 + 0*f + 0*f**3 - 1\/120*f**5 - 1\/240*f**6 + 0*f**4. Let p(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 14*q - 54, -2956*m + q + 273 = -2960*m for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcr when four letters picked without replacement from {c: 4, v: 3, i: 4, q: 1, m: 2, r: 3}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32561?\nAnswer: 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 9) to base 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3) + (-44)\/6. Let g be l*(-2 - (-6)\/4). Suppose g*h - 9 = -3*u, 5*u + 0*h - h = 15. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-8)\/m))\/(m\/(m**(1\/19)*m)))\/(m**(-6)*m**(1\/3)))**31 assuming m is positive.\nAnswer: m**(27776\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 + -167. Let p be 22\/(-3)*c\/(-34). Solve p*t = 15*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 26472838396*i + 26472838396*i.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050796351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -7197?\nAnswer: -115152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31783913.\nAnswer: 7, 29, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000076999525 rounded to six decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.4. Let r = -387 - -2706\/7. What is the closest to r in 0.1, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w = -5*n + 121, 4*w + 35 = n. Let c be (-7)\/(21\/(-9)) + -10. Let p be 188\/1 - (c + 11). What is the highest common divisor of n and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 120 = -r. Put 59, -2, r in decreasing order.\nAnswer: 59, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*w - 43*w = 1728. Calculate the highest common divisor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.6247 and -0.024.\nAnswer: -0.1349928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-3 - -7)) + (266 - 328).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 10 + 18 = 0. Let z be (15\/(-30))\/(n\/136). Let j = 134 - z. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*x**2*y**3 - 213*x**2*y**2 - x**2*y - 226*x**2 + 281*x*y + y**2 wrt y.\nAnswer: -228*x**2*y - 426*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1075 - 1075 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010001001 - -11?\nAnswer: 10000010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/42)\/(1 - 13214\/13218). Let p = 3762 - 5316. Let b = p - m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63700503.\nAnswer: 3, 139, 173, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453.864454*1.\nAnswer: 453.864454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -230 + 246. Solve -142 - t = 48*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3 = -3*q - 9, -2*q = 2*a - 6. Suppose -a*s + 4295 = 4*g, 6*g - 4*s - 3240 = 3*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307518?\nAnswer: 2, 3, 107, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7\/2))**(-3\/25) assuming o is positive.\nAnswer: o**(21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633935.3 milligrams to kilograms.\nAnswer: 0.6339353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 3*j + 3*r, -44 + 5 = -j + 5*r. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/80 and -7\/100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 6*d - 3. Let w be z(2). Solve -y = 2*y + w*u - 34, 3*y = -3*u + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.14267 + 0.14267. Let u = 0 - 3. Let f = u + 3. Sort f, -2\/3, -0.4, j in increasing order.\nAnswer: j, -2\/3, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*g + 18, -9*v - 25 = 5*g - 14*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -65973\nAnswer: -26389.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1.317606.\nAnswer: -0.5270424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -9. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - 2. Let z(n) = -2*n - 3. Let g(w) = -3*a(w) + 2*z(w). Let c be g(1). Is c > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3452 - -5786. Does 47 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1 - 1 - 1 + 1 + 3 + 0 + 3 + (-1 + 3 - 3)*(2 + 1 - 2))*(15083 - 15083 + 1262*h) as r*h + b and give r.\nAnswer: 8834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 7) to base 16\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 10*z - 1. Let n be s(10). Let a(r) = r**2 - 16*r + 37. Let o be a(13). Sort n, 1, o in ascending order.\nAnswer: o, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + p - 1. Let y(w) = -w**3 - w**2 + w. Let v(c) = 4*c**3 + 2*c**2 - 6*c + 5. Let u(h) = v(h) + y(h). Give 5*n(s) + u(s).\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242947 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -788*j + 104 = -775*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 9*w**2 + 2*w - 11. Let o be (-46)\/(-5) - ((-95)\/25 + 4). Let i be c(o). Let y(u) = 2*u - 11. Let d be y(i). Solve s - 4*s = d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14990891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 minus -26.826?\nAnswer: 30.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-13)*p**17 assuming p is positive.\nAnswer: p**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719179.2ms to hours.\nAnswer: 0.199772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 3404352.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1522 + -1840. Is -319 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 3521*f + 39 + 3521*f.\nAnswer: -8*f**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -6.06. Let f = t + 8. Which is the closest to -2\/5? (a) -0.1 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(8\/9 + -1). Let g = -1.9 - -6.9. Sort g, 0.5, b in decreasing order.\nAnswer: g, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6988 divided by -5\nAnswer: -6988\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 1553*y - 36679. Determine c(24).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d + 4. Let n(f) = 11*f - 49. Let z be n(4). Let b(y) be the second derivative of y**3\/2 - 3*y**2\/2 + 2*y. Calculate z*w(o) - 6*b(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/16 + (-11214)\/249200?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 482, 480, 478, 476, 474?\n\"Answer: -2*w + 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - -1*9\/6*-2. Suppose 42 = 5*g + z. Let l be 2\/(-11) - 24\/(-11). Solve w = -4 + l, 0 = d + 2*w + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let q(y) = 2*y + 7. Let c be q(-7). Let o(x) = 2*x. Suppose 3*f - 2*f - 12 = 2*i, 2*i + 12 = -f. Calculate c*o(b) + i*u(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 9966?\nAnswer: 129558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 2, w: 2, v: 3}. What is prob of picking 3 w and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 8*z + 3. What is r(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4120113 to the nearest integer?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let y = 7 + -6. Sort y, v, 5 in increasing order.\nAnswer: v, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2857*z - 14276. Calculate u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6202*s + 47*s**2 - 6780*s - 41*s**2 + 19186*s - 6204*s.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 12 + 0 = 0. What is the first derivative of 28 + 12*v - 12*v + v**y - 4*v**2 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(140)*-2)\/sqrt(4))\/(5*(sqrt(7) - 5*sqrt(7)*1)).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/271236629 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2240745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.05 + -1?\nAnswer: 159.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -186 - -326. Calculate the greatest common factor of b and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 66145644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 322379679145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 2*v + 15, -4*x = -5*v - 21. Let q = x - 17. List the prime factors of (4 + q)*47\/(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - g + 1 - 0, -2*g - 2 = -2*f. Let i(c) be the first derivative of -5*c**4\/12 - 3*c**2 + 1. Let n(r) be the second derivative of i(r). Give n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50677, -101112, -151545, -201970, -252381, -302772, -353137?\n\"Answer: q**3 - 5*q**2 - 50427*q - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1566 or -1565?\nAnswer: -1565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 5*p**4\/12 + 815*p**3\/3 + 132845*p**2\/2 - 6*p + 40. Find w, given that u(w) = 0.\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -551*j**3*x - 698*j**2*x wrt j.\nAnswer: -3306*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2756447 (base 8) to base 3.\nAnswer: 1110111112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -10, -4, 2\/17?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from maaaaaccfafaffmfaaca?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 4) to base 3.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/(((-454)\/17025)\/((-12)\/340))?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (637956\/1968)\/27 - 12. Is j less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 969 and -855937?\nAnswer: 856906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f + 48. Let v be c(15). Suppose -n + 3 = 0, 4*g + n - 26 = -v. Solve 4*y + 0*y - o + 10 = 0, -25 = g*y + 5*o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a**4 + 5*a**3 - 102*a**2 + 196*a - 91. Let n(k) = 3*k**4 + 2*k**3 - 51*k**2 + 98*k - 46. Let u(g) = 2*m(g) - 5*n(g). Factor u(i).\nAnswer: -(i - 6)*(i - 1)**2*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**5 + 6*f**4 - 8*f**3 - 24*f**2 = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24696 and 1257291.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -43901, -43902, -43903, -43904, -43905, -43906?\nAnswer: -43907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daarrharaaah. Give prob of sequence haah.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (87\/232)\/((-12)\/32*(-740)\/(-10)).\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*x + 5*p, -2*x + 8 = -p - 16. Calculate the greatest common divisor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.227374 and 0.5.\nAnswer: -2.113687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 2:38 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 156 = -2*w + 46, -5*g - 198 = -4*w. What is the nearest to -2\/3 in -0.3, 1, 0.5, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/12 + u**3\/3 + 9*u**2 + 23*u. What are the prime factors of k(-8)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 560649407643 and -1.\nAnswer: 560649407642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(170) + sqrt(170)*-1*-1)\/(sqrt(10) + sqrt(10) + -6*sqrt(30)\/sqrt(3)) + -5 + 2 + -5*(sqrt(85)*-2)\/sqrt(5).\nAnswer: -8 + 19*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 10 = 2*g. Does 6 divide (-4 - -5)*(g + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44554.49um to meters.\nAnswer: 0.04455449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 65 + 35 = 0. Suppose -55 = -5*z - d. Let o be -3 + (-1)\/3*-51. What is the greatest common divisor of z and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*j**3 + 11*b**2 + 2*b*j - 40*j**5 - 3*j**2 - 2 wrt j.\nAnswer: -6*b**2*j - 800*j**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44257*p**4 - 2*p**3 - 76968513*p**2 wrt p?\nAnswer: 1062168*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 + c**3)*(5*c + 3*c - 4*c) + (7*c - 2 + 2)*(1 + 2 - 5)*(-4397*c - 23*c**3 + 4397*c) to r*c + o + m*c**2 + h*c**3 + p*c**4 and give p.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 2 + 2)*(-2*k**3 + 6*k**4 + 4*k**3 + 0*k**3).\nAnswer: -6*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.05 (b) -17 (c) 0 (d) 1\/5 (e) 2 (f) 4\/5 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -685*y**3 - 389*y + 3893440.\nAnswer: -2055*y**2 - 389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1650583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-8 + -49 - -61).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 31*n. Let a(y) be the third derivative of -y**7\/2520 - 53*y**5\/60 + 3*y**2 - 4. Let p(z) be the third derivative of a(z). Calculate p(m(q)).\nAnswer: -62*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-2\/17)\/d))**(1\/6)\/(d**9)**(-2\/3) assuming d is positive.\nAnswer: d**(665\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/(-12 - (-923)\/78) - -410929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 23*r**2 + 62*r + 9. Let h be n(7). Factor -40\/7 + 4*f - 4\/7*f**3 + 16\/7*f**h.\nAnswer: -4*(f - 5)*(f - 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -617*f**7\/30 + 5039*f**3\/3 - 3370*f**2. Find the first derivative of q(b) wrt b.\nAnswer: -17276*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*h + 24*h + 173 + 8*h**3 + 45*h as u*h**2 + d*h + b*h**3 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 7*s - 4. Let a be d(6). Let m = 3 + a. Suppose 5*t - 4*l - 119 = 0, 3*t + m*l = -t + 87. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 7, -9 in increasing order.\nAnswer: -9, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*s**5 + 2162000*s**4 - 540285*s**3 - 1317375*s**2 - 304020*s = 0 for s.\nAnswer: -3\/8, 0, 1, 6756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 17970 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37563691 - -506436.\nAnswer: 38070127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * 0.17.\nAnswer: 0.527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, 14, 55, 124, 227, 370?\n\"Answer: m**3 + 5*m**2 - 3*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 8)\/((-2)\/8). Let m be 2\/f - 166\/(-8). What is the greatest common factor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - 3 - (1 + -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -263, -353, -413, -449, -467, -473, -473?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 5 - 5)*(67 - 200 + 12 - 72 - 145).\nAnswer: 2028*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.088518 times 4?\nAnswer: -36.354072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1059, -1164, -1345, -1608, -1959, -2404?\n\"Answer: -u**3 - 32*u**2 - 2*u - 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6, 3*f = 3*t - f - 977. Suppose -5*j = 48 - t. Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-31)\/(u\/(u*(u*u**(-13)\/u)\/u)) assuming u is positive.\nAnswer: u**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 217*y + 669. Give g(13).\nAnswer: 3490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 759\/2 and -26547 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2743691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -7*w**4\/24 + 4*w**3\/3 - 3*w**2. What is the units digit of l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2271*a**3 - 76*a**2 - 311366*a?\nAnswer: -13626*a - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 841\/4 + 11\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -46. Let r = -0.1 + 0.2. Let p be (-1)\/4 + 9\/20. What is the third smallest value in r, p, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/5831 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r - 5. Let g(l) = l**2 + l + 2. Let b(v) = -v**2 - v - 2. Let s(k) = 3*b(k) + 4*g(k). Let n be s(-3). Let x(q) = -q + 2. What is n*x(c) + 3*a(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, -19, 3, 4, -3, 26, 5 in ascending order.\nAnswer: -19, -3, 3, 4, 5, 26, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**3 + 2*x**2 + x - 2. Let z be w(1). Let j be ((-30)\/18)\/((-3)\/z). Let v be 474 - (-3 + j - -2). Round v to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/((-28)\/49).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 670*x - 589*x**3 - 324*x**3 + 198*x**3 - 2*x**2 - 5 - 244*x.\nAnswer: -715*x**3 - 2*x**2 + 426*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1922547 and 81\/222904.\nAnswer: 15380376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * 56\nAnswer: -7.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - (12 - 3)) + 6. Sort 11, -3, 3, j in decreasing order.\nAnswer: 11, j, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193.3*-44.\nAnswer: -8505.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {k: 5, o: 1, p: 4, v: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 1321*s**2\/2 + 1310. Let b(x) = 3*x**2. Give b(h(j)).\nAnswer: 5235123*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -131765330.\nAnswer: -3\/131765330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2642\/309 + 12\/103. Let c = -53 - -16. Let u = -10 + c. Find the common denominator of u and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2)*(2*f**2 + 2*f**2 - f**2) - 2*f**2 + 4 + 65*f - 65*f to the form j*f + c + l*f**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -5, 28*y = -35*y + 64*y - p + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29129096 + 3070904. Round l to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 3*n**5\/20 - 11*n**4\/24 - n**3\/6 - 7*n**2. Let f(o) = 4*o**2 - 5*o - 1. Let b(y) = -5*f(y) + 2*u(y). Calculate b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*y - 3*y + 3*y**3 - 17*y - 4)*(-3*y - y + 3*y).\nAnswer: -3*y**4 - 14*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -845\/16366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.78427848 - 2.5.\nAnswer: -6.28427848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -653214168 - -27801?\nAnswer: -653186367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003338623 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1134, -2328, -3522, -4716, -5910, -7104?\n\"Answer: -1194*y + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 5\/2*r**2 + r**4 + 0*r + 0*r**3 + 4. Find the second derivative of i(n) wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2544, 5080, 7630, 10200, 12796, 15424, 18090?\n\"Answer: q**3 + q**2 + 2526*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2050635, 2050636, 2050637, 2050638?\nAnswer: 2050639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(931)*4*6 + 2*sqrt(931) + 2 + sqrt(931)))**2.\nAnswer: 12096*sqrt(19) + 10859248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 - 2. Suppose 0*f - f = u - 5, -20 = -4*f. Suppose -3*w = -3*c - 9 - 3, u = 2*w + 5*c + 6. Calculate h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -403097 - -711562. Suppose -q + 38849 = n. Let j = -161616 - q. What is j rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n - 12. Let l = 387 + -384. Which is the fourth smallest value? (a) n (b) 0 (c) -3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10 - (-14)\/(-7) - (0 - 6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8207*d**5 + 2*d**4 - 2*d**2 + 6*d + 407 wrt d.\nAnswer: 492420*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99802, 199612, 299422, 399232?\nAnswer: 499042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.047 - -0.0470159. What is b rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 18, y: 2}. What is prob of picking 2 f and 1 y?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11.86749 decades?\nAnswer: 0.1186749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 36 = -4*d, 3*d + 137*k = 138*k - 10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*g + 3*g - 140, 0 = 2*p + 5*g - 95. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(2\/(-7) - 67204\/(-235165)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkkkxkkkkxkx. What is prob of picking 3 x and 1 k?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (7 - (-4)\/(-2)). Let h(q) = -2 + 11*q + 0 + c. Let j(o) = -5*o. Calculate h(j(a)).\nAnswer: -55*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 8*o**2)*((-o - o + o + (0 + 2 - 1)*(2 - o - 2))*(-1 - 3 + 6) + 4*o + 5*o - 2*o).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1468673, 1468675, 1468681, 1468691, 1468705?\n\"Answer: 2*i**2 - 4*i + 1468675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of 2*v**3\/3 - 9*v + 4. What is the derivative of j(d) wrt d?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((-210)\/(-120))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 4) to base 15\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 6*g - 5. Let d be a(6). List the prime factors of ((-3)\/(-2))\/(d\/(-70)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6562 rounded to one dp?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39785023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -3. Let k(f) = -2*f - 2 - t*f - 8 + f**2. Let j be k(7). Solve j = -p - 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08408 - -146.39592. Let n = i - 22.58. Round n to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -53?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/9 (b) 10.666 (c) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 148*x + 74*x + 79*x as v + r*x + f*x**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 13. Let a be r(-3). Let x be -1 - (a + (-6 - 0)). Let j = -1.8 + 0.8. What is the closest to 18 in 0.4, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2176*g + 1745172. Determine r(802).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = k. Let v = 6 - 4. Suppose k*w + 9 = 3*l, v*l = 6*l - w - 18. Let m(n) = -n**2 + 6*n - 4. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8106*t**4 + 10*t**3 - 21*t - 432. Let r(b) = b**4 - b**3 + 2*b + 2. Let q(x) = -c(x) - 10*r(x). What is the second derivative of q(a) wrt a?\nAnswer: -97392*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5443 or -5442?\nAnswer: -5443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -392 - -394. Solve -w*k + 5 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29246675 is divided by 185.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from emtetj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268407375 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 45 = 5*x, -x + 3*m + 188 = 167 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -114836 + -717?\nAnswer: -115553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 454356 divided by 6.\nAnswer: 75726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*a + 172894 = -161671. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5\/4 + 573*x**4\/4 + 23445*x**3\/4 - 217713*x**2\/4 + 90696*x - 42273 = 0. Calculate x.\nAnswer: -122, -77, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (87142\/88)\/(16\/4 + (-237)\/60). What is j rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + -17)\/((-24)\/8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7608928 divided by -8?\nAnswer: 951116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1505\/315 + (2 - 7) - 1304\/(-36). What is the highest common factor of t and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbxxxxx. Give prob of sequence bxx.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6693 and 3540?\nAnswer: 7897740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*(23 - 21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + -11. Let j = s - -88. Is -4\/5 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -2)\/((15\/12)\/(-5)). Suppose 960 = y*x - 32. Suppose x = -f + 5*f. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519 = 27*b - 30*b. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*q + 170 = 0, 136 = -3*o - 2*q + 375. What is the remainder when o is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 + 5*q**5 - 5*q**5 + (-3*q**4 + 2*q - 2*q)*(0*q - 4*q + 5*q) + 2*q**5 - 3*q**4 + 3*q**4 + (-q + 0*q + 2*q)*(-q**4 - q**4 + q**4).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n + 281 + 199 + 8*n**3 - 6*n - 77 + 137 wrt n.\nAnswer: 24*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 18388544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3 and (-3)\/3*1*(-30)\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -265*a**2 + 9*a - 30 + a + 275*a**2 - 2*a**3. What is the smallest common multiple of r(5) and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347539403*g**5 + 98*g**2 + 72*g + 53 wrt g?\nAnswer: 20852364180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12. Let l be (k - (3 - 4))*2. Suppose 6796 = -l*y - 4*q, 0 = 2*y + 3*q - 0*q + 6797. What is y rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*f + 281, 0*t - 2*t - 5*f + 218 = 0. Suppose -5*a = -2*a - t. Suppose 0 = -5*s + a + 117. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1495*453.6\nAnswer: -678132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 + 2*v**2 + 0*v**3 - v**3 + v**2 - 2*v**3 - v**2 + (-2*v**2 + 6*v**2 - 3*v**2)*(4*v - v - 4*v).\nAnswer: -5*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6215\/19210*8\/(-110).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4239*l**2 + 736*l - 39. Let g(f) be the first derivative of -2119*f**3\/3 + 184*f**2 - 19*f + 3. Let k(t) = 3*d(t) - 7*g(t). Factor k(c).\nAnswer: 4*(23*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -50. Suppose -l - 5 = -5*u. Let i(a) = -13*a + 1. Calculate the smallest common multiple of i(-1) and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/3 of a hour?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 22394432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274 - -279. Solve -5*p + 3*d + 21 = 0, -4*p - 11 = -i*d - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = w - 2*r - 12, -2*r - 36 = -5*w. Let l(t) = 12*t - 6 - 14*t + w. Let z(n) = 13*n. Determine l(z(u)).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwmzwzzwzmmzzmzm. What is prob of sequence zm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.039 - 0.061. Is a greater than 5.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 118*c + 29. List the prime factors of r(-25).\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-2\/5)*o*o*o)*o**(-5\/2)\/o*o**(-2\/25)\/(o\/(o*o**(-3))))\/((o**(-2\/5)\/o)**(1\/18))**20 assuming o is positive.\nAnswer: o**(-2531\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y - y + 3*s - 21, -4*s = 3*y - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - sqrt(256)\/sqrt(8))**2*-5 + 1)*-5.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-504)\/(-108)*(-9)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -5*c**3 - 5351*c**2\/2 + 3413*c. Differentiate q(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - m**2 - 2*m + 2400. Let z be i(0). Suppose 0 = 5*n - 13*n + z. Let h be n*30\/(-27)*-21000. Round h to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21671 is divided by 82.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -90\/61, -1, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92348 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 5, 11, 21?\n\"Answer: 2*f**2 - 4*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 32. Let g = 66 - b. Let f = 41.2 - g. Round f to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(2*t**2 + 0*t**2 - 3*t**2) + 4*t**2 - 8*t**2 + 3*t**2)*(-3 + 4 + 0).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 (base 15) in base 14?\nAnswer: 4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 134, 281, 528, 875, 1322, 1869?\n\"Answer: 50*h**2 - 3*h + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.8 (c) -1 (d) -2\/9 (e) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22100031433 - -2?\nAnswer: 22100031440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2025 + -1443. Is i a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1, -3, -2419, 3 in descending order.\nAnswer: 3, -2\/5, -1, -3, -2419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2*r**2 + 5*m**2*r*x + m**2*x**2 - m*r*x**2 - 101*m*x**2 - 2*r**3 - 14097*r**2*x**2 + 2*r wrt r.\nAnswer: -2*m**2 - 12*r - 28194*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**2 - 2*z - 1. Let m be (-1)\/(-4) - (-10)\/(-8). What are the prime factors of q(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -50*y - 1. What is the tens digit of l(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose -r*x = 2*x - 24. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 10*g + 17. Let s be p(8). What is the nearest to 2 in s, -5, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 0 + 1 + 28*q - 2.\nAnswer: 11*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 l when four letters picked without replacement from {t: 8, l: 3}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*((-3*c**5 - c**5 + 5*c**5)*(2 - 2 + 1) + (0*c + c - 3*c)*(-6*c**4 - 9*c**4 + 12*c**4)).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4 = -0*r + 2*r, 3*r + 18 = -3*i. Let o be 2 + (1\/1 - 0). Let z = -5 + o. Are z and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 1004 + 508. Let s be (960\/28)\/(4 - b\/49). What is the highest common factor of s and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058827946.\nAnswer: 2, 3, 7, 2423, 20231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 22*h**2 - 3*h - 18. Is 9 a factor of q(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - 4.2. Let n = 8 + t. Let l = -3.06 + n. Round l to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j + 3*j + 4*j)*(0 + 2 - 1) - 6 - 3*j + 6 - 93*j + 184*j - 88*j + 1.\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1718986.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 10*b**2 + 4*b. Let i be j(-8). Let y = i - 2182. Is 12\/78 + y\/(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 19*i**2 + 44*i - 39. Let v be r(21). What is the third biggest value in -3, v, -8, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:49 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 8*g + 6. What is the remainder when 235\/15*3*1 is divided by o(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74245 is divided by 85.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-15 - -5 - (-3 + 3) - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357*g**3 + 2 - 6 + 4.\nAnswer: -357*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10*(-9)\/396*-11. Which is bigger: -5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*y - 38*y = -214 - 274 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.49 and -340.\nAnswer: -166.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/910 and -43\/156?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 24*s**2 - 5*s + 2. Is y(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (44\/(-6))\/(3\/(-18)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6 - 11\/(-3)) + -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -840484?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13*l + 9*l = 82286, -l = a - 27445. What are the prime factors of a?\nAnswer: 2, 3, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -114428904212.\nAnswer: -114428904212.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3 - v**3 + 170*v - 6*v**2 - 173*v + 2*v**3. Let p be d(6). Which is smaller: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 3*r - 6. Let f(m) = m**2 - m - 1. Let o(l) = a(l) - 5*f(l). Let y be o(1). Put y, -3, 5 in increasing order.\nAnswer: y, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 - 56. Let h = -253 + 401. Suppose -4*t - 2*k + h = 56, -3*k - 16 = -t. Calculate the remainder when d is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by (-2)\/5 - (-127)\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 284837919 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.58 - 811.42. Let l = -808 - t. Let f = 0 - 0. Are f and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 PM and 11:08 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1398117 divided by -66577\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - 0 - ((-23 + 49 - 25) + 9).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 20983620?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 15*m + 2673. List the prime factors of x(48).\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2146607 and -0.0303?\nAnswer: 65042.1921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120.6 and -0.1151?\nAnswer: 13.88106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29176 bigger than 29174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558121326?\nAnswer: 2, 3, 7, 13288603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 20. Let h be -2*(46\/16 + r). Factor 1\/4*p**3 + 0*p - 1\/4*p**5 - 1\/4*p**2 + h*p**4 + 0.\nAnswer: -p**2*(p - 1)**2*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1255560*m - 1255252*m + 16940 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 5*y - 20, -4*p - y - 20 = -6*y for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -610\/17 = -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-5)\/(-10)*-6. Let q be 4\/2 + 8\/(1 - h). Suppose -4*m = -4*g - 132, -4*m = -q*g + 5*g - 42. Which is greater: g or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2\/15 - 20*j\/3 + 250\/3 = 0. What is j?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87\/(-12)*-4*49 + 4.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 5*d + 0*d + 17*d - 2*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**7\/42 + 7*z**3\/6 - 7*z**2. What is the first derivative of a(s) wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 20. Suppose 4*b = q + 32, -3*b - 3*q + 9 = -0*b. Let f be y(b). What is the common denominator of (-6100)\/(-720) + f\/(-4) and -76\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2550\/520 + 3\/12 + -5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754 divided by 3?\nAnswer: 7754\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i*r + 448212*i + 29920*r + 19 wrt i.\nAnswer: -2*r + 448212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 728590.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4032 - 873 = -117*n for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2\/9, -1 in decreasing order.\nAnswer: 2\/9, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 5*k**2 + 8*k - 6. Let l = 8 - 2. Let p be q(l). Solve -w - p = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Calculate v(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*q*r**3 + 285*q*r**2 - 20*r**3 + 2*r wrt r.\nAnswer: 84*q - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35*5.755\nAnswer: 201.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*1*1)\/(sqrt(1000)*-1 - sqrt(1000)).\nAnswer: -sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let s(x) = 3*x + 151. Let p(m) = m - 2. Let b(r) = -6*p(r) + s(r). Determine b(c(j)).\nAnswer: 3*j**2 + 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -432 + 433. Let f = -6 - -3. What is the closest to d in f, -5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-2) + (-1545)\/90. Which is the third smallest value? (a) 0.4 (b) 0.1 (c) 1 (d) z (e) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 4*h = -195. Let x be 6\/4 + (-90)\/(-4). Let p(j) = -h - x - 5*j + 38. Give p(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-168)*(-36)\/24.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*t + 27 - 41*t + 26*t)*(-1 + 5 - 2).\nAnswer: 4*t + 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 152. Let n(r) = -6*r**3 - 3*r**2 + 1. Let z be n(-2). Let i = z - 22. Calculate the greatest common divisor of f and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 7. Let o be w(-6). Suppose 0 = -16*a + 49 + 11 - 28. Solve o = -3*c - a*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 7 + 6 + 14. Let g be v(10). Solve -3 = 2*d + g for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 9*v - 2*v - 7.\nAnswer: 11*v - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 4:44 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 753850480*b.\nAnswer: -5*b*(b + 150770096)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h - 17. Let r(b) = 3*b - 6. Let z = 45 - 28. Give z*r(g) - 6*c(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 159 = -259. Let y be (-2)\/(8\/1)*s. Solve a = 5*f + 9, 0 = -y*a - 5*f - 10 - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**3 - 20664*j**2 - 47444544*j - 36310891008 = 0.\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 - 8*j**3 - 14*j**2 + 20*j = 0.\nAnswer: -2, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -95*u**2 + 8*u + 16. Let r be v(-2). What is r rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-2\/69) assuming o is positive.\nAnswer: o**(-2\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1436584*k - 2873190*k + 3 + 1436606*k - 34*k**2.\nAnswer: -34*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -400.625 + 429. Let p = 0.525 + v. Let k = p - 29. Which is smaller: k or 55?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 50, 109, 202, 335?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -8 + 3 - -5 - -88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 - (2 + -3). Find the third derivative of -t**c + 0*t**5 + 4*t**2 - 2*t**5 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 65*i**2 - 442*i + 639. What is b(-57)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185 or 559\/3?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 4)*(-4*b**5 + 0*b**5 + 0*b**5).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125914*-1.44.\nAnswer: 181316.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/5 + 200*d + 7744\/5.\nAnswer: 4*(d + 8)*(d + 242)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 1)\/(2\/8). Let g be -1*(-2)\/f - 0. Let w = 86607 + -86612. What is the second smallest value in -0.2, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -86 - -100. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1569 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/39 and 17\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a tonne in kilograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1 + -3 + 0. Suppose -6 = 2*k + 2*x - 4*x, 3*k + 3*x + 21 = 0. Let u be 2*k\/(-10) - -3. Solve b = -u*q + 8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 - 6312*z**2 - 6316*z.\nAnswer: 4*z*(z - 1579)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68083.35 minutes to seconds.\nAnswer: 4085001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 2*r - 15. Suppose 0 = -118*h + 119*h + 7. What is q(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881586983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/240*x**6 + 0*x**3 + 0 - 3*x**2 + 0*x - 1\/120*x**5 + 0*x**4. Suppose r(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2382735 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 2*z - z)*(0 - 4 + 3)*(0*z**2 - 4*z**2 + z**2).\nAnswer: -21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 2:15 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 4*k**5\/5 - 75*k**4 + 6032*k**3\/3 - 7200*k**2 - 20736*k + 1242. Factor m(q).\nAnswer: 4*(q - 36)**2*(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - d79?\nAnswer: -d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15 - (1 - -9)) + 18\/(-2). Let k(x) = 8*x**2 + 108*x + 88. Let j(m) = 7*m**2 + 105*m + 89. Let q(t) = y*j(t) + 3*k(t). Factor q(o).\nAnswer: -4*(o + 1)*(o + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 290761?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 2, m: 1, z: 1, g: 1, l: 1}. Give prob of sequence gez.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -56263 to the nearest one hundred.\nAnswer: -56300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h - 5. Let n(q) = 6. Let l(d) = -3. Let c(w) = -3*l(w) - 2*n(w). Let f(u) = -1. Let z(k) = c(k) - 2*f(k). Give g(p) - 6*z(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -83 - -97. Suppose 0*s - 26 = -2*s. Is s at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q**2 - 1775*q - 61612?\nAnswer: -6*q - 1775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.73 - -1.57. Let d = 2.9 - 0.5. Let w = d - u. What is the nearest to w in 2, -2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*62.\nAnswer: 5.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3582 + 2226 = 8*l. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 1. Let w be 0\/(-1) - (q - 9)\/3. Suppose 194 - 600 = -w*d. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 d when four letters picked without replacement from ffndfndnfdf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -96, -312, -728, -1410, -2424, -3836, -5712?\nAnswer: -8118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1287 - 1287 + 66*c + (1 - 4 + 2)*(2*c - 5*c + 2*c) - 2*c + 0*c - 2*c.\nAnswer: 63*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -57, -73, -91, -111, -133?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -1 - ((-6)\/2 - -1). Let j be -2*m\/(-22)*(2 - 1). Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -3. What is the remainder when (3\/h)\/((-3)\/(-210)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33.3 and -2.470889?\nAnswer: 35.770889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + 2*i - 3*i + (2 - 4 + 0)*(-9*i - 3*i + 34*i).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4250959, 8501711, 12752475, 17003257, 21254063?\n\"Answer: y**3 + 4250745*y + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 172 + 60 = 0. Suppose 5*o - m = -9. What is the remainder when 6 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35\/48 - 1\/16. Let d be 2*1\/(-12) + 0. Let r = 1\/12 - d. Which is the biggest value? (a) r (b) 3\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 153616.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 3595554.\nAnswer: 22\/1797777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4625 + 4745. Calculate the highest common factor of w and 456.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 209*t - 2406. Give h(11).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 6. Suppose 0 = 3*v - r - 2. Calculate the smallest common multiple of v and ((2 - 1) + -2)*-8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k + 3*l + 25 = 0, 3*k + 4*l - 10 = 0. What are the prime factors of (286\/k - -1) + 40\/100?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 - a - 5. Let f be n(-6). Let h be -1*(-3 - (-1 - f)). Suppose i = -i - 2. Put h, 0, i in ascending order.\nAnswer: i, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/13650 + -77123\/6825. Let v = -3259 - 92. Let h = 30115\/9 + v. What is the common denominator of m and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.044312 + -1.41\nAnswer: -1.365688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95 - 476\/5. Let i = 0 + o. What is the closest to 1 in -0.5, i, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 231*j**2 + 458*j + 974. Calculate m(229).\nAnswer: 974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -66*-11.80602\nAnswer: 779.19732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198262?\nAnswer: 2, 43, 48817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -9*v + 3110. Let x = 2421 + v. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82665387 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 2:10 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20043316 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + (-157 - -117) - -79*(-6)\/94.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l, 3*g - l - 5 = 7. Let q(n) = -g*n - 3 + 0 + 3. Let r(t) = -2*t. Calculate q(r(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.9 (b) 4 (c) 2\/3 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30.329 or -65?\nAnswer: -30.329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 48 = -5*c. Let z = 187 + c. Is 35 a factor of z\/4 + 9\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*i = 143741*r - 143736*r - 95 + 299, -20 = 5*i + 5*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 21. Let x = t - 7. Let k = -2 - -2.2. Which is the nearest to 1\/2? (a) k (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-9)\/(-6)*2. Suppose 2*k - z*y + 14 = 5, 12 = 4*k + 4*y. Suppose k = -5*w + g + 26, -42 = -8*w + 3*w - 3*g. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -484 + 54?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = -4*g - 4, 2*g - 10 = -3*m. Suppose 3 = 4*q - 13. Suppose -y + o + q + 6 = 0, -3*o - 12 = 0. What is the greatest common factor of y and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54630233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + 0.37. Let t = q + -0.3. Let o = 1.8 + -2. Is t at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -229*v + 4. Let a be n(3). Let i = 3125 + a. Suppose -3*r + 3080 = 5*p, 3*p + i = 7*p - 2*r. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 1 + 1 = -2*h, -4*h - i + 3 = 0. Let x be h\/(-5)*(-5)\/2. Let s = -1 - -2. Which is bigger: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122386719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205 - 491. Let k = m - -325. Calculate the remainder when 232 is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -11\/5*g**4 + 2\/5*g + 0 - 1\/5*g**2 - 3\/5*g**5 - 11\/5*g**3 = 0.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millisecond in microseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v - 2. Let j = 30 + -24. Let x(k) = -17*k - 5. Let w(p) = j*x(p) - 14*i(p). Find the first derivative of w(n) wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6*f = -3*q - 32, 3*f = q + 16. Suppose 0*s + 7*s - 14 = 0. Find the first derivative of -f + 0 - t**s - t**2 wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 4*v = 249 - 289 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + -0.55. Let x = -0.150011 + b. What is x rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((160\/(-12))\/(-5))\/((-8)\/(-18)). Solve 5*k - 3*m + 11 = u*k, 2*m = -2*k + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35436 is divided by 17706?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 48. Let u be -3 + f\/(-7) - (-620)\/2415. Let w = u + -65\/138. Is -56 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-159 - -277 - -137) + -170\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 2, w: 5}. What is prob of picking 1 x, 1 w, and 1 m?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.35954ml in litres?\nAnswer: 0.00435954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 9*y + 9. Let w be k(7). Suppose 7*x = 2*x + 6640. Let f be (w\/4)\/((-2)\/x). What is f rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 2. Let q be (4 + (-3 - 4))\/(2\/6). Determine a(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -528*w + 34. Let d be s(-12). Round d to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*w + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -2*d + 3*z, d + 5*z = -0*d - 55. Let u = -159\/4 - d. Factor -a**2 + 1\/4*a + 0 + u*a**5 - a**4 + 3\/2*a**3.\nAnswer: a*(a - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.215 less than 736442653?\nAnswer: 736442653.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -421 - -1533766?\nAnswer: 1533345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3452872?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 67158 divided by -78\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1799361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(960))\/(sqrt(192) + sqrt(192)*3 + sqrt(12)).\nAnswer: -4*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**5\/2 + h**4\/6 + h**3\/3 - 6*h + 7. Let f(p) be the first derivative of i(p). What is the tens digit of f(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c27c (base 14) to base 5.\nAnswer: -14224203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f = v + 33*f + 22, 4*v - 2*f + 64 = 0. Sort 1, v, -18 in descending order.\nAnswer: 1, v, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3576, -96, -2 in increasing order.\nAnswer: -96, -2, 3576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 7*b + 36. Let a(w) = -8 - w + 5*w - 3*w. Let g be a(b). Which is greater: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 8*t + 111. Determine b(12).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -97*s + 1. Let m be g(-2). Suppose -3*o - m + 33 = -3*q, 0 = -5*o - 4*q - 225. Let w = 72 + o. Solve 4*y - 5*x = w, -y = 4*x - 5*x - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 6) in base 11?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**(2\/3)*f)*f)\/(f*f\/f**37*f))\/(f\/(f\/(f\/((f\/(((f*f**11)\/f)\/f))\/f)))*f**(-23)\/f) assuming f is positive.\nAnswer: f**(145\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2674550 + 2674557 - 12*g + 2674548 + 2674546 - 10698201.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -70, -0.5, 0.5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1054 and 172.\nAnswer: 181288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 - (-11 + 11 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(891)*-1 - sqrt(891).\nAnswer: -45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 7\/(28\/(-16)). Let v(l) = -2*l - 4. Let k be v(q). Suppose -k*o - p = 2*p, 4*o + p = 8. Solve 0 = -o*f + 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025105024 rounded to 5 decimal places?\nAnswer: 0.02511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3061 and 2913.\nAnswer: 8916693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -715 (c) -9\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (7 + 0 + -3)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 1, u: 1, c: 1, l: 1}. Give prob of sequence yucp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339105 is divided by 4285.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/((-11)\/((-44)\/12))*2\/(-16). What is the closest to 0 in -1\/2, t, 9, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.54? (a) -2\/3 (b) -0.5 (c) -0.4 (d) 2879 (e) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -201 + 180?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -13*k**2 + 2*k. Let i(t) = -19*t**2. Give m(i(o)).\nAnswer: -4693*o**4 - 38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 27*o**2 - 31*o - 132. Determine w(-28).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5266, 5368, 5480, 5608, 5758?\n\"Answer: d**3 - d**2 + 98*d + 5168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 182415 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-u + 2*u - 2*u) - 5*u + 2*u + 5*u + 823984*u - 411997*u + 76 - 411957*u.\nAnswer: 31*u + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, 3, -12, 5, 4.\nAnswer: -12, 1, 3, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 11*q - 6. Let y be p(5). Suppose 3*t - 9*t = -y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 48 + 1f36c?\nAnswer: 1f3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 157\/476 - 3\/68. Let d be (3 - 4) + 26\/30. Which is the closest to m? (a) -1\/3 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -3*w**4\/4 + 211*w**3\/2 - 384*w**2 - 927*w\/2 - 1323. Suppose t(z) = 0. Calculate z.\nAnswer: -1\/2, 3, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22264289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.0775 weeks in hours?\nAnswer: 52933.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40471 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*y + y - k, -y + 2*k - 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*y + 4, -4*l + 23 = -2*y + 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -25*l**4\/4 - 2*l**3\/3 - l**2\/2 + 6. Let r be x(-1). What is the greatest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 88*b**4 - 170*b**3 + 84*b**2.\nAnswer: -2*b**2*(b - 42)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 2, w: 1, k: 7, s: 2, j: 1}. Give prob of sequence hsj.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42840\/(-952)*(-20)\/(-5)*2\/(-9).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1434*r - 456 = -1377*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 5) + -2 + -60. Let f = 104 + a. Suppose 2*o = -5*m + 4*m + 28, 4*o - f = -m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 31*h**2 + 54*h + 120. Let x be l(29). Put x, -0.02, -2\/11, 11 in descending order.\nAnswer: 11, x, -0.02, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(1\/4)*a)\/a)**47)**(-21\/5)\/(((a\/a**4*a)\/a)\/a*a*a\/a**3*(a**1)**(-32)) assuming a is positive.\nAnswer: a**(-839\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011101000011 - 10?\nAnswer: 1100011101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156925*b - 888*b**2 - 156925*b to the form r + y*b**2 + w*b and give y.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -21. What is the first derivative of -h + v - v + 5 - 2*v**4 wrt v?\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8490 + 8484. Let h(v) = v**3 + 8*v**2 - 2*v - 16. What is h(m)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 36 + -28 - 63 - (-4 - 7 - 4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 12*m + 2. Let t be n(-6). Let o be (3\/24)\/(4 - 9\/t). Which is the closest to 0.1? (a) 5 (b) -20 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + -47 + (9 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56725056, 113450098, 170175126, 226900134, 283625116, 340350066, 397074978?\n\"Answer: -h**3 - h**2 + 56725052*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 278392 divided by -356?\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -833 - -864. Solve 9 = -8*d - o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -28, 12, 2, -4.\nAnswer: -28, -12, -4, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 3*z + 5. Let p be g(-1). Let w be (-21)\/(-3) + (-2)\/1. Suppose 3*n = -2*s + 5*s - 54, 0 = -p*s - w*n + 90. Solve 4*j + 0*j - s = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/4)\/((-17)\/(-68)). Let y be (2 - g\/(-4))\/1*0. Solve 12 = -5*n - 3*f, 16 + y = -5*n + f for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v + 2. Let t(d) = -127*d**2 - 12*d - 368. Let o(m) = t(m) - 6*u(m). Find the first derivative of o(f) wrt f.\nAnswer: -254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:38 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 4) + -11 + 9 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0825 and 168652?\nAnswer: 13913.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3\/2 + 1653\/4*v - 1245\/2*v**2 + 831\/4*v**3 = 0.\nAnswer: -1\/277, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 1274*o + 8876. Suppose -y - 2*t + 7*t + 32 = 0, t = -3*y + 16. Calculate the lowest common multiple of x(7) and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*f**2 - 59592 + 59592)*(4*f**2 - 3*f**2 - 2*f**2) - f**4 - 2*f**2 + 2*f**2 + (-2*f**4 + 0 + 0)*(2 + 0 - 1).\nAnswer: 102*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(392)\/sqrt(7)*6 - sqrt(56) - sqrt(224)\/(sqrt(32)\/sqrt(8)))\/((sqrt(392) + (sqrt(392) - -3*sqrt(392))*-6)*6).\nAnswer: -2*sqrt(7)\/483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84\/41 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - 760\/(-60). Suppose 1910000 = -d*q + 12*q. Round q to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1442?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/66 and -107\/26268?\nAnswer: 26268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78)\/(-15) - 6\/30. Solve f*n - 13 = 3*i, -9 = -i - 3*n + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4451590 and 3561272.\nAnswer: 17806360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 344*o + 147*o + 746*o to the form f + w*o and give w.\nAnswer: 1237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13411 + 233134?\nAnswer: 250545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b - 1. Let p(w) = 9*w**2 + 4*w - 3. Let x(a) = -3*i(a) + p(a). Let y be x(-1). Solve y*u = -14 + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 1\/9, 0, 1\/18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -263*d**2 - 4*d + 746. Let c be t(0). Calculate the greatest common factor of c and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -5 (c) -2 (d) -0.3283\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38470946, 38470944, 38470942, 38470940, 38470938?\nAnswer: 38470936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-4*t + t + 5*t)*(2 - 2 - 10).\nAnswer: 60*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/30 + 13*k**5\/60 + 23*k**4\/12 + 110*k**2. Find the second derivative of h(b) wrt b.\nAnswer: 24*b + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375797, -751595, -1127391, -1503185, -1878977, -2254767?\nAnswer: -2630555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153 + 172. What is the third smallest value in o, -0.3, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from ymlmmtyyym?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 7:51 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6432362 is divided by 4257?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1019 = -l - 4*n - 519, -3*l + 5*n - 4529 = 0. Is -12 + (1 - -4) - l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21870 - 8221. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + d + 0 = 9, 0 = -4*n + 3*d - 23. What is the second smallest value in 3, -1\/4, n, -0.01?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 3\/4 (c) 2\/9 (d) 229 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1479250000 to the nearest 1000000.\nAnswer: -1479000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2879*h - 1418*h - 2066*h)*(0*h - 5*h + 3*h).\nAnswer: 1210*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.6, -0.4, -4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 4. Let b be w(0). Let v(y) = -y**2 - y + 2. Determine v(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2191.\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358661*d**5 + 8*d**2 - 2*d + 1413?\nAnswer: 21519660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1502 - 109.5498. What is a rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h. Let y(q) be the first derivative of q**5\/120 - 5*q**3\/3 + 9. Let o(s) be the third derivative of y(s). Give c(o(a)).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 91375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -100. Let j be -1 + (4 - 2\/2 - u). Let d = j + -34. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8007441204?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in hours?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 0)*(2 + 0 - 1) + 0 - 5 + 0 - 2 - 5 + 2)*(r - 2*r - 3*r).\nAnswer: 44*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8508, -1, 5 in decreasing order.\nAnswer: 8508, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105746623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 160?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457962577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -241889?\nAnswer: -241889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*y**3 + 14*y - 22*y**3 + 48*y**3 - 26*y**3 + y to p*y**3 + z + c*y + d*y**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344416 is divided by 11108?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14629*c**3 + 415*c**2 - 10*c?\nAnswer: 87774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, p: 5, e: 1, x: 5}. What is prob of sequence expp?\nAnswer: 5\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1752*v - 281880. Give z(-161).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 12) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 7*c + 169072 = -27248. What are the prime factors of c?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 1\/79 (c) 7 (d) 4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 506, 1788, 3916, 6884, 10686, 15316?\n\"Answer: -m**3 + 429*m**2 + 2*m + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1148*u**5 + 2*u**4 + 1711*u wrt u.\nAnswer: 22960*u**3 + 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -479 + 480. Let f(i) = 1342 + 1340 - 4022 + 1342 + 17*i. Calculate f(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21. Which is bigger: 2\/1361 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153161458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4679775 rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4*t**2 - 156*t + 11. Let q(k) = 6*k**2 + 153*k - 10. Determine 3*q(r) + 4*w(r).\nAnswer: 2*r**2 - 165*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, -26, -4, -2 in increasing order.\nAnswer: -26, -4, -2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 560*q**2 - 647*q + 14*q**3 + q**3 + 148*q - 190*q**4 - 5*q**5 + 119*q = 0.\nAnswer: -38, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 183577455 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 7*w + 3. Let q = 14 + -9. Suppose 15 = 3*x + 2*g, 3*x + 4*g = 2*x + q. Suppose 0 = -c - x + 3. What is p(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-12 + (2 - 2)). Let a be (w\/16)\/((-2)\/(-8)). Find the second derivative of 4*v - a*v + 0*v**2 - 3*v**2 wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -33*m + 119. Let x be p(-3). Let i be (152*-1)\/((-2)\/(-2)). Let v = x + i. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -1329418?\nAnswer: 1329420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.54 and 51218.\nAnswer: 27657.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 7. Let o be w(-4). Suppose o*r + 3 = -3, -76 = a - 3*r. Let d be a\/(-8) + 2\/(-8). Solve -2*k - 11 = -5, j + d = -4*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 13. Determine m(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 97318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*d**3 + 2*d**2*f**3 + 23*d*f - 2*d + 3*f**3 wrt d.\nAnswer: -90*d + 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 126. Suppose 5*u + v*b - 468 = 4*u, 3*b = 0. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28715 + -28680 - (1 + -62 + -1).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 726858 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 6*u + 7. Let n be w(-6). Solve -5 = 2*a - n*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5\/2 - 39*l**4 - 225*l**3 - 240*l**2 + 447*l\/2 + 279 = 0 for l.\nAnswer: -3, -2, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -725*y + 2170*y + 894*y + 2136*y.\nAnswer: 4475*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/(-24) + (-6)\/(-9))*2. Let g(o) = -531*o - 2. Is g(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14517497 composite?\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 3:33 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 10. What is a(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.75 - 11992242?\nAnswer: -11992172.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340\/7 + -48. Let 0 - q*t**3 + 4\/7*t + 4\/7*t**2 - 4\/7*t**4 = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5 + 19 = 0. Let m = -2 + -5. Let c = a + m. Let k(q) = -q - 4. Calculate k(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -5*j + 170. Suppose 4*z = 9*z + j. Let u be 2\/(-6) + (-64)\/z. Solve 10 = -2*n - u*f, -n - 5 = -0*n + 3*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from bwwwwwwbwbb.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 + (-4)\/22. Suppose 4*g = w, 3*n + 3*g = 7*n. Solve n = -r - 4 + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2751934 in ascending order.\nAnswer: -2751934, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1525634, 1525638, 1525642, 1525646, 1525650, 1525654?\n\"Answer: 4*q + 1525630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m*((m\/(m*m**18))\/m)\/m*m*m)\/m)*(m*m**14*m)\/m*m*m assuming m is positive.\nAnswer: m**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -i + 646, 4*r + 499 = -3*i + 2372. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from {v: 1, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + -31. Let k be (l\/(-8))\/(1\/(-2)). Let h = -7 - k. Solve -v = 4*c + 4*v + 17, h*c - v = 13 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3118 - -3119. Which is the smallest value? (a) -0.22 (b) 4 (c) -2\/7 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 22\/34606071?\nAnswer: 22\/34606071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -200674, -200672, -200668, -200662, -200654, -200644?\n\"Answer: g**2 - g - 200674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1281, 1882, 2445, 2970, 3457, 3906, 4317?\n\"Answer: -19*l**2 + 658*l + 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, c: 2}. What is prob of picking 2 c and 1 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -3. Let b be i\/((-8)\/3 - -2). What are the prime factors of (2 - (4 + -1))*b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 0.08273\nAnswer: 0.01727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:39 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -208 - -291. Let i = 146 - x. What is the lowest common multiple of 10 and i?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/210 and 61\/15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/11 + 84937*i\/11 - 1104350\/11 = 0 for i.\nAnswer: -84950, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k + 6. Let y be w(1). Suppose y = -2*c - 2, 4*x - 9*c + 14*c + 1633 = 0. Put 4, 2, x in decreasing order.\nAnswer: 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2640 and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggv when four letters picked without replacement from gggvgbgbvb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25756848 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6435 - -13342. Let u be (-1 + l\/2)\/(-4). Let m = u - -3421\/4. Calculate the common denominator of m and -29\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1089*31\nAnswer: -33759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2\/29))\/((c**(-16)\/c)\/c))\/(((c\/c**(-2\/17))\/c)\/c**(5\/4)) assuming c is positive.\nAnswer: c**(39565\/1972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 0 + -5)**2 + sqrt(847) + sqrt(847) + ((-6*(-2*sqrt(847))**2 + sqrt(847) - sqrt(847) - sqrt(847)) + sqrt(847) - sqrt(847) - sqrt(847)).\nAnswer: -19456 - 110*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**3\/2 - 9*u**2\/2 + 7*u. Let b be v(-7). Let w = -16 + b. Sort w, 4, -3.\nAnswer: w, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -390639\/95 - -4113. Let v = -4\/19 + w. What is the fourth smallest value in -1\/2, -12, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -13*y + 7*y. Find the third derivative of 57*f**5 + 8*f**2 - 57*f**5 + y*f**6 wrt f.\nAnswer: 1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-6) + 42\/36. Suppose 0 = -5*y + f + 9. Does 19 divide y + -2 + 16 + 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyxkekeqxx. Give prob of sequence ke.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2497 = -2*c, -5*y + 1016 = 3*c - 1476. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 0) + (12 - 2) - 12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297572, 297513, 297470, 297449, 297456, 297497?\nAnswer: 297578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 0*f + 1\/7*f**2 + 2\/21*f**3 - 1\/14*f**4 - 2\/35*f**5 - 7. What is w in m(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -261, -751, -1475, -2439, -3649, -5111, -6831, -8815?\n\"Answer: -q**3 - 111*q**2 - 150*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -75*i + 2. Does 7 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**4 - 11630*r**3 - 93405*r**2 + 105030*r.\nAnswer: 5*r*(r - 2334)*(r - 1)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144208 is divided by 72002.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from elzms?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*w - 168 = -4*g - 583*w, -3*w + 68 = 2*g. Calculate the remainder when 363 is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i + 3. Let b(s) = -2*s**2 + 7*s + 11. Let o be b(4). Let h(g) = 2 + 3*g + o*g - g - 4*g. Give 4*c(p) - 5*h(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04198553 rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 3, 3\/8, -0.33, -3\/7 in descending order.\nAnswer: 3, 3\/8, 0.04, -0.33, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 0.1918?\nAnswer: 2.3016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 12:36 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9.1459 and 535.\nAnswer: 525.8541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*q**2 - 96*q + 96*q + 72*q**2 - 38*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(-36)*(-2)\/((1920\/36)\/(-16)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6904345 to the power of 1\/2, to the nearest integer?\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -21.76?\nAnswer: -8.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 41, 3.\nAnswer: 2, 3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2024 + 2026. Solve 2*t - 2*z = 6*t, -i*z = -2*t + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 14722 + 17836 = -435*f for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44081776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-4) - 3)\/(8\/24*3). Let h(a) be the first derivative of 0*a**3 - 20 + 0*a**2 + 20*a + t*a**4. What is the derivative of h(f) wrt f?\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 9*h - 7. Let p(l) = -l**2 + 5*l - 4. Let d(m) = 5*p(m) - 3*s(m). Give d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2860 + -2855. Solve -5*t = -o + 5, -2*o = -o + 2*t - x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 227920160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*a = -64*a - 25 + 260 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -9, -0.5, -1\/5, 0.3, 7\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5658.116 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 - (8 - (-21 + 19)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 12:58 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16441\/4190 - 10\/419. Find the common denominator of -93\/50 and n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 286.33114 and -3.\nAnswer: -858.99342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 28110628 and 28110627 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97855873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 361417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 611 + -589. Suppose -8*w + t = -58. Solve 4*c + w = 14*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 6 = -l + 6*y, 0 = 5*l - y + 2. Let x be -2 - -5*178\/450. Sort l, 1\/6, -4, x in decreasing order.\nAnswer: 1\/6, l, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 2*a - 104. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 1)*(4*i**3 + 0*i**3 - 3*i**3).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1101101010101000 (base 2) to base 15\nAnswer: 118bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - l - 6 = 2*l, 4*d - 4*l = 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/494 and 53\/48854.\nAnswer: 928226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94526.39kg in tonnes?\nAnswer: 94.52639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 2)*(x + 47*x + 6*x) + 0*x + 0*x + 3*x to the form r + w*x and give w.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*r - 3*s, -4*s + 5 = 5*r + 3. Let h(q) = 5 - 3 - 9*q + 2*q + q**r + 4. What is h(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -232 (b) 1410 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25184.000006267 + -25184. What is o rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 + c - 2. Let y(s) = 4*s**2 + 1. Let t(l) = 3*w(l) + 5*y(l). What is t(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 17. Is 702\/6 - (2 + o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319518 by 2619.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, i: 2}. Give prob of picking 3 o.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5383930 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 - 14*f**2 + 7*f + 8. Let y(g) = 2*g**3 - 5*g**2 + 2*g + 3. Suppose -5*j = 45, -51 = 2*s + 51*j - 46*j. Give s*p(t) + 8*y(t).\nAnswer: -2*t**3 + 2*t**2 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjvhnfvwjnw. What is prob of picking 2 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666276.\nAnswer: 2, 3, 13, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 33. Solve h*j + j = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 16 = 0. Let j(r) = r - 6. Let m be j(v). Suppose l - 14 = -0*l + 3*u, -4*u = -m*l + 22. Solve l*k + i - 22 = -0*k, 2*i - 19 = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2)*p*p)**(-3\/5)*(p**1)**(14\/3) assuming p is positive.\nAnswer: p**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25736*n - 84833*n + 687 - 687.\nAnswer: -59097*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/3 + 1 - 3)\/((-2)\/6). Which is the third smallest value? (a) m (b) -5 (c) 1 (d) -1.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1352142 to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -412491 plus -15?\nAnswer: -412506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169127279?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(7) + sqrt(7) + sqrt(7)*-1 + 4)**2 - (sqrt(84)\/sqrt(6))\/sqrt(2)).\nAnswer: 7*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2406 take away 588.6?\nAnswer: -2994.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 2878 (c) -428.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 1 - 1)*(4*p**2 - p**2 - 2*p**2) - 3*p**5 + 0*p**5 - p**5 - 4*p**5 + 3*p**5 - p**5 + (2*p**4 - 3 + 3)*(-2*p + 2*p + 2*p).\nAnswer: -p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 377*g - 380*g - 2 - 1. Calculate d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 11 + 6*u**2 - 5*u**2 - 2*u**2 - 4*u**2 + (-3 + 1 + 3)*(-4*u + 4*u + u**2) - 2*u**2 - 10*u**2 + 5*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*h + 26 - 26 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Let v be ((-8)\/(-2))\/1 + i. Find the first derivative of -1 + v - 1 - k wrt k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68+0.0227\nAnswer: -67.9773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -362, -768, -1174, -1580?\n\"Answer: -406*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -1020120212?\nAnswer: 1020120221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-4 + 1 + 7*j**3 - 10*j**3) + (-3 + j + 3)*(-2*j**2 + 6*j**2 + 0*j**2).\nAnswer: 7*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111011 + -100101110010100001?\nAnswer: -100101111111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47320.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108545*b**6*x**3 + 2*b**6 - 196*b**2*x**3 + 42*b**2 + 1 wrt b.\nAnswer: 13025400*b**3*x**3 + 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763551.\nAnswer: 3, 43, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3171136318 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-2 - 8) + -1. Let p = 13 + v. Let z be 3\/(-12) - (-34800001)\/p. What is z rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -13*q**3 + q. Let t be l(-1). Let v = t + -14. Is -2*(-1 - (-11)\/v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/213? (a) 0.5 (b) 3\/17 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**4\/12 + x**2. Let d(y) be the second derivative of -y**4\/2 + 71*y. Determine m(d(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 5:37 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 316 + -499. Let s = h + 184. What is the closest to 1 in 0, s, 0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 50*w + 235 + 235 = 164, 88*w - 84*w = -4*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -142, -215, -290, -367?\nAnswer: -446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -561 + 1689 = 24*i. What is the highest common factor of 1739 and i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:50 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 270650?\nAnswer: 54130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 10:58 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2*d - 2*d**4 + 3*d**5 - 5*d**5 + 0*d**4 + 4*d**2 + 7*d**3 - 3*d**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - u - 4*u = -3, -19 = -4*g - u. Suppose -5*p - 2*f = -18, 3*p - 16 + 0 = g*f. Solve o - 25 = -p*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/8 + 383823*t\/8 - 191913\/4 = 0.\nAnswer: -127942, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = v - 542 - 302, 0 = 5*z + 4*v + 1401. Is 0 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8566, 17103, 25614, 34093, 42534, 50931, 59278, 67569?\nAnswer: 75798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1739 - 1695. Sort -24, 1, a.\nAnswer: -24, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 11. Let v be g(0). What is the units digit of (-12)\/(-10)*(v - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16*b + 17 - 40 - 184*b + 3*b. Is n(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**3 - 8*m - 2. Let u(d) = -220*d**3 + 175*d + 45. Let j(n) = -130*s(n) - 6*u(n). Let c = -15 - -8. Let r be j(c). Round r to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44447, -44521, -44659, -44873, -45175, -45577, -46091?\nAnswer: -46729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 30\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w - 922. Give a(70).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = d - 672, -2*d + 3*a + 1328 + 28 = 0. List the prime factors of d.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216 and 4728.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n + 7 - 7.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(7\/(-196)*4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2862\/(-1113)*231\/44*1\/(6\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1234 - 1444762?\nAnswer: -1443526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -410*s + 598. What is the hundreds digit of p(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -3\/7, -9\/4, -1, -0.15, -10\/67?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-4*-17*50\/(-680).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 204730*k + 819000.\nAnswer: -5*(k - 40950)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p + 10. List the prime factors of k(9).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3.3. Let v = 0.3 + q. Let l = 20\/9 - 89\/36. What is the closest to v in 0.1, l, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1398*f - 850*f + 729*f as w*f + h and give w.\nAnswer: -1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58 + 58 - 75*p - 252*p to the form k + s*p and give s.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1276 - 320. Calculate the greatest common divisor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 5:34 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1336*k**3 - 33*k**2 + 5*k - 8598. Let j(u) = -267*u**3 + 6*u**2 - u + 1718. Let n(b) = 11*j(b) + 2*p(b). Differentiate n(l) wrt l.\nAnswer: -795*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cncc when four letters picked without replacement from nycnnynncnncnnnccnn.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + y)*(-2 + 51*y**3 - 2*y**2 - 9*y - 105*y**3 + 55*y**3).\nAnswer: y**4 - 2*y**3 - 9*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 11:56 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-3)\/((-9)\/(-6)). Let u = -1 + m. Let l = 234 + -2104\/9. Which is the closest to u? (a) l (b) -4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48045 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) 2 (c) -21 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 29*n - 10 = -24*n, -5*n = -u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 0*q**3 + q**3)*(1 - 3 + 0) + q**3 + 0*q**2 + 0*q**2 - 3 - q**3 + 3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Suppose 2*a - 3 = 2*x - 5*x, -3*x - 6 = -a. Suppose 4*w = -5*c + 1, 4*c = 2*w - 6*w. Let s(b) = c - 3*b - 3*b + 4*b. Calculate x*s(y) + l(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533515 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/60951, -8\/3.\nAnswer: -8\/3, -0.1, 2\/60951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 54834673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12 (b) 2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*x - 44*x - 37*x - 4238 = 5032 for x.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 1, c: 2, j: 2, w: 5, t: 1}. What is prob of picking 1 c and 1 w?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37765*q + 7104 = 37573*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 33 + 13 = 0. Suppose -c*d - 38 = -8*d + 5*b, -30 = -2*d - 3*b. Calculate the greatest common factor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3296975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w**4 + 64*w**3 - 282*w**2 + 222*w + 6. Let v(u) = -3*u**4 + u**2 - u - 1. Let t(y) = j(y) + 6*v(y). Suppose t(b) = 0. What is b?\nAnswer: 0, 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1270272*a**4 - 11750*a**2 + 25*a?\nAnswer: -30486528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3406.\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:44 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 10*q - 23 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 9 + 20)*(0*j**2 + 0*j**2 + j**4).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000636226 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1808*w + 253*w + 88155 = 377*w + 27*w for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 171, 170, 169?\n\"Answer: -d + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 27, 25, 25, 27?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54858 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 1 + (-19 + -15 - -31) + 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 6*o**2 - 1. Let s be b(-1). Suppose -3*p + s*p - 6 = 0. Solve p = -5*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/3, -1, -478727?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*n - 7 + 1, -n + 11 = -4*k. What is the second biggest value in n, 0.05, 0.2, 0.1, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3641420*c - 3641425*c - 100 = 5*a, c + 14 = 5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2694020 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 31*t + 886. Give n(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 5*o**2 + 16*o + 80. What is i(-6)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29200194437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/34, 9, -2\/3, -0.07, 1, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -54. Let l = 19.2 + 4.7. Let w = m + l. Which is the third smallest value? (a) 2 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 127 + 140 = p, 0 = 5*p + h - 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14242 divided by 7121?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -4 (c) -4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 17*k - 465. Let u be l(-33). Solve 0 = -3*z + 57 - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-11)\/(-110))\/(216\/32).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78756278 to the power of 1\/2, to the nearest integer?\nAnswer: 8874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 6225016 and -0.025.\nAnswer: 6225015.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 91 - 13. Let z = s + -53\/2. Let i = 2 + -3. Which is the smallest value? (a) z (b) i (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 544 by -14.\nAnswer: -272\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-12))\/(0 - -6 - (-6832)\/(-252)). Let v be 4\/10 + (-1138)\/304. Let i = x - v. What is the common denominator of -119\/10 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.8. Let f = -0.2 + v. Which is the smallest value? (a) f (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -193*a**5\/5 - 605*a**4\/24 - 22*a**2 - 21*a. Find the second derivative of j(w) wrt w.\nAnswer: -4632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -103411342?\nAnswer: 103411351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - 18*(-4)\/16. Factor -2*t**3 - 1\/5 - t - 1\/5*t**5 - 2*t**2 - t**g.\nAnswer: -(t + 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/88788103 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 37*h + 3. Let u(o) = -9*o**2 + 110*o + 8. Determine -8*c(t) + 3*u(t).\nAnswer: -3*t**2 + 34*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 235*l = 238*l - 31, 0 = -2*b - 3*l + 43 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47302, -94610, -141918, -189226, -236534, -283842?\nAnswer: -331150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*a - 80. Calculate the remainder when 30 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/14 or -276?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. What is the remainder when 9 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eepppepppecpepepece. Give prob of picking 1 e and 1 p.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 40*p**2. Let j(o) = -7*o**2 - 10. Give u(j(r)).\nAnswer: 1960*r**4 + 5600*r**2 + 4000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**4 - 6095*a**3 - 273630*a**2 - 3913140*a - 18453400.\nAnswer: 5*(a + 14)**3*(3*a - 1345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 370213551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1661022590.\nAnswer: 2, 5, 166102259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 4, -1.18 in decreasing order.\nAnswer: 4, -0.08, -1.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/25385728 and 7\/507714560.\nAnswer: 507714560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - 2) + 80\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 a factor of 92707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 600\/275 + (-14)\/91 + (-4)\/143. What is the closest to -2.3 in h, -1\/5, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -98*z + 589. Let y be m(6). Suppose 0 = 11*l - 7*l - 16. Solve -y + l = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 2. Let h(o) = -3*o - 26. Let k be 8 + -19 + 2 + -3. Let v be h(k). Suppose 4*x - v = -2. Calculate f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 70 = x, 6 + 9 = 3*g. Let u = x - -68. Solve 18 = -3*r + 3*j, 6 + 3 = u*j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**3 + 21 + 11 - 30 - 3*r to the form u*r**2 + s*r + k*r**3 + c and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7196 = -1243 - 9384. List the prime factors of f.\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 8*d + 4. Let n be p(4). Let v be (24 - n)\/(2\/(-3)). Let b be 6 + -3 - (-32)\/v. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -5a8aae?\nAnswer: -5a8ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:44 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6594, -6598, -6602, -6606?\nAnswer: -6610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 8. Let j(o) = 12*o - 16. Let d(q) = -2*j(q) + 5*p(q). Let a = -2231 + 2236. Let c be d(a). Solve -w = 4, 3*w = 2*x - w - c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 23*r**2 - 97*r - 94. Give n(17).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 7. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v - 2. Let k = 8 + -15. Let g be n(k). Let c = g + 46. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3)\/(-3)*(-3)\/5.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495087535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 63*z + 109418 - 109418. Let w(n) = n**2 - n**2 - n**2 - n**2. What is u(w(x))?\nAnswer: -126*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/29 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3000430 - -155?\nAnswer: 3001025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, 1, 1\/7, -2.5075 in increasing order.\nAnswer: -2.5075, -2\/9, 1\/7, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:47 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8388, -16782, -25178, -33576, -41976?\nAnswer: -50378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/63 (c) -37 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 72*i - 180.\nAnswer: -4*(i - 15)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 9078*t - 9073*t + 1, w - 16 = -4*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bklkdklklldkvdlb. What is prob of sequence dv?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -705332\/7 or -100762?\nAnswer: -705332\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35289757*w*y - 42278717*w wrt y?\nAnswer: -35289757*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 7. Let l be (j - -1)*(4 - 2). Let h be l\/3*(-6)\/(-4). Which is greater: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 126 - 632\/5. Let l = -16 - -11. Let g = l + 10. Which is the nearest to q? (a) 2 (b) g (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59126051 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/(-14040)*585*(-1)\/(-767).\nAnswer: -1\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113.06 + -115. Let g = 206.94 + l. Let b = -204.9999847 + g. Round b to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 4*y - 22, -9*y = -14*y - 3*o + 28 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4010798*j**3 + 828071*j**2 + 4.\nAnswer: 24064788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5079, 20305, 45681, 81207, 126883, 182709?\n\"Answer: 5075*w**2 + w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 5:27 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -432, -725, -1018?\n\"Answer: -293*a - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**4\/8 - 5*a**3\/2 + 9*a**2. Let h be o(6). Suppose 18 + 9 = d. What is the greatest common divisor of h and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79065479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {h: 17, c: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001518 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3*x + 5)*(-5*x**3 + 3*x**3 + 4*x**3) + (x**2 + 0*x**2 + x**2)*(-2*x**2 - 4*x**2 + 5*x**2).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and 0.93304.\nAnswer: 0.92304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 391915748?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngnn when four letters picked without replacement from ggnnng?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012121100 (base 3) to base 8.\nAnswer: 241602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3178147*n**2 + 1988420*n - 2?\nAnswer: 6356294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/9))\/o)\/(o\/((o\/(o\/(o*o**13))*o*o)\/o)) assuming o is positive.\nAnswer: o**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u - 2*u + u)*(3*u**2 - 3*u**2 + u**2)*(-2*u + u + 3*u).\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h - 10. Suppose 9 = 2*r + h*l - 2*l, 0 = -2*r - 5*l + 11. Suppose y + 0*k - 66 = -2*k, -r*k = -3*y + 171. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 373, 1, -41, 3 in increasing order.\nAnswer: -41, 1, 3, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -917*n + 44556 = -9097 - 3155 - 42228 for n.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 83 - 28 + 50*g - 26.\nAnswer: 50*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-1650)\/5)\/(-6))\/(30\/(-9)*33\/(-44))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 416 - 4*j**2 - 416 + 8*j in the form i + h*j**2 + r*j and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 1 c when three letters picked without replacement from {l: 2, c: 1, b: 1, d: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9835.5 + -9835. Which is the second biggest value? (a) m (b) -1.2 (c) -19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -2243540266?\nAnswer: -2243540262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 40863*b + 208*b**2 - 3 + 4 - 22*b**2 + 40862*b.\nAnswer: 186*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 728208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + 220\/33. Suppose 8*m + h*m - 3668 = 0. What is the remainder when m is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 5*d**3 - 5*d**3 + (d**2 + 0*d + 0*d)*(-3 + 3 + d) - 4*d**3 - 3*d**3 - d**3 to p + j*d**2 + r*d**3 + z*d and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -20. Suppose -93*n = -71*n - 154. Let b(u) = -n + y - 3*u - 13*u. Determine b(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 7*g + 15. Let d be (-5 - -8) + 2\/2. Suppose h + d*v = 5, 5*h - 25 = v - 3*v. What is the highest common divisor of h and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 12*i - 3201. Suppose -3*x + 253 = 5*l - 618, -l = x - i. What is x rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 21 = -2*f. Suppose 209 = f*j - 134. Suppose 0 = -6*v - v + j. What is the lowest common multiple of v and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in years?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Let t = 0.105 + 0.195. Which is the closest to 2? (a) u (b) t (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Suppose -5*t + o = -32. Suppose 3*v - 16 = -t. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29815 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-13 + 23)) + (51 - (-2 - -13))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-48))\/(172\/(-19092))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w**3\/7 - 2838*w**2\/7 - 11478*w\/7 + 14310\/7 = 0 for w.\nAnswer: -5, 1, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2161*p + 5066 = -2127*p. Calculate the lowest common multiple of 5 and p.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.9*3025\nAnswer: 32972.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1167 + -1167.1. Let p = 1.3 - 0.3. Let d = p - 1.3. Which is the third smallest value? (a) d (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 377 + 1019 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 150 - 104 + 127)*(5 - 5 - 2)*(6*f + 8*f - 5*f)*(-4 - 3 + 5).\nAnswer: 8676*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.2151633 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 5. Let v be a(0). Suppose 3*o - v*o + 4 = 0. Suppose o*r + 1 = 3*w - 4, -r - 4*w = -14. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5796.53 * 77.\nAnswer: -446332.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*g = -1021447, 5*g + 102645 = c - 101666. Suppose -3*x - 3*r + 204285 = 2*r, -3*x - 3*r + c = 0. What is x rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(832) + 4.\nAnswer: 4 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -26, -1286 in ascending order.\nAnswer: -1286, -26, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 = 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 + (5 - (-6342)\/8). Suppose 4*t = 0, 55*s - 5*t = 56*s - m. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x - 198. What is c(-15)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -9, -4, 1.9, -199, 2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*a - 78166 = 1976*a - 679*a for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 14\/3 (b) -0.2 (c) 5 (d) 0 (e) 272175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -2*q + 18 = -w*q. Is (-30)\/q + 3 + (-8)\/(-12) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*t - 880*t - 16551 = -77931 for t.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 12 + 4. Let g be ((-2 + 6)*1)\/2. What is the units digit of (d + g)\/(0 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/24 and 53\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + -2. Let v = 7\/2 + -3. Put t, v, 2\/5 in descending order.\nAnswer: v, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -217, -529, -943, -1447, -2029, -2677, -3379?\n\"Answer: 2*d**3 - 69*d**2 - 5*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 284\/24 + 3\/18. Let l be (1 + g - 3) + -4. Solve -y = -3 + l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4509863 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 5. Let c be u(6). Let s = -79.57 + 80. Let y = 0.23 - s. What is the nearest to c in 0, -1, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.7 in -1\/2, -3, 0.5, -3\/4, -0.3, -0.377?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9 + 8?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10010110011110?\nAnswer: -10010110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 + 62. Let g be (-2 + 1 - -2)\/((-6)\/a). Suppose -g*c = -305 + 290. Solve -m - 5 = -5*u + 4*m, -m = c*u - 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7842*a + 7571*a + 10298 = 0 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1431*v - 1370*v = 5*k + 4, v - 24 = 2*k - v for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 1 h when three letters picked without replacement from xdhfffhvffh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyykkkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*2*3\/(-4). Let u be (-195)\/w + (-2)\/6. Let r = -4 - u. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155639.\nAnswer: 11, 14149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103155 and 522123?\nAnswer: 33937995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**6 + 2*x**5 + 2*x**2 - 192*x - 1 wrt x.\nAnswer: -240*x**3 + 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36910406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002225628105 rounded to seven decimal places?\nAnswer: 0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 826 and 3419227.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 3*u**2 + 4. Let a be h(-4). Suppose -6*g = -8*g. Suppose 5*s - q - 28 = g, -2*q + q - 18 = -3*s. Solve s*x + a = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*s + 417 + 39 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3 - 80334*x**2 - 3208560*x = 0.\nAnswer: -26738, -40, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -4. Suppose 0 = t*s + 39 - 79. Let -3*u**4 + 8*u**4 - 15*u**3 - s*u**4 + u**2 - 11*u**2 = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/57 and -2\/73 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24*c**2 - 2*c - 2. Let k be r(-1). Let f be (-3*1)\/(k\/(-16)). Let g = f - -4. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/28464 and -31\/171737544.\nAnswer: 343475088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -11202 and -15163912.\nAnswer: -15175114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 17. Which is the nearest to 0.2? (a) -5 (b) -0.3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -1\/112*b**8 + 0 + 0*b**3 + 3\/10*b**5 + 0*b**7 + 0*b + 0*b**4 - 10*b**2 + 0*b**6. What is the third derivative of i(o) wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2. Let z(g) = 45636*g. What is z(a(v))?\nAnswer: 136908*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*f - 439 = -0*g, 0 = 2*g + 4*f + 160. Let a = 883 + g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 45 = 167 - 32 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 2 (b) -3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 6, 36, 68, 96, 114, 116?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22248300002 minus -0.093?\nAnswer: -22248300001.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2716 or 2401?\nAnswer: 2716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23*9 - 2\/(-2). Let j = 17990 + -17910. Calculate the greatest common divisor of j and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/234 + 2 + 2 + -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90277 and 86449.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j - 2. Let b(a) = 4*a + 171. What is b(u) - 2*w(u)?\nAnswer: 18*u + 175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -2 in descending order.\nAnswer: -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1786 in ascending order.\nAnswer: -1786, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2106113 by -123889.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*j**2*p**3 + b*j**2*p - 3*b*j*p**3 + 147*b*j*p + 2*b*p**2 - 4*j**2*p**3 wrt p?\nAnswer: 6*b*j**2 - 18*b*j - 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70394 is divided by 828.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*i - 33, -i + 6*o - 1 = 2*o. Let g = 6 - i. Are g and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12671 is divided by 3147.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5 + 5. Suppose i = v - 4*u + 17, -6*u + 3*u = -15. Suppose 0*q + 5 = o + q, 10 = 5*o + 2*q. Solve v*y + 12 = -3*c, -2*y + o*y = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 3*m**2 - 2*m - 2*m**3 + 8*m in the form z*m + a + r*m**2 + b*m**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -74.6181 to 1 dp.\nAnswer: -74.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/4)\/(15\/40). Let x be (6 - 4\/4)*o. Solve -6*q + q + x = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2 (b) -1\/11 (c) -1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*f = -1422, 5*w + 2*f - 6180 - 930 = 0. Suppose -5*r + w + 453 = 5*s, r = 4*s - 1510. Is 29 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 12, 0, -24, 4, -5 in increasing order.\nAnswer: -24, -9, -5, 0, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 1042016*o\/9 + 135724668032\/9.\nAnswer: 2*(o - 260504)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9623 + -9724.07. Let n = a - -88.104. Let b = 13 + n. What is b rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 5*p + 5. Suppose -p*i + 47 = 17. Suppose 2*d = i*d - 24. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -739504*n**3 + 1520671*n**2 wrt n.\nAnswer: -4437024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*f**5 + 2*f**4 - 8*f**2 - 688*f?\nAnswer: -560*f**3 + 24*f**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u + 15. Let h be z(-5). Suppose c + 3 = -b, h*b + 11 = -15*c + 11*c. What are the prime factors of 53 - 4\/(b + -5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*z**4 + 2386*z**2 - 71202 wrt z?\nAnswer: 352*z**3 + 4772*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 - 93. Calculate the remainder when 29 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5918 * -0.5\nAnswer: -2959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-36)*-24*(-90)\/(-80).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2.95, 0, -126.2 in ascending order.\nAnswer: -126.2, 0, 1, 2.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 + 8536*x**2 + 36871464*x + 3742869312.\nAnswer: (x + 104)*(x + 8484)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*l**2*r**2 - 23*l**2*r - 2*l**2 - 26*r**2 - 56*r wrt l?\nAnswer: 76*l*r**2 - 46*l*r - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - e28935?\nAnswer: -e28939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4180467 + 1434403. Let l = -2746066.979347 - z. Let o = -2.98 - l. What is o rounded to five dps?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(891) + (-4 + sqrt(891))*4)**2.\nAnswer: -5400*sqrt(11) + 68025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*((-30842)\/(-3))\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -576, -1624, -1990, -1332, 692, 4424, 10206?\nAnswer: 18380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201*y**4 + 192 wrt y?\nAnswer: 804*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from puxpphhxxzxuxxhxzup?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -933*j**3 - 3*j**2 + 24*j + 55. What are the prime factors of b(-3)?\nAnswer: 25147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*((-45)\/(-8))\/(-57*46\/(-3496))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1712\/5 + -342. Factor -h*z**4 + 2\/15 + 0*z - 16\/15*z**3 - 4\/5*z**2.\nAnswer: -2*(z + 1)**3*(3*z - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxxxymmxmxmmmxmxxxx. Give prob of picking 3 m.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/((-138)\/253*-1*11)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -35.713\nAnswer: 10.7139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4657682 years?\nAnswer: 5.5892184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32a9 (base 11) to base 2.\nAnswer: 1000100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 6*j + 6. Let b(v) = -5*v**2 - 13*v + 13. Let z(y) = 6*b(y) - 13*s(y). Let g(p) = 0*p**2 + 12*p**2 - 10*p**2. Give g(z(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -12, -40, -82, -138, -208?\n\"Answer: -7*q**2 + 7*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 - 296*k**2 + 95*k - 364. Determine f(-99).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) -0.5 (c) 13\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 430\/86*(-51)\/15\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -237 - -236. Which is bigger: -2\/19 or t?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/5 - 76*y**3\/5 - 642*y**2\/5 + 304*y - 160 = 0. What is y?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98249363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -747 + 4?\nAnswer: -743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/573079 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**5\/60 + u**4\/4 - 5*u**3\/3 - 92*u**2. Give q(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-3\/14)*h)\/h*h*h)**(-1\/64) assuming h is positive.\nAnswer: h**(-39\/896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 480 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**4 - 2222854*m**2 + 5*m - 22861405 wrt m?\nAnswer: -4*m**3 - 4445708*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 9*f + 75. Let m = f + 17. Let b(w) = -w**3 - 5*w**2 + 22*w + 23. Calculate the remainder when b(m) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7\/4, -837, 1\/4, 2\/7, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 greater than or equal to -41492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111001010110001001 (base 2) to base 3.\nAnswer: 221020210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**2 - 21486*r + 1057616 = 0.\nAnswer: -10792, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 + 7*j**2 + 15*j. Let g(x) be the first derivative of o(x). Let z(i) = 2*i**2. What is z(g(n))?\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 4. Let h be r(3). Let f be 7\/2 + h\/(-2). Let a(v) = 5 - 1 - f + 0 + 2*v. What is a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*y**4 + 0*y**4 + 7*y**4)*((-3*y - 6 + 6)*(2 + 2 - 6) + 2*y - 5*y + 2*y).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 1:56 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 340 (b) -8\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8867, 8856, 8833, 8792, 8727, 8632?\n\"Answer: -y**3 - 4*y + 8872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5468 by -5801.\nAnswer: -5468\/5801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r - 1. Let k = 10 - 21. Let q be y(k). Let z = q - 2. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) - 21\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(6\/(-8)))\/(2200\/4620).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9534 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 3*v - 2*v + 5, 15 = -5*s - 3*v. Sort 5, -1, s in ascending order.\nAnswer: -1, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 2248961577*l**3 - 2248961741*l**3 + 3 - 3.\nAnswer: -164*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1077 + 1078. Solve -t - 21 = -11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - 3*v**5 + 2*v**5 + (-17*v**3 + 44*v - 44*v)*(v**2 + 5*v**2 + 0*v**2)*(2 + 3 - 2).\nAnswer: -309*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r + 11. Let w(i) = 3*i - 33. Let v(n) = n - 10. Let d(l) = -10*v(l) + 3*w(l). What is 22*d(u) - 2*s(u)?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 174 = -4*w, 0 = -31*w + 36*w + 15. What is the smallest value in -4, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2104 - -2?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 5*k**2 - 5*k - 1. Determine t(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86255663?\nAnswer: 13, 6635051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3508 = -4*p + 7848. What are the prime factors of p?\nAnswer: 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43784 + 45856. What is the remainder when n is divided by 174?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -289 (base 10) to base 11.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 3\/((-15)\/(-20)). Let o(x) = -x - 4. Calculate o(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32434451\/242 - 134027. What is the common denominator of -61\/24 and l?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/(-8))\/3 - (-836)\/16.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4*g + 5*g - 8*g + 5*g. Let z(i) = 5*i. Calculate v(z(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*4\/(-9))\/(32 - 34) - -6?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649400 rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 780 and 52.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fptf when four letters picked without replacement from ftgpypgpyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12070926, 24141854, 36212784, 48283716, 60354650?\nAnswer: 72425586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 108 = -3*r. Suppose 4*c - r = -3*o, -4*o = -o - c - 13. Let f = 6 - o. Solve 2*j - 7*j - 20 = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/9, 186, 94 in increasing order.\nAnswer: -0.2, -1\/9, 94, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 39*r + 38. Let b be z(-1). Let j be (12\/10)\/(b + 26\/20). Solve -h = j*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 24*f**2 + 28*f - 149. Calculate j(-22).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2223 = 12*t + 2199. Solve 3*x + 1 = p + 4*x, -2*p = 4*x - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 2*z**4 - z**3)*(-1078 + 276*z + 193*z - 467*z).\nAnswer: 4*z**5 - 2156*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 113, 169, 227, 287?\n\"Answer: i**2 + 51*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -11. Suppose 0 = o*r - 3 - 5. Solve r = 4*p + 4*z, -3*p + z - 5 = -8*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5297 is divided by 1760?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 95, 1\/3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172457?\nAnswer: 37, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:43 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 740 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5400 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2 + 5*l + 10. Let w(b) = -b**2 + 2*b + 5. Give 3*c(a) - 7*w(a).\nAnswer: -2*a**2 + a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2*t**2 + 10*c**2*t - 1319*c**2 + c*t - 2*t wrt t.\nAnswer: 4*c**2*t + 10*c**2 + c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837788 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.1 (b) 3\/8 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 2*l**2 - 2*l**2)*(5*l - 3*l - 3*l + (-2*l + l - l)*(-16 + 11 + 11)).\nAnswer: -13*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13\/(-78))\/(3\/(-6))*324\/(-56) and -29\/192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 1. Let y be n(9). Suppose y*l - 3*l - 15 = 0. Which is the biggest value? (a) l (b) -4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 divided by 2\nAnswer: -123\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 - 23220c?\nAnswer: -232220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5754 and 13152.\nAnswer: 92064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2713 = -5*j, j - 4*p + 0*p = 530. Suppose -3*y - l - j = -2543, -2*y = -2*l - 1326. What are the prime factors of y?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 908903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10\/23 + -37\/138. Suppose 3*s = -5*s + 9*s + 28*s. Suppose -a*i**2 + s - 1\/6*i = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2*0\/3. Let n(h) = -2*h + h**3 - h**2 + 3 - 7 + 3*h. Determine n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -102 (c) -8 (d) 3\/280 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 32\/14413?\nAnswer: 32\/14413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.998 from -416547.\nAnswer: -416546.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 0. Let z be (-12)\/2 - (2 + -1). Let j = z + 11. Which is the closest to -0.1? (a) v (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-14 - (-4 + 1 + 10)) + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210100021012 (base 3) in base 16?\nAnswer: -e84f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**4\/6 + 4*x**3\/3 - x**2\/3 - 4*x + 298. Factor j(y).\nAnswer: 2*(y - 1)*(y + 1)*(y + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61648574?\nAnswer: 2, 13, 2371099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -2.3. Let l = 0.6 - b. Suppose -2*y = 16 - 26. What is the closest to -2 in l, y, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 27*f - 1. Give v(-27).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10946*w**2 + 48*w - 48*w.\nAnswer: -10946*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, c: 1, i: 1, y: 6, t: 2}. Give prob of picking 1 w and 1 i.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 - -131241434?\nAnswer: 131241403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -3 - (3 - 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 2*f**3 + 2*f**3)*(f**2 - 3*f**2 + 3*f**2) + f**5 + 3*f - 3*f - 2*f**5 + 3*f**5 - 3*f**5 + 45471*f**4 - 45472*f**4 + 46*f**5 + 195*f**5.\nAnswer: 242*f**5 - f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 0 = -5, 0 = 4*d + 3*u + 195. Let k = 40 + d. Find the common denominator of 2\/11 and (k\/(-6))\/(5 - (-159)\/(-30)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 12. Let n(q) = -517*q**2 - q - 12 + 1028*q**2 - 510*q**2. Let a be n(f). What is the greatest common divisor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8589 and -8589 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 263*d*t*z**2 - 9*d*t*z - 85*d*t + 2*d*z**2 + 5*d*z + 2*t*z**2 + 8*t*z + t - 421*z**2 wrt z?\nAnswer: 526*d*t + 4*d + 4*t - 842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33798, -67597, -101392, -135183, -168970, -202753, -236532?\nAnswer: -270307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 3. Let u = x - -8.8. Let z = -509\/4 + 128. What is the closest to 1 in z, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 782495 and 175460.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 8 + -8 + (-1 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 5 (b) -0.2 (c) -14\/3 (d) -0.0641 (e) -6 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(4\/(-460)) - 2. Is q <= -117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/20 - 4*n**4\/3 - 5*n**3\/2 - 39*n**2\/2 - 629*n. What is o(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o - 2. Let b(g) = g. What is 2*b(c) + y(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4382 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a - 2. Let t(g) = -g**2 + 1. Let j be t(-3). Is 14 a factor of m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 + 383 = 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-0.21\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 361 divided by -3\nAnswer: -361\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i + 26*i + 44*i = 88*i - 930 for i.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2288*b**2*c - b**2*i*l + 678*b**2*i - 10*b**2*l + c*i - 201*c*l + 2*i*l - 4*l with respect to c.\nAnswer: -2288*b**2 + i - 201*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -2054, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -471 - 28921?\nAnswer: -29292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 9}. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28656042 is divided by 495?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -8 - (6 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/934400 and -69\/3200.\nAnswer: 934400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*4 - (sqrt(99) + (sqrt(99) - (1*sqrt(99) + sqrt(99))))\/sqrt(9).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 12*s**2 - 29*s - 20. Let i be o(-8). Let q = -14 - i. Calculate the highest common divisor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t. Let y(c) = -24*c + 20. Let o(z) be the second derivative of -z**3\/6 + z**2\/2 + 23*z. Let g(w) = -20*o(w) + y(w). Calculate g(m(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4.8815456534 + -0.04\nAnswer: 4.8415456534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 4372*w**2 - 1867008*w - 193264704.\nAnswer: 2*(w - 6966)*(w + 204)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58575 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 26. What is the greatest common factor of k and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1194 + 0.3806. What is the third smallest value in -3, 0.06, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*n*q**2*u + 2*n*q**2 - n*u - 2*n - 4*q**2*u + 782*q**2 - 5970*q*u wrt q?\nAnswer: 118*n*u + 4*n - 8*u + 1564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**3 + k**2 - k + 4. Let w(y) = -16*y**3 + y**2 - 2*y + 7. Let r(h) = 5*d(h) - 3*w(h). Let v be r(2). Suppose j - v = -0. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -48. Solve -5*f = -5*v - 20, 0*f = f + 5*v - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91103.02t to grams.\nAnswer: 91103020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28589992 divided by -14294996\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + 16 - (-2 + -18 + 3)) + 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a - 8*a + 3*a. Suppose a = 6*q - q - 45. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3 - 7. Let o = -5505 + 5501. Which is the second biggest value? (a) 3\/8 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 = a + 5, 0 = 4*p - 4*a. Calculate the highest common divisor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 685, 1027, 1369, 1711, 2053?\nAnswer: 2395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 0*s**2 - 2*s**2)*(s**3 - 9*s**3 + 4*s**3)*(14 - 7 + 10).\nAnswer: 68*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*z**4 - 2*z**2 + 15*z**2 - 2*z**3 - 59*z**4 + 18*z**2 wrt z?\nAnswer: 456*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45309993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 18*t + 4. Let m be v(-18). Find the second derivative of i**5 + 2*i - 2*i**2 - 1 + 2*i**2 + 4*i**m - 13*i**4 wrt i.\nAnswer: 20*i**3 - 108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -32\/3*y**4 - 41*y + 0*y**6 + 0*y**2 + 0*y**5 + 0 - 127\/42*y**7 + 0*y**3. Find the third derivative of d(n) wrt n.\nAnswer: -7620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 9*l - 1. Let p be s(-5). Let x be (-969)\/76 - 2\/8. Let o = x + p. Sort -5, o, -1 in increasing order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1436980 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wll. Give prob of picking 1 l and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35875983.\nAnswer: 3, 11, 13, 241, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1856 + 19?\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747560 + 747560 + 1800*a**2 - 1800*a**2 + 2*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*p**2 - 10516800*p - 768076960000.\nAnswer: -4*(3*p + 438200)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25963 is divided by 236.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 3*d + 2*d**3 + 108 - 19.\nAnswer: 2*d**3 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8619, -3, 882 in ascending order.\nAnswer: -3, 882, 8619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3750, -2, 4, -4\/7 in descending order.\nAnswer: 3750, 4, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2 + 23*z - 4. Let y be c(2). Let h(t) be the second derivative of -3\/10*t**y - 1\/10*t**4 + 0 - 3\/10*t**3 + t. Factor h(l).\nAnswer: -3*(l + 1)*(2*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 32*k + 151. Determine d(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4 - 1)*(-28)\/14. Let s = -4 - -4.3. Which is the nearest to t? (a) 0.4 (b) -1\/11 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1609 - 1607. What is the third smallest value in -8, o, 2\/287?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/1367 + -2728\/4101. Which is the nearest to w? (a) 0.2 (b) -2 (c) -5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:02 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 384, 838, 1468?\nAnswer: 2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -67. Let w(d) = d**2 + 4*d + 5. Let c be w(-4). Sort -3, c, k in decreasing order.\nAnswer: c, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-12) + 698\/(-1047)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.267626 times 5\nAnswer: -1.33813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, u: 9}. Give prob of picking 2 h and 2 u.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085591961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrnqcrrqqeernrncanr. What is prob of picking 2 r?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m**3 - 4*m - 3. Let p be w(-1). Let h(b) = -b - 3. What is the remainder when 47 is divided by h(p)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 113552 = 61*n - 4*b, -2*b = 2. List the prime factors of n.\nAnswer: 2, 3, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 + 384*a**2\/5 + 31049*a\/5 + 30666\/5.\nAnswer: (a + 1)*(a + 114)*(a + 269)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {j: 7, y: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 3:52 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -8581?\nAnswer: -8586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61183 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: Sort -5, 5, 3, 197917, -38, 0 in increasing order.\nAnswer: -38, -5, 0, 3, 5, 197917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 7021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 211, 102, -87, -362, -729, -1194, -1763?\n\"Answer: -j**3 - 34*j**2 + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -48*x**3 + 12*x - 12. Let h(f) = -19*f**3 + 5*f - 5. What is -12*h(v) + 5*y(v)?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-54) + (-5)\/((-180)\/28)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-4*f**4 + 0*f**4 + 10*f**4) + (85*f**2 - 133*f + 133*f)*(3*f**2 - 2*f**2 + 2*f**2).\nAnswer: 249*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -252436254 rounded to the nearest one hundred thousand?\nAnswer: -252400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3222931 is divided by 1923?\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-22*d + 3*d - 10*d) - 1 + 0 + 0 - d in the form z*d + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -118600, -0.2 in increasing order.\nAnswer: -118600, -17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**2 + 4859*h - 106980. Give w(-507).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22489765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5426163 + 5426163 + 21*w - 16*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.3025199 millilitres?\nAnswer: 0.0003025199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1384 + 1383.95. Which is the fourth smallest value? (a) z (b) -2 (c) 2 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5)*-1 + 5 + 3*sqrt(15)\/sqrt(3) + 4.\nAnswer: 2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - r + 6. Give m(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) - -1*sqrt(144))\/sqrt(8) + sqrt(18))\/(sqrt(6) + (-6*-1*sqrt(6) - sqrt(6))).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2782 = 4*h - t + 3*t, 3*h - 2076 = -5*t. What is the highest common factor of h and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) - 10\/(-6). Suppose 465 + 295 = w. Suppose -5*g + 3*y = -w, -g - y + 154 = -m*y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1732 + 1?\nAnswer: 1733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cexexxeeexeee. What is prob of sequence xecc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4 + 10542*b**3 + 477792*b**2 + 3444768*b = 0.\nAnswer: -36, -9, 0, 5316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z + 2*z)*(z**2 + z**2 - 4*z**2) + 3*z - z**3 - 3*z + 2*z - 2*z - 4*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 423*y. Let w(v) = 85117*v**2 + 9. What is w(o(p))?\nAnswer: 15229899693*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (28*308\/264)\/6*9\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 + 7*l**3 + 7*l**3 - 24*l**3 + 0 + 15.\nAnswer: 2*l**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -0.3, 4, 30.\nAnswer: -2, -0.3, 4, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 30*f**2 + f. Let d be (-1)\/3 + (-2)\/3. Let o be l(d). Suppose -p - p - o = -x, 2*x + 5*p = 76. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-4)*(-16)\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 10)*4\/10*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 571*d**5\/20 - 2*d**4 - 7*d**2 + 402*d. What is the third derivative of l(i) wrt i?\nAnswer: 3426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4377*x**4 + 4*x**3 + 544*x**2 - 31*x + 413936 wrt x?\nAnswer: -52524*x**2 + 24*x + 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 38*b + 54. Give p(-36).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222444*v - 6 - 222444*v + 6 - 6*v**2 + 0.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2 + 14 = 0. Let q(x) = -x - 1. Give q(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 713228.2 millennia?\nAnswer: 713228200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f**2 + 44*f - 6. Let h(w) = -6*w**2 - 92*w + 11. Let r(o) = -11*d(o) - 6*h(o). Let j(u) = 3*u. Calculate j(r(k)).\nAnswer: 9*k**2 + 204*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q\/(q*q**(-25)\/q)))*q**(-13)*q)\/(q*q*q**(-1\/18)*q*q\/(q\/((q**8*q)\/q*q))) assuming q is positive.\nAnswer: q**(55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 3*c - 2*c**2 + (-5075*c + 7582*c - 5272*c)*(-3*c + 2*c + 0*c).\nAnswer: 2763*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7165 or 7439?\nAnswer: 7439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*f = -p + 11, 2*p + 5*f = 25. Suppose -32 = -4*t + p*n, 3*t - 5*n - 1 = 18. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*j - 30 + 30)*(-2*j + 2*j - j) + (-j + 0*j + 5*j)*(5*j - 2*j + 3*j) to the form m*j**2 + u*j + f and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 1:02 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r - 1445 = 0. Suppose -4*m + i + r = 0, 3*m + i - 213 = -2*i. Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*k**4*p + k**4 + 9*k**2*p + 2*k*p - 2*k + 9*p wrt k?\nAnswer: 336*k**2*p + 12*k**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -28\/3167 (b) 1\/7 (c) -3 (d) -1 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/11 - 5*c\/11 + 4\/11.\nAnswer: (c - 4)*(c - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 32. Let d(g) = g**2 - 3*g + 2. Let f be d(3). Suppose -p = f - 4. What is the least common multiple of l and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(92\/(-8))*(-260)\/234.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 6\/83, -0.1, -1\/4, -3, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and 91\/258.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {g: 5, d: 1, o: 8, c: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r**2 - 36*r - 34. Let v be i(-1). Solve 33 - v = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**4\/7 - 18*n**3\/7 + 24*n**2\/7 + 40*n\/7 = 0?\nAnswer: -10, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1633157 - 1?\nAnswer: 1633156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 - 7 + 8*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**8*(u*u**(5\/2))\/u*u)**(-43) assuming u is positive.\nAnswer: u**(301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-10)*(-12)\/9. Let p = -0.25 - -0.05. What is the nearest to 0 in 4, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q**2 - 7*q - 6. Let i(p) = 26*p**2 - 7*p - 5. Let m(h) = 6*i(h) - 5*u(h). Find the second derivative of m(r) wrt r.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 44175*j**3 - 3*j + 5*j + 44179*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -32*h**3\/3 - h**2 + 18*h + 34. Find the second derivative of p(u) wrt u.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-7)*l*l*l)\/(l\/((l*l**(-20)*l)\/l))*l\/(l**(-3\/14)\/l)*l**(-25))**(-27) assuming l is positive.\nAnswer: l**(17685\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 + (-871)\/52)\/(2655\/8). Do 1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5) - 19617\/65. Which is smaller: o or -301?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 60?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlcl when four letters picked without replacement from {v: 1, l: 3, c: 2, x: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 15534.59 rounded to the nearest one hundred?\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 - 3*o**2 - 3*o - 3. Let n = -30 - -47. Let z = 14 - n. Let h = 11 - 3. Let j(b) = 11*b**3 - 8*b**2 - 8*b - 8. What is h*y(x) + z*j(x)?\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1891*f + 1888*f - 3779*f - 399*f**3.\nAnswer: -399*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*r + 73*r = 476. What are the prime factors of r?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 p, and 1 c when four letters picked without replacement from pprccppcppc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99172, -99033, -98882, -98713, -98520?\n\"Answer: m**3 + 132*m - 99305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -5059*r**2 + 2*r. Let f(o) = 95*o + 1. Give f(h(a)).\nAnswer: -480605*a**2 + 190*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -411 + 900. Is i less than 487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10326029, 10326028, 10326027, 10326026, 10326025, 10326024?\n\"Answer: -j + 10326030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x**2 + 97*x + 38. What is the thousands digit of r(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*n - n. Let i be (-59)\/n + (-24)\/16. What is the greatest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 231 = 30*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 + 6. Let q be (u\/8)\/((-15)\/(-16)). What is the nearest to -1\/4 in q, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 22*f**3 - 26 + 10*f**3 + 10*f**3 to the form n*f**2 + j*f + p*f**3 + g and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 384 = -15*c. Suppose 0 = 293*u - 295*u + c. What is the smallest common multiple of 30 and u?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*l + a, -3*a + 7 = l - 4*a. Solve -5*g + 0 = l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38684 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 > 1\/17733316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 - -10?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236981*s = -237059*s + 7878 for s.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1229.82 - -1261. What is v rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1494184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**9\/72 + 59*p**6\/60 + 2651*p**5\/30 + 2715*p**2. What is the third derivative of s(v) wrt v?\nAnswer: -840*v**3 + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {m: 2, e: 7, b: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a + 64*a**2 + 57*a**2 - 111*a**2 + (a**2 - 5 + 5)*(5 - 1 - 3) + 1 - 1 - 2*a**2 to the form g*a**2 + t + z*a and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cll when three letters picked without replacement from {w: 2, i: 4, o: 3, c: 6, l: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -38. Let w = 0.7 + 2.3. Which is smaller: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 8*w + 29. Let c(q) = -2*q + 7. Let g(a) = -9*c(a) + 2*m(a). What is the tens digit of g(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -38\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 28.9. Let x = o - 24. Let l be -2 + -6 + 536\/64. Which is the fourth smallest value? (a) 1\/3 (b) x (c) l (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1906105813 rounded to the nearest 1000000?\nAnswer: -1906000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 121 = 2*a - 101, -30*a - 222 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/2*(11 + (-7548)\/684). Let k be -3 + 2\/(2 + -3). Which is the nearest to -1? (a) 12 (b) k (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, 14, 151, 414, 845?\n\"Answer: 7*q**3 + 4*q - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10150 (base 8) to base 9\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 20*d**2 - 19*d + 12. Let o be f(19). Suppose -372 = -5*w - o. Calculate the highest common divisor of 36 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -99982*i. Let k(t) = -70*t. What is k(v(q))?\nAnswer: 6998740*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**4*b*b))\/((b*b\/(b**(-4)\/b))\/b)*(((b\/(b*b**(-4\/3)))\/b)\/b)\/b**(-4\/9))**7 assuming b is positive.\nAnswer: b**(-707\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, x: 5, r: 3, i: 2}. What is prob of sequence cci?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m + 125. Put m, 1, 0, -7 in descending order.\nAnswer: m, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - o**2 - 2*o + 2. Let s be w(1). Suppose 0 = -3*y - y + 52. Find the first derivative of -10*f + y - 11*f + s*f wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66016 is divided by 262.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m + 0*m + 3*m)*(-3*m + 3 - 3) - 1 + 1 - 8*m**2 to the form q + f*m + t*m**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*b + 732*b - 282*b = 175*b. Factor -25\/3*q**3 + 20\/3*q**2 + 0*q + b + 5\/3*q**4.\nAnswer: 5*q**2*(q - 4)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + 14\/4. Suppose 118 = -k*d + 2*d - 5*l, -d - l - 130 = 0. Let p = -117 - d. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 324 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 1\/3, -1, -3\/7 in ascending order.\nAnswer: -1, -3\/7, 0.13, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/81)\/(w\/(w*w**(-3\/11)*w)) assuming w is positive.\nAnswer: w**(670\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72491071403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**6\/15 - 4*s**5\/25 - s**4\/5 + 8*s**3\/15 + s**2\/5 - 4*s\/5 + 40. Suppose p(i) = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhf when four letters picked without replacement from hhhhfhhhhhhfhhhhhhfh.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2) + 52 + -159 + 52.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.4, 3\/5, 70, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 + 4 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = -3*n + 69535, 4*n - 92707 = -d. Is n a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 34 - 1 = 3*v, 5*v = t + 55. Suppose 2*q = v*q - 288. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15638641 + 4*f - 1307*f**3 - 4*f + 15638641.\nAnswer: -1307*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3064720 + 3064720 - 17*b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1368 = -2*n, 0 = 2*n + s + 420 + 933. Let a = 678 + n. Suppose 0 - 1\/2*t**3 + 3\/2*t**a + t - 1\/2*t**5 - 3\/2*t**2 = 0. Calculate t.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/5)*(a**(2\/7)\/a)\/a)**(-47) assuming a is positive.\nAnswer: a**(188\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -769.43 - -769.4. What is the nearest to -1 in -19, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20633604.\nAnswer: 2, 3, 1129, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 19, -2, 7.36?\nAnswer: 7.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*r + 25, v + 3*r + 2*r = -20. Let u be 0\/(-6*(-2)\/(-4)). Put 0.2, u, -3\/5, v in descending order.\nAnswer: 0.2, u, -3\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 + 415?\nAnswer: 414.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6367.72 millennia in months?\nAnswer: 76412640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*t = -56*t - 10. Suppose -r - h - 7 = -6*r, 0 = 4*r + 4*h - 20. Which is the closest to t? (a) 1\/2 (b) -2\/7 (c) r (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 76286, 152572, 228858, 305144, 381430, 457716?\n\"Answer: 76286*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 30*v + 536. What is z(-19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8997224887?\nAnswer: 7, 1285317841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -511176 < -511183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -344 - -40. Let c = p + 1223. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + o. Let i be a(-1). Let r be (4 - -16)\/(-2 + 4). Solve -4*k = -i*k - r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 9:00 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365535*s**6 + 7225*s**2 + s - 8 wrt s.\nAnswer: 43864200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555 greater than or equal to 32.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 3:10 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 106242 + -106242. Let d(w) = w**2 - 1. Let p(z) = -7*z**2 - z + 11. Let s(a) = 5*d(a) + p(a). Determine s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 + 9*x + 4. Let r be a(-3). Let f = 252 + r. Is 35 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5831, 34 in descending order.\nAnswer: 5831, 34, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -0.3, -1\/4, -8, -1, -3 in decreasing order.\nAnswer: 2, -1\/4, -0.3, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000624129304 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1126*3.\nAnswer: -3378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -4615449794.1.\nAnswer: -4615449794.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/924 and 61\/2904?\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2002472 + 48*l + 2002472.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.53 - -9.53. Which is smaller: 3.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9) - (-284)\/(-6). Let h be c\/(-30) - (2 - 0). Let j = 0.8 + -4.8. Sort j, h, -3 in descending order.\nAnswer: h, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -498\/5 - -99. Let u(l) = 62*l - 1. Let s be u(-1). Let p be (1\/(-3))\/((-14)\/s). Put 0, p, m in descending order.\nAnswer: 0, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3017284531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040734 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 534000 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -1. What are the prime factors of p\/(0 - (1 - 0))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4) - (-115)\/2. Let u = x - 53. Suppose -d = u*p - p - 210, -3*d = -6. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (640\/(-5 + 1))\/(-1). Suppose -10*w = -26*w + b. Let x(d) = d - 7. Determine x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 34 + 504411*n + 25.\nAnswer: 504411*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 568*v**3 - 974*v**3 + 639*v**3 + (5 - 3 - 4)*(0 + v**3 + 0) + v**2 - 2*v**3 - v**2.\nAnswer: 229*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*60\/(-40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2815.4 + 843.99585\nAnswer: -1971.40415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -3*c**4\/16 + 5*c**3\/2 - 51*c**2\/8 + 6*c + 18. Determine u, given that s(u) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/125 and -121\/20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j + 7717. Let v = j + 4717. What is v rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39494 and 26192985.\nAnswer: 2821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - f + 1. Let x(l) = -8*l**2 + 6*l - 35. Calculate 5*i(z) + x(z).\nAnswer: 2*z**2 + z - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a7615 (base 11) to base 12.\nAnswer: 327429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.8. Let t = -25.97 - 0.03. Let h = t - -29. What is the closest to -1 in f, 1\/5, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*r + 2 = -3, 0 = 4*r - 4. Suppose -h*k + 40 = -0*k. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/6)*s*(s\/s**(2\/15))\/s*(s**(-1\/2))**45)**(1\/37))**29 assuming s is positive.\nAnswer: s**(-9338\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtpmpjptnpptjmi. What is prob of picking 1 t and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -2 (c) 2\/13 (d) 5 (e) -11964 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 294 and 4.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p. Let u(m) = 0*m**2 - m**2 + 2*m**2 + 3*m - 2*m + 2. Let w be u(0). Let y(n) = -n + w*n - 2*n**2 - n. Calculate c(y(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1200, -4719, -10540, -18663, -29088, -41815?\n\"Answer: -1151*n**2 - 66*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20943341 - 358105.\nAnswer: -21301446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 1. Suppose -5*l + 5*o = -45, 6 = -l + 8*o - 10*o. Let n(s) be the second derivative of -5*s**3\/6 - 3*s**2 - s. Calculate l*g(k) + n(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.297 - -27.813. Let f = 29 - s. Round f to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7903714.1 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 0. Let s(k) be the first derivative of k**4\/4 + k**3 - 2*k**2 + 3*k - 1. Let m be s(-4). Solve x - 4*i - 24 = p, -27 = -m*x + 2*i + i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6241 = -296*n + 9793 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*v**2 - 126*v**2 - 203*v + 68*v**2)*(4*v + 3*v - v) to the form y*v**3 + z + k*v**2 + a*v and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v + 441 - 38 = -125. Solve -v*o + 48 = -29 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1754 - -19325\/11. Calculate the common denominator of 131\/6 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*j + 774*j + 1827 + 15083 = 0 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from iyncbcp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3 - -7) - 0) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 390057508 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:21 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 953 divide 1336822656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/7 (b) -0.2 (c) 3\/8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138 - 3 + 7 - 4*y + 32 + 9 to the form w + q*y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 382 = 2*r + 37, t + r - 66 = 0. Let n = t - 68. Solve w + n = -0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 = -15*f + 12433. What is the greatest common divisor of f and 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1102996676 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 + 7. Let b be u(7). What is the highest common divisor of 77 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/83475529 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/11 + (16 - 47412\/297) - (-5 + -7)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5533*d**3*s**2 - 1483*d**3*s + 8*d**2*s + d*s - 16*s**3 wrt s?\nAnswer: -11066*d**3 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 4*v**2 + 2*v - 4. Suppose 2*c - 3*w = -2, -1 = 4*c - w - 7. Let z be (26 - 22) + (-16)\/c. Determine p(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1645450 is divided by 182824?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 25\/2 of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58 + (6\/4)\/(1*1\/(-4)). What is the greatest common divisor of o and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 16. Let y be c(15). Let b be (-112)\/(-10) - y\/(-5). Calculate the greatest common divisor of b and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29298.74 milligrams?\nAnswer: 0.02929874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 65 + 48 - 121 - p. Let b(g) = -g - 7. Let k(s) = -s**3 - 10*s**2 + 2*s + 95. Let d be k(-9). Calculate d*c(t) + 5*b(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 14, 47, 114, 227?\n\"Answer: 2*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 5706*d - 298809.\nAnswer: 3*(d - 1953)*(d + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448864)\/10624)\/(13\/8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/12 + (-30)\/(-8). What is the second derivative of 0*w - l - w + 3 - 2*w**3 wrt w?\nAnswer: -12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwwdiiwwihdwiihwwii. Give prob of picking 1 i, 1 d, and 2 h.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**3*(m*m\/(m**(-4\/5)\/m))\/m*m)\/(m**(-2)*m*m**(3\/8)*m*m*m*m))**(-1\/20) assuming m is positive.\nAnswer: m**(-137\/800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1121 + -4?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2769*t**2. Let f(h) = 56548*h**2. Calculate f(j(o)).\nAnswer: 433573929828*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*q + 9059984 = -q, 2*q + 15099992 = -5*y. Round y to the nearest 100000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*a + 35 = 0, 2*w + 0*w + a = 15. Let r be w\/(-5)*2\/4. What is the nearest to 0.1 in 1, 1\/7, r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/35490 and 19\/221928.\nAnswer: 187529160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyeu when four letters picked without replacement from {u: 3, y: 1, e: 1, z: 4, v: 1, d: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (9 + -6 + (-7 - (4 + -14)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6145 and 180.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -50875719 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -10*b**3 - 8*b - 2228*b**4 - 16*b**2 - b**2 + 2227*b**4 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/255 in -0.5, -93, 0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -2.\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115049?\nAnswer: 11, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f. Let m = -85 - -107. Let n(d) = -d**3 + 22*d**2 + 6. Let w be n(m). What is b(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4901844 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/15, 5, -169, 1, 148 in descending order.\nAnswer: 148, 5, 1, 2\/15, -2, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1166636 and -79\/848.\nAnswer: 4666544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8*1*3\/2. Let p = -129 + 130. Is r != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-6) + (-235)\/(-15). Suppose 0 = 7*z - 3*z + w. Let h be 13 + (0 + z)\/2. What is the greatest common divisor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(13))**2 + sqrt(65)\/sqrt(5)*-3.\nAnswer: -3*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0765, -9, 0.276?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/11 - 1332*s\/11 - 221778\/11 = 0. What is s?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 224681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -21. Let c(s) = 20*s. Let u be c(d). Round u to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.44 - 12.74. Which is the fourth smallest value? (a) 2\/5 (b) 2.82 (c) o (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-2))\/((-55)\/(-33)*(-12)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -23, 0, -2, -113 in increasing order.\nAnswer: -113, -23, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499.61811 rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4\/5 + z**3\/5 - z**2\/5 - z\/5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x**3 + 49*x**2 - 12*x - 27. Let i(w) = -6*w**3 + 17*w**2 - 4*w - 10. Give -8*i(c) + 3*r(c).\nAnswer: -3*c**3 + 11*c**2 - 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3237 + -3241. What is the closest to 0.1 in 3, 5, m, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -13*h**3 + 279*h**2 - 113*h - 45. What is s(21)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.099, -6\/11, -6.2, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6165072 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4803 or -27?\nAnswer: -4803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 145 from -8691181.9.\nAnswer: -8691326.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*b - 35*b - 38 = 3*r, -5*r = 5*b + 55. Let m(q) = -2*q**2 - 9*q + 18. Let g be m(r). Solve 5*y + a - 13 - 15 = 0, g = -5*y - 5*a + 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - -13 - (-1 + -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 953, 1884, 2815, 3746, 4677, 5608?\n\"Answer: 931*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1950714124 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and 483\/(-49) + 1 + 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1692, 6767, 15224, 27063, 42284, 60887, 82872?\n\"Answer: 1691*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -136*h**2 - 2*h**2 + 3*h**2 - 2*h**2 + 114 + 2*h wrt h?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -457, -456, -455, -454, -453?\n\"Answer: z - 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -140.8 >= -15\/5041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 + -692\/5. Let p(b) = b**2 - 1. Let f be p(-2). Sort f, a, -1\/6 in descending order.\nAnswer: f, -1\/6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27 - 27)\/(5*-1) - -11. Suppose -978 + 989 = k*g. Let j = -5235 + 1334927\/255. Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/3366 and (-174)\/5220*(-214)\/(-187)?\nAnswer: 16830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 10. Suppose 5*b = q*o - 55, 3*b = -2*o + 3*o - 15. Calculate the smallest common multiple of o and 12 - (2 + 3\/(-3)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15183960 and 276072?\nAnswer: 15183960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 443 - -65. Suppose -3*z + 77 = -5*t + r, 5*t + z - 423 = 0. Calculate the remainder when t is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186510329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(700) - sqrt(700) - 6*sqrt(700)*-2)**2.\nAnswer: 202300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5219*b + 181. What are the prime factors of d(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-5))\/((-3)\/15). Let j be 2 - (7 + -7 + m). Suppose j*o + o = 0. Solve q - 2 = -g, o*g - 2*g - 3*q = -6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35051047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 2069*y + 3 - 28.\nAnswer: 2069*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -3*r, -10 = -5*y - 6*r + r. Let f = 36 - 24. Calculate the least common multiple of f and y + 0 + 5 + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-275)\/10)\/((-385)\/88)\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7e189 (base 16) in base 11?\nAnswer: 323056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7608 - 7608. Let s = -16 + 18. Which is the fourth biggest value? (a) s (b) 4 (c) w (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-572)\/8*-2*(9 + -8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.5 (b) 2 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1755*x**2 - 820*x**2 - 836*x**2.\nAnswer: 99*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2208, 4415, 6622?\n\"Answer: 2207*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -1087?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.631536 - 2.671. What is a rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78712546967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of o*y*z - 8204*o*z + 2*o + 117370*y*z wrt o.\nAnswer: y*z - 8204*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.6 - 28. Let o = -0.6 + f. Suppose -5 + 20 = -3*i. Which is the smallest value? (a) o (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**3 - 3*q**3 - 7*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479758565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + g - 10)*(1 + 2 - 5) + (2*g - 2*g + 3*g)*(2 + 3 - 3).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 3150.4971977462?\nAnswer: -3150.4971977462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9106443*c**3 - 33*c - 27486 wrt c?\nAnswer: -54638658*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 924 and 438754008.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 63 = 186. Let i = 45 + b. Suppose 0 = -3*x - 5 + i. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2261 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002642 to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 7, 4, -2, -30, -1.\nAnswer: -30, -7, -2, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2131 - -2?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 868 - -2?\nAnswer: 86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a9b - 4ca?\nAnswer: -a298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -408842, -817690, -1226540, -1635392?\n\"Answer: -d**2 - 408845*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*c - 157650, 30*o + 262750 = 35*o + 7*c. List the prime factors of o.\nAnswer: 2, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1632\/151 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-1\/8))\/(z*z**(-2\/9)))\/((z*z**32*z)\/z*z**(-8\/9)))**(3\/17) assuming z is positive.\nAnswer: z**(-2287\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t + 3*t - 10 - 4*t + 4*t. What is the remainder when s(5) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - 22) + (0 - (3 - (-14 + 1)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13718.84 and -0.08?\nAnswer: -1097.5072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 13. Let s be c(11). Let h = 193 - 968\/5. What is the closest to 1 in h, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*(-3 + sqrt(17) + -2 + sqrt(612)))**2.\nAnswer: -630*sqrt(17) + 7722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2.7, -2 in descending order.\nAnswer: 9, -2, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2058434.\nAnswer: 2, 7, 147031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b + 6 - 6)*(-3*b - 2*b + b + (13*b - 13*b + 20*b)*(-2 - 6 + 2)) to the form y*b**2 + t + p*b and give y.\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 8*w**2 + 6*w - 20. What is v(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38268 = 89*l - 81081. What is the highest common divisor of 745 and l?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 9*j. Suppose -19*f - 2*o = -14*f - 6, -4*o = 4*f - 12. Let y(a) = f*a + 3*a - 4*a - 2*a + 5*a. Give y(x(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4.78 times 3\nAnswer: 14.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*b + 3)*(3*b**4 - 6*b**4 + b**4) + 104*b**5 + 62*b**5 - 71*b**5.\nAnswer: 101*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -2. Let f = 39.5 + -27.2. Let q = x + f. Round q to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 - 48. Suppose -10 = -2*a - 3*a. Calculate the remainder when -1 + -3 + a + 40 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -221, 10, -2.\nAnswer: -221, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20815 and 460.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 30*x + 2*x)*(4 - 37*x - 5 + 2) as l*x + u*x**2 + y and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 44177 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -236905.8697049?\nAnswer: 236906.0697049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21411 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 3*x**2 + x - 1. Let r(u) = 1500*u**3 + 5250*u**2 - 1750*u + 1750. Give -5250*d(z) - 3*r(z).\nAnswer: 750*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -26 (c) -153 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23510591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -69803 (base 10) to base 3\nAnswer: -10112202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -21681357.7?\nAnswer: 21681356.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 117\/7, 38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -x - 2*x - 3*l, -5*l = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 61.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4684624 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 + 2*q**3 - 16*q**3)*(59*q - 59*q - 25*q**2).\nAnswer: 200*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 8181\/5, 5, -5, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/(-10) + (-21)\/(-105). Let x be ((-3)\/y)\/((-1)\/15). Sort x, 3, 1 in increasing order.\nAnswer: 1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012 + 2?\nAnswer: -12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 3. Let x(i) = 4*i - 9. Let r(d) = -6 + 4*d + 0*d - 3*d. Let l be r(9). Let o be x(l). Calculate a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**2 - 84*f - 45.\nAnswer: -3*(f + 5)*(5*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283150 minus -5?\nAnswer: 1283155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) -4 (c) 0.5 (d) 6581\/239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451866873 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/801633 and 85\/1294.\nAnswer: 1603266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**2 + 23*c**2 + 28*c**2 + 19*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 6*m**2 - 4*m + 7. What is the remainder when 20 is divided by a(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*a - 95*a - 15500. Let y be a*(-4)\/(-8)*-1. What is y rounded to the nearest one hundred?\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 431857*q**2 - 431852*q**2 + 3 - 3. Let t(a) = -112*a**2. Calculate z(t(x)).\nAnswer: 62720*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 9*w**2 - 13*w - 36. Let p be b(-8). Solve 2*z - 4 = 0, -6*x = -x + p*z - 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, 121, 4 in descending order.\nAnswer: 121, 9, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 31 = -37*p. Sort -22, 3\/8, p, 0.9 in decreasing order.\nAnswer: p, 0.9, 3\/8, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 - 4*t + 3. Suppose 2*u = 5*d - 49, u + 2*d + 3 = -8. Let s = u - -34. What is the remainder when m(4) is divided by s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*u - 5*a, u + u + 3*a = 50. Let j(f) be the first derivative of 5\/6*f**6 - f**5 + 20*f**2 + u - 25\/4*f**4 + 20*f + 5\/3*f**3. Factor j(r).\nAnswer: 5*(r - 2)**2*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 3*t - 8. What is the remainder when g(-11) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1320*q + 2559. What are the prime factors of z(14)?\nAnswer: 3, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(-1\/4)*f*f*f*(f**(-2\/5)\/f)\/f)\/(f\/f**3)**(2\/7))**(-1\/4))**17 assuming f is positive.\nAnswer: f**(-8143\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/42)\/((-14)\/(-14)*3\/36).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137*i**5 + i - 123 wrt i?\nAnswer: 2740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c**(11\/3)*c)*c)\/c**(-3\/4))\/(c\/(c\/(c**(2\/3)*c))*c**(-5\/3)))**(-15) assuming c is positive.\nAnswer: c**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 341*o + 7136. Let w be d(-21). Put -4, -1\/3, 2\/9, w in descending order.\nAnswer: 2\/9, -1\/3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148115 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*h - 81, h + 55 + 230 = 3*s. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 3 - -17 - 26) + 2 + -3 + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 + 36. Suppose -3*r = -m - 71. Suppose 4*l - r = 122. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 12*q + 18. Let m be i(3). Let t(v) = 11*v**3 - 9*v**2 - 9*v + 5. Let j(x) = 5*x**3 - 4*x**2 - 4*x + 2. Give m*j(k) + 4*t(k).\nAnswer: -k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081919452 to the power of 1\/3, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-46)\/(-18))\/(6\/18). Which is smaller: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 32 = -5*h, 2145*b - 352 = -85*h + 2141*b for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 122*b**2 + 26*b - 10 + 7 - 28*b. Let y be m(-1). Let f = y - 1572\/13. Is 1\/2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 189 and 433881?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = 5*x + 92. Let i = 172 - 148. Calculate the highest common factor of x and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -3. What are the prime factors of ((-6)\/d)\/(21\/(-112))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 - 16994*z - 1363392 = 0. Calculate z.\nAnswer: -8416, -81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -196503\/4 - -56003077\/1140. Calculate the common denominator of t and 137\/18.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -221*x - 33. Let h(t) = 446*t + 59. Determine 3*h(n) + 5*l(n).\nAnswer: 233*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -112348*j + 55. Is l(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 490 - 250. Is m a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - 27 - (33 - 15)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = -0*l. Let v(g) = 5*g**2 - 28*g + 2 - g**3 + 2*g**2 + 18*g. Let h be v(5). Solve -5 = -h*r - l*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 6 - 26, 278 = x - 4*z. Calculate the remainder when x is divided by 58.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 20 = -16, 21 = 5*f + 3*d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -27. Let g be -6 - -2 - 2\/(-2). Let v = u + g. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 19*a**2. Let n(q) = 7*q + 6. Let i(s) = s + 1. Let t(j) = 6*i(j) - n(j). What is t(c(w))?\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 384709 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -21*w**2 - 58*w - 55. Give u(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**7)**(-1\/48) assuming z is positive.\nAnswer: z**(-7\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -0.4, 11, 28, -19?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -517 = -25*k - 22*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -13. Which is the fourth smallest value? (a) -0.2 (b) 2 (c) 4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 7*o + o)*(4 - 4 + o**2) - 3*o**3 - 5*o**3 + 2*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 349*r - 3130. Calculate the least common multiple of 655 and c(9).\nAnswer: 7205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*j = 26, -154 = -5*q - 4*j - 107. Sort -1, -5, 1, q in descending order.\nAnswer: q, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-4)*4)\/((-1894)\/(-3788))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138564102 by 2.\nAnswer: -69282051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30016 divided by -7.\nAnswer: -4288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16094 by -3.\nAnswer: 16094\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -39.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 73180517782 + -0.61?\nAnswer: 73180517781.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*16 - (44 - 37). Suppose u*f + 6534 = -24*f. Are f and -200 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 1\/3 (c) 659 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 7689171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -86986*d + 86288*d = -37692 for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*n + 823 + 23 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*j + 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 3*s - 3. Let w be d(1). Let u(n) = -2 + 4 + 8*n**3 + w - n**3. Let m(q) = -3*q**3 - 12*q**3 - 15*q**3 - 10 + 8*q**3. What is 3*m(z) + 10*u(z)?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-4*1 - sqrt(136))\/(sqrt(8) + -4*sqrt(512) + sqrt(8) - sqrt(8)))**2.\nAnswer: 425\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c = -2*k + 134020, 4*c + 16 = 0. Round k to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)\/sqrt(36).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010101011001 + 110000?\nAnswer: -100010100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231 (base 5) to base 8.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-2\/11)\/(z**(-2\/23)*z**7*z))\/((z**(-1))**(5\/6))**(-38) assuming z is positive.\nAnswer: z**(-29903\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*a**2*s**3 + 3*a**2*s**2 - 16*a**2 + 2*a*s + 3*s**3 wrt s?\nAnswer: 282*a**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201133311231 + 12?\nAnswer: 201133311303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/9636 (b) 0.068 (c) 0.3 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d6 - -7b8?\nAnswer: 88e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 88 (b) 3 (c) 0.02 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (130\/(-20))\/(11\/(-160226)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2510 bigger than 2826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(3\/22)\/p))\/p)\/p**(-2\/7) assuming p is positive.\nAnswer: p**(177\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 7:16 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.13. Let u = -0.03 - r. Let q(n) = n**3 + 5*n**2 + 4*n - 3. Let c be q(-4). What is the closest to u in 5, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3\/15*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -250568301\/5 <= -50113659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 u when three letters picked without replacement from pvkhouvpvhkpoph.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1014169 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 646\/(-4)*14016\/66576.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13034223 divided by 19839?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 8106 + 16196 - 8350.\nAnswer: p - 260","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.69 + -0.06. Let m = l - 0.23. What is m rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 71.7, 2, 0.0839 in ascending order.\nAnswer: -29, 0.0839, 2, 71.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/10)\/(6\/8). What is the closest to -1 in -0.2, 0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -4, -8, -12?\n\"Answer: -4*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -3\/110*j**5 + 0*j**3 - 2\/33*j**4 + j + 52 + 1\/165*j**6 + 0*j**2. Factor q(g).\nAnswer: 2*g**2*(g - 4)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * -10.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:18 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2302*d**2 + 32*d + 31*d - 97*d + 35*d + 3.\nAnswer: 2302*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (15824\/(-460))\/(-43)*(-25)\/(-80)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11842540, -11842550, -11842560, -11842570, -11842580?\n\"Answer: -10*v - 11842530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32098519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284*((-3)\/(-1) + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26789989?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012313 minus -29257309?\nAnswer: 29257309.012313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4972950 and 1350.\nAnswer: 14918850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/35696 and 145\/74496?\nAnswer: 1713408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**2\/5 + 19446*s\/5 - 19448\/5 = 0?\nAnswer: -9724, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2 + 5*f**3 - 5 - 10 + 9*f - 7*f**2 + 8. Let k(q) = -14*q**3 + 21*q**2 - 28*q + 28. Let s(w) = -4*k(w) - 11*z(w). Is 4 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**4*z**2 - 157750*m**2*z**2 - 112517*z**2 wrt m.\nAnswer: -8*m**3*z**2 - 315500*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**6)\/v)\/(v*v**(2\/21)))\/(v*v**(-2\/11)*v**(1\/10)) assuming v is positive.\nAnswer: v**(9209\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53478287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1105132 (base 7) to base 10.\nAnswer: -136243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26\/3, -0.5, -3\/7?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3\/4, -3, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180992 and 304.\nAnswer: 3438848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2. Let r = 281 + -287. Let v(q) = -q + 7. Give r*v(u) - 21*w(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:37 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -7. Suppose r = -y*b + 39, 59 = 3*b + r + r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21501946 or -21501947?\nAnswer: -21501946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/2, 8, 2, -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 68 = -5*i + 40, 0 = -4*a - 2*i + 414. What is the remainder when a is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22121 - 1?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*((0 + 1 + 1)*(-4*q - q + 2*q) + (-2*q - 3 + 3)*(2 - 3 - 1) + q - q - q - 559*q + 5506 - 5506).\nAnswer: -1124*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/12)\/((5\/9)\/(-5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 611 + -611. Which is the closest to 0.1? (a) 0.5 (b) f (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252112 and 236355?\nAnswer: 3781680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y**3 + 5 - 2*y + 17*y**3 + 0*y - y + 5*y**2. Suppose 9*k + 9 = -36. Calculate b(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*r - 684. Suppose 0*o = 2*o + 8, r = 3*a + 3*o. Suppose 0 = -6*g + 2*g + a. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {v: 3, q: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/264 and -111\/248380?\nAnswer: 1490280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -166*a + 1. Let q(z) = 1474*z - 8. Determine -52*n(w) - 6*q(w).\nAnswer: -212*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3345*f - 6695*f + 3340*f)*(4*f**2 - 5*f**2 + 4*f**2).\nAnswer: -30*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l + 10. Suppose 13*m - 42 = 6*m. Suppose j = m - l. Solve -j = -2*z + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*p = 59 + 28, 2*p = -3*o + 74. Which is greater: 31 or o?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 1963.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758478 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 13*r**2 + 15*r - 12. Let s be m(14). Suppose x + p + 4 = 3*p, s*x - 2*p + 4 = 0. Solve 16 = -x*o - 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (43 - 21) - -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6419713549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92120730.\nAnswer: 2, 3, 5, 13, 236207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45.2 - -0.064.\nAnswer: 45.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813452.\nAnswer: 2, 203363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 21. Find the first derivative of -2*w**4 + z - 10 + 11 wrt w.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29928434555\/7044 - 4248784. Find the common denominator of -33\/4 and k.\nAnswer: 7044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56 (base 8) to base 2.\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -315669134.622710561 + 315669135. Let y = v + 34.622702361. Let k = y + -35. Round k to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**3 - 9*v**2 - v - 4. Let g(y) = 12*y**3 + 11*y**2 + 2*y + 5. Calculate -5*d(f) - 4*g(f).\nAnswer: 22*f**3 + f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 64*g**2 + 368*g - 345. What are the prime factors of z(-75)?\nAnswer: 2, 3, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxwewqg. What is prob of sequence gwxe?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u + 30*u + 27*u)*(-6*u + 4*u - u - 6*u**3).\nAnswer: -414*u**4 - 207*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 448 and 4?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 10:51 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*c**5\/5 - 143873*c**4\/5 + 2297786*c**3\/5 - 9245408*c**2\/5 + 71808*c = 0. What is c?\nAnswer: 0, 2\/51, 8, 2805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 6*c + 15. Let q be r(7). Suppose t = -4*f + q, 3*t + 6 = -f + 4*f. Suppose p - 1178 = -f*v - v, -4 = 4*p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 7*h = -18*w + 174, h = 4*w - 38 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - -11. Let q = d + -47.00000069. Round q to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -31. Let i = -15.9 + l. Let n = -0.11 + 0.31. Which is the second smallest value? (a) i (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*w = -3*w + 6, -7 = -2*c + 3*w. Suppose 0 = -3*t + 4*g - 8 - 2, 20 = 2*t + 4*g. Solve t*z + c*i = z + 9, -5*i = -10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k**2 + k - 1. Let n be j(4). Suppose -10893 = -5*d + 4*s, n*d - s = 2*d + 2178. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 3337\/2279 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/5236 and 99\/3332.\nAnswer: 36652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 - 36. Let q(o) = 3*o - 3. Suppose 3*p - 35 = -5*x, 3*x - 3*p = x - 7. Let t be q(x). What is the greatest common divisor of z and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(3\/4)*h*h))\/h**(-22\/5)*h**(-3)*h*h**(-1\/14) assuming h is positive.\nAnswer: h**(-59\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25959*u*x**5 + 17*u*x + 937*u + 2*x**4 - x wrt x.\nAnswer: -519180*u*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b1bc7 (base 14) to base 6\nAnswer: 13055511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = 0, -2*s + 2*p = 12. Let i = s - -8. Calculate the lowest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -726*u**3 - 2*u**2 + 7*u + 10 wrt u?\nAnswer: -4356*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 104950289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -458*o. Let s(b) = 2*b. What is s(n(t))?\nAnswer: -916*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015065543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643357519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5935 is divided by 268.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023369 divided by -4?\nAnswer: -1023369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 112451128842.\nAnswer: -112451128841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t**2 + 23*t - 3. Let l(j) = 29*j**2 - 68*j + 9. Calculate -17*c(y) - 6*l(y).\nAnswer: -4*y**2 + 17*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 2*t)*(-4 + 18 + 13)*(-2 + 0 + 1).\nAnswer: -54*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m = -5*m - 990. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*m - 1 + m - 5*m)*(-3*m - m + 2*m) in the form k + v*m + a*m**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aguccjjcgj. Give prob of picking 1 c, 1 g, and 1 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 3*f**2 + 8*f - 20. Calculate x(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*f - 7. Suppose -4*v + f = -4. Suppose -v*c + 55 = 4*n - 25, 2*n - 5*c - 64 = 0. What is the remainder when n is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b = -162 - 99 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197, -6, -315, -736, -1275, -1938, -2731, -3660?\n\"Answer: -a**3 - 47*a**2 - 55*a + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 8) to base 13\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q - 4 - 28*q + 0.\nAnswer: -23*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1118847071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 14*l + 7*l)*((3 - 1 - 3)*(2*l - 3*l + 2*l) - l + 12 - 12).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*4 + sqrt(228) + (sqrt(228) - (sqrt(228) - (-5*sqrt(228)*-2 - sqrt(228)))))\/(sqrt(132)\/(1*sqrt(11)*4)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-25571)\/(-117) + (-56)\/(-126) is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 - 3*i - 12. Let s be -5 + 1 - (-4)\/(-2). Let l be c(s). Suppose -3*f + d = l*d - 95, -f = 3*d - 33. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*n = 22*n + 220. Suppose n*p + 33 = -107. Let a(y) = -6*y**2 - 11*y + 8. Let d(u) = 5*u**2 + 10*u - 7. Calculate p*d(k) - 6*a(k).\nAnswer: k**2 - 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.3. Let q(m) = -3*m**3 - 42*m**2 + m + 16. Let k be q(-14). Let t be (-2)\/30 + (-2)\/6. Which is the closest to t? (a) k (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186914 divided by 3\nAnswer: -186914\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 355, 355, 343, 313, 259, 175?\n\"Answer: -r**3 + 7*r + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 969*x - 966*x + 2*s, x - 5 = -s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 260, -717, -2938, -6415, -11160?\n\"Answer: -2*p**3 - 610*p**2 + 867*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25.031208 months?\nAnswer: 2.085934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4230000 (base 6) to base 11.\nAnswer: 130901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-783)\/58)\/((-345)\/(-184)).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j + 564 = 0, n - 660 = -j - 76. Calculate the highest common divisor of n and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -23, -12, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*q**2 - 1272240*q + 363500.\nAnswer: -5*(q + 36350)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/23*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -3\/2*i**3 + 0 + 1\/12*i**4 - i**2 + 0*i. List the prime factors of j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - q**2 + q + 3. Suppose 0*u + 4*w - 20 = 3*u, -w = -2*u - 5. Let i be p(u). Let t(x) = i + x - 8 + 5. Let m(c) = c. Calculate m(t(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 495850 divided by 214?\nAnswer: 247925\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/17438 or 1?\nAnswer: -1\/17438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*r + 105*r + 48*r + 201*r - 31*r**2.\nAnswer: -31*r**2 + 434*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/((-2)\/72))\/(45\/150). Let x = a - -231. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 15 + 23)*(-4 + 3 + 3)*(-5 + 0 + 4)*(-2 - l**3 + 2).\nAnswer: 90*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - d**2 + 2*d + 2. Let x be w(-2). Let c be (5 + 207)*x\/4. Suppose o - 2*s = -o + 36, 5*o + 3*s - c = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4 + 19. Let n = -16 + t. What is the common denominator of -37\/9 and (n\/6)\/7*137?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -7, 9, -25, -1, -12, 3 in decreasing order.\nAnswer: 9, 3, -1, -7, -12, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3541 to zero dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2644981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -310 (b) -0.1 (c) -2 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.525 months in years?\nAnswer: 16.04375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1615.5041 days?\nAnswer: 230.7863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3062, 175, 24 in ascending order.\nAnswer: 24, 175, 3062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 277*y + 1435. What is t(5)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, h: 1, k: 1, s: 4, a: 1}. Give prob of sequence pk.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:18 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 646054*i + 12920660. Give v(-20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-9)*45\/(-10). Suppose 5*j = -2*g - t, 0 = 2*j - 0*j - g - 1. Suppose n + 36 = 2*s - 23, 4*s - 3*n - 119 = j. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 18*u**5\/5 - 3*u + 26. What is the derivative of h(x) wrt x?\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 3 - (1 - 4 - 0). Suppose -151 + 166 = -b*i. Let v = 43 + -44. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0\/((1 - 13)\/6) - -4020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 83*u - 78*u. Solve 13*n - u*n - 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 59, 120, 181, 242?\n\"Answer: 61*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 - m**2 + 4*m + 7. Let l(d) = 1 - 55*d**3 + 54*d**3 - d**2 + d**2. Let a(c) = 12*l(c) - 4*z(c). Factor a(g).\nAnswer: 4*(g - 2)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 - 309?\nAnswer: -2f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778593 is divided by 244.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7*c + 3. Let o = -3 - 4. Let w(x) = -7*x - 4. Let p(d) = o*s(d) - 6*w(d). Let y(l) = l - 1. Give p(i) + 5*y(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006970925 rounded to four decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -174 + -15d9?\nAnswer: -174d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37423*v**2 + v - 9359*v**2 - 9359*v**2 - v - 9362*v**2 - 9354*v**2.\nAnswer: -11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/64 - 0*2\/10. Let w = 845\/7104 + n. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 3:06 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 1. Let u = w - 33. Let o = 59 + u. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -23 - -38 - (4 + -3 - 4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 2:20 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*t - 4 = 0, -19*l + 16*l + 3*t = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*x + 1 - 2 - 257*x.\nAnswer: -343*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 615*s**2 + 2*s + 23. Let f be t(-19). What is f rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1129598 (base 14) to base 8.\nAnswer: -37125022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 32959781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 727. Let n(a) = 12*a**2. Calculate n(i(u)).\nAnswer: 48*u**4 - 34896*u**2 + 6342348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/2 (b) 0.06 (c) 3\/8 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44.8 + -56. Let p = -9.68861 - 1.50109. Let n = y - p. Round n to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -439 less than or equal to -26964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3414 + 3502. What are the prime factors of f?\nAnswer: 2, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1*v**(-1)*v assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3591 (b) -0.0578 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - n + 9 = 0, 3*b + 0*n = n + 7. Let i = 0 - -2. Solve -b*g + 5*g = -c + 7, -2*c = -i*g - 6 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 3 + 4 + 2 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1101 + 262 = -2257*r - 1988 - 3365 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w + 5027 + 1499 = 0. Let g = -497 - w. Sort 71, g, 2.\nAnswer: 2, g, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14309, 28624, 42941, 57260?\nAnswer: 71581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 6*k - 228. Let u = 133 + k. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4121 (base 7) to base 5.\nAnswer: 21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*b**2 + 15*b - 22*b + 14*b - b**2 - b**2 + 3*b**2 + (2*b - 3*b + 3*b)*(-2*b - 2 + 2).\nAnswer: 7*b**2 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -125 in 0.3, 92, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(44) - (-1*sqrt(44) + sqrt(44))) - (-3*(sqrt(539) + 1 + sqrt(11) - sqrt(11)))**2.\nAnswer: -4857 - 124*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7 = -1. Let b(i) = -4*i**2 - 2*i**2 + 5*i**o. Let h(w) be the second derivative of -w**3\/3 - w. Determine b(h(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h - 12 = 0. Let m = -19 + 25. Let w(y) = 0 - 29*y**2 - 7*y - m + 28*y**2. Give w(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 divided by 32249.\nAnswer: -249\/32249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**3\/11 + 14917*w**2\/11 + 89565*w\/11 - 402921\/11 = 0.\nAnswer: -9, 3, 14923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p**3 - 2 + 3 + 9*p**3 + 5*p**2 - 2 to the form v + w*p**2 + l*p + r*p**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19944, -19940, -19924, -19890, -19832, -19744?\nAnswer: -19620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1051492 = -163*z + 1328328 + 1564901. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1656*w - 6622. Let d be v(4). Solve -2*n = -2*o + d, -o = -4*n + 14 - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 1, l: 1, v: 1, a: 1}. Give prob of picking 1 v and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + u)*(4*u**2 + 4*u**2 - 5*u**2) + 3*u**2 + u**3 - 28*u + 28*u.\nAnswer: 4*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -212222202110 (base 3) to base 11\nAnswer: -2a2867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2\/21 (c) 28 (d) 1 (e) -0.3 (f) -18\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85044*i**2 + 2*i - 8143.\nAnswer: 170088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q**6 + 0*q**4 - 1\/105*q**7 - 3*q**2 + 0 + 0*q**3 + 0*q + 1\/60*q**5. What is the third derivative of p(o) wrt o?\nAnswer: -48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:35 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 9*y**2 + 14*y - 8. Calculate b(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 17)*(-r - 2*r + 2*r)*(0 - 8 + 1).\nAnswer: 140*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 186\nAnswer: -6696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 - 63. Suppose 3*o - l = 134. Calculate the highest common divisor of o and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 6*v - 5. Give n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 16 (b) 1\/9 (c) -0.42 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261782 and 261284.\nAnswer: 412044868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 10*s + 628. Let d = s - 63. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 - 107. Let u be 0\/(1 + -2) + 5. Suppose u*z + 4 = a. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 4. Let j be d(-3). Suppose 2*g - j*f + 2 - 3 = 0, 0 = 4*g - 2*f - 10. Let v(u) = -u**2 + 3*u. Let z be v(g). Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648122795 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 3 - (-9 - (-20 + 5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 - 3952.\nAnswer: -3857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81744458.\nAnswer: 2, 31, 1318459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h + 11. Calculate z(14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -43\/2, -0.3, -74?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416086 is divided by 140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 11:17 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 137, 144, 151, 158?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8069, -7982, -7841, -7652, -7421, -7154?\n\"Answer: -g**3 + 33*g**2 - 5*g - 8096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 - -0.02. Let f = -0.017 - -0.317. Let o(x) = -x - 6. Let g be o(-7). Which is the closest to m? (a) f (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 - 1 + 9*z**2 - 8*z**2 + 2 + 7*z**2. Let x be 1 - (-1 - (0 + -5)). Let u(n) = n**2. Suppose -16 + 13 = -3*k. Calculate k*o(a) + x*u(a).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -n - 8643, 15*k - 2*n - 12962 = 12*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/177796 and 65\/4016.\nAnswer: 178507184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 3*t + 92 - 95, -5*h = -3*t + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.88?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 608 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163225 and 23045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-21)\/(-56)*(-2)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - (3 - -7 - (2 + -5 + 23)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355531 or 2\/7?\nAnswer: 355531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 763460450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56539.\nAnswer: 7, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + 37549244*d + 352486431242884.\nAnswer: (d + 18774622)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1304586 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173220301.\nAnswer: 173220301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 560, 1122, 1684?\nAnswer: 2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/10026 and -11\/10026.\nAnswer: 10026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9004182 + 0.83026.\nAnswer: 9004182.83026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6109910 rounded to the nearest 100000?\nAnswer: 6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**16*m)**(-7\/8)\/(((m**(-3\/22)*m*m)\/m)\/m*m**(-41)) assuming m is positive.\nAnswer: m**(2157\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -37*j + 75. What is the least common multiple of g(-15) and 390?\nAnswer: 8190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 34*l**2 - 203*l + 596. Give g(3).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 21*f + 35. Let n(l) = 10*l + 17. Let r(b) = 6*d(b) - 13*n(b). List the prime factors of r(-17).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -91576 or -91577?\nAnswer: -91576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 1234*v**2 + 3716*v + 2480.\nAnswer: -2*(v - 620)*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -5 (c) -2.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-64)\/(-6) - 4\/6. Let j = z + -7. Suppose j*f - 158 = -23. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/2 + 27*w**3\/2 - 267*w**2 + 820*w = 0. Calculate w.\nAnswer: -41, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 11\/16, 39\/7, 4 in increasing order.\nAnswer: 11\/16, 4, 39\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 501237 and 1221.\nAnswer: 18545769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 29 + 38 = 0. Let q(s) = 282*s**2 - 5*s + 4. Is q(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1097 + 1162. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466357883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16183\/1843 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-3648)*-752*6\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -529371?\nAnswer: 2\/529371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, 0.2, 0.3, -0.013?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**6\/30 + d**5\/20 + 4*d**4 - 88*d**3\/3 + 64*d**2 + 78*d + 3. Factor y(p).\nAnswer: -(p - 4)**2*(p - 1)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, a: 12}. What is prob of picking 2 f?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from nniql.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11*u**2. Let p(s) = s. Let j(h) = 8*h. Let l(r) = -j(r) + 6*p(r). Determine l(q(d)).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 + -3. Suppose -2*v + 0*o + 4 = -4*o, -5*v + y = 4*o. Let t(w) = -1 - v + 8. Let g(p) = -2*p**3 + p**2 - p - 4. Calculate -g(z) - 4*t(z).\nAnswer: 2*z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47136995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*n + 12464, 9691 + 279 = -4*n - 2*t. Let p = n + 19907\/8. What is the common denominator of -23\/6 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 1. Let n be q(10). Find the first derivative of 34*u + 22 + 17 - n*u wrt u.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 9:40 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 12. What is h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (-1 - (0 - (-5 - 6 - -8))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 58503, 58504, 58505, 58506, 58507, 58508?\nAnswer: 58509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19572973 and 4.\nAnswer: 78291892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 = -2*b + 16, 3*f = -5*b + 16. Suppose b*a = z + 40, -5*a = 2*z - 35 - 20. Solve 0*o - 3*o = a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1515 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644533 (base 8) to base 9.\nAnswer: 357408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38 + 1)\/((9 - 10)\/(-5)). Let t = k + 237. Calculate the remainder when t is divided by (-10)\/2*(-14)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(-4) + (-1)\/(-2). Let i be -2 + (-37)\/l - 3\/(-5). Factor -7*k - 14*k + 6*k**3 + i*k - k**3 + 10.\nAnswer: 5*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 116, 128, 140, 152?\n\"Answer: 12*b + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 12 = 0, -10 = 3*h - o - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 5*u**2 + u - 10. Let d be b(5). Suppose -12 = -3*a - a. Suppose 8 = m - a*m. Sort m, d, -1 in increasing order.\nAnswer: d, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 17 = g, 4*g + 6 = 6*g. Suppose 0 = -i - 4*h + z, 4*h = 4*i - h - 121. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 - -0.35. Let v = 0.66 - h. Let k = -0.04 + v. Which is the closest to 0? (a) k (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -2*b - 506, -508 = -3*v + b. Let r = v + -92. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30090 or -962861\/32?\nAnswer: -962861\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + x**2)*(-1693 - 58*x + x**2 + 1693) to b*x**3 + k*x**4 + d + o*x**2 + g*x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -151\/6 and -26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s**2 - 105*s - 109. Let y(k) = -3*k**2 + 21*k + 22. Let p(l) = 2*v(l) + 11*y(l). Let c be p(22). Solve -c*r + 5*r = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**3 + 3*r**3 + 3*r**3 + 2*r**3 + r**3 - r**3 - 4*r**3 + 3*r**3 + 2*r**3 + (-83*r**2 - 1523529 + 1523529)*(0*r - 2*r + 4*r).\nAnswer: -162*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 295313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 17*r**2 + 16*r - 2. Calculate the remainder when i(7) is divided by 241.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 4*x**2 + x + 2. Let d be z(2). Is d\/(-22) + 625\/11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/3 - (-24)\/(-22). Let z = 9539\/2684 + -135\/61. Let m = r + z. Which is the second smallest value? (a) 5 (b) m (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29557891, -29557897, -29557905, -29557915, -29557927, -29557941, -29557957?\nAnswer: -29557975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48*((-6)\/24)\/((-6)\/8). Let x*r + 96 + 2\/3*r**2 = 0. Calculate r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 171 = -4*a + 3*v, a - 173 = v. What are the prime factors of a?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-3)*o\/o**(-3\/5)*((o*o**(-1\/4))\/o)\/o*o**(-8) assuming o is positive.\nAnswer: o**(-193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 11*c**2 - 4850*c + 9234. Determine l(439).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2260 + -1253. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**4 + 29*w**4 + 19*w**4 - 2*w**4 + 3*w**4 - 2*w**4 + 0 + 0 - w**4 + (w**2 - w + w)*(2*w**2 - 2*w**2 + 2*w**2) + 0*w + 0*w + w**4.\nAnswer: 55*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/18 + 124*f**3\/9 - 3844*f**2\/3 + 2*f + 40. Find s, given that p(s) = 0.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**2 + 15*l - 11. Let f(k) = -k**2 - k + 1. Let i(c) = -3*f(c) - v(c). Suppose 8 = b + 3*t, -4*b - 11*t = -7*t + 24. Determine i(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 3.89. Let s = -328.5 + 328. What is the smallest value in 2\/3, s, y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1902*s**3 - 1 + 1 + 1879*s**3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 8*t - 14. Let x(l) = -l**3 + 65*l**2 - 64*l + 8. Let v be x(64). What is i(v)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.4489 and -7539320.\nAnswer: -7539317.5511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*i**2 - 8\/7*i + 2\/7*i**3 + 1\/7*i**4 + 0 = 0. Calculate i.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1 + 0*x**2 - 7*x**2 + 8*x**3 + 8*x**2. What is d(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 + 22 = -12*r. Let h(m) = 2*m**2 + 8*m + 9. Let f be h(-6). Calculate the greatest common factor of r and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02158 times -0.007\nAnswer: -0.00015106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j + 42. Give o(-16).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 121163?\nAnswer: -8\/121163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264 times 0.274?\nAnswer: 620.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 8:42 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 67, 132, 197, 262?\n\"Answer: 65*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 6)*(3*w - 5*w + 3*w) + (-4*w - w + 4*w)*(6 - 2 - 3).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/152 + (39\/12)\/13.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*j = -0*a + 4, 4*a - 4*j - 36 = 0. What is the remainder when 39 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165928 and 139.\nAnswer: 23063992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -8*o + 3*o. Let s = -3 + o. What is the remainder when 116 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2. Let j be 6 + (-19)\/((-95)\/(-30)). Let c(r) be the third derivative of 0*r**3 + 0 + 0*r + j*r**4 + 11\/60*r**5 - 5*r**2. Calculate k(c(m)).\nAnswer: 121*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -361488 and -3976380\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 520 * 6.89492\nAnswer: 3585.3584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 77.89416 times -2\nAnswer: -155.78832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -168.\nAnswer: -1\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 225*x + 220.\nAnswer: 5*(x - 44)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1.1, 296.8 in ascending order.\nAnswer: 1.1, 4, 296.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 4, 0 in increasing order.\nAnswer: 0, 4, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 509880 - 509822 = -10*q - 10*q, -10 = -3*q - 2*y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -24. Let u(h) be the first derivative of 1\/5*h**p + 1\/3*h**3 + 0*h**2 - 1\/2*h**4 + 0*h - 2. Factor u(t).\nAnswer: t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 3*b**2 - 3*b - 5. Let v be h(-7). Suppose v = 2*p - 450. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 - 284 + 5 + 150 - 4*d - 266.\nAnswer: -4*d - 648","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/(-1*279\/124)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63971*u**3 - 59121*u**3 + 18 + 123090*u**3.\nAnswer: -2*u**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.71 - 4.01. Let y = -12.2 - -12. Which is the second smallest value? (a) v (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -75?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*x**2 - 18*x**2 - x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -2\/7 (c) -0.08 (d) 13 (e) 2 (f) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 4:08 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-33) + 3 - 86\/110.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20792 and 1012.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 3*d - 3. Let t(p) be the second derivative of p**5\/10 + 2*p**3\/3 - 2*p**2 - p. Let o(f) = -3*t(f) + 4*w(f). What is v in o(v) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9\/5 (b) 0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9469674 by -6.\nAnswer: 1578279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2552, -4703, -6854, -9005?\nAnswer: -11156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yayuaoyoyuaa. What is prob of sequence auao?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -394 - -841. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + (86 - 20) + -1 + 1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -38. Let h = 30 - s. Solve -2*c + 7*c + h = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3236298 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - 4*w - 1. Let n be j(-3). Let x be n\/(-2) + 0 + 0. What are the prime factors of 5 - -1*1\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t**2 + 17*t + 3. Let h(o) = 18*o**2 + 19*o + 4. Let y(l) = -5*g(l) + 4*h(l). Let z(s) = 3*s**2 + 10*s - 1. Calculate -4*y(p) - 3*z(p).\nAnswer: 3*p**2 + 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2 - 3*(-4)\/12. Solve -5*x = z - 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620814?\nAnswer: 2, 3, 107, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2. Let u(o) = -8*o. What is c(u(p))?\nAnswer: -256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -6*d + 266. Which is greater: 33 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (205 + 283*n - 205 + 140*n - 39*n)*(8*n + 1 - 7*n - 3*n) in the form y*n + d*n**2 + p and give y.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**4 + 28*a**3 + 3*a**2 + 6914?\nAnswer: -12*a**3 + 84*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 0, 4*x - 2*s - 12 = 3*s. Let t(a) be the first derivative of 0*a**3 - 4 - 3*a + 5*a - a**x. What is the first derivative of t(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 3\/7, 1, -2\/33, -2 in increasing order.\nAnswer: -2, -2\/33, 2\/5, 3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + p)*(2 - 2 - 2) + 0*p - 3*p + 7*p - 1.\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14024624 and 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -51.7, 0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 1 + 1)*(-60*z + 16*z + 136*z) - 3*z**2 + 77*z + 4*z**2 - 76*z + 3.\nAnswer: -183*z**2 + z + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:01 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**22*z\/(z*(z**(-3\/7)*z)\/z)*(z*z**(-2\/13))\/z**(1\/3) assuming z is positive.\nAnswer: z**(6263\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 - n + 5. Let w be g(8). Let d = 3 + w. Suppose d = q - 5 - 0. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/243 - (31176\/(-126))\/((-378)\/49)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**4 - 26*n + n**4 - 51*n**3 + 19*n + 3*n**2 + 2*n + 0*n**2 to the form w + s*n**2 + p*n + o*n**4 + a*n**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4419.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/87661 and -69\/56?\nAnswer: 701288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1452)*1 - sqrt(1452))\/(sqrt(6)*-2*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57279888.\nAnswer: 2, 3, 73, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10942 is divided by 1360?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m**2 - 54*m + 5. Let k be o(-6). Let h be (2 - -1)\/(((-45)\/(-12))\/k). Solve -4*r = h*z - 16, -2*r + 5*r - 15 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**2*p**4 - k**2 + k*p**5 + 4*k*p**2 - 9*p**4 wrt p.\nAnswer: -96*k**2*p + 60*k*p**2 - 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -216, -5, 4, 44 in increasing order.\nAnswer: -216, -5, -3, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, -2, -145 in ascending order.\nAnswer: -145, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 - 36. What is the smallest value in 0.4, 0.1, y, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 23*o + 56. Let l(d) = -8*d - 18. Calculate 6*b(y) + 17*l(y).\nAnswer: 2*y + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q. Suppose 0 = -2*g + 16 + 6. Let m(s) = 23*s - g*s - 11*s. Give m(v(k)).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:09 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/290 + -8\/29. Let a be 2 - (4 + -2 + (-9)\/(-12)). What is the nearest to d in -2, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -14*i**2 + 594*i + 135. Let w(a) = -22*a**2 + 891*a + 204. Let d(o) = -7*l(o) + 5*w(o). Factor d(k).\nAnswer: -3*(k - 25)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7bc6 (base 16) to base 7\nAnswer: -161244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 414196*q - 7456176.\nAnswer: 2*(q - 207116)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose 2*d - 65 = -3*d + y*m, 2*d + 4*m = 14. What is the remainder when d is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1439 divided by 55089?\nAnswer: -1439\/55089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1654e7 - 1?\nAnswer: -1654e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 + -0.52. Let q = -0.6 - g. Let k = q + 0.3. Which is the closest to k? (a) -3 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 78666852.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 5, 11, 19?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/75*4\/((-48)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 9:36 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 111041 (base 6) to base 16\nAnswer: 2461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34599 - -2.06.\nAnswer: -34596.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 3:28 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*j + 7 - 6, -2*r + 11 = -j. Solve 0 = a - 5 + r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736)*-3 + -5 - ((0 + sqrt(2736)*3 + sqrt(2736) - sqrt(2736)) + sqrt(2736)).\nAnswer: -84*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1317628?\nAnswer: 2, 13, 25339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**4 + 178*n**3 - 142*n + 139435 wrt n.\nAnswer: -4*n**3 + 534*n**2 - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + o + 1034. Let y be q(0). Suppose j + 5*h + 2089 = -j, j + y = h. Let z = j + 2135\/2. Find the common denominator of -38 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40441 (base 6) to base 11.\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, c: 7}. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/65 - 6\/13. Suppose 8*y = 4*y + 4. Let n = 0 - y. What is the closest to j in 0.5, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {k: 1, r: 2, l: 2, u: 2, w: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4872.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 12:43 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 1407, 4, 1, 3 in decreasing order.\nAnswer: 1407, 4, 3, 1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 220 = 37*c. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 265 + 5028360?\nAnswer: 5028635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 0.06 (c) -0.4 (d) -26\/5 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 u, and 2 n when four letters picked without replacement from nueunnuuneeenejueue.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(17) + 1)**2 + 1 + sqrt(17) + 1 + (5 + sqrt(85)\/(sqrt(5) + 1*sqrt(5)))**2 + 4 + (1 + sqrt(272))**2 + -1 + sqrt(1377) + 1.\nAnswer: 27*sqrt(17) + 1317\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -131. Let w be ((-2)\/5)\/((11\/(-20))\/(-11)). Let t = d + w. What is the least common multiple of 3 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 1219*m**2 + 11*m - 39. What is the hundreds digit of y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 9194263?\nAnswer: 27582789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -18 - (3 + -8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g + 10*g - 3*g)*(-23*g - 25 + 11*g + 15*g) in the form c + k*g**2 + r*g and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 6:40 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(2*n - 2*n + 4*n)*(1 - 3 + 9).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 10 = 0, 15 + 69 = 3*l - 3*y. Suppose 766 = 4*p - 3*b, -3*p + 758*b - 762*b + 512 = 0. Calculate the greatest common factor of p and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4\/5, 0, 7, -5 in descending order.\nAnswer: 8, 7, 0, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 49326028313 + -21\nAnswer: 49326028292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -13*c**2 + 4*c - 3444. Let f(m) = -10*m**2 + 3*m - 3446. Determine 4*f(l) - 3*u(l).\nAnswer: -l**2 - 3452","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16055 is divided by 101?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 44 - -44) + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 3*p**3 - 2*p**3)*(6*p**2 - p**2 - 4*p**2) + 557*p**5 + 557*p**5 - 1161*p**5.\nAnswer: -45*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1432 + 2675. Suppose -i = -2*w + 1393. Let p be 2 + (w - (-3 - -3)). What is p rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(-1 + sqrt(108)) + sqrt(33)\/(sqrt(11) - -1*(sqrt(11) + sqrt(44))).\nAnswer: 1 + 49*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 15. Suppose u - v = 3*u. Calculate the remainder when 55 is divided by u + (1 + -2)*-23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5822.671 litres?\nAnswer: 5822671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - sqrt(15))*-3 + sqrt(15))\/sqrt(1280).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -250580 divided by -1870\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + sqrt(36) + (-1*sqrt(360) - sqrt(360))\/sqrt(10))\/(4*sqrt(192)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 765*t**3 + 5*t**2 - 4*t + 2428. Let v(d) = d**3 - d**2 + d + 1. Let c(i) = u(i) + 4*v(i). What is the first derivative of c(l) wrt l?\nAnswer: 2307*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3460.\nAnswer: -3460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 12*f**2 - 9*f. Let z be d(11). Does 12 divide -7*(-11)\/(z\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57502 times 5\nAnswer: -287510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/10 and -73\/9045?\nAnswer: 18090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -18. Let b be 0 - k\/((-8)\/4). Let f(i) = -13 + 13 - b*i + 4*i. Let m(n) = 7*n. Determine m(f(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 - 4*g + 142. Let r(n) = 23*n. Give z(r(s)).\nAnswer: -2116*s**2 - 92*s + 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/66 and -1\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2394896.49 and 4.\nAnswer: -2394892.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.446751nm to kilometers.\nAnswer: 0.000000000006446751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -1 (c) 3 (d) -2\/7 (e) -92155\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.21607 rounded to 2 dps?\nAnswer: -7.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - ((-33 - -12) + 16 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 a factor of 738622137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3462\/4*(15041 + 1). Suppose 0 = 3*p - 0*p - 6. Suppose -4*h = 4*f - 19199988, p*f = -4*h + 6181143 + i. What is h rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1101*z - 2*z**2 - 2394*z + 2235*z to the form a*z + c + v*z**2 and give a.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + 33\/(-3))*-1. Let g = -2 + y. Solve 5*s = 4*x + 12, s + 9 = g*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 3 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 355469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:11 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + a - a)*(76*a**3 - 3*a**3 + 156*a**3).\nAnswer: -458*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4ca + -74?\nAnswer: -53e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149 (base 10) to base 4.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(2) - sqrt(15))*3)\/(sqrt(48)\/sqrt(4))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*r = -83*r - 278*r - 2392 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -21*j - 38. Let k be a(-2). Solve x = -k - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 2 + 3 + 7*b + 4*b**2 - 5*b**2. Let g be a(-7). Let j(s) = 7*s**3 + 2*s**2 - 2*s + 1. Give j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/((-2)\/36*-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-164)\/14)\/(20\/(-70)). Calculate the greatest common factor of 205 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-21)*-14 + (-325)\/35?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12931741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cd35c (base 14) to base 16.\nAnswer: fcb96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p - n, 0*n - n = 2*p - 10. Suppose -p*b + 49*b = 276. Is b > -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-1) - 4\/(-4). Suppose -s*z - 5*x - 31 = 0, 4*z + 23 + 4 = -3*x. Let r be (-4)\/z*(-1)\/4. Which is the smallest value? (a) 0 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(171)*-2*-5 + ((sqrt(171) - 2*sqrt(171)) + sqrt(171) + -5 - sqrt(171)))*3)**2*6.\nAnswer: -34992*sqrt(19) + 2993760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105483751*g**2*y**2 + 4*g*y**2 + g*y - 18471*y**2 - 165*y wrt g?\nAnswer: 210967502*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1681*o**4 + 2654 wrt o.\nAnswer: 6724*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 7:28 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a + 17. Let c(n) = -19*n + 75. Calculate c(o) - 2*r(o).\nAnswer: -21*o + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 70*i**2 + 49*i - 575. Does 130 divide l(71)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2795137 * 0.3\nAnswer: -838541.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*a + 16, 4*v + 7*a - 3*a + 16 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from {i: 10, l: 5, c: 4}?\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*p - 42 + 242 = -4*t + 142*p, 0 = -2*p - 10 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**3 - 4*u**3 - 2*u**3)*(-1 + 33 - 7)*(-4 + 1 + 1).\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 218\/8 + ((-1537)\/116 - -13). Suppose q + 4*q = 15. Solve -q*t + v = 5*m - 5*t, -2*m - 2*t + 8 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from pgvgvp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let t(b) = -2*b + 1. Let d(v) = -6*i(v) - t(v). Suppose 2*w = -3*w + 20. Calculate d(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -39*s**2. Let a(f) = 6*f**2. Determine a(n(o)).\nAnswer: 9126*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:13 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a day in hours?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(171) - (sqrt(171) + -2 + sqrt(171))) + sqrt(171))**2 - sqrt(171)) + (2*(1*sqrt(76))\/sqrt(4))**2.\nAnswer: -3*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478892 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {u: 1, f: 4, q: 4, c: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -334b9 + -2?\nAnswer: -334bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0766116 millennia in decades?\nAnswer: 7.66116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = -82*b + 1641 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 35*h - 45. What is the tens digit of y(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1))**2*(h**(-5)*h)\/(h**(-4)*h) assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6554142.\nAnswer: 2, 3, 7, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 = -3*x - 16, -2*x + 2 = 0. Let u = k - -18. Calculate the greatest common divisor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0153 and 123469944.\nAnswer: 123469944.0153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**8\/(c\/(c\/c**(-4\/9)))*(c**(-2\/15)\/c)\/((c**(-1)\/c)\/c)*c\/(c*c**(2\/15)\/c)*c*c**(-1\/2)*c\/(c**(-2\/11)*c)*c\/(c**(-1\/7)*c) assuming c is positive.\nAnswer: c**(83177\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192\/13 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -37 - 12 - 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7*c**2 - 9 - 9 + 18.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 45 = h. Let u = 19 - h. Suppose 24 = -u*z + 5*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30888 or -30882?\nAnswer: -30882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4508 is divided by 2243.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**6\/2 - 7*k**3\/3 + 3. Find the third derivative of a(x) wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*u = -53, -3*s = 2*s + 2*u + 62. Let c be 12\/(-2)*6\/s. Let -2*g**2 - c*g + 0*g**2 - g**3 + 2*g = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 32. Solve 3*n + l = 5*l - 10, -h = 2*n - l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + h - 1. Let v(j) be the third derivative of 0 + 0*j + 5\/6*j**3 - 1\/120*j**6 + 1\/12*j**5 - 5\/24*j**4 + 11*j**2. Give -5*c(q) - v(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8 and ((-627)\/77)\/((-24)\/21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 6*l**2 + l + 3. Let a be t(-6). Let d be (-4)\/(((-8)\/(-10))\/(-2)). Let y = d + a. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 768.1, -3, -1\/95, 0, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45318?\nAnswer: 2, 3, 7, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/((1 - -1) + -1). Let z = n + -3. Suppose -7*j + 2*j = -z*d - 142, -3*j - 4*d = -98. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.19 and -457.\nAnswer: -457.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*s - 494*s - 1845*s = -22304 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*m - 152 = 3*d, 2*d + 124 = 3*m. Let l = d - -479\/7. What is the biggest value in l, -1\/11, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20914 + 20913. Sort 0.2, 1\/6, -0.4, -2, l.\nAnswer: -2, l, -0.4, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b + 1316. Give t(-47).\nAnswer: 987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/120 - k**5\/60 - k**3\/6 - k**2. Let o be f(-2). Solve 0 = -v - 2*v - x + 13, -5 = -o*v + x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 19*z - 7. Let u(h) = -1. Let l(r) = 13*r - 3. Let s(d) = -l(d) - 2*u(d). Let p(c) = 5*a(c) + 7*s(c). Let t(v) = 3*v. Determine p(t(k)).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 10:32 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*(sqrt(612) + sqrt(612) + -2) + sqrt(272)*4 + (5 + sqrt(34)\/sqrt(2) - sqrt(17)))**2 + -3.\nAnswer: -1232*sqrt(17) + 131694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27785733 divided by 1462407?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghhw when four letters picked without replacement from egejgjehwjnjghh.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29015?\nAnswer: 5, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 47*t**8\/336 + 13*t**5\/60 + 163*t**4\/8 - t**3\/2 + 1140*t**2. Find the second derivative of l(v) wrt v.\nAnswer: 940*v**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 709894 + 533?\nAnswer: 710427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/36*3861\/(-693)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3976816797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2567\/2 + -3806\/3. Let b = 1204 + -9661\/8. Calculate the common denominator of b and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)*u)\/(u\/u**(-2\/5)))**47*(u\/(u*u*u**(-2\/5))*u)**(-1\/40)*(u**(2\/5))**(2\/61) assuming u is positive.\nAnswer: u**(-172001\/6100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25082332 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -1 + 0*t**2 + 9*t**2 + 2 + t**2 - t. Determine b(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, m: 1, b: 2, y: 6, q: 1}. Give prob of picking 1 u, 1 y, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -15 + 16 - (-1 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/23 + 120\/161. Let a = -225 + 315. Suppose -z = -a + 89. What is the second biggest value in z, 0.2, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101000101 - 1100110101000?\nAnswer: -10011011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f + 5*x - 65, 4*x = -f + 22. Suppose 0 = 5*l + 2*b - f, -4*l - 8 + 16 = 4*b. Solve 2*t - 8 = -l*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5aa5 - -9342?\nAnswer: 13227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 320 or 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(0*l + l + 2*l) - 1211*l - 265*l - 1908*l as t*l + a and give t.\nAnswer: -3381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 7:27 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 19. Let s be q(5). What are the prime factors of (2 - (1 + s)) + 1035\/15?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/11)\/p)\/p)\/p*p*p**(-2\/13)*p**(8\/7)\/p**(5\/2) assuming p is positive.\nAnswer: p**(-6847\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(-1)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - -138. Suppose 5*u - 99 = q. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*j = 21, -j = -2*c - 3*j + 12. Suppose 0 = -3*p - c + 7. Find the third derivative of 3*r**p + r**6 + 5*r**6 - 3*r**6 wrt r.\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(-2*(sqrt(98) + 2*sqrt(98)) + (-2*(sqrt(98)*-2)**2 - sqrt(98))) - (((1 + sqrt(98))*4)**2 + sqrt(98) + -3 + 0 + sqrt(98))).\nAnswer: 3192*sqrt(2) + 37710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.108 + 2.178. Which is smaller: -33 or o?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1399*o**3 - 762*o**3 + 1743*o**3 + 1 + 2*o in the form m*o**2 + c*o**3 + k + p*o and give c.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 11484 + 3126*u**2 + 5962*u**2 + 660*u**4 + 49800*u + 16*u**5 + 4368*u**4 - 24216*u**3 = 0.\nAnswer: -319, -1, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 + 528*u**4 + 46284*u**3 - 1582*u**2 - 137805*u + 92574 = 0. Calculate u.\nAnswer: -417, -111, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - u - 656. What is the remainder when r(-32) is divided by 86?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 0.585. Let z = 960.985 - 961. Let x = y - z. What is the closest to 1 in x, -8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3581457 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 32*w - 149. Let g be q(-27). What are the prime factors of (-31)\/((g\/7)\/58)?\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 16*x - 14 = -h, -2*x + 4 = 0. Solve l = h*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 12. Let q be g(10). Suppose 0 = q*k - 4*c - 4, 3*k - 3*c + c = 14. Calculate the remainder when ((-27)\/k)\/9 - 230\/(-4) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -197 - -6?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2856 = 108*p - 53*p - 111*p for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -311*k + 1. Let l be n(-1). Suppose 41*v - 33*v - 200 = 0. Suppose g - l = -v. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -373, -386?\nAnswer: -399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1676429 - -3213207\/2. Let t = u - -67011. Let v = 8500\/3 + t. Find the common denominator of v and 31\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9380)\/(-1675) - 10\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*-9*4\/(-144)*-21.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by 25\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 17. Let v(s) be the first derivative of 3*s**2\/2 - 7*s - 1. What is the units digit of v(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 57. Let a = m - 14. Calculate the remainder when 29 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 120 = -6 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.133 + 0.037. Let z = 7.83 + y. Which is the smallest value? (a) z (b) -2 (c) -0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/75*(-40 + 41)\/(-3 - 32\/(-12))?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**3 + 3*w**2 + 9. Let s(k) = 21*k**3 - 11*k**2 - 36. Let z(j) = 22*f(j) + 6*s(j). What is the derivative of z(o) wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 6*i**2 + 9*i + 17. Let h(p) = 3*p**3 - 5*p**2 - 8*p - 17. Let w(k) = -3*h(k) - 4*z(k). What is the hundreds digit of w(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, w: 1, a: 1, z: 1}. Give prob of picking 1 z, 1 x, and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f. Let l(i) = -3*i**2 - 130. Give l(w(m)).\nAnswer: -147*m**2 - 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.416538188 to 3 decimal places.\nAnswer: 5.417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 46\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250\/9 + -491\/18. What is the closest to l in 1\/4, -0.2, 2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*s + 20, 17 = -0*o - 3*o + 4*s. What is the units digit of 2\/o + (-60)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22165.\nAnswer: 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3984579 or 3984577?\nAnswer: 3984577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27089168 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4152980477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - 1)*6\/9. Suppose 3*l + 48 = 69. Let v be 1\/l + 27\/7. Solve 0 = -v*z + g + 13, -2*z + 5*g - j = 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - b?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/6)*c)\/c*c**(-4)*(c**1\/c)**(1\/5)*(c*c**(1\/3))**14*(c*c**(1\/3))**(-17\/3) assuming c is positive.\nAnswer: c**(143\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 800*k**4 + 2949*k**2\/2 - 4114. What is the second derivative of o(m) wrt m?\nAnswer: 19200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 4*a**2 + 2*a + 8. Let t(v) = -v**3 + 26*v**2 + v - 30. Let k be t(26). Let r be w(k). What is the third biggest value in -2, r, -2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f**2*f**(-3)*f*(f*f*f**(-6))\/f)**31 assuming f is positive.\nAnswer: f**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1 - 3*o - 2*o + 3*o + 3*o. Let s(x) = 59*x + 10. Let p(u) = 5*l(u) - s(u). Is p(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*l**3 - 80*l**2 - 216*l**2 + 22*l**3 - 2*l**4 - l**4 + 33*l**2 wrt l?\nAnswer: -72*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 412, 815, 1218, 1621, 2024?\nAnswer: 2427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 325 - 361 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-3 - (-1 - 3639)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuy. What is prob of picking 1 u and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -5. Sort n, 4, 0 in increasing order.\nAnswer: 0, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -68*o + 65*o - 10, -4*f - 5*o = 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = 0, 4*r - 2*s = 37 - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 10*g**2 - 9*g - 7. Let a be o(9). Let j(t) = -2*t - 9. Let m be j(a). Put -4, 4, m in descending order.\nAnswer: m, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l + 20 = 468. Calculate the greatest common factor of 104 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 32*z**2 - 150*z + 231. What is x(36)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40469333.\nAnswer: 17, 227, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/6)\/(336\/576).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41804383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1)*-1 + -7. Let z(s) = -s**3 - 8*s**2 - 2*s - 20. List the prime factors of z(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*o + 4*i, 0*i - 9 = o - 2*i. Suppose 3 = -2*d + 1. What are the prime factors of o\/(2\/68)*d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-4455)\/18))\/((-128)\/96*(-2)\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 546550\/13 or 42042?\nAnswer: 546550\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 85. Let p = q - 25. Suppose 102 = p*v - 12*v. Solve 4*o - k = v, -o - k - 1 = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66641856 + 263502 = 99*k - 21*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*137\nAnswer: -23.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (-5 + sqrt(72) + 4))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 410, 817, 1224, 1631, 2038?\n\"Answer: 407*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -445*j**2 + 1 - 3 + 48*j**2 to the form m + v*j**2 + b*j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*j**2 - 5547963*j - 517494679 wrt j?\nAnswer: 14*j - 5547963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 3*w + 31, w - 43 = -4*g. Suppose 13*r - g*r = 345. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 16. Let o be u(8). Let s be (-10)\/15*9\/o. Let n = -198 - -197. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*t + 58666*i**3 + 169*i*t - 1442*t wrt i?\nAnswer: 18*i*t + 351996*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -182 + 185. Let d(o) = -2*o - 8. Let q(n) = -2*n - 7. Determine t*q(v) - 2*d(v).\nAnswer: -2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -18?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*p + 40 = 0, 2*t - 8 = -t + 4*p. Let v be (-3 + 188082\/t)\/6. Let w = -3927 + v. What is the common denominator of 27\/16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110*z + 86 + 18 + 56 - 5*z**2 - 45.\nAnswer: -5*(z - 1)*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 3900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 + 2558?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uubujunbnvjb. Give prob of sequence bju.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/7 + 2388*j**3\/7 - 668538*j**2\/7 - 26435160*j\/7 - 245089800\/7.\nAnswer: -2*(j - 615)**2*(j + 18)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53\/(-91) + 3\/7. Which is the third smallest value? (a) 10 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 5. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 3*h + 2*h)*(2*h + 0*h - 3*h) + h**2 + 3*h**2 - 5*h**2 - 2*h + 2*h - 2*h**2 - 2 - 22*h - 19*h + 40*h + 76*h**2.\nAnswer: 72*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2272 by 142.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*15\/(-25)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykkk when four letters picked without replacement from kkhyhkykkyyyyyyyyky?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {y: 1, c: 2, a: 2, f: 1, d: 2, r: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.182 to 1 decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**3 - 22*t**2 - 38*t - 200. Determine u(-5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 645. Calculate x(304).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46316 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 8:11 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 122*u - 53*u - 64*u + u**2. Suppose 15 = -5*n + 3*h + 2*h, -15 = 2*n + h. Let q be t(n). Solve -5*x - 4*m + q = 41, -3*m = -x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**0\/k)*k*k**(1\/3)*k*((k**(-4\/9)*k*k)\/k*k)\/((k*k**(-14))\/k) assuming k is positive.\nAnswer: k**(179\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - ((-2 - -4) + -6). Let d be (s + 57\/9)*3. Suppose -d = -u + l - 4, -u - 3*l + 16 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {t: 2, n: 3, s: 2, h: 1, p: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7159*m + 14320*m - 7164*m - 99 + 99.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 0 + 68 + -80 - (33 + 2) - 8.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = a - 0*n - 78, -3*a - 4*n = -247. Suppose a = 7*c - 31. Suppose 0 = -4*f - c, 3*z - 360 = -3*f - 144. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m. Let h = m + 5. What is the remainder when 14 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677238?\nAnswer: 2, 3, 41, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6652 or 6653?\nAnswer: 6653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6989281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4 - 14*i**4 + 2*i**2 - 28*i + 28*i - 8 with respect to i.\nAnswer: -60*i**3 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + 0 + sqrt(108) - sqrt(108) - -1*sqrt(108)*2))**2.\nAnswer: 384*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -399*b**3*p**2 + 3145*b**3 + 77*b**2*p + b*p**2 + 2*b*p + 114*p wrt b?\nAnswer: -2394*p**2 + 18870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71268 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i**5 + 1263*i**4 + 8883*i**3 + 21021*i**2 + 1029*i = 0. Calculate i.\nAnswer: -7, -1\/20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24*(-3 + (-57)\/(-9)). Let t = g - -130. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m)\/(m\/(m*m**(-9)*m))*m**(2\/19)\/(m**(-3\/5)*m) assuming m is positive.\nAnswer: m**(-408\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 22, -11, -96, -251?\n\"Answer: -3*f**3 + f**2 + 19*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:22 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.3. Suppose -l - 4*l - 24 = 4*t, 2*t - 5*l + 12 = 0. Let u be t*(12\/9 - 1). What is the second biggest value in n, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/15, 4\/7, 1, -71?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**7\/5040 + h**6\/180 - h**5\/12 + 5*h**2. Let a(p) be the third derivative of w(p). Determine a(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144662200 divided by -36165550\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 11:27 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27094473 + -2.6251\nAnswer: 27094470.3749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-8))\/(-3))\/(3428\/13712)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2494317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 3*w + 6 + (-15*w + 26*w + 25*w - 9*w)*(-1 - 6 + 3) as z + j*w and give j.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610588 divided by 4.\nAnswer: -152647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 44. Suppose 7*m - 150898 = -q*m. List the prime factors of (-2)\/9 - m\/(-171).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*z - 60, 7*z = 2*k + 5*z - 32. Let a(m) = -2*m**2 + 43*m + 14. What is the units digit of a(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223720, -447432, -671144, -894856, -1118568?\nAnswer: -1342280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8*n - 9. Does 29 divide 32 - 2 - (n + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 3 - (-7 - (-11 - -6)) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -6. Let f(c) = 2*c - 4. Let j be f(3). Suppose -n*h = j*h - 4. Let x(a) = 5*a**3 - a + 1. Calculate x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllbllll. Give prob of sequence blb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68538 and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**1\/a)\/a)\/a)\/a)\/a**(-13)*((a*a*a*a**(-3\/4))\/a)**(-43) assuming a is positive.\nAnswer: a**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 2*r + 2 = 3*q, -34*r = 38*q - 30*r + 436 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.245632969 rounded to four decimal places?\nAnswer: -0.2456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/(h**(-2\/27)\/h*h*h)*h)\/h*h\/(h*(h*h**(3\/2)*h)\/h)*h*h)\/(h**(-3\/7)*h**3) assuming h is positive.\nAnswer: h**(-755\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -533*l**4 - 44*l - 8 wrt l?\nAnswer: -6396*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -3 (c) 1\/52 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4 + 0)*24\/(-224))\/((-477)\/10017)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-5) - (-254)\/10. Do n and 24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 11*l**2 + 11*l + 17. Let c be u(12). Let b be (6 - (-76)\/(-13))*-13. Put 80, 2, b, c in increasing order.\nAnswer: b, 2, c, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*sqrt(51)\/sqrt(3)*3)**2.\nAnswer: 5503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + -75056.061.\nAnswer: -75056.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -1 + sqrt(7) + -1 + sqrt(7) + 1*sqrt(1008).\nAnswer: -2 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*p + 8, 3*p + 2 = u + 3. Let l(y) = 5*y - y**3 + 1 - 8*y - 3*y**2 + u*y. What are the prime factors of l(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 8 + (-1)\/(1\/1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 - 19*x - 12. List the prime factors of s(8).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 15800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20372098 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3721 - 2521. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6303 and 31548?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {y: 1, n: 14}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 12*h**3 - 2765 + 3*h**2 - h**3 + 2767 to the form s*h**3 + j + o*h**2 + u*h and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*m = -44, -6*w + 3*w - m + 53 = 0. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence te when two letters picked without replacement from teetteteteee.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v. Let s(d) = 6*d**2 + d - 1. Let t(c) = -37*c**2 + 2810*c + 6. Let u(q) = -6*s(q) - t(q). Give i(u(f)).\nAnswer: -f**2 + 2816*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -1\/2 + 3\/4*q - 1\/4*q**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/240*-3)\/((-1)\/2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 355*k**4\/12 + k**3\/2 + 25*k**2 + k + 23. Find the second derivative of i(u) wrt u.\nAnswer: 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**5 + 76*q**4 - 27850*q**3 + 106732*q**2 + 1018640*q - 1097600 = 0.\nAnswer: -140, -5, 1, 8, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 153\/4 in 0.1, -107, -2\/27, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4394599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18284, 17894, 17242, 16328, 15152?\n\"Answer: -131*w**2 + 3*w + 18412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -5. Let u(y) = -17*y**3 + 13*y**3 - 7 + 6*y + v*y**3 + 9*y**2. What are the prime factors of u(-6)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q - 100*q - 7*q**3 + 4*q**3 - 56*q + 0*q**3 - 66*q.\nAnswer: -3*q**3 - 174*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 646 divided by 18\nAnswer: 323\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 10*y**3 + 78 - 12*y**3 - 19 - 40.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - x**2 - 25*x + 1. Let h(b) = 1024*b**3 - 14*b**2 + 2000*b + 14. Let n(a) = 3*h(a) - 42*r(a). What is the second derivative of n(s) wrt s?\nAnswer: 18936*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3738*l - 1279*l - 1326*l - 1270*l.\nAnswer: -137*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) -2\/5 (c) 1 (d) -0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -599. What is the highest common factor of 72 and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 545 = -3*c + 3100, -5*l = -c + 846. Suppose -k + 842 = -c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r - 9. Let z be m(-6). Let j(o) = 4*o - 9. Let s be j(z). Put -0.1, 0, -2\/5, s in decreasing order.\nAnswer: s, 0, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3204, 3198, 3188, 3174, 3156?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*i**3 - 6*i - 74*i**4 - 157*i**3 + 21 - 22 + 81*i**3 in the form r*i**2 + n + h*i**4 + s*i**3 + f*i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 423955963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - k + 15 = 0, -5*g + 15 = -g - 3*k. Solve 0*c = 2*c + g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.76 - -42.26. Let m = -4 + 2.9. Let z = 0.8 + m. Sort -4, z, b, -0.2 in decreasing order.\nAnswer: -0.2, z, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 477892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 8:02 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 3)\/((-5)\/1845*6). Let f = h + -90. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 0*i**3 + 0*i**4 + 0*i**2 - 3 - 7\/5*i**5 - 5*i. What is the derivative of b(w) wrt w?\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 311\/14 + -45\/2. Which is the closest to -0.1? (a) -4 (b) m (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -161*z**3 - 9*z**2 - 7*z - 7. Let w(o) = 81*o**3 + 5*o**2 + 4*o + 4. Let k(u) = -4*g(u) - 7*w(u). What are the prime factors of k(1)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) - 6\/(-21). Let v(m) = -m**3 + 20*m**2 - m + 23. Let d be v(20). Solve h = 5*z - r + 1, -3*r + 2 + 1 = -d*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 103.7. Let r = -0.13 - -1.73. Let z = r - h. Sort 1\/3, -1, z.\nAnswer: -1, z, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 498*a**2 + 913*a + 7. Let s(g) = -250*g**2 - 457*g - 4. Let b(j) = 7*s(j) + 4*u(j). Find the second derivative of b(c) wrt c.\nAnswer: 484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-192)*(-6 + 9) - (-2118)\/(-96)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17510.\nAnswer: 2, 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 13 - 59 = 0. What is the highest common factor of p and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -510 - -513. Put -4, 2, w in descending order.\nAnswer: w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (277 - (48 + 73)) + -271?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 0, -157 in ascending order.\nAnswer: -157, 0, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 9*r**2 - r + 17. Let v(i) = i**3 + 7*i**2 + 8*i + 4. Let k be v(-5). Suppose 3*g - k = 16. What is the lowest common multiple of u(9) and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1914045 = -2*p - 3*p. Let u = p - 232809. What is u rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*12*(-4)\/(192\/6)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 6. Suppose b*q - 6 = -3*q. Suppose -n + 5*n = d + 35, 5*n + q*d - 34 = 0. Calculate the remainder when 15 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53632.83 months to years.\nAnswer: 4469.4025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t + 0*t + t**2 + 6*t. Let p(n) be the second derivative of -n**5\/40 + n**3\/3 + 2*n. Let q(c) be the second derivative of p(c). Calculate w(q(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: -0.0110758 - -7\nAnswer: 6.9889242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (5 + -9 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 225 = 40. What is the remainder when j is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -99*n - 2. What is the hundreds digit of t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3))**(-2\/83)\/(((p**(1\/17)*p)\/p)\/p*p*p*p**6*p*p*p) assuming p is positive.\nAnswer: p**(-42613\/4233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -97\/6*q**3 + 4*q**2 - 7\/12*q**6 - 1\/12*q**4 + 0*q - 31 + 0*q**5. Find the second derivative of v(z) wrt z.\nAnswer: -420*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000044368517 rounded to 7 dps?\nAnswer: -0.0000444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 10 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418.510046 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4*j - 47116, 2*j - 7615 - 15955 = 5*b. Suppose -4*a + 5*k = 18688, -14016 = -94*a + 97*a - 5*k. Let s = j + a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/122950 and -103\/34750?\nAnswer: 85450250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 162, -5 in decreasing order.\nAnswer: 162, -5, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2100220 (base 3) to base 12\nAnswer: bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 104*k**2 - 44*k - 2. Let u(f) = -26*f**2 - 10*f. Let i(t) = -2*q(t) + 9*u(t). Let m(b) = -2*b**3 + 25*b**2 + b - 3. What is 3*i(y) + 4*m(y)?\nAnswer: -2*y**3 + 22*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 12:52 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -417000, -834010, -1251028, -1668054, -2085088, -2502130?\n\"Answer: -4*u**2 - 416998*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -519 and -11.6.\nAnswer: 6020.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**4 + 4*j**3 - 6*j**2 + 4*j - 3. Let y(l) = l**4 - 1. Let m(v) = v - 6. Let z be m(0). Let h(d) = z*y(d) + 3*s(d). Factor h(w).\nAnswer: -3*(w - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3 + 3)*(-n**4 + n**4 + 4*n**4) + 11*n - 11*n - 2*n**5.\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 13) to base 15.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 3 - 6*j + j**2 - 7*j**4 - 6*j**2. Let d(w) = -13*w**4 - 11*w**2 - 11*w - 6. Let t(y) = -6*d(y) + 11*r(y). Differentiate t(c) wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/(-59)*(2\/14 + 0)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mxkxxxma. Give prob of picking 1 a, 1 m, and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/8 of a tonne?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.3 and 174608.\nAnswer: 174611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3307 + 156?\nAnswer: -3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 764178 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1280+-678548\nAnswer: -679828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.106 > -48\/6277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 361931536 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*q - 535 = 0, -3*q - 2*q + 540 = 5*r. Let f = -93 + r. Suppose -5603 = -3*o - f*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*i**3*v + 140*i**3 + 9*i**2*v - 2*i**2 + 31*i - 37*v + 137 wrt i?\nAnswer: -84*i*v + 840*i + 18*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1022, 1041, 1074, 1121?\n\"Answer: 7*i**2 - 2*i + 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 6625*g - 387391. Calculate c(-59).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281638059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -66 - (14859 - 14772)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let l(m) = -23*m + 2. Give p(l(w)).\nAnswer: -1058*w**2 + 184*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2041 and 8635.\nAnswer: 112255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(637) + sqrt(637) + (-3 + sqrt(637))**2 + sqrt(637) + sqrt(13)).\nAnswer: -100*sqrt(13) + 3230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/113424408 and -41\/1668006?\nAnswer: 113424408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3348406 to the power of 1\/2, to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 165 = -45. Suppose 3*b + q - 99 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*o - 48 = -9*o, 0 = 3*j - 2*o - 11 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 1907417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 433 = 5*x, -9*s - 255 = -3*x - 6*s. Let k = 193 - x. Calculate the highest common factor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20284 + 892469\/44. What is the common denominator of v and 25\/1036?\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3263 (base 7) to base 11.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 2. What is r(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-172)\/10)\/(2\/20). Let u = k - -298. Find the common denominator of 4\/14 - (-1119)\/u and -77\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1354, -934, -234, 746, 2006, 3546?\n\"Answer: 140*w**2 - 1494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 times -3?\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 477.9 - 477.5. Which is the nearest to 59? (a) -1 (b) 3 (c) 1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose k + 13 = -4*a. Let q(z) = -z**2 - 4*z + 4. What are the prime factors of q(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**4 - 1291840*q**3 + 7751295*q**2 + 19378090*q + 10334960 = 0.\nAnswer: -258374, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 708 + 905. Suppose 1995 = 5*b - 2*n, 6*n - n = 4*b - g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 245?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + f - 16 = 0, 0*f - f + 6 = 2*m. Suppose -2*v - 3*t + 93 = 0, m*v - 6*v + 2*t = -64. What is the tens digit of v - (3 + 3 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**2 + 294 + 308*b - 76*b - 5*b**2 - 33*b.\nAnswer: (b + 98)*(2*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 8*s. Let p be r(-7). Let o(g) = 4*g**2 - 37*g - 17. What are the prime factors of o(p)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199 - -244. What is the second derivative of -26*m**2 + 33*m + 81*m**2 - 5*m**5 + 2*m**5 - 18 - 22 + y wrt m?\nAnswer: -60*m**3 + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2483.3 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - w)*(-3 + 5 - 4) + w - 3*w + 4*w)*(-5*w + w + 2*w) to k*w**2 + r + c*w and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 6, -19, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 82088\nAnswer: 24626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from zzklzkpjlkzjkklkz?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, z: 7, l: 2, h: 3, b: 1}. Give prob of sequence zbz.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 92. What is d(4)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/4 - 539187*u\/2 - 5391795\/4.\nAnswer: -3*(u + 5)*(u + 359453)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*24\/(-15). Let a(g) = g**2 - 3*g + 1. Let q be a(n). Find the third derivative of 0*s**2 - 2*s**2 + s**q + 3*s**2 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*m = 217*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 18\/5 of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 12 = -11*m. Which is the third biggest value? (a) 4 (b) -4\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-45) - (1379\/105 - 7) - -15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 994032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 + 106.695. What is k rounded to 2 decimal places?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33178447 (base 9) to base 2\nAnswer: 111101001111100010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13*s**2 - 1 - s + 13*s**2 + 47*s**3 - 23*s**2. Let u be t(1). Is 16 a factor of (u\/5)\/(4*(-4)\/(-80))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21603, -21599, -21595?\nAnswer: -21591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(80)*-1 + -1 + sqrt(80) + 1)**2 + -3 + sqrt(220)\/(sqrt(22)\/sqrt(2)) + 2.\nAnswer: -1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30650 - -30654. Sort 0, 7, -165, -0.2, p in increasing order.\nAnswer: -165, -0.2, 0, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120969085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -28c7 + -b1?\nAnswer: -2988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49794, -49773, -49756, -49743, -49734, -49729, -49728?\n\"Answer: -2*f**2 + 27*f - 49819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -1, 11, 4 in ascending order.\nAnswer: -1, 2, 4, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4246523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -258740 divided by -5?\nAnswer: 51748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 + 0?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1 - 33*r + 15*r + 5 + 4*r**2 - 15*r. Suppose -5*u + 3*u + 26 = 0. Calculate the remainder when y(9) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, p: 3, b: 6}. Give prob of picking 1 b and 2 z.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621339 is divided by 235?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333, -4, 6, -77, 20 in decreasing order.\nAnswer: 20, 6, -4, -77, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(1\/4))**25)**(-41))**(-36))**(-31) assuming l is positive.\nAnswer: l**(-1429875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(392) + -1 + sqrt(392) + sqrt(392))*6 + 3 + sqrt(392) + 1*sqrt(392) + 5)**2.\nAnswer: -4480*sqrt(2) + 156864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - (-16 - 12)) + -1 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -11. Let r be 1\/(-3) - (-1)\/6. Which is the closest to r? (a) -2\/3 (b) d (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 11*f + 21. Let j be k(9). Let y = j + -4. Let b(r) = -7*r**3 + r**2 - 1. Give b(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 h when four letters picked without replacement from quvhhqqqqhqqh?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(7)*-2 + -5 + -1 + (sqrt(7056) - -1*sqrt(7056))\/(sqrt(7) + sqrt(343)*1).\nAnswer: -11 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 7)*(-78 + 174 - 98 + 300*d).\nAnswer: 1200*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 - 137. Let x(z) = 3*z**2 + 2*z - 6. Calculate the remainder when x(y) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-1870)*-1166 - -2*3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/3, -2.3, 0.1, 4, 112?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 193\/1680 and 101\/84.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -1.512?\nAnswer: 1.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1737 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -25. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -2)\/(2\/(-40)). Let t(j) = -20 + a + 2*j. Let g(p) = 6*p**2. Let c(s) = 11*s**2. Let k(q) = 4*c(q) - 7*g(q). What is t(k(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 4*x + 16, x = p. Suppose -k = -3*z - 1, -p*k - 3*z + 25 + 9 = 0. Suppose k*a - 1495 = 934. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785706624.\nAnswer: 2, 3, 682037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*r - 16547 = 290*r + 4861 - 3488 for r.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 138, 314, 560, 876?\n\"Answer: 35*g**2 + g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -b - 1, -2*b + 4*q + 8 = -2. Suppose -3*g + 5*j = g - 104, b*g = -j + 59. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.212828 rounded to three dps?\nAnswer: 0.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 191 - 66 = 0. Let a = g + 27. Let v(l) = -3*l**2 + 4*l**a + l - 6*l**2 + 0*l. Give v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148789684 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1222 (base 4) to base 11\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*k - 379. List the prime factors of k.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/350*-7*-43?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n. Suppose -5*g + 12 = -18. Let m(s) = -3*s - 2*s + s + g*s. Give m(x(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1192\/48 + 2\/12. Suppose -80 = 3*l + y. Do l and -36 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/770*155 + ((-60)\/55 - -1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 65. What is the closest to 3 in -2, -4, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121120 - 12?\nAnswer: 1121101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1592)\/(-12736))\/((-1)\/536).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 0.12756002.\nAnswer: 0.08756002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g + 2. Let f(q) = -4*q + 1. Let a = -39 + 39. Suppose 0 = 2*p + 6 - a. Give p*n(h) + 5*f(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 508 - 529.7. Let j = -1.7 - o. Let q = j + -17. What is the smallest value in -4\/7, -1\/3, q?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*x + 7*u + 24, -2*u = -4*x - 6. Sort x, 3, 4, 5 in increasing order.\nAnswer: x, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002613954474 rounded to five dps?\nAnswer: 0.00261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 34*g**2 + 34*g**2 - 11 - 63*g**2 - 15. Let m(r) = r**2 + 1. Let l be (2\/(-3))\/(4\/18). Let h(q) = l*m(q) - c(q). Differentiate h(i) wrt i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20040 (base 7) in base 8?\nAnswer: 11336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24285 is divided by 4856.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -52900445.\nAnswer: -1\/10580089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/393 or 5.0148?\nAnswer: 5.0148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 32. Let g(b) be the third derivative of b**5\/12 - 3*b**4\/4 + 8*b**3\/3 + 3025*b**2. Is 10 a factor of g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6915217 is divided by 160?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1276, 1\/6, -2\/9, -1?\nAnswer: -1276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 611*d**3*z**2 - 4*d**3 + 69*z wrt z.\nAnswer: 1222*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51.8 and -153.\nAnswer: -7925.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**2 - 10*s + 6. Let n be o(8). Suppose 30 = -v + n*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 5224306?\nAnswer: -5224304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7494783299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -0.11 (c) -2 (d) -1.7 (e) 0.1 (f) 3\/5 (g) -99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1930211*p**3 - 8115651 wrt p?\nAnswer: 5790633*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -665 - -11299\/17. Let s = -5\/34 + o. Let r = 5.4 + -5. Which is the closest to s? (a) 1 (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by -2*(-4)\/(8\/11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 + -3. Is i at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h - 8. Let d(c) = 7*c - 5. Let y(m) = -7*d(m) + 5*f(m). What is y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-2\/53)\/(v**(-2\/5))**27)**(-3\/14) assuming v is positive.\nAnswer: v**(-8571\/3710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0909779l?\nAnswer: 90.9779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21.31+9.5212638476\nAnswer: -11.7887361524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -6*4\/8. Let r(f) = f**2 + f - 6. Let y be r(m). Let o = 131 + y. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 11597169?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0277 - 27.9277. Let g = p + 27.4. Let i = -0.2 - 0. Sort g, -3\/5, i.\nAnswer: -3\/5, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41211 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3940000 rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21242273 and 996?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9 (b) 6 (c) 8\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134\/35 - 24\/7. Put g, -4, 3, 0.1 in decreasing order.\nAnswer: 3, g, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 2*v**2 - 40*v - 2. Let d(s) be the first derivative of -s**4 + 5*s**3\/3 + 79*s**2\/2 + 4*s - 1220. What is -2*d(h) - 5*y(h)?\nAnswer: -2*h**3 + 42*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2613 - s**2 - 7811 + 2607 + 2591 + s**2 - 6*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*504\/(-27)*-8*36\/192.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24738, -1, 12, 0 in descending order.\nAnswer: 12, 0, -1, -24738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(96) + sqrt(96)*-2)\/(4*sqrt(4)\/sqrt(2)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000002011022020 - -20?\nAnswer: 1000002011022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 + 2.4. Which is the biggest value? (a) 4\/3 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -718 + 776. Solve h = j + 59 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*d**3 + 33*d**3 + 37*d**3 + 36*d**3 + (2 + 2*d**2 - 2)*(d - 2*d + 0*d) - 4*d**3 + d**3 + d**3.\nAnswer: 71*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 45*q**2 + 45*q + 26. Let c be l(-44). Let f be 524\/18 - c\/(-162). What is the nearest to 2\/3 in f, 0.4, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286304 to the power of 1\/2, to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000000010001 (base 2) in base 5?\nAnswer: -112423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 64 = -304. Suppose -4*x = -65 - 223. What is the highest common factor of x and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -87, -98, -113?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v - 256*v**2 - 11*v + 10*v + 259*v**2 - 25*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 = 2*v, -v = -5*v - 4. Suppose 0 = -p + m*p. Suppose p = 4*l - 1 - 3. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 647*d**5\/30 + 580*d**3\/3 + 1206*d**2. What is the derivative of b(r) wrt r?\nAnswer: 2588*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = c - 15, -2*k - 6 + 15 = -c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 + 1 = 0. Let g = -13 - -9. Sort m, -12, g in descending order.\nAnswer: m, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**4\/7 - 8*v**3\/7 + 2*v**2 - 44. Find y such that g(y) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (3 + -20 + (-4 - -21)) - (-2 + 10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*-1*21\/6. Suppose 3*f - d = -4*r, 3 = f - r + 4*r. Solve w - f = 3*w - 2*k, 4*k = 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 u when three letters picked without replacement from qpbmbbupuiu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-81)\/(-12) - 6). Solve 4*g**4 + 189*g**3 - 207*g**3 - 5*g**l = 0 for g.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and 3646598.\nAnswer: 3646589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1455360 and 8322840?\nAnswer: 266330880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 - -2) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 44665546*l\/3.\nAnswer: 2*l*(l - 22332773)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 1 = 6 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 793 = -x + 559. Let p be (-6)\/(-5)*208\/x. Which is bigger: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -15*v**2 - 35*v + 189. Calculate z(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31770872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46044 and 5113442?\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 2\/115024167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**6 - 6*j**4 - 6051*j**3 + 58590*j**2 - 4.\nAnswer: -240*j**3 - 144*j - 36306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/7 - 41332*k**2\/7 + 30517774*k - 853836488\/7.\nAnswer: 2*(k - 10331)**2*(k - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 8:10 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d + 422. Let k be l(-42). Solve -44 = x - k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*z**3 - 122*z**2.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6135894 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/40 + (-2)\/4 - (-371)\/(-56) - 41?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 633 - 632. Let b(n) = -5*n + 6. Give b(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102109042*u + 102109137*u - 7125 = 0 for u.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*w - w - 2370 = 0, h = 2*w + 481. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 6*v**2 - 8*v - 9. Let u be l(7). Let t = u - -25. What is the smallest value in t, -1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 524.4129 nanograms?\nAnswer: 0.0000000005244129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:19 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + sqrt(11)*-3)**2 - sqrt(22)\/(sqrt(14)\/sqrt(7))*-5.\nAnswer: -345 - 67*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -51, -0.2, -6\/7, 0.01, -9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 5, 2, -18, -1 in decreasing order.\nAnswer: 29, 5, 2, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64\/(-1) + -7 + 9. Let q = 107 + c. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -627 + 601 + -66 + 26.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(22 + (-3591)\/168)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4*v - 3. Let s(d) be the first derivative of -13*d - 259 - 5\/3*d**3 + 8*d**2. Determine 9*l(i) - 2*s(i).\nAnswer: i**2 + 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(980))\/(-6*-1*sqrt(4) + sqrt(28)\/sqrt(28)).\nAnswer: 28*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16331 (base 8) to base 13.\nAnswer: 3491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(55)*1 + -5*-1*sqrt(55)))\/(sqrt(1584)*-1*-5).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -8)\/(12\/(-8)). Suppose 0 = -3*a - 76*m + 79*m + 6, -2*a + 5*m = -13. Sort 3, 4, a, n in descending order.\nAnswer: 4, 3, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.932 + -2.962. Let g = 5 - 4.97. Let q = g + s. Is -0.2 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 16*d**3 - d**2 - 2*d + 2. Let b(q) = 75*q**3 + 140*q**2 + 4390*q + 24510. Let u(v) = b(v) - 5*y(v). Factor u(f).\nAnswer: -5*(f - 49)*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1329 divided by -3719.\nAnswer: 1329\/3719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*k = -21, 0 = -p - 2*k - 110 + 93 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n**2 - n - 29*n**2 + 12*n**2 to the form f + i*n**2 + d*n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -0.4 (c) -25 (d) -24 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5224 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 (base 5) in base 16?\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1223*b*c**2 + 4147*b - 2*c**2 wrt c.\nAnswer: 2446*b*c - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/80 and -19\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -9*o**4 - 845*o**3 + 853*o**3 + 7*o**4 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a + 22980?\nAnswer: 22941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1410 in 0.3, -0.4, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3012.9 - -2857. Let w = -156 - n. Is w <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 11*y + 10. Let z be p(-11). Let x be (-14)\/(z\/((-10)\/2)). Solve -s + 2 = -5*s + o, 5*s = -o - x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.45530786 plus -0.1816?\nAnswer: -6.63690786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77.7 - -74. Let k = 3.7 + l. Let d = -0.008 + k. Round d to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11276658 is divided by 772.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 1, e: 11}. What is prob of picking 2 p and 1 e?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6512 - -6524. Calculate the lowest common multiple of z and 177.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(1 - 2 + 0)*(-2*j - j + j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**2\/2 + c + 6624. Let x(z) = 14*z**2 - 9*z - 6. Determine 6*a(h) + x(h).\nAnswer: 14*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-918)\/(-306)*6\/(42\/35).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 12057*a**3 + 4.\nAnswer: -12057*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-9) + 58\/(-210). Let k = 22745 - 159213\/7. Which is the second smallest value? (a) 2\/21 (b) 5 (c) i (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4666 - 2356. List the prime factors of l.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 78. Suppose 3*v + z - 17 = 0. Solve -2*r + 1 = -v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/9)\/(4\/(-60)). Suppose 6 = y - 0*o - m*o, 24 = 4*y + 2*o. Solve c + y = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 8. Suppose -b = 4*f, 5*f = 4*y + y - 15. Let o(x) = 1 - x**2 - y. Let u(s) = s. Calculate u(o(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**3*y + 3*k**3 + 364*k**2*y + k**2 - 2*k*y + 10*k - 29*y - 892 wrt k.\nAnswer: 24*k*y + 18*k + 728*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 28 = -2*i, -264*o - 24 = -263*o - 5*i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/80 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 0.1, -1, -0.1, 2\/3, -3\/34019?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 435.254 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -2 (c) 0.5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -1\/5 (b) 2\/27941 (c) 0.1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -218 - -253 - (8 - (16 + 7))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 4*y**2 - 6*y - 1. Let v be i(-5). Suppose 13 = v*g + 5. Solve 3*k + q - 4 = 0, -g*k - 5*q - 14 = -4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4*y - 33. Let f be z(0). Let c = -30 - f. Let n(l) = l**2 + 5*l + 5. What is the lowest common multiple of n(-5) and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*i + 15 = -3, 5*i = 4*n - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 16453793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 26*b + 15. Let y(i) = -25*i - 20. Calculate -3*v(j) - 2*y(j).\nAnswer: -28*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165251 (base 9) in base 2?\nAnswer: 11000111101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01596 - 0.10512. Round f to three dps.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 12:44 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + (-7)\/((-7)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, u: 8, d: 5}. What is prob of sequence iui?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m - 380*m**3 + 0*m**2 - 56*m + 2*m**4 + 773*m**3 - 391*m**3 + m**2 to the form p*m**4 + b*m**2 + a*m**3 + k*m + h and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 1, n: 6, d: 2, l: 7}. Give prob of picking 1 a and 1 d.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24875894 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -3\/2*a**2 - 1\/10*a**6 + 0*a**5 - 19*a + 0*a**3 + 0 + 1\/2*a**4. Factor r(q).\nAnswer: -3*(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18324 - -14677526\/801. Let l = f + -13352\/801. Calculate the common denominator of -2 + (-2 - (-65)\/2) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622803.\nAnswer: 3, 53, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8297 rounded to 2 decimal places?\nAnswer: 5.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/12 + 19*z\/4 - 105\/2.\nAnswer: -(z - 42)*(z - 15)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -13, 2\/5, 0.1, 1\/2, -3\/5 in ascending order.\nAnswer: -13, -3\/5, 0.1, 2\/5, 1\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(19 + 25*d**2 - 17*d**2 - 4*d**2).\nAnswer: -8*d**2 - 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 17 = j, -2*f + 9 + 14 = 3*j. Solve -j = -3*r - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13508 + -476a?\nAnswer: dc8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, o: 5, s: 1}. Give prob of picking 2 o and 1 s.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75103821?\nAnswer: 3, 13, 37, 5783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -69*h**3 + 23*h**2 + 23*h - 23. Let n(u) = -17*u**3 + 6*u**2 + 6*u - 6. Let s = -7875 - -7869. Give s*d(g) + 23*n(g).\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*2*-3*5)\/(sqrt(144)*1 - (sqrt(64) - (sqrt(64)*1 + sqrt(64)) - sqrt(64))).\nAnswer: -15*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1838472 and 1\/5055798.\nAnswer: 20223192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 55 and 5091245.\nAnswer: 280018475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/9)\/((-26)\/39). Suppose -4*j + 25 = y + j, 2*j = 3*y - 7. Suppose -2*t + f = x, 10*t - y*t + 25 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.91274ml in litres?\nAnswer: 0.05291274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/8? (a) -1\/4 (b) 0.1 (c) 2\/11 (d) 1\/32 (e) 124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - (sqrt(40) + sqrt(40)*-4 + sqrt(40) + sqrt(40)))*-2)\/(sqrt(16)\/(sqrt(2)*4 + sqrt(2))).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/((1 - -5 - 1173\/195)*5). Suppose -x = 5*o - 4 - 309, 4*x = 4*o + 1156. Let u = y + x. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t - 96 = -18*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 5*d - 103 = -83, 2*a + 4*d + d = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100012 (base 4) to base 3.\nAnswer: 1102011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4, 3*u - 32 = -5*k + 6. Solve -5*y + u*y - 4*t + 15 = 0, -3 = 3*y + 2*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/15))**(1\/31) assuming j is positive.\nAnswer: j**(17\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-108)*(-1386)\/56?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/35 + 92\/28. Let l be (-49)\/(-14)*((-24)\/(-14))\/b. Find the third derivative of -11*a**2 + 4*a**6 - 8*a**2 - a**6 + 0*a**l wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -141104 + 140978.867. Let z = a - -125. Let u = z + 0.1330137. Round u to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51294 and 1743?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**4\/11 - 746554*i**3\/11 - 18578195370*i**2\/11 - 154111084699950*i\/11 - 61641461416500\/11.\nAnswer: -2*(i + 24885)**3*(5*i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 2*b**2 + 30*b + 39. Let o be j(-6). Suppose -6*s - 48\/5 + 69\/5*s**2 + 9\/5*s**o = 0. What is s?\nAnswer: -8, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260480)\/528)\/((-20)\/3)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*p**4 + 124*p**5 + 5*p**4 - 163*p**5 - 204*p wrt p?\nAnswer: -780*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1516, 6110, 13740, 24382, 38012?\n\"Answer: -4*l**3 + 1542*l**2 - 4*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*l + 53*l - 143. Suppose 0 = -2*d - 3 - 5. Let h = d + 8. Which is bigger: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldltpdqt. Give prob of sequence ddt.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111600?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1206*c**3 - 78*c**2 wrt c?\nAnswer: 7236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 12 - 28. Solve o = 3*c - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 z when three letters picked without replacement from oqzpznoqpooqpq.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10004*y - 5*y**2 - 10004*y + 0*y**2 + 3*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2. Let d(a) = 369*a**2 + 421*a**2 - 18*a**2 - 184*a**2. What is d(x(f))?\nAnswer: 5292*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-180)\/(-8))\/(-9))\/(1\/2). What is the remainder when (-632)\/l - 1\/((-15)\/(-6)) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**5*v**2 - 465801*j**3*v**2 - j*v**2 - 2*j + 114754*v**2 - v wrt j?\nAnswer: -20*j**3*v**2 - 2794806*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3821 is divided by 269.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3 + 4 + 3 - 2*b. Let d(o) = 1. Give 10*d(w) - h(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/3 (b) -1 (c) 0.2 (d) 87\/13 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.7271 millilitres in litres?\nAnswer: 0.0637271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 2:15 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + z + 20 = 0, 5*h + 3*z - 12 = 13. Does 29 divide (-82 - h)\/((-6)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 150*b**2 - 1269*b - 758. Determine f(-158).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a factor of 11689200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11446 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 0.1 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -17 (b) 0 (c) -115 (d) -4 (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.696762 kilometers?\nAnswer: 2696762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -804, -782, -736, -654, -524, -334, -72?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 127. Suppose -v + 29 = 5*i - 0*i, -3*v + 57 = 5*i. What is the highest common factor of y and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**2 - b. Let w be k(1). Let r(z) = 3*z + w*z + z - 4*z. Let p(x) = 1. Let m(g) = -g + 3. Let l(n) = -m(n) + 3*p(n). Determine l(r(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 12:55 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 d when three letters picked without replacement from dxddpojxxxbjxpp?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhxv when four letters picked without replacement from qqhhvxoovoov.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2167*b**3*s**2 - 1080*b**2*s + 259948*s**2 - 84*s wrt b.\nAnswer: -6501*b**2*s**2 - 2160*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3519289*v - 3519320. What is p(1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = 88. Let u = d - -26. Let w = u - -7. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.51 + 37. What is h rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8493541?\nAnswer: 7, 727, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 4*k - 7. Let a be r(7). Let j = a + -88. What are the prime factors of (j\/10)\/((-10)\/25)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-7) - (-62)\/(-14). Let p(l) = -l. Let i be p(5). Let m = i - w. Is 1\/6 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 19*t + 4. Let h(j) = -5*j - 1. Let o(c) = 6*a(c) + 22*h(c). Let y be 3\/9 + 26\/3. Suppose -r = -4*r - y. What is o(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/5 - 16*y**4\/5 - 44*y**3\/5 - 48*y**2\/5 - 18*y\/5.\nAnswer: -2*y*(y + 1)**2*(y + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5072 + 5066.031. Let u = -5.57 + -0.75. Let g = u - i. What is g rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20399*a + 20387*a = -60 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*o + 20 = 0, 0 = -3*b + o - 4. Suppose 3*f + b*f = 12. Suppose 0 = f*l + 4*t - 191 - 153, -5*t = -l + 116. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h = s - 2, -s = 2*h. Which is the second smallest value? (a) h (b) 5 (c) -3\/7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -295629952185?\nAnswer: 295629952188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, o: 5, t: 5}. Give prob of sequence cto.\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 11, k: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 15. Let v(z) = 4. Let q(p) = -f(p) + 3*v(p). Determine q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -102 in ascending order.\nAnswer: -102, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcijiwiiw. Give prob of sequence jic.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 192340425 divided by 7693617?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -68, -24, 20, 64, 108, 152?\n\"Answer: 44*a - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 408 and 1496?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/73658 - 2610283\/5666. Suppose a = k + 459, 4*k - 4*a + 2297 = -k. Let p = h - k. Do p and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 2*b - 3*b)*(-2*b**4 - b**4 + 6*b**4) + 13*b**5 - 5*b**5 + b**3 + b**3.\nAnswer: 11*b**5 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2569 divided by 1.\nAnswer: -2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 702 - 1386 + 697 + 2*c + 4*c**2 + 0*c + 0*c + 2*c**2 + (-5*c**2 + c**2 + 2*c**2)*(-1 + 0 - 1).\nAnswer: 10*c**2 + 2*c + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/54)\/(28\/(-8) + 3)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 4136 = -19*f + 5*v, 0 = -5*v + 10. What are the prime factors of f?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 15*y = 51 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l - 35. Let b be j(8). What is the remainder when 94 is divided by 1\/((6\/30)\/(24\/b))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = y + 5*y. Suppose 4*b + 3*u = 2*u + 4, 4*b + 12 = -y*u. Calculate the greatest common factor of b and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2770879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(325\/8)*(-3120)\/64?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -1\/3, -3, 1\/2348, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4704000 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyjyyyjypy. Give prob of picking 1 y and 1 j.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**3 + 7*x**3 + 13*x**3 - 3*x**3.\nAnswer: 14*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**5 - 16*t**3 - 8*t**2 + 12*t + 8.\nAnswer: 4*(t - 2)*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhcyrhhccycczzhcyh. Give prob of picking 1 y and 1 r.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 2 - 57)*(-2*i - 21*i + 0*i)*(0*i + 0*i - 2*i**3) as d*i**4 + p + c*i**2 + a*i + r*i**3 and give d.\nAnswer: -2392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + 32. What is the remainder when j is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 5 + 3*a - a)*(2*a**2 - 4*a**2 + 3*a**2) + (-5*a**2 + 2*a**2 - 19*a**2)*(6 - 1 + 2*a - 4).\nAnswer: -39*a**3 - 27*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42\/(-4))\/3)\/((-4)\/(-24))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -27*b**3 + 19*b - 3. Let g(a) = 37*a - 6 - 133*a + 118*a**3 + 18*a**3 + 22. Let l(n) = -16*f(n) - 3*g(n). Find the second derivative of l(o) wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749877 to the nearest integer?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/87 in 0.46, -5\/6, -2\/7, -2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 24. Is s bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 2, v: 4, w: 6, y: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32776*v**2 - 32771*v**2 - 32783*v**2 - 32778*v**2 + 131105*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 276*t - 996*t + 4912*t + 3524*t in the form p + j*t and give j.\nAnswer: 7716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38476627 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 2, w: 3, v: 1, p: 2, j: 4}. Give prob of sequence jpwc.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p - 25. What is l(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-130)\/36 - -3 - (-12)\/27. Which is the smallest value? (a) f (b) -1\/3 (c) 2\/11 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 85\/25 - 14\/35. Suppose -w*q = m + 13, 12*m + q = 8*m - 8. What is the nearest to m in 0.5, -3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12505543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b - 13\/3*b**3 + 0 - 15*b**2. What is the first derivative of t(q) wrt q?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + (sqrt(396) - sqrt(396)*-2*-6))) + 2*sqrt(396)*-1)*2.\nAnswer: 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 5*(sqrt(132) - (sqrt(132)*-2 + sqrt(132) + sqrt(132))))\/(-2*sqrt(4)*-2))\/(4*(-3*sqrt(432) + sqrt(432) + sqrt(432))*-2).\nAnswer: -sqrt(11)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392664, -1570286, -3532990, -6280776, -9813644?\nAnswer: -14131594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -143\/190?\nAnswer: -143\/190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(325))**2*4.\nAnswer: 120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 278 = -263. Solve j - 3 = -0*w - w, -i*j = -2*w - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-120))\/(-7*10\/(-875))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -56669 and -96245.915.\nAnswer: -152914.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1491 in -5671, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 325216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1794062 plus -301683?\nAnswer: -301682.8205938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1016588)\/(-14) + 496\/868 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2668 divided by 46\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 162, 209, 256, 303, 350, 397?\n\"Answer: 47*t + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 584*p**2 + 6*p - 6. Let c(v) = 380765*v**2 + 3913*v - 3913. Calculate -6*c(g) + 3913*z(g).\nAnswer: 602*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6580496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/9))\/((n**(-5)*n)\/n))\/(n\/(n**(-5)*n)*n*n**(-5)) assuming n is positive.\nAnswer: n**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -115857990 divided by 54909\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(176)\/sqrt(4) - sqrt(44)) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, e: 5, l: 2, a: 3}. What is prob of picking 1 l and 3 a?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3238 + -3118. What is the remainder when y is divided by 52?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1170 and 18?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9*1161\/(-81)*21\/((-252)\/8)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.07543 rounded to two dps?\nAnswer: 25.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 - 3. Let k(p) = p + 1. Let w be k(4). Let f be b(w). Let y be f - -2 - (-2)\/2. Which is bigger: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36375 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b**5\/3 - 9148*b**4\/3 + 1306304*b**3\/3 + 409516*b**2\/3 - 3919344*b - 981552 = 0. Calculate b.\nAnswer: -3, -1\/4, 3, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 11 = 2*o, -4*z + 3*o + 9 = -2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/1 - -39 - 0.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -l - 3*f, 46*l - 14 = 49*l - 8*f + 7*f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 - 7*u**2 + 31*u**2 - 5*u**2 - 11*u**2 - 9*u**2 - 7*u.\nAnswer: -u**2 - 7*u - 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 10. Let a be p(5). Let w be 18 + a\/(15\/(-9)). Suppose w = 5*v - 0. Solve v*y = -2 - 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 243.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 - 1265*o**2\/6 - 137381*o.\nAnswer: o*(o - 1739)*(o + 474)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**5\/3 - 955*m**4\/3 + 89126*m**3\/3 - 1838900*m**2\/3 - 1018024*m + 658560 = 0 for m.\nAnswer: -560, -2, 1\/2, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*p**2 + 4945700*p + 48919896980.\nAnswer: 5*(5*p + 98914)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 28258*c + 8011. Is o(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -211, -718, -1683, -3256, -5587, -8826, -13123?\n\"Answer: -25*w**3 - 4*w**2 - 12*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*n - 13644 = 17*n - 379*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*g + 1, 5*y - 24 = -g - 3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4 + 1636*k**3 + 9888*k**2 + 64*k - 52736 = 0.\nAnswer: -4, 2, 824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.51608 - -119.926.\nAnswer: 121.44208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/l*l*l*l**(-12) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1552004948 by 581711.\nAnswer: 2668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*b - 4*p, -3*b - 3*p + 20 = 5. Suppose b*u = -9 + 37. What is the remainder when 42 is divided by u - (-3 + 30\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 28. Suppose 3*t = -5 - 7, -r + 10 = -2*t. Suppose 0 = -5*x + h + 114, -16 = 2*h + r*h. What is the remainder when x is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38311 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7454*c - 7450*c + 37063*c - 7449*c - 7263*c - 7450*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (1*sqrt(77) - sqrt(77)))*1 - (sqrt(77) - 2*(sqrt(77) + sqrt(77)*1 + sqrt(77))))*1)\/((sqrt(42) - 2*sqrt(5082))\/(sqrt(18)\/sqrt(3)*4)) + 0.\nAnswer: -8*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**6\/q)*q**(-3))\/(q*q**(4\/3)*q**(-3)\/q) assuming q is positive.\nAnswer: q**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10102 (base 4) to base 16\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 3*b**2 - 6*b - 3. Let h be a(-4). Suppose -35 = -5*z + h*c, 4*z - 5*c - 43 + 12 = 0. Sort -5, -1, z.\nAnswer: -5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11430 by -1905.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-218745)\/2700 - 14) + 95?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -10 (c) 10.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 6168 - 281850 = 0. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p - 2 + 2)*(-19*p**2 + 10*p**2 + 30*p**2) in the form t*p**3 + b*p**2 + f + u*p and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6050)\/1100*(2\/(-6))\/((-1)\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -137*l + 66*l + 70*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 84c6362?\nAnswer: 84c6364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/929 (b) -5 (c) 61 (d) -2 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(6\/5)\/(k\/((k**2*k)\/k))*(k*k*k**(-1\/2)*k)**(4\/21))**(-9) assuming k is positive.\nAnswer: k**(-843\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and 0.3?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-9 - (1 + -10)) + 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2339*w. Let d(h) = h. Calculate d(b(t)).\nAnswer: -2339*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 183 - 82 = 9*c, -5*z - 140 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 349*d**3\/6 + 382*d**2 - 460*d + 1. What is the derivative of o(j) wrt j?\nAnswer: 349","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -40. Factor 6\/5*r + 2\/5*r**h + 4\/5.\nAnswer: 2*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760961218 divided by -4843.\nAnswer: -157126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4 + 2, l = -5*w + 363. Solve -w = -3*r - 58 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 234*w**6 + 29526*w**3 + 13*w**2 - 2*w + 389946.\nAnswer: 28080*w**3 + 177156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 7:50 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**8\/2240 - t**6\/720 - t**4\/12 + t. Let w(j) be the third derivative of n(j). Determine w(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 7*a. Suppose a*z + z = 2. Let d be ((-34)\/(-8))\/(-10 + (-81)\/(-8)). Solve -3*p - d = 5*q, -z*q - 10 + 3 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-6 - 8) + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0*n**3 + 0 - 1\/2*n**2 + 1\/4*n**4 - 2*n + 1\/20*n**5. Let r(v) = -v**2 - 12*v - 13. Let u be r(-11). Give p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48122*g*m**2*u**3 - g*u**3 + 423*g*u**2 - 7*g - 2*m**2*u**3 - 2*m**2 wrt u.\nAnswer: -288732*g*m**2 - 6*g - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 536 - 481. What is the least common multiple of n and 470?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 5 - (26 + -13 + -9).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81901139297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4752 divided by 2210\nAnswer: -2376\/1105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -538 in 3, -9, 509, -3\/8, -0.2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 23271300 to the nearest 100000.\nAnswer: 23300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 10775.127 to the nearest 10.\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 3. Let t = 145 + -40. Suppose -t = -0*x - 5*x. What is the greatest common divisor of u and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1372\/140 - -38) + -41.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) -2\/123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*y = 23*y - 301*y + 2256 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 1. Let x be l(1). Let j(i) = 85*i - 1. Let q(p) = -21*p. Let f(h) = j(h) + 4*q(h). Let a(b) = -2. Calculate x*a(v) + 2*f(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3650*j**2*l**4 + 4*j**2*l**3 + 34*j**2*l**2 - 20*j**2*l - 2*j*l wrt l?\nAnswer: -87600*j**2*l + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 5*z - 735. Let t = -128 + 96. Let p = t - z. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22023, 22038, 22069, 22122, 22203, 22318?\nAnswer: 22473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(21\/70)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 275521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*o**3*x + 35653*o**3 + o**2*x**2 + 377*o*x**2 wrt x.\nAnswer: -7*o**3 + 2*o**2*x + 754*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + o = 4*o - 3530, 0 = -2*j - 4*o + 1398. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181.00000079 + 181. What is t rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -30. Let z(y) = -y + 85. Let s(i) = 17*q(i) + 6*z(i). Let l(c) = 12*c. Calculate s(l(v)).\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17942 is divided by 486.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 5. Let f be l(8). Suppose 3*d = -2*u + 264, 3*d = -0*d - f*u + 264. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 38*u**2 + 9*u**2 + 17.\nAnswer: -29*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 9*v**2 + 7*v - 8. Let m be g(-8). Suppose m = r - 0*r. Suppose r = -q + 34 - 8. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29.9 + 32.9. Which is the closest to y? (a) 0.5 (b) 2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 11. What is o(10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4949*q*v - 16775*v wrt q.\nAnswer: 4949*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11302001223 (base 4) in base 14?\nAnswer: 2b64b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/5 - 3*w**4\/5 + 13*w**3\/5 + 3*w**2 = 0. What is w?\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b**2 + 52*b**2 - 21*b**2 - 22*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 t when three letters picked without replacement from tbcbatabttttaaba.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1030447, -1029591, -1028165, -1026169, -1023603?\nAnswer: -1020467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -157517 (b) -5 (c) 0.073\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**8\/23520 + o**7\/4410 - 55*o**4\/12 - 23*o. Let j(x) be the third derivative of p(x). Suppose j(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -78.717?\nAnswer: -393.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) + sqrt(153)*-2)*-6)\/(sqrt(9) + (sqrt(54)\/sqrt(24) - sqrt(9)) + sqrt(9)).\nAnswer: 14*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -50.45. Let k = 39 - j. Round k to 0 decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - b + b + 3*b as o*b + a and give a.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -719 - 2?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least 211697986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-16))\/(7\/(-14)). Let m be (0 - 0\/(-1)) + -1. What is the closest to m in 4\/3, i, 10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-5) - ((-6768)\/(-45))\/4. Let m = 241 - 124. Let o = n + m. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -14*z + 152, -36350*s - 4*z = -36336*s - 688 for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*a - 1036*a**3 + 126 - 2*a**2 + 0*a**2 - 127.\nAnswer: -1036*a**3 - 2*a**2 + 70*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.7005 to 1 dp.\nAnswer: -58.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*n - 17809 - 2976 = 506*n + 10695 for n.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, s: 6, d: 4, o: 3, t: 2, j: 1}. Give prob of sequence rjod.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2 + 48408090*x + 195278598120675 = 0.\nAnswer: -8068015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 344559*27\nAnswer: 9303093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 10*y**2 - 7*y + 1. Let u be (-6)\/(-9) - (-32)\/(-3). Let a be h(u). Let d = -33 + a. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4. Suppose -4*l + 16 = -4*b, t = 5*l + 4*b - 2 - 0. Suppose 95 = n + h, 7*h - 380 = -4*n + l*h. Calculate the greatest common factor of 19 and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12 = 38. Calculate the highest common divisor of 110 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166816 and 102656.\nAnswer: 1334528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - h**2 + h - 2. Let k(c) be the first derivative of 7*c**4\/4 + 2*c**3\/3 - c**2 + 3*c - 3. Let u(i) = 2*k(i) + 5*m(i). Is u(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:10 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcooozcbzbbzco. Give prob of sequence cc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000083004 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 16641774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqb when three letters picked without replacement from ibkrrrrqrrrqrrqfrkbr?\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186954.\nAnswer: 2, 541, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 287, -2, 3, -100 in decreasing order.\nAnswer: 287, 24, 3, -2, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2880 in 0.5, -63, 1\/5, -0.4, -3\/5?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(1587\/117438).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -58*i + 6861. Calculate x(76).\nAnswer: 2453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j**2 + 1 - 2 + 2*j + 32*j**2 - j. Calculate the remainder when w(1) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 156880010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1990, -2001, -2014, -2029?\n\"Answer: -r**2 - 8*r - 1981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 2 + 2)*(o**2 + 3*o**2 - 2*o**2) + 2*o**3 - 2*o**2 + 2*o**2 - 5 + 1 + 2*o**3 - 3*o**3.\nAnswer: 7*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 + 147. Let w = d - 88. Let t = 0.29 - 0.09. Which is bigger: t or w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 912?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + -4 + 2 + (-20)\/5. Let f be ((-70)\/(-525))\/((-2)\/12). Which is the smallest value? (a) 5\/4 (b) 1\/2 (c) k (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 851505 - 1841505. Round a to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4563 = 72*i + 5499 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (62\/(-217))\/((-2)\/(-28)) - -3. Sort -5, -102, l in decreasing order.\nAnswer: l, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/30 + 160*i**4\/3 - 102400*i**3\/3 + i**2 - 199. Factor f(s).\nAnswer: -2*(s - 320)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 36*a**3 + 3*a**2 - 18*a. Let u(o) = -2*o**3 + o. Let c(d) = -i(d) + 4*u(d). What is the third derivative of c(x) wrt x?\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from xxqxddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 85347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - b - 5. Let k be m(0). Suppose 5*t = 4*c + 29, -2*c + 16 = -2*t + 28. Put 125, t, k in decreasing order.\nAnswer: 125, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (1 + 1)) + 2. Suppose 5 = -c*v + 3*v. Let z be 2\/8*10*2. Solve v*n + 10 = z*w, 0 = -n - 3*w + 25 - 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.72 + -7.62. Let x = 254 + -156. Let j = -140 + x. Which is the closest to j? (a) 5 (b) 2\/5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2892*-48.4\nAnswer: -139972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/1*(-501424)\/(-39072).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (26 + -6)\/(-1*1). Let w(t) = -t**2 - 18*t + 25. Let s be w(r). Let c = s + 108. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(-20\/3)\/(f**8*f\/(f**(-2\/5)*f)))**(-2\/3) assuming f is positive.\nAnswer: f**(1156\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1976 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c - 3*z - 27977, 13969 = 2*c + 5*z. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 6\/(-2) - -4. Is 21\/5 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**4\/6 + 83*h**3\/6 + 83*h**2. What are the prime factors of g(24)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13668344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/3 - 4416*z**3 + 10479344*z**2 - 30775827328*z\/3 + 3261175351264 = 0. What is z?\nAnswer: 606, 2006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*s + 24*s + 18*s - 1 + 13*s.\nAnswer: -13*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytmt when four letters picked without replacement from ymtyt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - (-13)\/(78\/(-12))) + 1. Suppose -d*q - 3*v = 0, 4*q - 1 = -3*v - 0. Solve 10*y - 21 = -q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8454624 (base 9) in base 12?\nAnswer: 1622041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -1375\/17. Let s = -687\/4 + 173. What is the nearest to -0.2 in -2\/31, i, s?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61549554?\nAnswer: 2, 3, 11, 17, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/691914528 and 65\/24.\nAnswer: 691914528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 185\/4 + -46. Let p = 7 - -2. Let t = 13 - p. Which is the nearest to v? (a) -1\/3 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229379625?\nAnswer: 3, 5, 41, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1650 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/6 - 245\/(-1500) and -101\/300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.45 and 0.2982845.\nAnswer: -0.1517155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 23*f + 42. Let q = 427 - 449. Let k be w(q). Solve -5*b + s = 19, 5*b - 5*s + k = 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 - 214*o**3 + 2674*o**2 - 6554*o + 4092 = 0. Calculate o.\nAnswer: 1, 2, 11, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -d**6\/75 - 4*d**5\/5 - 573*d**4\/50 + 104*d**3\/3 - 676*d**2\/25 + 125. Factor u(q).\nAnswer: -2*q*(q - 1)**2*(q + 26)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -4. Calculate the highest common factor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, 166, 3.2, -1\/4 in descending order.\nAnswer: 166, 3.2, -2\/39, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 10, 2*r - 177 = -2*m - 173 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 65*i**4\/8 - 83*i**3\/6 - 2*i**2 + 165. What is the thousands digit of w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 362*y**3 - 1564*y**3 + 14 - 17.\nAnswer: -1202*y**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1186 = 197*s + 4*m, 2075*m - 13 = 2*s + 2076*m for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + 39. Let x = c + -181. Let r be (0 + 2 + -1)*9. Are x and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 0\/1 - 4. Let p = n - -1. Which is the biggest value? (a) p (b) -1\/3 (c) 1\/2 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**5 + j**5 + 10*j**5)*(2 + 7 - 12).\nAnswer: -39*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 23 - 47 = 0. Let c = 30 + w. Let h = 21 + c. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 751*f + 4365. Calculate v(-6).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1029992 or -1029928?\nAnswer: -1029992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.0365 + 0.0365. Suppose -4*g = g - 5*l + 30, 0 = -2*g - 3*l + 3. Let h = 33 - 131\/4. What is the second smallest value in h, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*c**3 + 21*c**3 - 153*c**3 + (-4*c + 4*c + 3*c)*(11*c**2 + 54 - 54).\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + 3*w - 6. Suppose -3*v - 3 - 15 = -3*j, 0 = 4*v - 5*j + 28. Let q be ((-8)\/(-2)*-2)\/v. Calculate s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/13 at most as big as -0.0841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 795*k**2 + 842*k**2 + 834*k**2 + 11*k**3 + 836*k**2 - 25*k**3 - 3310*k**2.\nAnswer: -14*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/1)\/(20\/(-40)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -2*a**6\/15 - 44*a**5\/25 - 42*a**4\/5 - 72*a**3\/5 + 54*a**2\/5 + 324*a\/5 - 650. Factor o(l).\nAnswer: -4*(l - 1)*(l + 3)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 d when four letters picked without replacement from {h: 3, l: 1, p: 1, k: 1, q: 3, d: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 17 = -7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -75*c + 77*c - 1143866, y = -c + 571936. What is c rounded to the nearest ten thousand?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 178313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 191107934*g**4 - 101282138*g?\nAnswer: 2293295208*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*a**2 + 312\/5*a + 6084\/5.\nAnswer: 4*(a + 39)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 12 + -12 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 119*b - 11. Let o(c) = -29*c + 3. Let h(i) = 11*o(i) + 3*z(i). Let r(f) be the first derivative of f**2\/2 - 1. Determine h(r(p)).\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2 = 7*l. Let u(r) = -11*r**3 + 4*r**2 + 5*r + 3. Is u(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 390 = -16*k. Calculate the remainder when k is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**8\/6720 + n**6\/360 + n**5\/120 + 7*n**4\/12 - 2*n. Let u(z) be the third derivative of l(z). What is u(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.105409.\nAnswer: -0.0527045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4040255887032249 - 209109261401831354705039\/51756440. Let n = 11\/112514 + q. Let a = -3\/230 - n. Put -0.2, 0.2, 5, a in descending order.\nAnswer: 5, 0.2, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-270)*2*2. Sort 2\/13, a, 0 in descending order.\nAnswer: 2\/13, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 80*z**2 - 344*z - 286. Let k(v) = -v**2 - 2. Let o(r) = 5*g(r) - 35*k(r). Find d, given that o(d) = 0.\nAnswer: -68, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbnn when four letters picked without replacement from {b: 1, n: 6, q: 5, h: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 54*p**2 + 101*p - 105*p + 29*p**2.\nAnswer: 76*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 3*s. Suppose 5 = -3*p + o, 5*p = 4*p - 5*o + 25. Suppose s*m - 12 - 3 = p. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-363)\/(-15) + 1\/(-5). Suppose -5*z = -11 - d. Let t be (-2)\/z + 4\/14. Solve t*a - 2*a = 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 26056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -175, -245, -299, -331, -335, -305, -235?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4497 and 132.\nAnswer: 4629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551438090 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: Let q = -7.46 - -7. Let p = 0.459766 + q. What is p rounded to five decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(24)\/sqrt(3) + 2 + sqrt(32) + -5 + (1*sqrt(2))**2).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.8 - 5. Let p = -4.38666 - -0.38666. Which is the closest to p? (a) j (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-8 - -33) + -73?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-1 + (-4 - -3)). Suppose d*p - 42 = -2*u, 0 = 2*u - 4*u - 8. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, x: 3, l: 1, f: 2, o: 3, e: 1}. Give prob of picking 1 x, 1 l, and 2 a.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 121*y + 1673. What is v(-14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 1\/4, -102, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -577*t**2 - 31*t + 157. Let c(q) = 144*q**2 + 8*q - 39. Let z(w) = 9*c(w) + 2*j(w). Is z(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2 + 24 + 6 - 7 - 24*o = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36725.539 - -36709. Let z = -0.039 - w. Let m = z - -5.5. Is m > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**3\/9 + 7190*h**2 + 107290612*h\/9 = 0.\nAnswer: -30602, -1753, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/8 - 31429605*p\/4 - 62859207\/8 = 0.\nAnswer: -20953069, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -49986.7 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 259 = -6*z + 191, 20 = -2*l - 2*z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -12. Let m = -1 + 1. Let r = 4 - 2. What is the nearest to k in 1\/3, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.5, -4, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240041?\nAnswer: 240041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 7*p - 11. Let d be n(-8). Let f be 4\/d*(-9)\/6. Suppose -35 = -3*l - f. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711520.9 micrometers in nanometers?\nAnswer: 711520900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 26. Let b be t\/(2\/((-2)\/2)). Let n be 4\/(-6)*(-6)\/(-4). Put 1, b, n in decreasing order.\nAnswer: b, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*w + 6 = 0, 0*w = -2*d - 3*w + 6. Let n be (3 - (1 - 0)) + -6. What is the closest to 2\/7 in -0.5, d, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13304, -26608, -39912, -53216?\n\"Answer: -13304*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6191, -6190, -6187, -6182, -6175, -6166?\n\"Answer: v**2 - 2*v - 6190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6025, 12051, 18075, 24097, 30117?\nAnswer: 36135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 25. Let u = i + 7. Let g = -3\/46 - 83\/138. What is the nearest to g in u, 3\/8, 3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-6) - 6\/(-9). Let m(g) be the second derivative of g**4\/12 - 7*g**3\/6 + 2*g**2 + 4*g - 126. What is m(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 6) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -11, 0, 4, -5, 18 in decreasing order.\nAnswer: 18, 4, 3, 0, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10832601869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*f + 290*f**3 + f**2 - 18*f - 25*f**3.\nAnswer: 265*f**3 + f**2 + 170*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 129 and 9417.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-5))\/((-48)\/(-400)))\/(10\/10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1278456, -2556912, -3835368, -5113824, -6392280?\nAnswer: -7670736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 - 4.5. Let d = n + 2.9999955. Round d to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129\/516)\/(52\/(-312))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 12*t**2 - 100*t + 14. Let u be z(8). What is the greatest common factor of u and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2179, -8694, -19543, -34726, -54243?\nAnswer: -78094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -1, -0.1, 486.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j*s**3 + 21*j*s**2 + 145*s**3 wrt j.\nAnswer: -3*s**3 + 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-3))\/(-3) - 6\/(-9)*-6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**6\/180 + i**5\/60 + i**4\/24 + i**2. Let t(c) be the second derivative of d(c). Let x(l) = 2*l + 1. Give -4*t(h) + 7*x(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 971\/2 - 474. Calculate the common denominator of -113\/18 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus -604606264?\nAnswer: -604606263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 19 = 3*y, 1 = y - 21*f + 19*f. Let u(h) = -3*h**3 - 4*h**2 - 6*h - 5. Let r(t) = -t**3 - t**2 - t - 1. Give y*r(a) - u(a).\nAnswer: -2*a**3 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1677 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 + 70216*d\/9 - 140440\/9.\nAnswer: 2*(d - 2)*(d + 35110)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 42.9 * 7\nAnswer: 300.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g + g + 16*g - 6*g. Let f(b) = -b**2. Calculate o(f(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i - 12. Let k(u) = 3*u + 10. Let a(p) = 5*c(p) + 6*k(p). Let z(x) = 10*x. Determine z(a(o)).\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 - 26668*z**4 - 919*z**3 + 126*z**2 + 1197916 wrt z.\nAnswer: 60*z**2 - 640032*z - 5514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/((-12)\/(-4)))\/(3\/(-2)). Let m be ((0 - 3)\/(-3))\/(g\/6). Let x = m + 8. Which is bigger: x or 19\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**3 + 8*b**2 + 14*b - 14. Let r(m) = m**3 - 3*m**2 - 5*m + 5. Let i(c) = -4*f(c) - 11*r(c). Let g(a) = a**2 - a. Determine g(q) - i(q).\nAnswer: 3*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x - 10*x + 0*x + x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 33*r**2 - 30*r - 57. Calculate the remainder when 87 is divided by c(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r + 2*r - 7*r)*(2*r - 2*r + 2*r)*(-2*r**2 + 4*r**2 - 5*r**2) to the form s*r**2 + j*r**3 + y*r**4 + v*r + q and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + 546?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 189, -3, -11, 0.1, 3, -63?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/((-2142)\/132))\/((-4)\/(-7)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-8901201.8\nAnswer: -97913219.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/3)\/((-26)\/234). Let d be y\/(-24)*2*502. Round d to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3.9. Let q = -0.1 - l. Let j = -0.2 - q. What is the second smallest value in 2\/7, 4\/5, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/(-6))\/(3\/(-2)))\/((-779)\/82)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -12*x**2 - 267*x = 0.\nAnswer: -89\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-540)\/(-140) - (-1)\/7. Suppose -4*d = p - 2*d + 6, -3*p - j*d = 20. Let g(k) = -35*k - 48. Is 22 a factor of g(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*a - 63. Let x = a + 65. Suppose 20*r - x*r = 0. Solve r = -3*b + 3, -4*z - 1 = -0*z + 3*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 + -1)\/2. Suppose 8*r - 81 = -49. Solve r - w = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 858, 891, 940, 1005, 1086?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(175) - (1*sqrt(175) - sqrt(175))) + sqrt(175) + 2 + sqrt(175) + 4)**2.\nAnswer: 240*sqrt(7) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14073 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -259 - -251. Let m = 7 - -4. Suppose 4*r + 17 = -m. Does b = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/5)*u)**9 assuming u is positive.\nAnswer: u**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:32 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 11*r + 10. Suppose 0*g = 3*g - 27. Let c be a(g). Let l = c + 5. Let w(y) = -y**2 + 3. Give w(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65158776 is divided by 194?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -49*s**2 - 2*s + 2. Let q(i) = i**2 + i - 1. What is a(y) + 2*q(y)?\nAnswer: -47*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**3 + 5*g**2 - 10. Let z(m) = m**3 - m**2 - 1. Let f(u) = o(u) - 6*z(u). What is f(-11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899112301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.23 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/2 of a second?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)\/j**(-5))\/((j\/((j*j**2\/j)\/j))\/j*j**(-9)) assuming j is positive.\nAnswer: j**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**5)*m**(-4)*m)**(-1\/5) assuming m is positive.\nAnswer: m**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3\/(6\/(-8)). Let c be -3*2\/w*2. Solve -2*h - 5 = -c*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101.6*-0.04\nAnswer: 4.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 29 = 3*m - 5*l, 2*m - 5*l - 26 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405169545?\nAnswer: 3, 5, 11, 619, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59938, -479310, -1617594, -3834244, -7488714, -12940458, -20548930, -30673584?\nAnswer: -43673874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -147 - -146.99208. Round m to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-1*(-5)\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*m**4 + 202*m**3 - 1675*m**2 - 267165167*m.\nAnswer: 336*m**2 + 1212*m - 3350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 3*z + 11*z - 6*z - 4*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (8 + -6 + (-5 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 86 = 6*s + 3*w, 0 = -4*w + 8. Suppose 13*g - 19*g = -543 - 129. Calculate the highest common factor of s and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-450)*576\/64\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229 + 229 + 51*m + 0*m + 0*m - 2*m + (m - 1 + 1)*(-2 - 2 + 3))*(4 + 5 - 5)*(m**2 + 2*m**2 - m**2).\nAnswer: 384*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 100401014?\nAnswer: 100401012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 4, -1\/3, 71\/7, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfjjfjhffpfhpfhfx. What is prob of sequence hff?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -485000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + g**2 + 5*g + 3. Let w be v(3). Suppose -c - 2*c = -15. Solve -2*z = 2*b - w*z + 4, 3*b + c*z = -4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9\/5)\/(r**5*r*r)*(r\/(r*r**(1\/4)*r*r*r))\/(r\/(r*r**(-4\/5))) assuming r is positive.\nAnswer: r**(-257\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21210 and 2828.\nAnswer: 42420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 6:34 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2279, -2278, -2277, -2276, -2275?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/23? (a) -2\/5 (b) -0.8 (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffyyfyyffff.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/357 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmrrbrrjbbejmmm. Give prob of sequence jm.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -710*k**3 - 664*k**3 + 1081*k**3 + 449*k + 114*k wrt k.\nAnswer: -1758*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.44 - -102.44. What is the third biggest value in -0.3, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - o)*(2*o + 1 - 3 - o)*(o + 0*o - 4*o - 2*o + 0*o + o + (1 + 5 - 4)*(-2 + 2 - o) + 2*o - 8*o - 2*o).\nAnswer: 14*o**3 - 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6288173 is divided by 264?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -557*h*u**2 + 2*h*u + 22*h - 4516*u**4 - u**3 - 3*u**2 - 834*u + 20 wrt u?\nAnswer: -1114*h - 54192*u**2 - 6*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 5*h**2 - 147*h - 236. Calculate v(-15).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*g + 518 = -777. What is the remainder when (-1242)\/(-15) - (-1)\/5 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21413 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6341.3804 times 0.2?\nAnswer: -1268.27608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*g - 140 = -215*n + 219*n, -5*g + 4*n = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1843782 divided by 3.\nAnswer: 614594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4885312 and -99\/1526660.\nAnswer: 24426560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/4 - 8*a**3\/3 + 5*a**2 - 7*a + 9. Is g(7) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-8)*(-15)\/(-18)*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 8:35 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9103698.\nAnswer: 2, 3, 19, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2374873847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 24 = -5*m + 2*g, -6 = -2*m - 3*g. Let r(o) = 19*o**2 + o - 1. Let k be r(1). Solve -5*l - k - m = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 2.894991.\nAnswer: 5.894991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g - 8. Let b(o) = 2*o - 19 - 20 + 37 - o. Calculate 9*b(w) - 2*x(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 252134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 165341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 9*b - 2. Let v(m) be the second derivative of m**4\/4 + 19*m**3\/6 + 5*m**2\/2 + 6*m - 23. What is -2*v(h) - 5*w(h)?\nAnswer: -h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - h = -3, 2*f - 4*h - 163 = -151 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1088)*-2 - (1 + -1 + sqrt(1088))) + (sqrt(1088) - (1 + sqrt(1088) + -4)**2) + 2*(-1 + sqrt(1088))**2.\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by -17847.\nAnswer: -37\/17847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**2. Suppose -3 - 83 = -43*h. Let s(g) be the second derivative of 0 + 0*g**h - 2\/3*g**3 - 16*g. Determine s(d(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*s + 9318221 - 9311773 = 0 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2844\/(-5))\/(-9)*(-10)\/(-4). Suppose -w + q - 22 = -2*h, 4*h - 304 = -2*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 515\/(-75)*3 - -7 - (-10 + 1)\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**4 + 6*s**4 + 3*s**4 - s**4 + 4 - 4 + (-4*s**4 + s**4 + 2*s**4)*(-3 + 2 - 1) as v*s**2 + y + o*s**4 + m*s**3 + c*s and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c + 7. Let i = -3 - c. What are the prime factors of (i\/6)\/((-2)\/(-189))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90985397539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -424, -984, -1768, -2776, -4008?\nAnswer: -5464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 1041982916.\nAnswer: 1041982919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-8))\/(1\/4). Let o be 1*q\/1 + 2. Suppose 0*g + 0 + 10\/3*g**o + 4\/9*g**2 - 22\/9*g**3 = 0. Calculate g.\nAnswer: 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61942 - -136751. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7418555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(2 + 3 - 4) - 4 + 4 + 2 + 5 + 0 - 3 + 9 - 2 + 6 + 0 + 1 + 0)*(3 + 4 - 4)*(4*g**5 - 4*g**5 + g**5).\nAnswer: 51*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4720*w - 11334*w - 14508*w in the form f*w + a and give f.\nAnswer: -21122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -175632.4 to the nearest 100.\nAnswer: -175600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-460)\/(-60) - 2\/3. Suppose 5*y - 3 = l. Let q(a) = a - a + y*a. Let k(g) = 5*g**2. What is q(k(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 3*z - 10. Let s be g(2). Is 31 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/14 + 13\/(-3) + (-107)\/3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 q when three letters picked without replacement from qdqqqqqqdqqq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(27\/(-6))*6\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g - 5. Let y(u) = -23*u - 14. Let n(w) = 2*w**3 - 4*w**2 + 2. Let s be n(-1). Calculate s*y(o) + 11*k(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -5 - -4) + (2 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vlbl when four letters picked without replacement from vllvllbbo?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1204?\nAnswer: -361.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -14 in decreasing order.\nAnswer: 3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65205 and 11280465.\nAnswer: 11280465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2073053.45 to the nearest ten thousand.\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/3 + -11 - ((-3708)\/186 - -9).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1248, 1145, 1054, 981, 932?\nAnswer: 913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 23) + (1 + 1 - 3 - 735\/135)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 5*b**2 + 7*b - 6. Let o be x(4). Let d = -342 + 346. What is the first derivative of -7*k**4 - 33 + 0*k**d + o wrt k?\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187636 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: 4253 (base 15) to base 12\nAnswer: 8150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 91 = -l + 5*l, 4*l + 3*n + 81 = 0. Let w = l + 37. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) -26488 (c) 2 (d) 4 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + sqrt(637) + 1*sqrt(637) + 5 + 1 + sqrt(637) + 0 - -5*(6*(3 + sqrt(637) + sqrt(637)) + sqrt(637)))*6)**2*1.\nAnswer: 3338496*sqrt(13) + 109511028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*n + 1. Solve -2*v - n = -13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/80)\/(2\/8*-2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -14. Let o be 6\/(-9) + (-2)\/(-3). Let v = o - s. Solve 8 = -0*q - v*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/111 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/1183 and 1\/13.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 43, -96 in decreasing order.\nAnswer: 43, -2, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*x + 26 - 2, -4*y = -2*x + 22 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of p**7\/210 + p**6\/30 - p**5\/5 - 4*p**4\/3 + 32*p**3\/3 + 18*p**2 + 2. Find y, given that u(y) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -780 divided by 130\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 0*s - 8 + 0 + 0 + s. Suppose -5*d = 3*x - 23, -4*d = -2*x - 0 + 8. Give r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 + (162 + -85 - -76).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463075198 divided by -564038.\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32257, -64429, -96601, -128773, -160945, -193117?\nAnswer: -225289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13 - 2*l + 20 - 5. What is a(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**3 + 19*d**2 + 25*d**2 + 19*d**2 - 64*d**2 - 5 to the form p*d**3 + y + o*d + n*d**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 2\/17 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.048 - -0.048. Let g be 1 - 2\/20*4. Which is the nearest to 0? (a) g (b) v (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 23, -3, 6 in ascending order.\nAnswer: -3, -1, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3699977585 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*i + 358, -130*i + 2*c - 288 = -134*i. Factor -2*a**5 + 39015 + 8550*a**2 + 4*a**5 - 4*a**5 - 34425*a - i*a**4 - 3*a**5 - 50*a**3 - 51*a**4.\nAnswer: -5*(a - 3)**3*(a + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4 - 44*t**3 + 312*t**2 - 656*t + 448 = 0. Calculate t.\nAnswer: -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 102 - -890?\nAnswer: 992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 643. Suppose 3*f + 71 + d = 0. Let c = -82 - f. Does 22 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*t**3 - 2376*t**3 + 7*t + t**5 - 5573*t**2 + 79 + 0*t**5 + 5578*t**2 wrt t.\nAnswer: 60*t**2 - 13596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79010 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 5584040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 7*k - 5. Suppose -3*d = -14 - 1. Suppose -m + d*f + 4 = 0, 3*m + 29 - 5 = -3*f. Let v be (-1)\/(3\/m)*-2. Determine p(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*k + 4, -t + 0*t = 4*k + 1. Let n(y) = -31*y**3 - 2*y**2 - y + 1. Let u be n(1). Sort t, -2, u in ascending order.\nAnswer: u, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 41 + 67 = 0. Solve -s*k - 18 = -4*a, 2*a - k = -2*a + 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49434, -49880, -50326?\nAnswer: -50772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2. Let q(u) = u**2. Let n(g) = 6*p(g) - 11*q(g). Let y(m) = -28*m**2. Calculate n(y(s)).\nAnswer: 784*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1036298 and 0.2.\nAnswer: -207259.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 7*a**2 + 6*a - 1. Let k(w) = -w**3 + 4*w**2 - w - 4. Let l be k(2). Suppose -l*v + 7*v - 210 = 0. Suppose -v = 8*h + 6. Give z(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -59\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 47*d + 12. Let n be i(-24). Let x(h) = h**2 + 10*h - 20. Let q be x(n). Let f(y) = 5*y + 5. What is f(q)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 2*p + 0*p + (0 + 3 - 1)*(p + 4*p - 3*p) - 45376 + 337*p + 45376.\nAnswer: 339*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7144*f - 7144*f + 173*f**3 - 129*f**2 wrt f.\nAnswer: 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/120 + n**5\/15 + n**4\/24 - n**3\/2 + 3*n**2. Let u be v(-3). Suppose -5*p = -u*p - 42. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1 + -2*3 + (-18 - -26)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4942 + 4949. Which is the nearest to -0.9? (a) -9 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 + 23. Let j be 10 + (8\/o)\/((-1)\/(-6)). Suppose -5*x + 4 = -c, -3*c + j + 23 = -x. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a - 879*a**2 + 246*a**2 - 408*a**2 + 2.\nAnswer: -1041*a**2 - 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.8 + 22. Let l = 0.01 - -1.19. Let p = l - r. Which is the smallest value? (a) -1 (b) 0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 4*r)*(r**2 - 9*r**2 + 7*r**2) + ((-3 - 1 + 2)*(5 - 3 - 7) + 1 - 4 + 2)*(-r**3 - 4*r**3 + 3*r**3).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 9552*n - 58 - 53 + 165.\nAnswer: -9552*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52499 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2763 or -109?\nAnswer: -2763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0, -1\/19, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/842 and 9\/5.\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 6:52 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1534?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 5*o**2 - 12*o + 28. Give k(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21364669, 21364654, 21364635, 21364612, 21364585, 21364554, 21364519?\nAnswer: 21364480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 48.12. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225063 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 140 - 5*w + 33*w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -0.045?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Calculate the remainder when s\/(-6) - 138\/(-4) is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526534 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 9. Let k be d(11). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 305, 329, 339, 329, 293, 225, 119, -31?\n\"Answer: -f**3 - f**2 + 34*f + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 20122?\nAnswer: 20200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12363834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/((-3)\/1) - -5. Suppose -s*a = -32 + 24. Let r(m) = a*m**2 + 0*m**2 - 2 - 2*m**3 + m**3. Determine r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -2.\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1736427.3\nAnswer: -8682136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2. Let l(h) = 5*h**2 - 6*h**2 + 3*h - 3*h. Calculate u(l(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*f + 1121 = -217*f. Let q be (-1 - -3)\/(-2) - -66. Let d = q - f. What is the highest common factor of d and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 22*b - 56. Determine y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - 5. Let n be (-1216)\/(-288) - 2\/9. What is the nearest to 2\/9 in b, -0.4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 184*i*o**2 + 5*o**2 - 33 wrt i?\nAnswer: 184*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -5, -33, 1281, 1 in decreasing order.\nAnswer: 1281, 25, 1, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -1241414?\nAnswer: -1241413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -9*b**4\/4 + 13*b**2\/2 + 8. Find the second derivative of c(p) wrt p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**3 + 280 - 513 - 831)*(5 - 6 + 0) in the form b*k**2 + t*k + p + x*k**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 16) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 114 = 26. Suppose -5*x + 10 = -x + 2*d, 3*d = 4*x - f. Let q = 8 + x. Solve 49 = -4*a + 4*k + q, -3*k + 12 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 - -116.55. Let a = 9.01 + w. Round a to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69)\/(2 + -3) - (-18 - -23). Find the third derivative of -23*n + 179*n**4 + i*n - 11 + 4*n**4 - 41*n - 3*n**2 wrt n.\nAnswer: 4392*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11891*a - 4887184. Calculate w(411).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*s**4 - 50*s**3 - s**5 + 207*s**3 + 18*s**4 - 50*s**3 - 111*s**3 + 5468*s**2 wrt s?\nAnswer: -60*s**2 + 1032*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h**2 - 6*h - 3. What is the units digit of s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 1815786 - 1817595 = 0 for o.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 7, 5 in decreasing order.\nAnswer: 14, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 270386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 40*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n + 16, -4*n - 1 = 5*h. Differentiate -760*q**h - 19 + 263*q**3 - 30 + 328*q**3 wrt q.\nAnswer: -507*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 less than -196\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 74*s**2 + 570*s + 13. Calculate u(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 577, 4270, 14165, 33364, 64969?\n\"Answer: 517*a**3 - a**2 + 77*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8635050 and 2232.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1969 divided by 40?\nAnswer: 1969\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000436237 to six decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from bbybbymmybbpmmypbbp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -439175 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*w = -2*y + 132*w + 10, -w - 19 = -y. Solve 0 = -y*h + 8 - 32 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1486*p**2 + 5862*p**2 - 5*p + 3636*p**2 - 5*p.\nAnswer: 8012*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 - -41. Let c = -127 - o. Put -5, 4, c in decreasing order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3586 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -233 + 208. Let a be (-3)\/(3 - (-96)\/(-33)). Let w = k - a. Solve 3*z + o + 7 = -3*o, 2*o = -w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -2*c - 15, -5 = -2*c - 0*x - 3*x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 - 17 = 0. Suppose 0 = -5*c + 2*y + 17, 0*c - 3*c = -2*y - 11. Calculate the smallest common multiple of q and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**4 + 6*l**3 + 9*l**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:50 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 5, 6, 44, -0.3 in increasing order.\nAnswer: -0.3, 1\/8, 5, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-2))\/(80\/16)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1056.9 (b) -0.1 (c) 2\/3 (d) 2\/9 (e) 0.0615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 - 66. Suppose 2*l + 13 = 3*f + b, 5*l = -f + 5. Let d be (19 + -27)*(-6)\/8. Solve -l*h + 0*h = d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -122157561?\nAnswer: -122157567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1234030 and 370209.\nAnswer: 3702090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27527\/5 + 5505. Which is the nearest to o? (a) 2 (b) 57 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(42\/4)*-4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 6*v = -4*i - 12, -9 = 3*i + 3*v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246422385.\nAnswer: 3, 5, 11, 165941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3093641 divided by 52?\nAnswer: 3093641\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 4\/3*p**3 + 2*p**2 - 1\/4*p**4 + 1 + 6*p. What is the units digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u - 5*d - 5, -2 = 2*u + 2*d. What is the remainder when 12*(7\/4 + u) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*s + s**2 - 2*s**2 + 309*s + 6*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 22825744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wddqtotof. Give prob of picking 1 q and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 687?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 264637317, 264637314, 264637311, 264637308, 264637305, 264637302?\n\"Answer: -3*b + 264637320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1102127 divided by -331\nAnswer: -1102127\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20193577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 226*y**2 - 5*y. Let x(p) = -339*p**2 + 7*p. Calculate -7*b(q) - 5*x(q).\nAnswer: 113*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 greater than -310?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d - 95 = 69*d. Is d > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1039, 0.29, -25, 2\/5, -0.5 in decreasing order.\nAnswer: 2\/5, 0.29, -2\/1039, -0.5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*-1286 + 7084\/6072.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 + -187. Let k = 187 - m. Let q = -46 - -69. What is the remainder when k is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + a + 41750 = 4*k, 3*k = -3*a + 62640. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, d: 4, f: 1, n: 4, r: 1}. What is prob of sequence bfnd?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7061, -7958, -8849, -9734, -10613, -11486, -12353?\n\"Answer: 3*n**2 - 906*n - 6158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvnvvnv. Give prob of sequence nvvv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w + 5*l, 2*w = 2*l + 6. Suppose 0 = -5*o + w*s - 10, 0*o - 4 = -3*o + s. What is the first derivative of 0 + 0*j**3 - 1 + 5 + j**o wrt j?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4157140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148497 is divided by 3445?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001025 rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 50*l + 121. Give m(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(4\/3)*n*n*((((n\/(n*n\/(n*n**(-17))*n))\/n)\/n)\/n)\/n assuming n is positive.\nAnswer: n**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 - 4*i + 4. What is w(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*i + 910 = -75*i. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.073 + -8.727. Let z = y + -1.2. Let q = z - -11. Which is the closest to -0.2? (a) -1\/4 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4789 + 18*c + 4797 - 9586 + 5*c**2 + 11*c.\nAnswer: 5*c**2 + 29*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68077693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.3696406 and -1.7?\nAnswer: 3.0696406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 12)\/((16\/18)\/(-4)). Calculate the highest common divisor of j and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -850, -0.15 in descending order.\nAnswer: 0, -0.15, -850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(560)*6)\/(sqrt(21)\/sqrt(3)*6))**2 - ((sqrt(300)\/sqrt(5))\/sqrt(12) - ((sqrt(5)*2)**2 + 5)).\nAnswer: -sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -2 + -1 - (sqrt(147) - -5*(sqrt(147) + 1)))**2*-2.\nAnswer: -7478 - 1120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-5 + (-8 - (-9 + 3)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3*10\/(90\/9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-375*c + 302*c + 1463*c)*(-5*c + 6*c - 3*c + 0*c).\nAnswer: -2780*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364679773 to the power of 1\/3, to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6294 a factor of 455584686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 18. Suppose -12 = 3*s - u*s. Let w = 3 + -1. Which is greater: s or w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - (-4*21\/(-12) + -17). Let g(h) be the second derivative of -2\/3*h**b + 0*h**2 + 0 - 5*h. Let u(y) = 6*y**2. Give u(g(i)).\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d + 2*d. Let o = d + 14. Calculate the remainder when 29 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 6*s**4 - 663*s**3 + 984*s**2 - 327*s = 0.\nAnswer: 0, 1\/2, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11602*m + 10. Let r(l) = l**3 - 3*l**2 - l - 2. Let c be r(3). Let f be o(c). Round f to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 22*p**2 + 100 + 7*p**3 - 3*p**2 - 6*p**3 + 34*p.\nAnswer: p**3 + 40*p**2 + 34*p + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -21*g**2 + 1051*g - 47. What is v(50)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and 22801.814.\nAnswer: -706856.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 11910?\nAnswer: -11910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 417100*h**2 - 10009968*h - 60058944.\nAnswer: -(h + 12)**2*(h + 417076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, k: 3, z: 2, q: 3, p: 6}. What is prob of picking 1 k and 2 z?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -355.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*a**4 + 1415 - 1415 + (a**3 + 0*a**3 + 0*a**3)*(7*a - 3*a - 2*a))*(-a + 5*a + a).\nAnswer: -395*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 = 15. Let q = a - -1. Let h = -8 - -8.2. What is the nearest to q in h, 2, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 2*b**2 + b. Let o(x) = x**3 - 4*x**2 - 2*x + 11. Let c be o(5). Suppose -15*y - c = -2*y. What is p(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/73840 and 155\/312.\nAnswer: 221520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 237078?\nAnswer: 237074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 467, 915, 1337, 1733, 2103?\n\"Answer: -13*h**2 + 487*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 332, 590, 914, 1304?\nAnswer: 1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:01 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 23*f**3 + 13*f**2 - 9*f + 2. Let r(a) = 11*a**3 + 6*a**2 - 4*a + 1. What is 9*r(t) - 4*s(t)?\nAnswer: 7*t**3 + 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -207 and -209 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -3*d**4 + 3*d. Let s(y) = -2*y. What is s(x(k))?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4786 times 0.0085?\nAnswer: -40.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 22. Put -3, k, -4 in decreasing order.\nAnswer: -3, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 361.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + p**2 - 3*p**2 + (2*p + 0*p + 0*p)*(4*p - 4*p + p))*(-p**3 - p**3 + 3*p**3 + (-p**2 + p**2 - 3*p**3)*(5 - 1 - 2)).\nAnswer: -20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96576 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 277293788 by 69323447.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301213 + -1331020?\nAnswer: -1023201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 1) + 26 + -51 - 79\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 4*s + 0*s)*(-2 - 4 - 1) - 3*s - 4*s + 5*s + (0*s + s + 0*s)*(-4 + 28 - 2) + (2*s + 0*s - 6 - 4*s)*(-1 - 5 + 3) to the form c*s + z and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1928\/128 - 15\/240?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, l: 3}. Give prob of sequence mmm.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 8, -2\/191?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, y: 2, t: 2, i: 8, p: 1, a: 1}. Give prob of sequence iti.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-12)*34\/(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + ((-115)\/(-20))\/((-22)\/(-16)). Let s = -20.4 - -20. What is the third biggest value in x, s, -0.11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence err when three letters picked without replacement from xrxxeexxexrxxxerxrr?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6004, -11644, -17338, -23086, -28888, -34744?\n\"Answer: -27*b**2 - 5559*b - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26319*x**3 + 3 + 4 - 26318*x**3)*(x**2 + 0*x + 0*x).\nAnswer: x**5 + 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1548)\/24)\/(1\/6 - 0). Let o = 391 + j. Solve -8 = y + 5*z, 9*z - 4*z - o = 3*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*i**3 + 939*i**2 + 708*i - 204.\nAnswer: 3*(i + 1)*(i + 34)*(9*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4) - 10)*(-66)\/33.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faa when three letters picked without replacement from {f: 15, a: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 23*t - 9 = 22*t, 5*t = -5*p + 15 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w + 19*w + 140 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 + 51*x + 24. Determine z(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-1 - sqrt(768))\/((sqrt(256) - -1*sqrt(256)) + sqrt(4))*6.\nAnswer: -96*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 3)*(0*f**2 + 4*f**2 - 2*f**2) + (3 - 2 - 3)*(f**2 + 3*f**2 - 3*f**2).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 106, 159, 214, 271, 330, 391?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.92404ms in hours?\nAnswer: 0.0001624789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/9 - (-335)\/135 and -83\/36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**7\/525 + 10*y**2. What is n in x(n) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92533995 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -11*v + 2*v. Suppose k = -u + 170, k = -2*k + v. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 6. Let p = -35 - -34. Let b be (2 + 8 - 4)\/p. Let r be s(b). Solve 2*t + 2 - 8 = r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, -2, -2\/9, -0.0206 in ascending order.\nAnswer: -229, -2, -2\/9, -0.0206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 620 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -5*y**3\/3 - 35*y**2\/2 - 30*y + 19. Factor u(k).\nAnswer: -5*(k + 1)*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 18, 256, 652, 1206, 1918?\n\"Answer: 79*i**2 + i - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 18. Give c(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -160\/55682013 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d. Let i(m) be the third derivative of 0 + 0*m**4 + 0*m**3 - 66*m**2 + 0*m - 7\/20*m**5. Determine u(i(j)).\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -29, -47, -67, -89, -113, -139?\n\"Answer: -y**2 - 13*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2363 + -1424. Calculate the remainder when d is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.0717 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -905, -4, 330 in descending order.\nAnswer: 330, 5, -4, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)*h)\/(h**(-14)\/h)*h*h**(2\/29)*h*h**(-15)\/h)**(9\/5) assuming h is positive.\nAnswer: h**(-414\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - ((21 - 17) + -147 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15106 + 15834. What is the highest common divisor of d and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 23844*l + 740128. Give h(-31).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 407*a**2 - 850*a**2 + 2*a + 8*a - 10*a.\nAnswer: -1257*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 508380 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/56*12)\/(((-6)\/5)\/(68\/1190))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92 + 66. Let p = 59 + h. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by (18\/(-8))\/(17\/(-16) + 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -0.5 (b) -0.83 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 52 - 9*i**2 + 2*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 + 1796*r + 3588.\nAnswer: (r + 2)*(r + 1794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (4335\/75)\/(-17))*5\/80.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100908 * 2.882\nAnswer: 290816.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + w - 1. Let u(l) = 7*l**3 + 3*l**2 - 12*l + 13. Let c(d) = -6*m(d) - u(d). Let q be 493\/(-116) + 3\/(-4). What is the tens digit of c(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3674.00070128 - -3674. Round h to 6 dps.\nAnswer: -0.000701","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7 - 2. Let s = -11235 + 11235. Solve s = -2*b + p, 5*p - n + 27 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.471 - 0.471. Which is the closest to m? (a) 10 (b) 0.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.935 - 2. Let h = a + -0.207. Let g = -0.27434 - h. What is g rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(2736) + 5 + -4 - (sqrt(2736)*4 + 3)*3) + 3)**2.\nAnswer: 2112*sqrt(19) + 331120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2689, -5037, -7401, -9787, -12201?\n\"Answer: -b**3 - 2*b**2 - 2335*b - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 45 - 65. Suppose -o - 4 = -w*n - 3, 3*o - 2*n = 10. Calculate the remainder when 11 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 60*l**3 + 1380*l**2 - l - 17. Let z be h(-23). Sort -5, 0, 3, z, 14 in ascending order.\nAnswer: -5, 0, 3, z, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(20\/6)*16\/(-6). Suppose -2*t = -0*c + 3*c - 69, c + v*t = 23. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2717946711910 and 3.\nAnswer: -2717946711907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1536 + -3?\nAnswer: -1539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -0.4, 4 in decreasing order.\nAnswer: 4, 0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30441 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -2 (c) -4 (d) 367.5209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4\/4 - b**3\/3 + 9*b - 1. Let x = -427 - -244. Let z = 183 + x. Determine m(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*g + 3. Is g + -1 + 5 - -628 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -144745419.1 to the nearest one million.\nAnswer: -145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 3913 = -4*l, -26*q = -l - 31*q + 1007. Calculate the remainder when l is divided by 346.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z**(-1\/35)*z)\/z*z)\/z)\/z)**(-6)*z**(-24)\/(z\/z**1))**43 assuming z is positive.\nAnswer: z**(-26832\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -75. Sort 0, -0.2, -4, h in decreasing order.\nAnswer: h, 0, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3366 = -936. Is c a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*(y*y*y**(-2\/9)*y*y*y)\/y)\/y)**3\/(y**3\/((y**(2\/17)\/y*y)\/y)) assuming y is positive.\nAnswer: y**(533\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 2*n + 13. List the prime factors of f(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177938?\nAnswer: 2, 88969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1088)*3)**2 + -4 - (1*(sqrt(1088) + 1)**2 + 5 + sqrt(1088) + 0).\nAnswer: -24*sqrt(17) + 38070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.2 (b) 0.1 (c) 3\/5 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 297.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2 + 3*b + 9.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.3 + 10.2. Let k = -63.1 - x. Let c = -52.041 - k. What is c rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105980 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2265)\/(-46810))\/((-3)\/12).\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 321 (base 4) to base 15\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c, 2*o - 12 = 5*c. Suppose -3*r + 3*x + 15 = 0, -3*x - 1 = -2*r + o*r. Solve -20 = 3*t + r*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 298 - 644. What is the closest to 1\/2 in x, 3\/7, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 14*b**4\/17 + 8284*b**3\/17 + 118578*b**2\/17 - 163804*b\/17 + 36928\/17 = 0.\nAnswer: -577, -16, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 31 - 7 - 1785*l - 10)*(2*l**2 - 1 + 1) to the form g*l**3 + j + h*l + p*l**2 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9550 times -0.2\nAnswer: 1910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -48*r + 44*r. Let t be (-5 - -2) + r - -2. Solve 2*c = -t*z - 28, -3*c = -0*c - 3*z - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1, -3, -33, -107, -243, -459, -773?\n\"Answer: -3*x**3 + 5*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (8 - 7)\/(2\/824)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 27.18. Let r = -98.82 - l. Let u = r - -98.5. Which is the second biggest value? (a) 42 (b) 0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74711 is divided by 377.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 16 = 5*k, -1103*k + 1108*k - 18 = -2*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/154 and -103\/1428.\nAnswer: 15708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823045267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -344 and 5?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*k = 3*g + 416, 0 = -3*g - 4*k - 376. Let y = 186 + g. Suppose 0*i + 44 = 3*s - 2*i, -4*s + 5*i = -y. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*y - 9233 - 2609. What is the greatest common factor of y and 1337?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (130\/208)\/((-195)\/(-2496))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3 = -m - 3*p, 5*p - 9 = -2*m. Let k = -18 + 13. Which is the second smallest value? (a) m (b) -0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 526 a factor of 323862449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2109840?\nAnswer: 2, 3, 5, 59, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 2. Let l be t(-10). Suppose -l = 2*v - 3*v. Suppose -4*m - h = -v, -3*m - h + 9 = h. Solve -b + m + 1 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14925, -14992, -15055, -15114, -15169, -15220?\n\"Answer: 2*f**2 - 73*f - 14854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -137.2 + 137.3. Which is the third biggest value? (a) d (b) -0.1 (c) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 26\/5 of a milligram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.000752nm to centimeters.\nAnswer: 0.0000006000752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -74*u + 5. Let a(b) = -36*b + 3. Determine 7*a(o) - 4*j(o).\nAnswer: 44*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3094*h**3 - 1042*h**3 - 1030*h**3 - 1035*h**3.\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4*c = 11, 6*h = 8*h + 2*c - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104\/7 + 326\/21. What is the closest to 0.1 in k, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(88) + (sqrt(88) - (sqrt(88) - (sqrt(88) + -1*sqrt(88) + sqrt(88)))))\/sqrt(2))\/(sqrt(400)*3))**2 + 1.\nAnswer: 36\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98315 is divided by 722.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -2\/391, -13, 4?\nAnswer: -2\/391","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3)*-2 - (sqrt(300)*-2)**2) + (-1*sqrt(27) + -4)**2.\nAnswer: -1155 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 8*u + 10. Let m be c(-7). Let t = -516 - -520. Let a(j) = -j + m*j + t - 11. What is a(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28355 + -8?\nAnswer: -28362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 3*g + 7, 0 = 3*w + 5*g - 9. Solve -4*i - 2*f = 4, -79*i + w = -80*i - f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50 - 60) + 0 + 16\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 26*i**2 - 27*i - 68. Calculate r(-25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 1:36 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + b + 8, 5*b = -2*r - 20 - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/19)\/f*f*f**(-1\/5))**47\/(f\/f**(2\/9)*f*f*f**2\/f*f**(1\/7)*f*f\/f**1*f*f*f) assuming f is positive.\nAnswer: f**(-133274\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (91700\/(-560))\/((-10)\/336)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2577200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 744 * 18.5.\nAnswer: 13764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -430 - -434. Solve -3*d = 16 - m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -336654 (base 8) in base 4?\nAnswer: -123312230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28262671?\nAnswer: 19, 1487509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1364, 1394, 1462, 1586, 1784, 2074?\n\"Answer: 3*a**3 + a**2 + 6*a + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**5\/25 - 3*k**4\/10 + 2*k**3\/5 - k**2\/5 - 6. Solve o(w) = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2*p**3 - 12*p**3.\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -11, 1\/5, 940, -0.41?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*t - 43*t + t - 33*t + 2.\nAnswer: -57*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 (base 8) in base 5?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 13. What is the derivative of 8*l + 4*l**3 - 2*l + 1 - v*l wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 256\/312 - ((-12)\/(-39))\/2. What is the third biggest value in -0.01, l, 0.02?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**6\/120 - n**5\/15 + 7*n**4\/24 - n**3 - 16*n**2. What are the prime factors of m(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*z - 160. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.004 + -0.204. What is the biggest value in -8, 2\/5, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 112 = 132 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, t: 2}. Give prob of sequence tot.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -587 + 939. Let c be (-16)\/8*1047\/6. Let h = -317 - c. Calculate the highest common divisor of a and h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 1 + (sqrt(171) + 5)**2.\nAnswer: 37*sqrt(19) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 34405*v**2 + 2214530*v + 4566720.\nAnswer: 5*(v - 6816)*(v - 67)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:38 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-10 - -10 - 0) - -12.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 4 = 4*c. Suppose 8 = -0*p + 2*p. Suppose -8 = -p*k, 4*k = -4*i + 5*k + 10. Which is greater: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -121*g**6\/120 - g**5\/60 + g**3\/6 - 2*g**2. Let c be w(-1). Let s = 5 + 6. Calculate the highest common factor of c and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2 + 6*l + 25. Let r(z) = -7*z**2 + 13*z + 53. Let q(h) = 9*a(h) - 5*r(h). Determine q(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 812717.5 days?\nAnswer: 116102.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -22019*m - 6781858. What is x(-308)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8642\/(-5916) - (-6)\/4.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/4 (c) 1 (d) 0 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 7)*4\/(-10). Let w(k) = -d - 1 + 2*k - 2. Suppose -6 = 3*u - 4*s - 22, -2*u = 2*s - 6. What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 30985 - 30975 = 3*y, 30 = y - 4*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1351417, 2702836, 4054253, 5405668, 6757081?\nAnswer: 8108492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -41*j - 27. List the prime factors of h(-9).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -71, -37, 25, 121, 257, 439?\n\"Answer: n**3 + 8*n**2 + 3*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -3, 6, 19, 36?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 2 p when four letters picked without replacement from {b: 4, n: 2, p: 2, h: 1}.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from {e: 2, r: 2, m: 2, a: 1, h: 5, p: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 83316 divided by -27772\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*v + 60*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*k = 31, -2*g + 15 + 15 = 5*k. Suppose -8*v + 50 = g*o - 13*v, -5*o - 5*v = 0. Suppose 0 = 2*n - 7 - 9. Solve -n = o*u + 17 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73311 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 587 by 47.\nAnswer: 587\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 33695 = -t + 36*d, 269560 = 8*t + d. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -9. Let a be 34\/k - 4\/(-8). Let x be a\/12*6*1. Let d(l) = l**3 + 5*l**2 + 3*l + 3. What is d(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 t, and 1 w when four letters picked without replacement from {j: 2, w: 11, h: 1, t: 2}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 1432*x + 50044. Determine k(-34).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 804 + -143. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*u - 7 - 1, -1 = c + 5*u. Suppose -4*a + 15 + 1 = 0, y - 16 = -c*a. Suppose 5*o - 1 - 9 = y. Solve 7 = o*b - q, -2*q + 20 = 3*b - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 5*g**2 - 7*g - 5. Give u(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1347 != 13469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**2 + 0*g**2 - 2*g**2 + (0*g + 0*g - 2*g + g + 1 - 1 - g + g - 3*g + 2*g + g - g + (-4 + 1 + 6)*(3*g - 2*g + g))*(0*g - 2*g + 3*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 166*z**2 + 2311*z - 13328. Calculate y(-150).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:19 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 4 + 18)\/((-5)\/(-10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - -90. Let c = 295 - q. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by -7.\nAnswer: -183\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -2 - 132*f + 0*f**3 + 0*f**2 + 5\/4*f**4. Let g(h) = 18*h. Give g(k(j)).\nAnswer: 270*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 - 3*v - 1. Calculate o(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 4 (c) 820 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 9*p**2 - 10*p + 7. Let g be r(10). Let b be 1*(g\/(-14) - (-1)\/2). Factor 0*f + 0*f**2 + 3\/5*f**5 + 3\/5*f**3 + 6\/5*f**4 + b.\nAnswer: 3*f**3*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160533.\nAnswer: 3, 17837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + 5*s + 5. Let b(o) = 3*o**2 - 4*o - 4. Let p(t) = -5*b(t) - 4*m(t). Let v(g) = 22*g**2 - 5*g. Give p(v(j)).\nAnswer: 484*j**4 - 220*j**3 + 25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by 5575.\nAnswer: -33\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1878499?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3102737067.\nAnswer: 3, 9967, 34589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -25 - (-6 - (-14 + 5 + -3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-4)\/24) - -48. Let g = 6 - 0. Suppose g*h - 168 = -p. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**4 + j**3 - 2*j + 2. Let b(n) = -8*n**4 + 24*n**3 + 19*n**2 - 27*n - 14. Let d(l) = 4*b(l) - 12*y(l). Factor d(c).\nAnswer: 4*(c - 1)*(c + 1)**2*(c + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -1812395.\nAnswer: -2\/362479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9836*l - 766*l = 4248*l - 891000 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*((-2*sqrt(440) - sqrt(440))\/sqrt(8) - (1*sqrt(550))\/sqrt(10))\/(sqrt(15)\/(sqrt(12)*3)).\nAnswer: 5 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1056*s - 56 = 1062*s - 2126*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 4. Let s be l(6). Let p(f) = -9 + s*f - 12 - 9*f + 4. Let x be p(12). Which is the closest to 0.2? (a) 2 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/3 - 121*g\/3 + 61\/3.\nAnswer: -(g + 61)*(2*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*p - 437 = -142*p + 1299 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36471?\nAnswer: 3, 12157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 2*g - 12, x - 43*g + 38 = -26*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40064, 40068, 40082, 40112, 40164, 40244, 40358, 40512?\nAnswer: 40712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38931921*m**2*v**2 + 20084*m*v + 192*v**2 wrt m?\nAnswer: -77863842*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 6*t - 95. Is o(50) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Let d(b) = -6*b - 4. Let k(l) = d(l) + 5*q(l). Suppose -114*f = 27*f + 38*f + 179. Let i(v) = -4*v**2 - 10*v + 10. Calculate f*i(t) + 10*k(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 240410433 (base 6) to base 10\nAnswer: 4511541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 1b0a87?\nAnswer: 1b0a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + -0.22. Let q be (2 + 1 - 1)\/(336\/72). What is the closest to -0.1 in q, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 3*t + 6. Give m(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 92, 89, 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49586?\nAnswer: 2, 24793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - 65)\/((-130)\/12).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25370 is divided by 52?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 0 + 22 + -8 + -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 271*v**2 + 27*v - 24. Let h(p) = 55*p**2 + 5*p - 4. Give 2*c(y) - 11*h(y).\nAnswer: -63*y**2 - y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 8*d**2 + d + 1. Let o be v(8). Solve b = -s + 2, b - o = -3*s - 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10930 smaller than -535614\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(1\/13)*(w**(-1\/3)*w)\/w*w**(2\/13)*(w*w**(-4\/3))\/w*((w\/w**(-1\/2))**(1\/91))**(1\/68) assuming w is positive.\nAnswer: w**(-16175\/37128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 273.4 + -238. Let g = x - 35. Which is the fourth biggest value? (a) -0.1 (b) 4 (c) 0.3 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 1. Let t(k) = -8*k**2 + 3*k - 3. What is -2*f(m) + t(m)?\nAnswer: -8*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30432 and 1871040?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1119*v + 2214*v - 1130*v. Give z(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194344 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 1:57 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -145477, -1163755, -3927661, -9310009, -18183613, -31421287, -49895845, -74480101?\n\"Answer: -145469*c**3 + 5*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*m = 69, m - 66 = -3*c - m. Solve -y = -5*t - 0*y + 4, 3*t + 5*y + c = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849290 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 248 - -1?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/(((-6228)\/(-1560) + -1 - 3)\/(-1))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-42)\/(-1 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in -36\/7, 2, 2\/15, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - f**2 + 51186*f - 255773. What is u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4697 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**2 + 3124*u + 162864 = 0.\nAnswer: -1508, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -103*l**7\/210 - 44*l**3\/3 - 3*l**2 + 18*l. Find the first derivative of w(q) wrt q.\nAnswer: -412*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 13*q = 45. Suppose 0 = q*n + 149 - 1229. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2185 is divided by 1076?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-15)\/(-3))\/(-1 + 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3455364 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77939559?\nAnswer: 3, 29, 67, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0. Let v be ((-54)\/105)\/((-378)\/13230) + (-147)\/8. Let t = 757\/5 - 152. Which is the closest to d? (a) v (b) -0.4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 3*o**2 + o**3 - 4*o**3 + 4*o + 2*o**3. Let t be v(-4). Solve 3*a = 5*q + 14, -3*q - 3 - 1 = -t*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 4:25 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23106.\nAnswer: 2, 3, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1774*t + 11400. Is z(0) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*z + 7*z - 4*z)*(1 - 1 + 2*z) - z**2 + 5*z**2 - z**2)*((0 + 0 - 2*z)*(3*z - z - z) + z**2 + z**2 - 3*z**2).\nAnswer: -69*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 132, 91, 48, 3?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 24 + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11373593471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -2 - (17 - 5 - 27 - -8)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*t - 8 = 0, -1 - 2 = -4*x + 5*t. Suppose -s - x*m - m = -12, 0 = -s - 2*m + 8. Which is the third biggest value? (a) 29 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 16.3. Let q = -1.2 + x. What is the third biggest value in 3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + -1 + (3*sqrt(1377) - sqrt(1377))**2 - (-4*4*(sqrt(17) + sqrt(2057) + 0))**2.\nAnswer: -621181 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/111 and 83\/2091.\nAnswer: 77367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 5*l**3 - 20*l + l**5 - 25\/2*l**2 + 5 + 25\/4*l**4. Factor h(i).\nAnswer: 5*(i - 1)*(i + 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 415807?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1814062 - -8692.7.\nAnswer: -1805369.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - 899*k + 904*k - 28, 8*k + 21 = 3*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + 16*y**2 + 178*y + 1127. Calculate j(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 186 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264183*z - 55936*z + 52326*z + 19494*z.\nAnswer: 280067*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2556 or 0?\nAnswer: -1\/2556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1658*-34619.\nAnswer: -57398302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2219878, 2219877, 2219876, 2219875?\nAnswer: 2219874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -220, -227, -238, -253, -272, -295, -322?\n\"Answer: -2*k**2 - k - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 1044?\nAnswer: 1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(252) + 2 + 2 - sqrt(252)) + (-1*sqrt(252)*-4 - sqrt(252)) - (-1*sqrt(252)*-6 + 3)))**2.\nAnswer: -108*sqrt(7) + 2277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 39 + (5 + 31 - 38)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + (-10150)\/15)*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(0\/(-2) - 1). Let x(y) = y - 10. Let l be x(16). Let u = l - w. What is the nearest to u in 2\/3, -1, 0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132522 - 161?\nAnswer: -132683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 2 + 2 - 92 + 92 + 105*v + (-4 + 1 + 2)*(-3*v + 2*v + 0*v) - 2*v + 0 + 0 - 4*v + 0*v + 3*v.\nAnswer: 101*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/5 - 21*r**2\/5 + 198*r\/5 + 216\/5.\nAnswer: -3*(r - 6)*(r + 1)*(r + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -5, 1, -1.16, 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*k = 1690, -2*b + b - 4*k = -540. Suppose 0 = -5*f - 0*f + b. What is the highest common factor of f and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48400 and 14456200.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -9 - -3) + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -166312828*z**3 + 593532174 wrt z.\nAnswer: -498938484*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 9 = 3*w. Let a be 14\/3 + w\/(-6). Solve 2*l + a*j = -14, l - 7 = 4*j + j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -1043\/24?\nAnswer: -1043\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1)\/(-8))*23\/92. Suppose p*o + 8*o = 900. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 - 5 + 4 + 4.\nAnswer: -4*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13600)\/290 + 294\/(-2842).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (24\/(-28))\/(10\/(-14)). Let w = -11995 + 83964\/7. Let y = -1.3 - -2.3. Which is the second smallest value? (a) t (b) 2\/13 (c) y (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 - 3 = 0. Let k = 8 + t. Is ((-38)\/(k - 1))\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*j - 4207042, -69*j + 67*j = -4*n - 2103530. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76551 divided by -56\nAnswer: -76551\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285*j + 285*j - 1397*j + 285*j + 278*j - 58*j**3 + 276*j.\nAnswer: -58*j**3 + 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 0*v**4 + 2*v**4)*(-2*v + 2 - 2) + 0*v**5 - 3*v**5 + 0*v**5 + 1 + 256*v**4 + 339*v**4 + v - 2*v**5 - 1052*v**4.\nAnswer: -7*v**5 - 457*v**4 + v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - 4*u)*(286 + 8*u**3 - 286) + (4*u**2 + u**2 - u**2)*(-3*u**2 + u**2 + u**2)*(2 - 4 - 1).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 312896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**11*c)\/(c*c**(2\/5)*c) assuming c is positive.\nAnswer: c**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*v + 2*v, 2*z = 4*v. Suppose -4*x + 4*w = z, 0*x = -x - 5*w. Let c = -0.081 + -2.919. What is the third smallest value in x, 3, -1\/3, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/2))**35)**(-38) assuming q is positive.\nAnswer: q**(-1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -10313?\nAnswer: 10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*p = 119*p + 41. Calculate the remainder when 901 is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 8*t - 9*t - 12*t + 23*t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 64766 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 540765334 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 1. Let g(w) = 7*w**2 - 7*w + 12. Let k(m) = -g(m) - 6*u(m). Calculate k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/8 - 7*h**4\/2 + 301*h**3\/8 + 1627*h**2\/2 - 5295*h\/2 + 1800 = 0. What is h?\nAnswer: -30, -16, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**7\/35 + 53*k**3\/6 + 2*k**2 - 30*k. Differentiate j(u) with respect to u.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 - 2)*(-18*f - 7*f + 15*f - 2*f**2 - 2).\nAnswer: 16*f**2 + 80*f + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)*d*d**2\/d)**(21\/5) assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 695*r - 689*r - 42 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 172*c + 16007. Determine t(-87).\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i**2 + 6*i - 3. Let b(x) = 17*x**2 - 12*x + 7. Let a(h) = 3*b(h) + 7*r(h). Find the second derivative of a(p) wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**3 - 5502*h - 5517*h + 2*h**3 + 11019*h.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136422 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295 + -291. Suppose 0 = g + 1 - 3. Factor 4*n**g - 30*n**3 - j*n**2 + 31*n**3 - 3*n**2.\nAnswer: n**2*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c\/(c*c\/(((c\/(c**(2\/5)*c))\/c)\/c))*c*c*c)\/c*c)\/(c**(1\/3)*c)*c**5\/(c*c*c*c\/c**(-4\/7)*c))\/(c**(7\/2)*c*c**(1\/13)*c)**(-5\/3) assuming c is positive.\nAnswer: c**(9091\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(u*u\/(u*u*(u\/((u\/u**(-1\/6))\/u)*u)\/u)))))**36\/((u**(2\/39)*u)\/(u**(-2)*u)))**(2\/9) assuming u is positive.\nAnswer: u**(4988\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6\/7 - -43\/42. Let j(g) be the first derivative of 0*g - 1\/4*g**2 + c*g**3 - 1. Determine n so that j(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**2 + 36*l**2 - 24*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h**2 + 0*h**2 - h**2)*(4*h**3 + 2 - 2) - 14*h - 3*h**3 + 14*h + h**5 + (h**4 + 2*h**4 + 2*h**4)*(0 - 2*h + 0).\nAnswer: 3*h**5 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = o + 2*z - 34, 256 = 4*o - 4*z. Suppose 261 - o = 3*v. What is the remainder when v is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -3*g - 113. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/5, -1, 3, -44?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 510, 15.6, -23\/3 in ascending order.\nAnswer: -23\/3, 1\/6, 15.6, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*h - 347 - 3057, 0 = h + 1. Does 63 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let i = -1 - k. Let a be (0 - (i + 1)) + 2. Solve -d - 3*x + 9 = 0, x = d - a*d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*i + 106 + 3156 = 335 - 421 for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 7:48 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*q**3 + 19*o*q**2 - 40*o*q - 9*o + 4*q**3 wrt q?\nAnswer: 6*o*q + 38*o + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (64 - 132 + 47)*(-58 - 106 - 93)*(2 - 2*o - 2)*(-o + 0*o - o) in the form h + m*o + k*o**2 and give k.\nAnswer: 21588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 38*t + 138 = 5*t. What is n in -2\/13*n**4 + 0 + 6\/13*n**2 - 4\/13*n + 0*n**t = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2*2\/(-4)). What is the closest to -2\/9 in 0.5, x, -4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2008*z**2 + z - 12*z**3 + 2013*z**2 + z + 3*z. Let j(o) = 49*o**3 - 21*o**2 - 21*o. What is 21*i(w) + 5*j(w)?\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(1\/3))*r**(4\/5))\/((r*((r*r*r**(-10\/9)\/r)\/r*r)\/r)\/(r*r**(-3\/4))) assuming r is positive.\nAnswer: r**(149\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 5739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1069 or -1068?\nAnswer: -1069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -1236.9352.\nAnswer: 1237.3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*l**3 - 2699*l**3 - 12545*l**3.\nAnswer: -14788*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 3*p**2 - 4*p + 4. Let q be m(1). Which is the biggest value? (a) -2\/7 (b) -0.5 (c) q (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 403*k - 123. Let w be d(-3). What is the common denominator of w\/(-320) - 5 - -2 and -107\/18?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*i**3 - 59 + 2*i**2 + 112 - 2*i**2 wrt i?\nAnswer: -69*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 + 36 + 76*h + 34 to the form b*h + c and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 855?\nAnswer: -2\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 123 + -81. What is the lowest common multiple of 6 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(175) - sqrt(175)) + -4 - (-3 + sqrt(175)*1)) + 0)**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 + 71. Suppose -4*h + 180 = -4*s, 4*h + m*s - 120 = h. Suppose -3*u = -39 - h. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 + 0 = 0. Let m(z) = 1224 - 1224 + t*z. Let d(n) = -2017*n - 9*n**2 + 2017*n. Determine d(m(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 209148.\nAnswer: 41829.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203530 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obob when four letters picked without replacement from {o: 13, b: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 147 + 73. Suppose 3*u = -2*u + j. Let a(t) = -2*t**2 - 18*t - 14. Let i be a(-6). What is the highest common divisor of u and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -299*g + 3. Let l be w(-1). Suppose t - l = -2*b, 0 = t - 3*b + 56 - 338. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -533800*r - 11209816. Give f(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 555 (b) 431 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 852078 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 7. Suppose -k + 66 = -w*k. Suppose -78 = z - 3*j, -z + 0*z - 3*j = k. Round z to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-26) - 714\/(-78). Find the second derivative of 5*c - 132*c**3 + 183*c**3 + c**5 + m - 2*c**5 wrt c.\nAnswer: -20*c**3 + 306*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5942 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 3520?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5680 + 5694. Solve -4*o + p = -0*g - g, -g - 2*o = -10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51203, -102384, -153537, -204650, -255711?\n\"Answer: 2*q**3 + 2*q**2 - 51201*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (0 + ((-1 + sqrt(700))*6 - sqrt(700)) + (4 + sqrt(700) + -1 - sqrt(700)))*3))**2.\nAnswer: -75000*sqrt(7) + 3940000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 363191083*d**3 - 639467070*d wrt d?\nAnswer: 2179146498*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, b: 10}. What is prob of sequence bww?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/7 - 1226*x**3\/7 + 10926*x**2\/7 - 32670*x\/7 + 32616\/7.\nAnswer: 2*(x - 604)*(x - 3)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-39))\/(1\/33). What is the highest common divisor of 88 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 43259231 and 43259226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -936313 divided by -6.\nAnswer: 936313\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*i + 3704 + 3757 = -4197 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 17. Let m be 1*(-20)\/w + 3. Let o = 0.121 + 1.879. Which is the biggest value? (a) 4 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14718997?\nAnswer: 14718997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43797, -87595, -131393, -175191, -218989, -262787?\n\"Answer: -43798*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*w = -98*w - 29012. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/240*4*4. Let i = 9.3 - 16.9. Let z = 10.6 + i. Which is the biggest value? (a) l (b) 5 (c) -3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 6792.\nAnswer: 6792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*d - 186*d + 527*d - 59*d - 123*d.\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 292 = -117. Suppose i = -2*q + 4*i + 403, w*i - 234 = -q. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*c + 2*c. Let k = -7 + c. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -3 - 8) + 0 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 12:53 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(5\/4)*v*v*v\/(v*v\/v**27)*(v**(6\/13)\/v)**(4\/39))**(2\/3) assuming v is positive.\nAnswer: v**(63263\/3042)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.591603741 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 3876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, f: 8, k: 5}. What is prob of picking 1 k and 2 x?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 781666501 + -14243742955\/18. Let t = p + 9648591. Let k = -3963 - t. Find the common denominator of -49\/27 and k.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**3 - 6*y**2 - 2*y. Let a be h(-2). Let q be 18*3\/a*2\/(-3). What is the closest to 0.1 in 0.5, -5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 52.22\nAnswer: -10.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 11*g**2 + 6*g - 35. Let b be t(-10). Solve 0 = -u + b*u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**4\/12 - 4*v**3\/3 + 5*v**2\/2 - 8*v. Determine g(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/121? (a) -5 (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**30\/(h**(14\/9)*h*h))\/(h**(29\/3)\/(h\/((h**(-11\/3)*h)\/h))) assuming h is positive.\nAnswer: h**(193\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6608547 and 4205439.\nAnswer: 46259829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -0.033596.\nAnswer: 0.0016798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:20 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*v + 935, -52 = -5*z - 57. Calculate the greatest common divisor of 517 and v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3870 divide 852469594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-238)\/84 - (-3 + (-1 - -1)). Let x = -48.8835 - 0.0165. Let r = x + 51. What is the second biggest value in o, r, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v + 30*v + 35*v + 2*v**2 + 3*v**2 - 13 - 6*v**2 as c*v**2 + o + i*v and give i.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 269*l**3 + l**2 + 2*l + 3. Let g be s(-2). Let j = g - -513609\/239. Let m = j - -315\/9082. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 45510 = -4*k - 974. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2492*p + 2503*p = 1287. What is the remainder when p is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = -3*c + 456, 0 = -2*c + 5*u + 329. Suppose -3*r + 2*t = -c, -4*r - 4*t - t = -240. Is r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808226.\nAnswer: 2, 404113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/308*-28*(-2 + 24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 2*y**3 + 647*y**2 - 1062*y**2 - 7*y.\nAnswer: y**3 - 415*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2188 rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -266*b*x**4 + 2*b*x**3 + 9110*b*x**2 + 19146*x**4 - 116*x**2 - 7*x wrt x.\nAnswer: -6384*b*x + 12*b + 459504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*80\/5760*-99?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of s**8\/336 - s**7\/210 - s**6\/120 + s**5\/60 + 8*s**2. Factor f(o).\nAnswer: o**2*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 5 (c) 32 (d) -1 (e) -2 (f) 0.323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/165476 or 0?\nAnswer: 27\/165476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 68.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 7*b - 40 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 869951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h**2 + 3*h)*((-51 + 64 - 76)*(-3 + 1 + 3) + (4 - 5 + 0)*(2 - 1 - 2))*(0 + 0 - 2*h).\nAnswer: -124*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 12, q: 2, g: 1, r: 1, v: 3, k: 1}. What is prob of picking 2 v, 1 k, and 1 s?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/8 and -21\/3891457.\nAnswer: 31131656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 9114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 2) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42*-42*(-6)\/(-126))\/(150\/(-14)).\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 23395544675412 and -5.\nAnswer: 23395544675407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 3*d - 1, 0 = -3*x - d + 4*d - 9. Let j be ((-280)\/80)\/(x - (-1)\/2). Calculate the remainder when 34 + 1 + j\/(-7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2135*t = 2141*t - 208848. List the prime factors of t.\nAnswer: 2, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21302, -42603, -63902, -85199, -106494, -127787?\nAnswer: -149078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-653 - -600 - (0 + 1))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o**3 - 33*o - 13. Let f(y) = 8*y**3 - 16*y - 6. Let w(c) = -7*c**2 - 182*c + 13. Let j be w(-26). Give j*f(i) - 6*m(i).\nAnswer: 2*i**3 - 10*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -0*t - 12. Let o(x) = 247499*x**3 + 3*x**2 - 2*x. Let u be o(t). What is u rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 7*l + 73, 4 - 37 = 3*d - 2*l for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -18)*12\/24. Let h be (-1 + (-1)\/3)*-3. Suppose 4*c + 3*n = 5, h*c - n = -0*n + o. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53921 - 10498. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420298, 421318, 422338, 423358, 424378, 425398?\nAnswer: 426418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/4 + 790905*l**2 + 44290239*l\/4 + 77507661\/2.\nAnswer: 3*(l + 7)**2*(l + 1054526)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14195, 14280, 14457, 14756, 15207, 15840?\n\"Answer: 5*f**3 + 16*f**2 + 2*f + 14172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13163 (base 8) to base 13.\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 1. Let u = 13 - 14. Let h(m) be the third derivative of m**4\/4 + m**3\/2 + 2*m**2. Give u*h(y) - 5*w(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 129 = -4*f - 258 + 131, -4*w - 224 = -42*f for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*18\/21)\/((-2)\/(-7)). Let a = 7 + -7.3. What is the closest to -1 in -3, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-114*c + 58*c - 2 + 63*c)*(-162*c**2 + 298*c**2 - 176*c**2) to the form h + m*c**3 + r*c**2 + x*c and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 3*b**2 - 31. Is k(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.15 - 1.55. Which is the second biggest value? (a) r (b) -2 (c) -3\/13 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**3 + 0*s**3 + 0*s**3)*(3*s**2 + 0*s**2 - 2*s**2) + 28*s**5 + 28*s**5 + 76*s**5.\nAnswer: 133*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909587?\nAnswer: 7, 19, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 12*y**2 - y - 13. Let m be v(-12). Put 11, -3, m in increasing order.\nAnswer: -3, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w - 2*v - 7, 2*w = 3*v + 17. Let m be ((-5)\/10)\/(w\/(-34)). Suppose -62 = 5*g - 402. What is the greatest common divisor of m and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-595)\/(-5208)) + 18936\/(-3945).\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(640\/(-20))*-2*25?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139.0000515 + 139. Round s to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-12))\/((-4)\/(-16)). Let r be (-35)\/(-42) - 35\/6. Sort t, 5, r.\nAnswer: r, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**5 + 2*i**4 - 2*i**3 - 6*i + 165?\nAnswer: -40*i**3 + 24*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -5, 279 in descending order.\nAnswer: 279, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r, -5*r + 10 = -4*m + 40. Suppose -3*v = -h + m, 2*h + v - 80 = -h. Suppose 0*n = n, 0 = 5*b + n - h. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 9*d**2 + 3*d + 9. Is j(9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1121 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -101200110121?\nAnswer: -101200110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, 4*w + 8 = 2*w - z. Let j(l) = 6*l**2 - 5*l + 9. Let v(a) = 5*a**2 - 5*a + 8. Let x(b) = w*j(b) + 5*v(b). What is x(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/3220 and -97\/736?\nAnswer: 25760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 829, 1062, 1319, 1576, 1809, 1994, 2107?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 53 - 15*l**2 + 50 - 101. Let q(u) = 1. Determine -f(g) + 4*q(g).\nAnswer: 15*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -23. Suppose m = 2*g - 416, -2*g - 3*m + 633 = g. Suppose -o - g = -v - 2*v, 3*v - 233 = -l*o. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 552516 or 1209?\nAnswer: 1209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*b + 166*b = 5660 - 23191 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + (sqrt(320)*-2 - sqrt(320)) - -3*sqrt(320)*1) + 1 + sqrt(320)*1 + 3 + 2)*5)**2*2.\nAnswer: 800*sqrt(5) + 16050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x + 3*j - 68, 0 = -3*j - 6. Let o = -71 - x. Solve u - 5*u = -3*w - 7, -5*u - o*w + 29 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 20 + 22 = 0. Let v(j) = -66*j + 4. Let d be v(p). What is the highest common divisor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29472, 29264, 29056, 28848?\nAnswer: 28640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6589.3255 - 587?\nAnswer: 6002.3255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u**2 - 16250*u - 13203125 = 0. What is u?\nAnswer: -1625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12676604 is divided by 1572?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.25453721 - 17.56.\nAnswer: -19.81453721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -555 - 1?\nAnswer: -556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16627.\nAnswer: 13, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43529380 rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233143 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: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13813 is divided by 291?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 15*s - 19. Let i be l(-13). Let a = -6 + i. What is the least common multiple of a + 2 + 19 + -4 + 2 and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0229*3.\nAnswer: -0.0687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27534666 and 2597610?\nAnswer: 137673330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5051462, 5051458, 5051454, 5051450, 5051446?\n\"Answer: -4*q + 5051466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*((-2*sqrt(350) + sqrt(14))\/(sqrt(42)\/(sqrt(6) - sqrt(54))) + 3)**2*3)*-1.\nAnswer: -7886 - 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-992)\/((-21)\/12 + 3). Let v = 3231\/10 + z. Let g = v - -14011\/30. Calculate the common denominator of g and 95\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -69 + 61. Let w = u + 88. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/((-8)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**2 + 37*n**2 + 27*n**2.\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/4478530 and 79\/350?\nAnswer: 22392650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35693 or -36313?\nAnswer: -35693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.14566 litres to millilitres.\nAnswer: 43145.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 0 - 6 + 40*z + 5 + 0. Let x be f(1). Let b = x - 28. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbjrgbqsr. Give prob of picking 1 r, 1 s, and 2 b.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -161, -329, -503, -683, -869?\n\"Answer: -3*z**2 - 159*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -123 - -2 - (-14715 - -14739).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 6. Let w be m(5). Put w, 0, -2 in increasing order.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16*a)\/a*(a**(-1\/10)\/a)\/a assuming a is positive.\nAnswer: a**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/26 + (-4)\/26. Let i = 11 - r. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 6*v**2 + 3*v - 176. Let u(i) = -i**3 + 8*i**2 + 2*i - 180. What is -3*u(y) + 4*x(y)?\nAnswer: -y**3 + 6*y - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 13 + -4 - (-7 + 22 + -17 - 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12370, 12378, 12386, 12394, 12402, 12410?\n\"Answer: 8*r + 12362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44220 - -44752. What is the least common multiple of z and 28?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5010.11 rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5 - 2446*p**4 + 143198*p**3 + 430695150*p**2 - 2587773888*p + 3883396608 = 0.\nAnswer: -351, 3, 784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + w - w + 4*w as q + s*w and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*r**3 - 13*r**3 - 9*r**3)*(9 + 8 - 14)*(-4*r + 3*r + 2*r) to v*r**2 + q + g*r + w*r**3 + m*r**4 and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-2*sqrt(1764) + sqrt(1764))\/sqrt(7))**2 + ((-4*sqrt(21))\/sqrt(3) - (sqrt(567) - (sqrt(567) + 3)))**2.\nAnswer: -24*sqrt(7) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34777020 divided by -12.\nAnswer: -2898085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8032*h**3*p + 2*h**3 + 10*h + 1 wrt p?\nAnswer: -8032*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(121)*-2 - sqrt(121))*6)\/(-6*2*sqrt(11)*-4))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 88*l - 431. Let n(u) = -52*u + 216. Calculate 7*n(w) + 4*x(w).\nAnswer: -12*w - 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104 + 188. Let y = -87 + d. Let j be -2 + 96\/(y + 1). Is j greater than or equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -14*s + 13*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*n = 223*n + 42 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = 0, -6*m + 7*m + 15 = -y + m + 15*m - 27 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17548, -140411, -473890, -1123291, -2193920, -3791083?\n\"Answer: -17551*u**3 - 2*u**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**2*v*x**2 - 3*t**2*v*x + 2*t**2*x**2 + 5*t*v*x**2 - 8*t*v*x - 2*t*x**2 wrt t?\nAnswer: -2*v*x**2 - 6*v*x + 4*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s - 3968 - 3895 + 7761 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2 - 8 + 4 + 4 + 2*l. Let v(q) be the third derivative of q**4\/24 + q**3\/6 + 25*q**2. Suppose p - 3*p + 8 = 0. Calculate p*v(z) - 3*o(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 1. Let f be k(2). Let r(a) = -318*a**2 + 11. Let t(l) = 106*l**2 - 4. Let o(z) = -3*r(z) - 8*t(z). Is o(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5 + (-1*-1*sqrt(2499))\/(2*(sqrt(75) + sqrt(75) + (sqrt(75) - 2*sqrt(75))))))**2.\nAnswer: 252*sqrt(17) + 29997\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 10*g - 27. Is 67 a factor of m(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17050 - -28356. Is k a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0. Let b = 27478\/21 + -1308. Let f = b - 1\/3. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3814, -7613, -11412, -15211, -19010, -22809?\nAnswer: -26608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2 - 1. Suppose -q = 3*g - 24. Suppose 2*z + 2*t - 18 = -0*t, -4*z = 5*t - 41. What is the remainder when g is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*j - 118. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 0*r - 1\/24*r**4 + 0 + 9*r**2 + 8\/3*r**3. Give w(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 10*k**2 + 20*k + 96. What is u(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*o**2 + 483*o**2 + 439*o**2 - 1413*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q**2 + 4 - 4)*(-2*q - 8*q + q) + 16*q**3 + 23*q**3 - 12*q**3)*(q - q + 2*q**2).\nAnswer: 18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5380 + -5371. Solve m + r = 6*f - 11*f, -4*m + 3*f + 10 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 82 + (-3 - 2)\/(-5). Is 84 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 + -0.228.\nAnswer: -0.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) 11 (d) 153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 j when two letters picked without replacement from {g: 6, j: 3, x: 1, k: 1, o: 1, e: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in -2\/11, -0.1, 2\/3, 31, -0.07?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 12 = 3*k, -4*l = -0*l + k + 4. Let z be 113 - (1 + -3 - l). Let t = z + 535. What is t rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 10 = -4*b. Let j(a) = 7*a**2 - a - 3. Let w(g) = g**2. Let x = -567247 + 567248. What is b*w(q) + x*j(q)?\nAnswer: q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 4*t - 2. Let q be 36\/(-8) + (-1)\/2. Let i(p) = p**2 + p. Suppose 77*h = 21*h - 56. Determine h*y(j) + q*i(j).\nAnswer: -3*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -243 + -205744.723\nAnswer: -205987.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 79 = -4*d - 13, -5*d = -5*w - 70. Let v = 27 - d. Calculate the remainder when ((-2)\/3)\/(v\/(-528)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315372247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -220 * 1337.\nAnswer: -294140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -60\/13159?\nAnswer: -60\/13159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3 - 436*h**2 - 2266*h + 804.\nAnswer: -2*(h + 6)*(h + 67)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:28 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273*v*y**3 + 119*v*y**2 + 6*v*y - v + 512*y - 3 wrt y?\nAnswer: -1638*v*y + 238*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/7 - (-2)\/7. What is the units digit of (q\/(-4))\/(7\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3738 - -2.363069. What is p rounded to 4 decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 274 + -192. Suppose -5*p = 4*q + y, p + 1 = -1. Let u be q\/81 - (-137)\/9. Solve 0*d - 4*v = -4*d - 20, 5*v = u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56129.65cm?\nAnswer: 561.2965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 5*s**2 - 4*s - 7. Let d be m(6). Suppose 6*p - 3*p = -3. Let n = 1 + p. Solve 5*h + d*b = 5, 3*h + n*b - 3*b = -9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((2\/18)\/((-6)\/18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 132*n + 3. Let l be m(-13). Let o = 1736 - l. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12591.11 meters?\nAnswer: 12591110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**3 + 17*p**2 - 9*p + 7. Let z(o) = -6*o**3 + 16*o**2 - 9*o + 6. Suppose 8 = -11*n + 9*n. Let k(t) = n*w(t) + 5*z(t). Is k(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**41*r**19\/r**18)**(-2\/13) assuming r is positive.\nAnswer: r**(-248\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*f - 30, -15 = -f + 2*u + 2*u. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19000*m**2*o*r - 4*m**2 + 13*m*r - 224*m - 42*o**4*r wrt o.\nAnswer: 19000*m**2*r - 168*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*m**3*y**2 + m**3*y + 11*m*y**2 + 2*m*y - 2*y wrt y.\nAnswer: -12*m**3 + 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:16 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986329789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-9)))\/(t\/t**(3\/20)) assuming t is positive.\nAnswer: t**(-197\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 89048 and 1.\nAnswer: 89049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d + 1. Let g be o(1). Suppose j = -4*j. Suppose 0 = -j*h + h - g. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4873.\nAnswer: 11, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 18*d + 7 - 24 - 18*d in the form z + l*d + k*d**3 + n*d**2 and give z.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13\/42 + 31\/70. Which is the third biggest value? (a) 13\/2 (b) n (c) 0.6 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 i, and 1 b when three letters picked without replacement from {q: 1, x: 1, o: 3, b: 3, i: 2}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*b - 3*m - 123 = 0, 241*b + 8 = 243*b + 4*m for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.214153 - 5268.088153. Let m = 5217.8 + s. Let y = 47 + m. What is y rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117) + 3 + sqrt(117) + 0)*5 + -6*(sqrt(117) + ((3 + sqrt(117)*-2)**2 - sqrt(117) - sqrt(117) - sqrt(117))).\nAnswer: -2847 + 297*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2533697*y**3 + 4131049 wrt y?\nAnswer: -7601091*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*g = 1, 2*g - 10 + 4 = -4*c. Let w be (c\/(-2) - -9)\/1. Solve 0 = 5*i + 28 - w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:32 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v - v**2 - 9*v**2 + 7*v.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2726*n - 2725*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16*0.4224\nAnswer: 6.7584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:13 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12041444 (base 6) to base 11\nAnswer: -239682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 4*i**2 - 7*i - 3. Let f(c) = -c**3 + 6*c**2 + 5*c + 9. Let q be f(7). What is the units digit of v(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 2. Let r(s) be the third derivative of -s**3\/6 - 2*s**2. Let l = -18 + 20. Suppose 3*j = -4*c - 16 + l, -c = -j + 7. Calculate j*g(n) - 5*r(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 446.412 - 0.412. Let f = c - 446.00000368. Round f to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323455 (base 8) in base 10?\nAnswer: 108333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 5) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*h = -42, -13*h + 8*h + 57 = c. Differentiate 2*u + 136*u - c*u - 223 wrt u.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 1488 + 1488.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12 (b) 2 (c) -0.0006 (d) 2\/17 (e) 10\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d3 - 1?\nAnswer: -1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 - -61. Let y = s + 66. Suppose 2*n - 4*h = -6 + y, -2*h + 84 = 5*n. Calculate the least common multiple of 14 and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44445 - 2?\nAnswer: 44443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/32 and 39\/4064.\nAnswer: 4064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, n: 1}. Give prob of sequence vv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let x(b) = -17*b + 126. Suppose 0 = a - 3*k - 1, 15 = a - 5*k + 9*k. What is the remainder when x(a) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1624)\/(-53940))\/(224\/(-160)).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -504853*b. Let q(c) = -10*c**2. Give a(q(f)).\nAnswer: 5048530*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -21 - -7) + 23\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2068*k + 128274. Calculate z(-62).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.5 (c) -1\/3 (d) -0.09 (e) 105 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 184059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 9965000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -234, 2, -2, 60 in decreasing order.\nAnswer: 60, 5, 2, -2, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 457695, 457694, 457693?\nAnswer: 457692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 56 and -132165.\nAnswer: -7401240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20900, 41786, 62672, 83558, 104444?\nAnswer: 125330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/9)\/(1\/(135\/(-30))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 2*p, -9 = -4*u + 4*p - 5*p for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -31*a**2 + 31*a**2 + 4*a**5 + (a**5 + a**5 - a**5)*(5 + 0 - 4) + 4*a**5 + 7*a**5 + 17*a**5.\nAnswer: 33*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + (sqrt(75) - (sqrt(75) - ((-5*sqrt(75) - sqrt(75)) + sqrt(75) - sqrt(75)))))*-4)**2.\nAnswer: -25920*sqrt(3) + 390096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4984, 5841, 6700, 7561?\n\"Answer: w**2 + 854*w + 4129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.6 + -10.77. Which is the third biggest value? (a) -4 (b) -5 (c) n (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4247234.\nAnswer: 2, 2123617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2733473 plus 5?\nAnswer: 4.7266527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4948 a factor of 3472789638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2227641738.\nAnswer: 2, 3, 7, 19, 2791531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 59*l - 4. Let g be c(-4). Let r = 603 + g. Calculate the greatest common divisor of 33 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - w)*(-83*w + 22*w - 478 + 21*w + 47*w).\nAnswer: -7*w**2 + 478*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 + u + 2. Let w(d) = -17*d**2 + 4*d + 8. Let m(s) = -2*s**2 - 4*s + 4. Let q be m(3). Let g(i) = q*f(i) + 6*w(i). What is g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-4 - (-112)\/42). Let r(d) = d**2 - d + 2. Let l be r(2). Suppose -3*i + 4*i = -3, 4*i = l*c - o. Which is smaller: c or -2\/203?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 250 = -306 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697876 is divided by 11472.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 84217917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 - 41*b**2 + 25*b + 8. What is the tens digit of q(18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -43*u + 46. Let z(a) = -42*a + 68. Let n(x) = 3*p(x) - 2*z(x). Let v(q) = q**2 - 2*q**2 - q**2. Calculate n(v(j)).\nAnswer: 90*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**2 + 9*t + 7. Let v be 77\/(-14)*18\/(-33). Let a(o) = -9*o**2 - 17*o - 14. Let i(r) = v*a(r) + 5*m(r). What is i(-5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -6\/65, -401, -1, -2\/9?\nAnswer: -401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3463576.\nAnswer: 2, 563, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, -76, -2, 5\/64, -1, -4 in ascending order.\nAnswer: -76, -4, -2, -1, 5\/64, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 148*j**5 + 309*j**2?\nAnswer: 8880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**4\/2 + 309*f**3\/2 - 3273*f**2\/2 - 309*f\/2 + 1638 = 0. What is f?\nAnswer: -1, 1, 12, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.2 - 5.37. Let v = r - -1.57. Put 0.4, 0.5, 3, v in decreasing order.\nAnswer: 3, 0.5, 0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -259 + 269. Let u(a) = -11*a + 115. What is the smallest common multiple of 5 and u(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 3*n + 8. Let c be o(-3). Let x be (-7 - -8)\/((-2)\/c). Let u be 11 + -11 - (x + 0) - 2. Let a(k) = k - 3. Calculate a(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*y + 36, -4*t - 3*y + 68 = -4. Suppose -4*j + t = 3*k + 2*k, 5*j = -15. Solve 0 = 2*i, -4*i = 2*v - i + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 318 - 318 - 11*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -50856, -101712, -152570, -203430, -254292?\n\"Answer: -q**2 - 50853*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/(-15))\/4*63. Calculate the highest common factor of c and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9af5a (base 16) to base 10.\nAnswer: 634714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 101102022210?\nAnswer: -101102100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.031 - -0.431. What is the fourth biggest value in -0.5, c, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5906c (base 14) in base 4?\nAnswer: 310330220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -25. Suppose 0 = 2*v + 2*m + 4, 0*m + 34 = -5*v + m. Let f = v + t. Let y(a) = a - 4. Determine y(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 32. Let y = x - -6.28. Let c = 0.28000075 - y. Round c to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 1\/2 (c) -107 (d) -2\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:13 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 minutes before 1:46 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 735757, 735734, 735711, 735688, 735665?\n\"Answer: -23*x + 735780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**(1\/14)*f))\/f*f\/(f\/(f**(-5\/4)*f)))**(4\/5) assuming f is positive.\nAnswer: f**(-89\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133928 is divided by 167?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**0\/q**(-5\/2))**(-12\/5))**5)**(-45\/2) assuming q is positive.\nAnswer: q**675","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -3. Let m(w) = 12*w**2 - 12*w**3 + 5*w**a + 8*w**3 + 10. Is m(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h + 34. Let j be w(-6). Let n = 100 - j. What is the highest common divisor of n and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/4 of a century?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28764 + -0.04907?\nAnswer: -0.33671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, -38, -180, -464, -938, -1650, -2648, -3980?\nAnswer: -5694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-406)\/(-28) - 13)\/(((-18)\/568)\/(-3)). Which is smaller: 152 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-2 - (10 - -11)). Suppose 2*y - 13 - 32 = -5*z, -4*y = 2*z - 34. Let v = s - z. Is 18 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1418 - 568.1418. Let t = h + 567.9063. Let x = t + 0.069. Round x to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 1:43 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from uffpffuuupupufuu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/79740 and 97\/66450?\nAnswer: 398700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*t = 27, -2*k + 17 = 6*t - t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlljljonenjo. Give prob of picking 1 l and 1 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12a (base 16) to base 11\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w + 2. Suppose 0 = -3*k + 2*k + 2. Let g be k*-3*5\/(-6). Let f(c) = c**3 - 5*c**2 + c - 4. Let u be f(g). Let a(n) = n. Calculate u*h(p) + 6*a(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2653939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 2*q)*(-40 + 67 + 107 + 23).\nAnswer: -157*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 + (-13)\/(-3). Suppose 0 = -5*o + m + m - 14, -g*o - 4*m - 2 = 0. Sort -1\/8, -0.5, o in ascending order.\nAnswer: o, -0.5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/78250 and 56\/70425?\nAnswer: 704250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -97 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243\/40 + 55\/8. Put 0.3, f, 2, 0 in ascending order.\nAnswer: 0, 0.3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2. Let y(u) = -3*u - 2. Let z(n) = -80*n - 55. Let v(d) = 55*y(d) - 2*z(d). Calculate v(j(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2594200 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}